-
Translation
NDSU Virtual Cell Animations project animation "Translation". For more information, see http://vcell.ndsu.nodak.edu/animations
Translation is a key process in biological lifeforms. It is this set of events that transforms the code contained in DNA and later mRNA into the proteins necessary for cellular life.
published: 30 Jan 2008
-
Eukaryotic Translation (Protein Synthesis), Animation.
Purchase a license to download a non-watermarked version of this video on AlilaMedicalMedia(dot)com
Check out our new Alila Academy - AlilaAcademy(dot)com - complete video courses with quizzes, PDFs, and downloadable images.
©Alila Medical Media. All rights reserved.
The translation process involves the following components:
- mRNA or messenger RNA containing the genetic information to be translated.
- tRNA or transfer RNA bringing in the amino acids – the building blocks of the protein.
- Ribosome – the machine that performs the translation. The ribosome has two subunits: small and large.
- Several initiation factors, elongation factors, and release factors. These factors assist with initiation, elongation and termination of the process, respectively.
Steps of the translation process:...
published: 26 Nov 2014
-
How are Proteins Made? - Transcription and Translation Explained #66
This video covers:
- The two steps of protein synthesis: transcription and translation
- Transcription is the production of mRNA, which is a copy of a gene
- Translation is the production of a sequence of amino acids (a polypeptide) using that mRNA
Exam board specific info:
AQA - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
IGCSE Edexcel - Separate/triple science and higher tier only
Edexcel - Separate/triple science and higher tier only
OCR 21st Century - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
OCR Gateway - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
Maths Playlist:
https://www.youtube.com/playlis...
published: 15 Mar 2020
-
Cell Biology | Translation: Protein Synthesis 🧬
Official Ninja Nerd Website: https://ninjanerd.org
Ninja Nerds!
In this lecture Professor Zach Murphy will be teaching you about Translation: Protein Synthesis. We hope you enjoy this lecture and be sure to support us below!
Join this channel to get access to perks:
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DISCORD | https://discord.gg/3srTG4dngW
#ninjanerd #Translation #CellBiology
published: 06 Apr 2021
-
mRNA Translation (Advanced)
The job of the mRNA is to carry the gene's message from the DNA out of the nucleus to a ribosome for production of the particular protein that this gene codes for.
Originally created for DNA Interactive ( http://www.dnai.org ).
TRANSCRIPT: The job of this mRNA is to carry the genes message from the DNA out of the nuceus to a ribosome for production of the particular protein that this gene codes for. There can be several million ribosomes in a typical eukaryotic cell these complex catalytic machines use the mrna copy of the genetic information to assemble amino acid building blokes into the three dimensional proteins that are essential for life. Lets see how it works. The ribosome is composed of one large and one small sub-unit that assemble around the messenger RNA, which then passes thr...
published: 22 Mar 2010
-
Transcription and Translation: From DNA to Protein
Ok, so everyone knows that DNA is the genetic code, but what does that mean? How can some little molecule be a code that makes a single cell develop into a giraffe, or a monkey, or Tony Danza? Within this clip lie the answers, child! It's all about transcription and translation.
Watch the whole Biochemistry playlist: http://bit.ly/ProfDaveBiochem
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biology Tutorials: http://bit.ly/ProfDaveBio
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
Mathematics Tutorials: http://bit.ly/ProfDaveMaths
EMAILâ–ş [email protected]
PATREONâ–ş http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Or...
published: 09 Sep 2016
-
Translation (mRNA to protein) | Biomolecules | MCAT | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/science/ap-biology/gene-expression-and-regulation/translation/v/translation-mrna-to-protein
A deep dive into how mRNA is translated into proteins with the help of ribosomes and tRNA.
Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/differences-in-translation-between-prokaryotes-and-eukaryotes?utm_source=YT&utm_medium=Desc&utm_campaign=mcat
Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/speed-and-precision-of-dna-replication?utm_source=YT&utm_medium=Desc&utm_campaign=mcat
MCAT on Khan Academy: Go ahead and practice some passage-based questions!
About Khan Academy: Khan Academy offers prac...
published: 07 Jun 2016
-
DNA Translation Made Easy
Download Marrow Free : http://marrow.roundsapp.org/install
Cells need translation to stay alive, and understanding how it works (so we can shut it down with antibiotics) can save us from bacterial infections. Let's take a closer look at how translation happens, from the first step to the final product.
The genetic code
In an mRNA, the instructions for building a polypeptide come in groups of three nucleotides called codons. Here are some key features of codons to keep in mind as we move forward:
There are 616161 different codons for amino acids
Three “stop” codons mark the polypeptide as finished
One codon, AUG, is a “start” signal to kick off translation (it also specifies the amino acid methionine)
These relationships between mRNA codons and amino acids are known as the genetic code (w...
published: 15 May 2018
-
MCGI Bible Study | English Translation | Tuesday, August 8, 2023 at 12 AM PHT
Spend a meaningful time listening and learning from God’s words.
Catch the MCGI Bible Study in all MCGI social media pages, happening at 12 a.m. PHT (12 p.m. EDT). Hosted by Brother Eli Soriano and Brother Daniel Razon.
Tune in via our official websites and social media accounts:
MCGI Channel »»
youtube.com/MCGIChannel
MCGI »» https://www.facebook.com/MCGI.org/live
To watch MCGI Bible Study in your preferred languages, please go to: https://www.mcgi.org/live.
* * * * * * *
For more information, please send us your message on our Facebook page: https://m.me/MCGI.org
You may also contact us through the following:
» Email: [email protected]
» Viber: +63 943 254 5390
Local:
» Globe: +63 915 189 7007
» Smart: +63 918 438 8988
» Sun: +63 943 411 8001
#WhatTheBibleSays
published: 07 Aug 2023
-
Interpreter Breaks Down How Real-Time Translation Works | WIRED
Conference interpreter Barry Slaughter Olsen explains what it's really like to be a professional interpreter. Barry goes behind the scenes of his vocation, breaking down the many real-life scenarios he faces on a day-to-day basis. From simultaneous and consecutive interpretation to chuchotage and décalage, take a peek behind what it really takes to be a professional interpreter.
Barry Slaughter Olsen is the Professor of Translation and Interpretation at Middlebury Institute of International Studies.
NOTE: The techniques employed in this video are not all applicable to interpreting in a courtroom setting, where expectations regarding accuracy and completeness can be quite different. In this sense, legal interpreting is unique. More information on standards for interpreting in the U....
published: 24 Jun 2019
3:33
Translation
NDSU Virtual Cell Animations project animation "Translation". For more information, see http://vcell.ndsu.nodak.edu/animations
Translation is a key proces...
NDSU Virtual Cell Animations project animation "Translation". For more information, see http://vcell.ndsu.nodak.edu/animations
Translation is a key process in biological lifeforms. It is this set of events that transforms the code contained in DNA and later mRNA into the proteins necessary for cellular life.
https://wn.com/Translation
NDSU Virtual Cell Animations project animation "Translation". For more information, see http://vcell.ndsu.nodak.edu/animations
Translation is a key process in biological lifeforms. It is this set of events that transforms the code contained in DNA and later mRNA into the proteins necessary for cellular life.
- published: 30 Jan 2008
- views: 4288910
3:50
Eukaryotic Translation (Protein Synthesis), Animation.
Purchase a license to download a non-watermarked version of this video on AlilaMedicalMedia(dot)com
Check out our new Alila Academy - AlilaAcademy(dot)com - co...
Purchase a license to download a non-watermarked version of this video on AlilaMedicalMedia(dot)com
Check out our new Alila Academy - AlilaAcademy(dot)com - complete video courses with quizzes, PDFs, and downloadable images.
©Alila Medical Media. All rights reserved.
The translation process involves the following components:
- mRNA or messenger RNA containing the genetic information to be translated.
- tRNA or transfer RNA bringing in the amino acids – the building blocks of the protein.
- Ribosome – the machine that performs the translation. The ribosome has two subunits: small and large.
- Several initiation factors, elongation factors, and release factors. These factors assist with initiation, elongation and termination of the process, respectively.
Steps of the translation process:
Initiation (eukaryotes) : The small ribosomal subunit binds to the initiator tRNA carrying the initiator amino acid methionine. This complex then attaches to the cap structure at the 5’ end of an mRNA and scans for the start codon AUG. The process is mediated by several initiation factors. At the start codon, the large ribosomal subunit joins the complex and all initiation factors are released. The ribosome has three sites: the A-site is the entry site for new tRNA charged with amino-acid or aminoacyl-tRNA; the P-site is occupied by peptidyl-tRNA - the tRNA that carries the growing polypeptide chain; the E-site is the exit site for the tRNA after it’s done delivering the amino acid. The initiator tRNA is positioned in the P-site.
Elongation: A new tRNA carrying an amino acid enters the A-site of the ribosome. On the ribosome, the anticodon of the incoming tRNA is matched against the mRNA codon positioned in the A-site. During this proof-reading, tRNA with incorrect anticodons are rejected and replaced by new tRNA that are again checked. When the right aminoacyl-tRNA enters the A-site, a peptide bond is made between the two now-adjacent amino-acids. As the peptide bond is formed, the tRNA in the P-site releases the amino-acids onto the tRNA in the A-site and becomes empty. At the same time, the ribosome moves one triplet forward on the mRNA. As a result, the empty tRNA is now in the E-site and the peptidyl tRNA is in the P-site. The A-site is now unoccupied and is ready to accept a new tRNA. The cycle is repeated for each codon on the mRNA.
Termination: Termination happens when one of the three stop codons is positioned in the A-site. No tRNA can fit in the A-site at that point as there are no tRNA that match the sequence. Instead, these codons are recognized by a protein, a release factor. Binding of the release factor catalyzes the cleavage of the bond between the polypeptide and the tRNA. The polypeptide is released from the ribosome. The ribosome is disassociated into subunits and is ready for a new round of translation. The newly made polypeptide usually requires additional modifications and folding before it can become an active protein.
https://wn.com/Eukaryotic_Translation_(Protein_Synthesis),_Animation.
Purchase a license to download a non-watermarked version of this video on AlilaMedicalMedia(dot)com
Check out our new Alila Academy - AlilaAcademy(dot)com - complete video courses with quizzes, PDFs, and downloadable images.
©Alila Medical Media. All rights reserved.
The translation process involves the following components:
- mRNA or messenger RNA containing the genetic information to be translated.
- tRNA or transfer RNA bringing in the amino acids – the building blocks of the protein.
- Ribosome – the machine that performs the translation. The ribosome has two subunits: small and large.
- Several initiation factors, elongation factors, and release factors. These factors assist with initiation, elongation and termination of the process, respectively.
Steps of the translation process:
Initiation (eukaryotes) : The small ribosomal subunit binds to the initiator tRNA carrying the initiator amino acid methionine. This complex then attaches to the cap structure at the 5’ end of an mRNA and scans for the start codon AUG. The process is mediated by several initiation factors. At the start codon, the large ribosomal subunit joins the complex and all initiation factors are released. The ribosome has three sites: the A-site is the entry site for new tRNA charged with amino-acid or aminoacyl-tRNA; the P-site is occupied by peptidyl-tRNA - the tRNA that carries the growing polypeptide chain; the E-site is the exit site for the tRNA after it’s done delivering the amino acid. The initiator tRNA is positioned in the P-site.
Elongation: A new tRNA carrying an amino acid enters the A-site of the ribosome. On the ribosome, the anticodon of the incoming tRNA is matched against the mRNA codon positioned in the A-site. During this proof-reading, tRNA with incorrect anticodons are rejected and replaced by new tRNA that are again checked. When the right aminoacyl-tRNA enters the A-site, a peptide bond is made between the two now-adjacent amino-acids. As the peptide bond is formed, the tRNA in the P-site releases the amino-acids onto the tRNA in the A-site and becomes empty. At the same time, the ribosome moves one triplet forward on the mRNA. As a result, the empty tRNA is now in the E-site and the peptidyl tRNA is in the P-site. The A-site is now unoccupied and is ready to accept a new tRNA. The cycle is repeated for each codon on the mRNA.
Termination: Termination happens when one of the three stop codons is positioned in the A-site. No tRNA can fit in the A-site at that point as there are no tRNA that match the sequence. Instead, these codons are recognized by a protein, a release factor. Binding of the release factor catalyzes the cleavage of the bond between the polypeptide and the tRNA. The polypeptide is released from the ribosome. The ribosome is disassociated into subunits and is ready for a new round of translation. The newly made polypeptide usually requires additional modifications and folding before it can become an active protein.
- published: 26 Nov 2014
- views: 1343947
11:21
How are Proteins Made? - Transcription and Translation Explained #66
This video covers:
- The two steps of protein synthesis: transcription and translation
- Transcription is the production of mRNA, which is a copy of a gene
- Tr...
This video covers:
- The two steps of protein synthesis: transcription and translation
- Transcription is the production of mRNA, which is a copy of a gene
- Translation is the production of a sequence of amino acids (a polypeptide) using that mRNA
Exam board specific info:
AQA - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
IGCSE Edexcel - Separate/triple science and higher tier only
Edexcel - Separate/triple science and higher tier only
OCR 21st Century - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
OCR Gateway - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
Maths Playlist:
https://www.youtube.com/playlist?list=PLidqqIGKox7XPh1QacLRiKto_UlnRIEVh
GCSE Chemistry playlist:
https://www.youtube.com/watch?v=fN8kH9Vvqo0&list=PLidqqIGKox7WeOKVGHxcd69kKqtwrKl8W
GCSE Biology Playlist:
https://www.youtube.com/watch?v=--dIBinUdeU&list=PLidqqIGKox7X5UFT-expKIuR-i-BN3Q1g
GCSE Physics Playlist:
https://www.youtube.com/watch?v=aHVJfRxeAxo&list=PLidqqIGKox7UVC-8WC9djoeBzwxPeXph7
https://wn.com/How_Are_Proteins_Made_Transcription_And_Translation_Explained_66
This video covers:
- The two steps of protein synthesis: transcription and translation
- Transcription is the production of mRNA, which is a copy of a gene
- Translation is the production of a sequence of amino acids (a polypeptide) using that mRNA
Exam board specific info:
AQA - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
IGCSE Edexcel - Separate/triple science and higher tier only
Edexcel - Separate/triple science and higher tier only
OCR 21st Century - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
OCR Gateway - Separate/triple science and higher tier only - You don't need to know the details, just the overall idea
Maths Playlist:
https://www.youtube.com/playlist?list=PLidqqIGKox7XPh1QacLRiKto_UlnRIEVh
GCSE Chemistry playlist:
https://www.youtube.com/watch?v=fN8kH9Vvqo0&list=PLidqqIGKox7WeOKVGHxcd69kKqtwrKl8W
GCSE Biology Playlist:
https://www.youtube.com/watch?v=--dIBinUdeU&list=PLidqqIGKox7X5UFT-expKIuR-i-BN3Q1g
GCSE Physics Playlist:
https://www.youtube.com/watch?v=aHVJfRxeAxo&list=PLidqqIGKox7UVC-8WC9djoeBzwxPeXph7
- published: 15 Mar 2020
- views: 1079544
1:33:02
Cell Biology | Translation: Protein Synthesis 🧬
Official Ninja Nerd Website: https://ninjanerd.org
Ninja Nerds!
In this lecture Professor Zach Murphy will be teaching you about Translation: Protein Synthesis...
Official Ninja Nerd Website: https://ninjanerd.org
Ninja Nerds!
In this lecture Professor Zach Murphy will be teaching you about Translation: Protein Synthesis. We hope you enjoy this lecture and be sure to support us below!
Join this channel to get access to perks:
https://www.youtube.com/channel/UC6QYFutt9cluQ3uSM963_KQ/join
APPAREL |
We are switching merchandise suppliers.
DONATE
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TWITTER | https://twitter.com/ninjanerdsci
@NinjaNerdSci
DISCORD | https://discord.gg/3srTG4dngW
#ninjanerd #Translation #CellBiology
https://wn.com/Cell_Biology_|_Translation_Protein_Synthesis_🧬
Official Ninja Nerd Website: https://ninjanerd.org
Ninja Nerds!
In this lecture Professor Zach Murphy will be teaching you about Translation: Protein Synthesis. We hope you enjoy this lecture and be sure to support us below!
Join this channel to get access to perks:
https://www.youtube.com/channel/UC6QYFutt9cluQ3uSM963_KQ/join
APPAREL |
We are switching merchandise suppliers.
DONATE
PATREON | https://www.patreon.com/NinjaNerdScience
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SOCIAL MEDIA
FACEBOOK | https://www.facebook.com/NinjaNerdlectures
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TWITTER | https://twitter.com/ninjanerdsci
@NinjaNerdSci
DISCORD | https://discord.gg/3srTG4dngW
#ninjanerd #Translation #CellBiology
- published: 06 Apr 2021
- views: 1205218
3:04
mRNA Translation (Advanced)
The job of the mRNA is to carry the gene's message from the DNA out of the nucleus to a ribosome for production of the particular protein that this gene codes f...
The job of the mRNA is to carry the gene's message from the DNA out of the nucleus to a ribosome for production of the particular protein that this gene codes for.
Originally created for DNA Interactive ( http://www.dnai.org ).
TRANSCRIPT: The job of this mRNA is to carry the genes message from the DNA out of the nuceus to a ribosome for production of the particular protein that this gene codes for. There can be several million ribosomes in a typical eukaryotic cell these complex catalytic machines use the mrna copy of the genetic information to assemble amino acid building blokes into the three dimensional proteins that are essential for life. Lets see how it works. The ribosome is composed of one large and one small sub-unit that assemble around the messenger RNA, which then passes through the ribosome like a computer tape. The amino acid building blocks (that's the small glowing red molecules) are carried into the ribosome attached to specific transfer RNAs. That's the larger green molecules also referred to as tRNA. The small sub-unit of the ribosome positions the mRNA so that it can be read in groups of three letters known as a codon. Each codon on the mRNA matches a corresponding anti-codon on the base of a transfer RNA molecule.The larger sub-unit of the ribosome removes each amino acid and join it onto the growing protein chain. As the mRNA is ratcheted through the ribosome, the mRNA sequence is translated into an amino acid sequence. There are three locations inside the ribosome, designated the A-site, the P-site and the E-site. The addition of each amino acid is a three step cycle: First, the tRNA enters the ribosome at the A-site and is tested for a codon/anti-codon match with the mRNA. Next, provided there is a correct match, the tRNA is shifted to the P-site and the amino acid it carries is added to the end of the amino acid chain. The mRNA is also ratcheted on three nucleotides or one codon. Thirdly, the spent tRNA is moved to the E-site and then ejected from the ribosome to be recycled. As the protein synthesis proceeds, the finished chain emerges from the ribosome. It folds up into a precise shape, determined by the exact order of amino acids. Thus the Central Dogma explains how the four letter DNA code is - quite literally - turned into flesh and blood.
https://wn.com/Mrna_Translation_(Advanced)
The job of the mRNA is to carry the gene's message from the DNA out of the nucleus to a ribosome for production of the particular protein that this gene codes for.
Originally created for DNA Interactive ( http://www.dnai.org ).
TRANSCRIPT: The job of this mRNA is to carry the genes message from the DNA out of the nuceus to a ribosome for production of the particular protein that this gene codes for. There can be several million ribosomes in a typical eukaryotic cell these complex catalytic machines use the mrna copy of the genetic information to assemble amino acid building blokes into the three dimensional proteins that are essential for life. Lets see how it works. The ribosome is composed of one large and one small sub-unit that assemble around the messenger RNA, which then passes through the ribosome like a computer tape. The amino acid building blocks (that's the small glowing red molecules) are carried into the ribosome attached to specific transfer RNAs. That's the larger green molecules also referred to as tRNA. The small sub-unit of the ribosome positions the mRNA so that it can be read in groups of three letters known as a codon. Each codon on the mRNA matches a corresponding anti-codon on the base of a transfer RNA molecule.The larger sub-unit of the ribosome removes each amino acid and join it onto the growing protein chain. As the mRNA is ratcheted through the ribosome, the mRNA sequence is translated into an amino acid sequence. There are three locations inside the ribosome, designated the A-site, the P-site and the E-site. The addition of each amino acid is a three step cycle: First, the tRNA enters the ribosome at the A-site and is tested for a codon/anti-codon match with the mRNA. Next, provided there is a correct match, the tRNA is shifted to the P-site and the amino acid it carries is added to the end of the amino acid chain. The mRNA is also ratcheted on three nucleotides or one codon. Thirdly, the spent tRNA is moved to the E-site and then ejected from the ribosome to be recycled. As the protein synthesis proceeds, the finished chain emerges from the ribosome. It folds up into a precise shape, determined by the exact order of amino acids. Thus the Central Dogma explains how the four letter DNA code is - quite literally - turned into flesh and blood.
- published: 22 Mar 2010
- views: 1324775
6:27
Transcription and Translation: From DNA to Protein
Ok, so everyone knows that DNA is the genetic code, but what does that mean? How can some little molecule be a code that makes a single cell develop into a gira...
Ok, so everyone knows that DNA is the genetic code, but what does that mean? How can some little molecule be a code that makes a single cell develop into a giraffe, or a monkey, or Tony Danza? Within this clip lie the answers, child! It's all about transcription and translation.
Watch the whole Biochemistry playlist: http://bit.ly/ProfDaveBiochem
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biology Tutorials: http://bit.ly/ProfDaveBio
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
Mathematics Tutorials: http://bit.ly/ProfDaveMaths
EMAILâ–ş
[email protected]
PATREONâ–ş http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
https://wn.com/Transcription_And_Translation_From_Dna_To_Protein
Ok, so everyone knows that DNA is the genetic code, but what does that mean? How can some little molecule be a code that makes a single cell develop into a giraffe, or a monkey, or Tony Danza? Within this clip lie the answers, child! It's all about transcription and translation.
Watch the whole Biochemistry playlist: http://bit.ly/ProfDaveBiochem
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biology Tutorials: http://bit.ly/ProfDaveBio
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
Mathematics Tutorials: http://bit.ly/ProfDaveMaths
EMAILâ–ş
[email protected]
PATREONâ–ş http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
- published: 09 Sep 2016
- views: 3913493
14:10
Translation (mRNA to protein) | Biomolecules | MCAT | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/science/ap-biology/gene-expression-and...
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/science/ap-biology/gene-expression-and-regulation/translation/v/translation-mrna-to-protein
A deep dive into how mRNA is translated into proteins with the help of ribosomes and tRNA.
Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/differences-in-translation-between-prokaryotes-and-eukaryotes?utm_source=YT&utm_medium=Desc&utm_campaign=mcat
Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/speed-and-precision-of-dna-replication?utm_source=YT&utm_medium=Desc&utm_campaign=mcat
MCAT on Khan Academy: Go ahead and practice some passage-based questions!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/Translation_(Mrna_To_Protein)_|_Biomolecules_|_Mcat_|_Khan_Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/science/ap-biology/gene-expression-and-regulation/translation/v/translation-mrna-to-protein
A deep dive into how mRNA is translated into proteins with the help of ribosomes and tRNA.
Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/differences-in-translation-between-prokaryotes-and-eukaryotes?utm_source=YT&utm_medium=Desc&utm_campaign=mcat
Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/speed-and-precision-of-dna-replication?utm_source=YT&utm_medium=Desc&utm_campaign=mcat
MCAT on Khan Academy: Go ahead and practice some passage-based questions!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 07 Jun 2016
- views: 1263359
10:39
DNA Translation Made Easy
Download Marrow Free : http://marrow.roundsapp.org/install
Cells need translation to stay alive, and understanding how it works (so we can shut it down with an...
Download Marrow Free : http://marrow.roundsapp.org/install
Cells need translation to stay alive, and understanding how it works (so we can shut it down with antibiotics) can save us from bacterial infections. Let's take a closer look at how translation happens, from the first step to the final product.
The genetic code
In an mRNA, the instructions for building a polypeptide come in groups of three nucleotides called codons. Here are some key features of codons to keep in mind as we move forward:
There are 616161 different codons for amino acids
Three “stop” codons mark the polypeptide as finished
One codon, AUG, is a “start” signal to kick off translation (it also specifies the amino acid methionine)
These relationships between mRNA codons and amino acids are known as the genetic code (which you can explore further in the genetic code article).
In translation, the codons of an mRNA are read in order (from the 5' end to the 3' end) by molecules called transfer RNAs, or tRNAs.
Each tRNA has an anticodon, a set of three nucleotides that binds to a matching mRNA codon through base pairing. The other end of the tRNA carries the amino acid that's specified by the codon.
Translation: Beginning, middle, and end
A book or movie has three basic parts: a beginning, middle, and end. Translation has pretty much the same three parts, but they have fancier names: initiation, elongation, and termination.
Initiation ("beginning"): in this stage, the ribosome gets together with the mRNA and the first tRNA so translation can begin.
Elongation ("middle"): in this stage, amino acids are brought to the ribosome by tRNAs and linked together to form a chain.
Termination ("end"): in the last stage, the finished polypeptide is released to go and do its job in the cell.
Our polypeptide now has all its amino acids—does that mean it's ready to to its job in the cell?
Not necessarily. Polypeptides often need some "edits." During and after translation, amino acids may be chemically altered or removed. The new polypeptide will also fold into a distinct 3D structure, and may join with other polypeptides to make a multi-part protein.
Many proteins are good at folding on their own, but some need helpers ("chaperones") to keep them from sticking together incorrectly during the complex process of folding.
Some proteins also contain special amino acid sequences that direct them to certain parts of the cell. These sequences, often found close to the N- or C-terminus, can be thought of as the protein’s “train ticket” to its final destination. For more about how this works, see the article on protein targeting.
https://wn.com/Dna_Translation_Made_Easy
Download Marrow Free : http://marrow.roundsapp.org/install
Cells need translation to stay alive, and understanding how it works (so we can shut it down with antibiotics) can save us from bacterial infections. Let's take a closer look at how translation happens, from the first step to the final product.
The genetic code
In an mRNA, the instructions for building a polypeptide come in groups of three nucleotides called codons. Here are some key features of codons to keep in mind as we move forward:
There are 616161 different codons for amino acids
Three “stop” codons mark the polypeptide as finished
One codon, AUG, is a “start” signal to kick off translation (it also specifies the amino acid methionine)
These relationships between mRNA codons and amino acids are known as the genetic code (which you can explore further in the genetic code article).
In translation, the codons of an mRNA are read in order (from the 5' end to the 3' end) by molecules called transfer RNAs, or tRNAs.
Each tRNA has an anticodon, a set of three nucleotides that binds to a matching mRNA codon through base pairing. The other end of the tRNA carries the amino acid that's specified by the codon.
Translation: Beginning, middle, and end
A book or movie has three basic parts: a beginning, middle, and end. Translation has pretty much the same three parts, but they have fancier names: initiation, elongation, and termination.
Initiation ("beginning"): in this stage, the ribosome gets together with the mRNA and the first tRNA so translation can begin.
Elongation ("middle"): in this stage, amino acids are brought to the ribosome by tRNAs and linked together to form a chain.
Termination ("end"): in the last stage, the finished polypeptide is released to go and do its job in the cell.
Our polypeptide now has all its amino acids—does that mean it's ready to to its job in the cell?
Not necessarily. Polypeptides often need some "edits." During and after translation, amino acids may be chemically altered or removed. The new polypeptide will also fold into a distinct 3D structure, and may join with other polypeptides to make a multi-part protein.
Many proteins are good at folding on their own, but some need helpers ("chaperones") to keep them from sticking together incorrectly during the complex process of folding.
Some proteins also contain special amino acid sequences that direct them to certain parts of the cell. These sequences, often found close to the N- or C-terminus, can be thought of as the protein’s “train ticket” to its final destination. For more about how this works, see the article on protein targeting.
- published: 15 May 2018
- views: 746866
2:12:53
MCGI Bible Study | English Translation | Tuesday, August 8, 2023 at 12 AM PHT
Spend a meaningful time listening and learning from God’s words.
Catch the MCGI Bible Study in all MCGI social media pages, happening at 12 a.m. PHT (12 p.m. E...
Spend a meaningful time listening and learning from God’s words.
Catch the MCGI Bible Study in all MCGI social media pages, happening at 12 a.m. PHT (12 p.m. EDT). Hosted by Brother Eli Soriano and Brother Daniel Razon.
Tune in via our official websites and social media accounts:
MCGI Channel »»
youtube.com/MCGIChannel
MCGI »» https://www.facebook.com/MCGI.org/live
To watch MCGI Bible Study in your preferred languages, please go to: https://www.mcgi.org/live.
* * * * * * *
For more information, please send us your message on our Facebook page: https://m.me/MCGI.org
You may also contact us through the following:
» Email:
[email protected]
» Viber: +63 943 254 5390
Local:
» Globe: +63 915 189 7007
» Smart: +63 918 438 8988
» Sun: +63 943 411 8001
#WhatTheBibleSays
https://wn.com/Mcgi_Bible_Study_|_English_Translation_|_Tuesday,_August_8,_2023_At_12_Am_Pht
Spend a meaningful time listening and learning from God’s words.
Catch the MCGI Bible Study in all MCGI social media pages, happening at 12 a.m. PHT (12 p.m. EDT). Hosted by Brother Eli Soriano and Brother Daniel Razon.
Tune in via our official websites and social media accounts:
MCGI Channel »»
youtube.com/MCGIChannel
MCGI »» https://www.facebook.com/MCGI.org/live
To watch MCGI Bible Study in your preferred languages, please go to: https://www.mcgi.org/live.
* * * * * * *
For more information, please send us your message on our Facebook page: https://m.me/MCGI.org
You may also contact us through the following:
» Email:
[email protected]
» Viber: +63 943 254 5390
Local:
» Globe: +63 915 189 7007
» Smart: +63 918 438 8988
» Sun: +63 943 411 8001
#WhatTheBibleSays
- published: 07 Aug 2023
- views: 328
8:53
Interpreter Breaks Down How Real-Time Translation Works | WIRED
Conference interpreter Barry Slaughter Olsen explains what it's really like to be a professional interpreter. Barry goes behind the scenes of his vocation, brea...
Conference interpreter Barry Slaughter Olsen explains what it's really like to be a professional interpreter. Barry goes behind the scenes of his vocation, breaking down the many real-life scenarios he faces on a day-to-day basis. From simultaneous and consecutive interpretation to chuchotage and décalage, take a peek behind what it really takes to be a professional interpreter.
Barry Slaughter Olsen is the Professor of Translation and Interpretation at Middlebury Institute of International Studies.
NOTE: The techniques employed in this video are not all applicable to interpreting in a courtroom setting, where expectations regarding accuracy and completeness can be quite different. In this sense, legal interpreting is unique. More information on standards for interpreting in the U.S. courts can be found here: https://www.uscourts.gov/sites/default/files/standards_for_performance.pdf
Footage of Muammar Gaddafi at the 64th General Assembly provided by the United Nations. (The views in the film are not those of the United Nations).
Conference Earpiece courtesy of Conference Rental.
Still haven’t subscribed to WIRED on YouTube? ►► http://wrd.cm/15fP7B7
Also, check out the free WIRED channel on Roku, Apple TV, Amazon Fire TV, and Android TV. Here you can find your favorite WIRED shows and new episodes of our latest hit series Tradecraft.
ABOUT WIRED
WIRED is where tomorrow is realized. Through thought-provoking stories and videos, WIRED explores the future of business, innovation, and culture.
Interpreter Breaks Down How Real-Time Translation Works | WIRED
https://wn.com/Interpreter_Breaks_Down_How_Real_Time_Translation_Works_|_Wired
Conference interpreter Barry Slaughter Olsen explains what it's really like to be a professional interpreter. Barry goes behind the scenes of his vocation, breaking down the many real-life scenarios he faces on a day-to-day basis. From simultaneous and consecutive interpretation to chuchotage and décalage, take a peek behind what it really takes to be a professional interpreter.
Barry Slaughter Olsen is the Professor of Translation and Interpretation at Middlebury Institute of International Studies.
NOTE: The techniques employed in this video are not all applicable to interpreting in a courtroom setting, where expectations regarding accuracy and completeness can be quite different. In this sense, legal interpreting is unique. More information on standards for interpreting in the U.S. courts can be found here: https://www.uscourts.gov/sites/default/files/standards_for_performance.pdf
Footage of Muammar Gaddafi at the 64th General Assembly provided by the United Nations. (The views in the film are not those of the United Nations).
Conference Earpiece courtesy of Conference Rental.
Still haven’t subscribed to WIRED on YouTube? ►► http://wrd.cm/15fP7B7
Also, check out the free WIRED channel on Roku, Apple TV, Amazon Fire TV, and Android TV. Here you can find your favorite WIRED shows and new episodes of our latest hit series Tradecraft.
ABOUT WIRED
WIRED is where tomorrow is realized. Through thought-provoking stories and videos, WIRED explores the future of business, innovation, and culture.
Interpreter Breaks Down How Real-Time Translation Works | WIRED
- published: 24 Jun 2019
- views: 7987991
-
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to continue your study of abstract algebra be learning about rings, fields, modules and vector spaces.
Our sincere thanks go out to our VIP Patron, Matt Peters. Matt supported us on Patreon, and thanks to his generous donation, we were able to make this video. Thank you for helping make this video happen, Matt!
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/...
published: 06 Nov 2017
-
Group theory, abstraction, and the 196,883-dimensional monster
An introduction to group theory (Minor error corrections below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: https://3b1b.co/monster-thanks
Timestamps:
0:00 - The size of the monster
0:50 - What is a group?
7:06 - What is an abstract group?
13:27 - Classifying groups
18:31 - About the monster
Errors:
*Typo on the "hard problem" at 14:11, it should be a/(b+c) + b/(a+c) + c/(a+b) = 4
*Typo-turned-speako: The classification of quasithin groups is 1221 pages long, not 12,000. The full collection of papers proving the CFSG theorem do comprise tens of thousands of pages, but no one paper was quite that crazy.
Thanks to Richard Borcherds for his helpful comments ...
published: 19 Aug 2020
-
Group and Abelian Group
Network Security: Group and Abelian Group
Topics discussed:
1) The definition of group and abelian group.
2) Properties to be satisfied for the set of elements to be a group and abelian group.
3) Explanation on closure, associative, identity, inverse, and commutative properties.
4) Solved problem of determining (Z, +) a group and abelian group.
5) Various mathematical notations for a set of numbers in number theory.
Follow Neso Academy on Instagram: @nesoacademy (https://bit.ly/2XP63OE)
Contribute: https://www.nesoacademy.org/donate
Memberships: https://bit.ly/2U7YSPI
Books: https://www.nesoacademy.org/recommended-books
Website â–ş https://www.nesoacademy.org/
Forum â–ş https://forum.nesoacademy.org/
Facebook â–ş https://goo.gl/Nt0PmB
Twitter â–ş https://twitter.com/nesoacademy
Music...
published: 15 Dec 2021
-
Abstract Algebra: The definition of a Group
Learn the definition of a group - one of the most fundamental ideas from abstract algebra.
If you found this video helpful, please give it a "thumbs up" and share it with your friends!
To see more videos on Abstract Algebra, please watch our playlist:
https://www.youtube.com/watch?v=QudbrUcVPxk&list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
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Ways to support our channel:
â–ş Join our Patreon : https://www.patreon.com/socratica
â–ş Make a one-time PayPal donation: https://www.paypal.me/socratica
â–ş We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank​ ​you!!
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Mil...
published: 02 Sep 2013
-
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups.
In a fundamental way, groups are structures built from symmetries. We'll see this in action in the lesson, taking a look at the "Dihedral Group" of order 8, which is a group built from symmetries of a square.
More specifically, a group is a set G, together with a binary operation *, satisfying the four group axioms, which are as follows:
1. [CLOSURE] For all x, y in G, x*y is in G as well. This means G is closed under the operation *. (For example, the addition of any two integers is also an integer)
2. [ASSOCIATIVITY] For all x, y, and z in G, (x*y)*z = x*...
published: 15 Jun 2020
-
What is a group?
A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/mH0oCDa74tE
That video introduces group theory and the monster group.
Editing from long-form to short by Dawid Kołodziej
published: 27 Dec 2023
-
Grouping Equally
Matholia educational maths video on grouping equally
#matholia #singaporemath #groupingequally #grouping #equally
https://matholia.com
New videos added daily! Subscribe here:
https://www.youtube.com/channel/UCOEucczy2ReGCf7rwAgaOkw?sub_confirmation=1
For more maths videos for kids and loads of interactive content, visit www.matholia.com.
This video lesson is taken from Matholia.com – a world-class online learning resource for K-6 mathematics. Our international curriculum covers a comprehensive range of topics and concepts using the Singapore's teaching approach. Concepts are presented through Concrete, Pictorial, Abstract (CPA) approach. Resources available include dynamic practice, instructional videos, ebooks, interactive tools and progress tracking and recording – all adopting the Sin...
published: 28 May 2013
-
Groups - Showing G is a group - Part 1
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Groups - Showing G is a group - Part 1
For more free math videos, visit http://JustMathTutoring.com
published: 25 Oct 2008
-
Group theory Bsc mathematics | centre of group, Normaliser, subgroup, cosets , index of subgroup...
Group theory Bsc mathematics
|centre of group,
Normaliser,
subgroup,
cosets ,
index of group
Order of elements
Order of group
Properties of group
Standard results of group theory
group theory mathematics,
group theory mathematics bsc 2nd year,
group theory mathematics playlist,
group theory mathematics important questions,
group theory mathematics for iit jam,
group theory mathematics lecture,
group theory mathematics bsc 2nd year important questions,
group theory mathematics csir net,
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group theory mathematics in modern world,
group theory and mathematics,
set theory math antics,
set theory applied mathematics,
set theory and mathematical logic,
group theory bsc math aligarh,
set theory and mathematical ind...
published: 28 Nov 2024
-
The Map of Mathematics
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics
French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: ht...
published: 01 Feb 2017
11:15
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of...
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to continue your study of abstract algebra be learning about rings, fields, modules and vector spaces.
Our sincere thanks go out to our VIP Patron, Matt Peters. Matt supported us on Patreon, and thanks to his generous donation, we were able to make this video. Thank you for helping make this video happen, Matt!
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
We recommend the following textbooks:
Dummit & Foote,
Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
â–ş Join our Patreon : https://www.patreon.com/socratica
â–ş Make a one-time PayPal donation: https://www.paypal.me/socratica
â–ş We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
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Connect with us!
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Instagram: https://www.instagram.com/SocraticaStudios/
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Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
♦♦♦♦♦♦♦♦♦♦
https://wn.com/Group_Definition_(Expanded)_Abstract_Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to continue your study of abstract algebra be learning about rings, fields, modules and vector spaces.
Our sincere thanks go out to our VIP Patron, Matt Peters. Matt supported us on Patreon, and thanks to his generous donation, we were able to make this video. Thank you for helping make this video happen, Matt!
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
We recommend the following textbooks:
Dummit & Foote,
Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
â–ş Join our Patreon : https://www.patreon.com/socratica
â–ş Make a one-time PayPal donation: https://www.paypal.me/socratica
â–ş We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
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Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
Twitter: https://twitter.com/Socratica
♦♦♦♦♦♦♦♦♦♦
Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
♦♦♦♦♦♦♦♦♦♦
- published: 06 Nov 2017
- views: 896656
21:58
Group theory, abstraction, and the 196,883-dimensional monster
An introduction to group theory (Minor error corrections below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of suppo...
An introduction to group theory (Minor error corrections below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: https://3b1b.co/monster-thanks
Timestamps:
0:00 - The size of the monster
0:50 - What is a group?
7:06 - What is an abstract group?
13:27 - Classifying groups
18:31 - About the monster
Errors:
*Typo on the "hard problem" at 14:11, it should be a/(b+c) + b/(a+c) + c/(a+b) = 4
*Typo-turned-speako: The classification of quasithin groups is 1221 pages long, not 12,000. The full collection of papers proving the CFSG theorem do comprise tens of thousands of pages, but no one paper was quite that crazy.
Thanks to Richard Borcherds for his helpful comments while putting this video together. He has a wonderful hidden gem of a channel: https://youtu.be/a9k_QmZbwX8
You may also enjoy this brief article giving an overview of this monster:
http://www.ams.org/notices/200209/what-is.pdf
If you want to learn more about group theory, check out the expository papers here:
https://kconrad.math.uconn.edu/blurbs/
Videos with John Conway talking about the Monster:
https://youtu.be/jsSeoGpiWsw
https://youtu.be/lbN8EMcOH5o
More on Noether's Theorem:
https://youtu.be/CxlHLqJ9I0A
https://youtu.be/04ERSb06dOg
The symmetry ambigram was designed by Punya Mishra:
https://punyamishra.com/2013/05/31/symmetry-new-ambigram/
The Monster image comes from the Noun Project, via Nicky Knicky
This video is part of the #MegaFavNumbers project: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
To join the gang, upload your own video on your own favorite number over 1,000,000 with the hashtag #MegaFavNumbers, and the word MegaFavNumbers in the title by September 2nd, 2020, and it'll be added to the playlist above.
Thanks to these viewers for their contributions to translations
German: dlatikaynen
Hebrew: Omer Tuchfeld
Italian: mulstato
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
https://wn.com/Group_Theory,_Abstraction,_And_The_196,883_Dimensional_Monster
An introduction to group theory (Minor error corrections below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: https://3b1b.co/monster-thanks
Timestamps:
0:00 - The size of the monster
0:50 - What is a group?
7:06 - What is an abstract group?
13:27 - Classifying groups
18:31 - About the monster
Errors:
*Typo on the "hard problem" at 14:11, it should be a/(b+c) + b/(a+c) + c/(a+b) = 4
*Typo-turned-speako: The classification of quasithin groups is 1221 pages long, not 12,000. The full collection of papers proving the CFSG theorem do comprise tens of thousands of pages, but no one paper was quite that crazy.
Thanks to Richard Borcherds for his helpful comments while putting this video together. He has a wonderful hidden gem of a channel: https://youtu.be/a9k_QmZbwX8
You may also enjoy this brief article giving an overview of this monster:
http://www.ams.org/notices/200209/what-is.pdf
If you want to learn more about group theory, check out the expository papers here:
https://kconrad.math.uconn.edu/blurbs/
Videos with John Conway talking about the Monster:
https://youtu.be/jsSeoGpiWsw
https://youtu.be/lbN8EMcOH5o
More on Noether's Theorem:
https://youtu.be/CxlHLqJ9I0A
https://youtu.be/04ERSb06dOg
The symmetry ambigram was designed by Punya Mishra:
https://punyamishra.com/2013/05/31/symmetry-new-ambigram/
The Monster image comes from the Noun Project, via Nicky Knicky
This video is part of the #MegaFavNumbers project: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
To join the gang, upload your own video on your own favorite number over 1,000,000 with the hashtag #MegaFavNumbers, and the word MegaFavNumbers in the title by September 2nd, 2020, and it'll be added to the playlist above.
Thanks to these viewers for their contributions to translations
German: dlatikaynen
Hebrew: Omer Tuchfeld
Italian: mulstato
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
- published: 19 Aug 2020
- views: 3164467
10:44
Group and Abelian Group
Network Security: Group and Abelian Group
Topics discussed:
1) The definition of group and abelian group.
2) Properties to be satisfied for the set of elements ...
Network Security: Group and Abelian Group
Topics discussed:
1) The definition of group and abelian group.
2) Properties to be satisfied for the set of elements to be a group and abelian group.
3) Explanation on closure, associative, identity, inverse, and commutative properties.
4) Solved problem of determining (Z, +) a group and abelian group.
5) Various mathematical notations for a set of numbers in number theory.
Follow Neso Academy on Instagram: @nesoacademy (https://bit.ly/2XP63OE)
Contribute: https://www.nesoacademy.org/donate
Memberships: https://bit.ly/2U7YSPI
Books: https://www.nesoacademy.org/recommended-books
Website â–ş https://www.nesoacademy.org/
Forum â–ş https://forum.nesoacademy.org/
Facebook â–ş https://goo.gl/Nt0PmB
Twitter â–ş https://twitter.com/nesoacademy
Music:
Axol x Alex Skrindo - You [NCS Release]
#NetworkSecurityByNeso #Cryptography #NetworkSecurity #Group #AbelianGroup
https://wn.com/Group_And_Abelian_Group
Network Security: Group and Abelian Group
Topics discussed:
1) The definition of group and abelian group.
2) Properties to be satisfied for the set of elements to be a group and abelian group.
3) Explanation on closure, associative, identity, inverse, and commutative properties.
4) Solved problem of determining (Z, +) a group and abelian group.
5) Various mathematical notations for a set of numbers in number theory.
Follow Neso Academy on Instagram: @nesoacademy (https://bit.ly/2XP63OE)
Contribute: https://www.nesoacademy.org/donate
Memberships: https://bit.ly/2U7YSPI
Books: https://www.nesoacademy.org/recommended-books
Website â–ş https://www.nesoacademy.org/
Forum â–ş https://forum.nesoacademy.org/
Facebook â–ş https://goo.gl/Nt0PmB
Twitter â–ş https://twitter.com/nesoacademy
Music:
Axol x Alex Skrindo - You [NCS Release]
#NetworkSecurityByNeso #Cryptography #NetworkSecurity #Group #AbelianGroup
- published: 15 Dec 2021
- views: 208774
3:11
Abstract Algebra: The definition of a Group
Learn the definition of a group - one of the most fundamental ideas from abstract algebra.
If you found this video helpful, please give it a "thumbs up" and sh...
Learn the definition of a group - one of the most fundamental ideas from abstract algebra.
If you found this video helpful, please give it a "thumbs up" and share it with your friends!
To see more videos on
Abstract Algebra, please watch our playlist:
https://www.youtube.com/watch?v=QudbrUcVPxk&list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
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Ways to support our channel:
â–ş Join our Patreon : https://www.patreon.com/socratica
â–ş Make a one-time PayPal donation: https://www.paypal.me/socratica
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Thank​ ​you!!
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
♦♦♦♦♦♦♦♦♦♦
Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
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Connect with us!
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https://wn.com/Abstract_Algebra_The_Definition_Of_A_Group
Learn the definition of a group - one of the most fundamental ideas from abstract algebra.
If you found this video helpful, please give it a "thumbs up" and share it with your friends!
To see more videos on
Abstract Algebra, please watch our playlist:
https://www.youtube.com/watch?v=QudbrUcVPxk&list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
â–ş Join our Patreon : https://www.patreon.com/socratica
â–ş Make a one-time PayPal donation: https://www.paypal.me/socratica
â–ş We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank​ ​you!!
♦♦♦♦♦♦♦♦♦♦
We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
♦♦♦♦♦♦♦♦♦♦
Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
♦♦♦♦♦♦♦♦♦♦
Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
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- published: 02 Sep 2013
- views: 448954
19:46
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some...
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups.
In a fundamental way, groups are structures built from symmetries. We'll see this in action in the lesson, taking a look at the "Dihedral Group" of order 8, which is a group built from symmetries of a square.
More specifically, a group is a set G, together with a binary operation *, satisfying the four group axioms, which are as follows:
1. [CLOSURE] For all x, y in G, x*y is in G as well. This means G is closed under the operation *. (For example, the addition of any two integers is also an integer)
2. [ASSOCIATIVITY] For all x, y, and z in G, (x*y)*z = x*(y*z). This means G is associative under the operation *. (For example, the integers are associative under addition)
3. [IDENTITY] There exists an element e in G, such that for all x in G, e*x = x*e = x. In other words, combining any element with e in any order leaves the element unchanged. This element e is called the identity of the group because it preserves the identity of any element in combines with. (For example, the identity of the integers under addition is 0)
4. [INVERSES] For every a in G, there exists b in G such that a*b = b*a = e, in which case b is called the inverse of a, and a is the inverse of b. Notice that every element must have an inverse. (For example, the inverse of any integer under addition is its negative, like the inverse of 3 is -3 because 3 + -3 = 0)
Lesson on binary operations: https://www.youtube.com/watch?v=VzsAehzmjrU
*Note that some definitions of binary operation, including the one in my lesson, include that the operation must be closed. Under this definition, it is technically redundant to say a group must also be closed - since the group is surely closed by definition of binary operation. However, closure is typically listed as a group axiom regardless and is convenient to consider as a necessary feature of the group, rather than a semantic requirement for an operation to be called "binary".
If you need it, here is an introduction to set theory, and I have numerous other set theory lessons as well: https://www.youtube.com/watch?v=U4wui1mtotg
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
â—† Support Wrath of Math on Patreon: https://www.patreon.com/wrathofmathlessons
Follow Wrath of Math on...
â—Ź Instagram: https://www.instagram.com/wrathofmathedu
â—Ź Facebook: https://www.facebook.com/WrathofMath
â—Ź Twitter: https://twitter.com/wrathofmathedu
My Music Channel: http://www.youtube.com/seanemusic
https://wn.com/What_Is_A_Group_|_Abstract_Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups.
In a fundamental way, groups are structures built from symmetries. We'll see this in action in the lesson, taking a look at the "Dihedral Group" of order 8, which is a group built from symmetries of a square.
More specifically, a group is a set G, together with a binary operation *, satisfying the four group axioms, which are as follows:
1. [CLOSURE] For all x, y in G, x*y is in G as well. This means G is closed under the operation *. (For example, the addition of any two integers is also an integer)
2. [ASSOCIATIVITY] For all x, y, and z in G, (x*y)*z = x*(y*z). This means G is associative under the operation *. (For example, the integers are associative under addition)
3. [IDENTITY] There exists an element e in G, such that for all x in G, e*x = x*e = x. In other words, combining any element with e in any order leaves the element unchanged. This element e is called the identity of the group because it preserves the identity of any element in combines with. (For example, the identity of the integers under addition is 0)
4. [INVERSES] For every a in G, there exists b in G such that a*b = b*a = e, in which case b is called the inverse of a, and a is the inverse of b. Notice that every element must have an inverse. (For example, the inverse of any integer under addition is its negative, like the inverse of 3 is -3 because 3 + -3 = 0)
Lesson on binary operations: https://www.youtube.com/watch?v=VzsAehzmjrU
*Note that some definitions of binary operation, including the one in my lesson, include that the operation must be closed. Under this definition, it is technically redundant to say a group must also be closed - since the group is surely closed by definition of binary operation. However, closure is typically listed as a group axiom regardless and is convenient to consider as a necessary feature of the group, rather than a semantic requirement for an operation to be called "binary".
If you need it, here is an introduction to set theory, and I have numerous other set theory lessons as well: https://www.youtube.com/watch?v=U4wui1mtotg
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
â—† Support Wrath of Math on Patreon: https://www.patreon.com/wrathofmathlessons
Follow Wrath of Math on...
â—Ź Instagram: https://www.instagram.com/wrathofmathedu
â—Ź Facebook: https://www.facebook.com/WrathofMath
â—Ź Twitter: https://twitter.com/wrathofmathedu
My Music Channel: http://www.youtube.com/seanemusic
- published: 15 Jun 2020
- views: 15666
1:00
What is a group?
A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/mH0oCDa74tE
That video introduces group theory and the monster gro...
A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/mH0oCDa74tE
That video introduces group theory and the monster group.
Editing from long-form to short by Dawid Kołodziej
https://wn.com/What_Is_A_Group
A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/mH0oCDa74tE
That video introduces group theory and the monster group.
Editing from long-form to short by Dawid Kołodziej
- published: 27 Dec 2023
- views: 126741
3:14
Grouping Equally
Matholia educational maths video on grouping equally
#matholia #singaporemath #groupingequally #grouping #equally
https://matholia.com
New videos added daily! S...
Matholia educational maths video on grouping equally
#matholia #singaporemath #groupingequally #grouping #equally
https://matholia.com
New videos added daily! Subscribe here:
https://www.youtube.com/channel/UCOEucczy2ReGCf7rwAgaOkw?sub_confirmation=1
For more maths videos for kids and loads of interactive content, visit www.matholia.com.
This video lesson is taken from Matholia.com – a world-class online learning resource for K-6 mathematics. Our international curriculum covers a comprehensive range of topics and concepts using the Singapore's teaching approach. Concepts are presented through Concrete, Pictorial, Abstract (CPA) approach. Resources available include dynamic practice, instructional videos, ebooks, interactive tools and progress tracking and recording – all adopting the Singapore pedagogy.
https://matholia.com
https://twitter.com/MatholiaMath
https://www.pinterest.com/matholiamath/boards/
https://www.facebook.com/matholia.sg/
http://matholia.blogspot.com
https://www.reddit.com/user/matholia
https://www.instagram.com/matholia_math/
https://wn.com/Grouping_Equally
Matholia educational maths video on grouping equally
#matholia #singaporemath #groupingequally #grouping #equally
https://matholia.com
New videos added daily! Subscribe here:
https://www.youtube.com/channel/UCOEucczy2ReGCf7rwAgaOkw?sub_confirmation=1
For more maths videos for kids and loads of interactive content, visit www.matholia.com.
This video lesson is taken from Matholia.com – a world-class online learning resource for K-6 mathematics. Our international curriculum covers a comprehensive range of topics and concepts using the Singapore's teaching approach. Concepts are presented through Concrete, Pictorial, Abstract (CPA) approach. Resources available include dynamic practice, instructional videos, ebooks, interactive tools and progress tracking and recording – all adopting the Singapore pedagogy.
https://matholia.com
https://twitter.com/MatholiaMath
https://www.pinterest.com/matholiamath/boards/
https://www.facebook.com/matholia.sg/
http://matholia.blogspot.com
https://www.reddit.com/user/matholia
https://www.instagram.com/matholia_math/
- published: 28 May 2013
- views: 128280
5:35
Groups - Showing G is a group - Part 1
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Groups - Showing G is a group...
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Groups - Showing G is a group - Part 1
For more free math videos, visit http://JustMathTutoring.com
https://wn.com/Groups_Showing_G_Is_A_Group_Part_1
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Groups - Showing G is a group - Part 1
For more free math videos, visit http://JustMathTutoring.com
- published: 25 Oct 2008
- views: 137333
42:42
Group theory Bsc mathematics | centre of group, Normaliser, subgroup, cosets , index of subgroup...
Group theory Bsc mathematics
|centre of group,
Normaliser,
subgroup,
cosets ,
index of group
Order of elements
Order of group
Properties of group
Standa...
Group theory Bsc mathematics
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https://wn.com/Group_Theory_Bsc_Mathematics_|_Centre_Of_Group,_Normaliser,_Subgroup,_Cosets_,_Index_Of_Subgroup...
Group theory Bsc mathematics
|centre of group,
Normaliser,
subgroup,
cosets ,
index of group
Order of elements
Order of group
Properties of group
Standard results of group theory
group theory mathematics,
group theory mathematics bsc 2nd year,
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- published: 28 Nov 2024
- views: 111
11:06
The Map of Mathematics
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topi...
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics
French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/
To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!
1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).
2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.
3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.
4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc
5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.
Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html
First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof
Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.
Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/
Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/
Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/
Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/
Find me on twitter, instagram, and my website:
http://dominicwalliman.com
https://twitter.com/DominicWalliman
https://www.instagram.com/dominicwalliman
https://www.facebook.com/dominicwalliman
https://wn.com/The_Map_Of_Mathematics
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics
French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/
To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!
1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).
2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.
3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.
4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc
5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.
Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html
First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof
Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.
Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/
Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/
Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/
Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/
Find me on twitter, instagram, and my website:
http://dominicwalliman.com
https://twitter.com/DominicWalliman
https://www.instagram.com/dominicwalliman
https://www.facebook.com/dominicwalliman
- published: 01 Feb 2017
- views: 14209561