In mathematics and computer science, the floor and ceilingfunctions map a real number to the largest previous or the smallest following integer, respectively. More precisely, floor(x) = is the largest integer not greater than x and ceiling(x) = is the smallest integer not less than x.
Notation
Carl Friedrich Gauss introduced the square bracket notation for the floor function in his third proof of quadratic reciprocity (1808).
This remained the standard in mathematics until Kenneth E. Iverson introduced the names "floor" and "ceiling" and the corresponding notations and in his 1962 book A Programming Language. Both notations are now used in mathematics; this article follows Iverson.
The floor function is also called the greatest integer or entier (French for "integer") function, and its value at x is called the integral part or integer part of x; for negative values of x the latter terms are sometimes instead taken to be the value of the ceiling function, i.e., the value of x rounded to an integer towards 0. The language APL uses ⌊x; other computer languages commonly use notations like entier(x) (ALGOL), INT(x) (BASIC), or floor(x)(C, C++, R, and Python). In mathematics, it can also be written with boldface or double brackets .
This calculus video tutorial explains how to graph the greatest integer function and how to evaluate limits using it. This is for high school and college students studying limits and continuity.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Li...
published: 03 Jun 2017
[Discrete Mathematics] Floor and Ceiling Examples
We introduce the floor and ceiling functions, then do a proof with them.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2
*--Recommended Textbooks--*
Discrete and Combinatorial Mathematics (Grimaldi): https://amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): https://amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): https://amzn.to/3lUgrMI
Book of Proof (Hammack): https://amzn.to/35eEbVg
Like us on Facebook: http://on.fb.me/1vWwDRc
Submit your questions on Reddit: http://bit.ly/1GwZZrP
...
published: 24 May 2016
Floor and Ceiling Functions
published: 16 May 2020
Integral of floor function
In this video , I showed how to integrate a floor function
published: 14 Feb 2024
Floor equation
In this video , I showed how solve a simple floor equation
published: 16 Feb 2024
integral of floor of x from 0 to 4 (greatest integer function)
Here we will integrate floor(x) from 0 to 4. The floor function is also called the greatest integer function.
💪 Join our channel membership to unlock special perks,: https://bit.ly/34PGH4h
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Equipment:
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👉 The whiteboard: https://amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integrals-on-wall
---------------------------------------------------------------------------------------------------
published: 23 Nov 2018
Integral Battle! With Floor Functions
Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium subscription!
Integral battle between integral of (floor(x))^2 vs. integral of floor(x^2)
Check out the sum of first n squares: https://youtu.be/OpA7oNmHobM
Sum of first sqrt(n): https://math.stackexchange.com/questions/422559/what-is-sum-limits-i-1n-sqrt-i
Please subscribe for more math content!
Check out my T-shirts & Hoodies: https://teespring.com/stores/blackpenredpen
Patreon https://www.patreon.com/blackpenredpen
I create my site www.blackpenred.com on Wix, give it a try: http://wixstats.com/?a=25754&c=124&s1=
Check out my site & social media
😃 https://blackpenredpen.com
😃 https://twitter.com/blackpenredpen
😃 https://www....
published: 15 Jan 2019
A ceiling and floor equation
In this video , I showed how to solve a simple ceiling and floor equation
published: 15 Feb 2024
The Natlan 5.0 Abyss Is Easy But Fun (Floor 12 Genshin Impact w/ Navia Mualani)
0:00 - Starting Talk
2:10 - Chamber 1
4:22 - Chamber 2
6:53 - Chamber 3
9:33 - Thoughts + Strats
Thumbnail Mualani Art: https://chaoticentropy.tumblr.com/post/760250298595999744
Thumbnail Navia Art: https://www.zerochan.net/4058860
Beating the new abyss, using Mualani for the first time even though I dont have a full obsidian set. Shows how easy that is. 2nd side obviously destroyed due to c2 navia I've invested alot into her and her team!
published: 16 Sep 2024
Expressing the Floor Function as a Superposition of Unit Step Functions!
Help me create more free content! =)
https://www.patreon.com/mathable
Merch :v - https://teespring.com/de/stores/papaflammy
https://shop.spreadshirt.de/papaflammy
2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg
The title says it all I guess lol Let's trun the Floor Function for positive reals which rounds down to the nearest Integer into a series using some clever summation!
Enjoy =)
My Website: https://www.papaflammy.engineer/
Flammy's subreddit: https://www.reddit.com/r/FlammyBois
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Facebook: https://www.facebook.com/flammablemaths/
Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2
This calculus video tutorial explains how to graph the greatest integer function and how to evaluate limits using it. This is for high school and college stude...
This calculus video tutorial explains how to graph the greatest integer function and how to evaluate limits using it. This is for high school and college students studying limits and continuity.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o
Infinite Limits + Vertical Asymptotes:
https://www.youtube.com/watch?v=xvFqomOpLrs
Limits at Infinity With Radicals:
https://www.youtube.com/watch?v=1hyoTeWg6Bs
Limits of Absolute Value Functions:
https://www.youtube.com/watch?v=wFeh4ByT0xs
Limits of Composite Functions:
https://www.youtube.com/watch?v=KjL9cWHzeIc
The Squeeze Theorem:
https://www.youtube.com/watch?v=lVIb9iJ-rRI
____________________________________
Limits and Logarithms:
https://www.youtube.com/watch?v=fHzmQmcvheI
Limits of Exponential Functions:
https://www.youtube.com/watch?v=pcUXo7XbRaM
Piecewise Functions - Limits:
https://www.youtube.com/watch?v=JrYmEo6hoiU
3 Step Continuity Test:
https://www.youtube.com/watch?v=WT7oxiiFYt8
Continuity and Differentiability:
https://www.youtube.com/watch?v=fml0-ELYLaE
Limits - Test Review:
https://www.youtube.com/watch?v=6e4Wtgc43KQ
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Limits - Free Formula Sheet:
https://bit.ly/3T3dD2X
This calculus video tutorial explains how to graph the greatest integer function and how to evaluate limits using it. This is for high school and college students studying limits and continuity.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o
Infinite Limits + Vertical Asymptotes:
https://www.youtube.com/watch?v=xvFqomOpLrs
Limits at Infinity With Radicals:
https://www.youtube.com/watch?v=1hyoTeWg6Bs
Limits of Absolute Value Functions:
https://www.youtube.com/watch?v=wFeh4ByT0xs
Limits of Composite Functions:
https://www.youtube.com/watch?v=KjL9cWHzeIc
The Squeeze Theorem:
https://www.youtube.com/watch?v=lVIb9iJ-rRI
____________________________________
Limits and Logarithms:
https://www.youtube.com/watch?v=fHzmQmcvheI
Limits of Exponential Functions:
https://www.youtube.com/watch?v=pcUXo7XbRaM
Piecewise Functions - Limits:
https://www.youtube.com/watch?v=JrYmEo6hoiU
3 Step Continuity Test:
https://www.youtube.com/watch?v=WT7oxiiFYt8
Continuity and Differentiability:
https://www.youtube.com/watch?v=fml0-ELYLaE
Limits - Test Review:
https://www.youtube.com/watch?v=6e4Wtgc43KQ
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Limits - Free Formula Sheet:
https://bit.ly/3T3dD2X
We introduce the floor and ceiling functions, then do a proof with them.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subsc...
We introduce the floor and ceiling functions, then do a proof with them.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2
*--Recommended Textbooks--*
Discrete and Combinatorial Mathematics (Grimaldi): https://amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): https://amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): https://amzn.to/3lUgrMI
Book of Proof (Hammack): https://amzn.to/35eEbVg
Like us on Facebook: http://on.fb.me/1vWwDRc
Submit your questions on Reddit: http://bit.ly/1GwZZrP
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
We introduce the floor and ceiling functions, then do a proof with them.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2
*--Recommended Textbooks--*
Discrete and Combinatorial Mathematics (Grimaldi): https://amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): https://amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): https://amzn.to/3lUgrMI
Book of Proof (Hammack): https://amzn.to/35eEbVg
Like us on Facebook: http://on.fb.me/1vWwDRc
Submit your questions on Reddit: http://bit.ly/1GwZZrP
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Here we will integrate floor(x) from 0 to 4. The floor function is also called the greatest integer function.
💪 Join our channel membership to unlock special ...
Here we will integrate floor(x) from 0 to 4. The floor function is also called the greatest integer function.
💪 Join our channel membership to unlock special perks,: https://bit.ly/34PGH4h
🏬 Shop math t-shirt & hoodies: https://teespring.com/stores/blackpenredpen
10% off with the code "TEESPRINGWELCOME10"
Equipment:
👉 Expo Markers (black, red, blue): https://amzn.to/2T3ijqW
👉 The whiteboard: https://amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integrals-on-wall
---------------------------------------------------------------------------------------------------
Here we will integrate floor(x) from 0 to 4. The floor function is also called the greatest integer function.
💪 Join our channel membership to unlock special perks,: https://bit.ly/34PGH4h
🏬 Shop math t-shirt & hoodies: https://teespring.com/stores/blackpenredpen
10% off with the code "TEESPRINGWELCOME10"
Equipment:
👉 Expo Markers (black, red, blue): https://amzn.to/2T3ijqW
👉 The whiteboard: https://amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integrals-on-wall
---------------------------------------------------------------------------------------------------
Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium su...
Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium subscription!
Integral battle between integral of (floor(x))^2 vs. integral of floor(x^2)
Check out the sum of first n squares: https://youtu.be/OpA7oNmHobM
Sum of first sqrt(n): https://math.stackexchange.com/questions/422559/what-is-sum-limits-i-1n-sqrt-i
Please subscribe for more math content!
Check out my T-shirts & Hoodies: https://teespring.com/stores/blackpenredpen
Patreon https://www.patreon.com/blackpenredpen
I create my site www.blackpenred.com on Wix, give it a try: http://wixstats.com/?a=25754&c=124&s1=
Check out my site & social media
😃 https://blackpenredpen.com
😃 https://twitter.com/blackpenredpen
😃 https://www.instagram.com/blackpenredpen/
Thank you for your support!
blackpenredpen | 曹老師
Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium subscription!
Integral battle between integral of (floor(x))^2 vs. integral of floor(x^2)
Check out the sum of first n squares: https://youtu.be/OpA7oNmHobM
Sum of first sqrt(n): https://math.stackexchange.com/questions/422559/what-is-sum-limits-i-1n-sqrt-i
Please subscribe for more math content!
Check out my T-shirts & Hoodies: https://teespring.com/stores/blackpenredpen
Patreon https://www.patreon.com/blackpenredpen
I create my site www.blackpenred.com on Wix, give it a try: http://wixstats.com/?a=25754&c=124&s1=
Check out my site & social media
😃 https://blackpenredpen.com
😃 https://twitter.com/blackpenredpen
😃 https://www.instagram.com/blackpenredpen/
Thank you for your support!
blackpenredpen | 曹老師
0:00 - Starting Talk
2:10 - Chamber 1
4:22 - Chamber 2
6:53 - Chamber 3
9:33 - Thoughts + Strats
Thumbnail Mualani Art: https://chaoticentropy.tumblr.com/post/760250298595999744
Thumbnail Navia Art: https://www.zerochan.net/4058860
Beating the new abyss, using Mualani for the first time even though I dont have a full obsidian set. Shows how easy that is. 2nd side obviously destroyed due to c2 navia I've invested alot into her and her team!
0:00 - Starting Talk
2:10 - Chamber 1
4:22 - Chamber 2
6:53 - Chamber 3
9:33 - Thoughts + Strats
Thumbnail Mualani Art: https://chaoticentropy.tumblr.com/post/760250298595999744
Thumbnail Navia Art: https://www.zerochan.net/4058860
Beating the new abyss, using Mualani for the first time even though I dont have a full obsidian set. Shows how easy that is. 2nd side obviously destroyed due to c2 navia I've invested alot into her and her team!
Help me create more free content! =)
https://www.patreon.com/mathable
Merch :v - https://teespring.com/de/stores/papaflammy
https://shop.spre...
Help me create more free content! =)
https://www.patreon.com/mathable
Merch :v - https://teespring.com/de/stores/papaflammy
https://shop.spreadshirt.de/papaflammy
2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg
The title says it all I guess lol Let's trun the Floor Function for positive reals which rounds down to the nearest Integer into a series using some clever summation!
Enjoy =)
My Website: https://www.papaflammy.engineer/
Flammy's subreddit: https://www.reddit.com/r/FlammyBois
Twitter: https://twitter.com/FlammableMaths
Facebook: https://www.facebook.com/flammablemaths/
Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2
Help me create more free content! =)
https://www.patreon.com/mathable
Merch :v - https://teespring.com/de/stores/papaflammy
https://shop.spreadshirt.de/papaflammy
2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg
The title says it all I guess lol Let's trun the Floor Function for positive reals which rounds down to the nearest Integer into a series using some clever summation!
Enjoy =)
My Website: https://www.papaflammy.engineer/
Flammy's subreddit: https://www.reddit.com/r/FlammyBois
Twitter: https://twitter.com/FlammableMaths
Facebook: https://www.facebook.com/flammablemaths/
Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2
This calculus video tutorial explains how to graph the greatest integer function and how to evaluate limits using it. This is for high school and college students studying limits and continuity.
Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0
Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY
Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94
Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8
Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0
___________________________________
How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o
Infinite Limits + Vertical Asymptotes:
https://www.youtube.com/watch?v=xvFqomOpLrs
Limits at Infinity With Radicals:
https://www.youtube.com/watch?v=1hyoTeWg6Bs
Limits of Absolute Value Functions:
https://www.youtube.com/watch?v=wFeh4ByT0xs
Limits of Composite Functions:
https://www.youtube.com/watch?v=KjL9cWHzeIc
The Squeeze Theorem:
https://www.youtube.com/watch?v=lVIb9iJ-rRI
____________________________________
Limits and Logarithms:
https://www.youtube.com/watch?v=fHzmQmcvheI
Limits of Exponential Functions:
https://www.youtube.com/watch?v=pcUXo7XbRaM
Piecewise Functions - Limits:
https://www.youtube.com/watch?v=JrYmEo6hoiU
3 Step Continuity Test:
https://www.youtube.com/watch?v=WT7oxiiFYt8
Continuity and Differentiability:
https://www.youtube.com/watch?v=fml0-ELYLaE
Limits - Test Review:
https://www.youtube.com/watch?v=6e4Wtgc43KQ
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Limits - Free Formula Sheet:
https://bit.ly/3T3dD2X
We introduce the floor and ceiling functions, then do a proof with them.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2
*--Recommended Textbooks--*
Discrete and Combinatorial Mathematics (Grimaldi): https://amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): https://amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): https://amzn.to/3lUgrMI
Book of Proof (Hammack): https://amzn.to/35eEbVg
Like us on Facebook: http://on.fb.me/1vWwDRc
Submit your questions on Reddit: http://bit.ly/1GwZZrP
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Here we will integrate floor(x) from 0 to 4. The floor function is also called the greatest integer function.
💪 Join our channel membership to unlock special perks,: https://bit.ly/34PGH4h
🏬 Shop math t-shirt & hoodies: https://teespring.com/stores/blackpenredpen
10% off with the code "TEESPRINGWELCOME10"
Equipment:
👉 Expo Markers (black, red, blue): https://amzn.to/2T3ijqW
👉 The whiteboard: https://amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integrals-on-wall
---------------------------------------------------------------------------------------------------
Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium subscription!
Integral battle between integral of (floor(x))^2 vs. integral of floor(x^2)
Check out the sum of first n squares: https://youtu.be/OpA7oNmHobM
Sum of first sqrt(n): https://math.stackexchange.com/questions/422559/what-is-sum-limits-i-1n-sqrt-i
Please subscribe for more math content!
Check out my T-shirts & Hoodies: https://teespring.com/stores/blackpenredpen
Patreon https://www.patreon.com/blackpenredpen
I create my site www.blackpenred.com on Wix, give it a try: http://wixstats.com/?a=25754&c=124&s1=
Check out my site & social media
😃 https://blackpenredpen.com
😃 https://twitter.com/blackpenredpen
😃 https://www.instagram.com/blackpenredpen/
Thank you for your support!
blackpenredpen | 曹老師
0:00 - Starting Talk
2:10 - Chamber 1
4:22 - Chamber 2
6:53 - Chamber 3
9:33 - Thoughts + Strats
Thumbnail Mualani Art: https://chaoticentropy.tumblr.com/post/760250298595999744
Thumbnail Navia Art: https://www.zerochan.net/4058860
Beating the new abyss, using Mualani for the first time even though I dont have a full obsidian set. Shows how easy that is. 2nd side obviously destroyed due to c2 navia I've invested alot into her and her team!
Help me create more free content! =)
https://www.patreon.com/mathable
Merch :v - https://teespring.com/de/stores/papaflammy
https://shop.spreadshirt.de/papaflammy
2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg
The title says it all I guess lol Let's trun the Floor Function for positive reals which rounds down to the nearest Integer into a series using some clever summation!
Enjoy =)
My Website: https://www.papaflammy.engineer/
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In mathematics and computer science, the floor and ceilingfunctions map a real number to the largest previous or the smallest following integer, respectively. More precisely, floor(x) = is the largest integer not greater than x and ceiling(x) = is the smallest integer not less than x.
Notation
Carl Friedrich Gauss introduced the square bracket notation for the floor function in his third proof of quadratic reciprocity (1808).
This remained the standard in mathematics until Kenneth E. Iverson introduced the names "floor" and "ceiling" and the corresponding notations and in his 1962 book A Programming Language. Both notations are now used in mathematics; this article follows Iverson.
The floor function is also called the greatest integer or entier (French for "integer") function, and its value at x is called the integral part or integer part of x; for negative values of x the latter terms are sometimes instead taken to be the value of the ceiling function, i.e., the value of x rounded to an integer towards 0. The language APL uses ⌊x; other computer languages commonly use notations like entier(x) (ALGOL), INT(x) (BASIC), or floor(x)(C, C++, R, and Python). In mathematics, it can also be written with boldface or double brackets .
The first floor ... The third floor will have the accounts branch and district town planner’s office among other functions and the fourth is planned for the senior deputy mayor’s office and House meetings.
On June 25, firefighters prevented a major tragedy by dousing a fire on the fourth floor of a building opposite the Journalists Colony bus stop in Jubilee Hills. A software company functioned its office on that floor.
Professionalizing floor management techniques is crucial to ensuring Parliament’s efficient functioning ... last five decades, Parliament must function in step with the needs of the changing times.
Cement brick walls, bar top, and floor ... He’s thinking about food for the bands in the green room and catering events on the dance floor such as graduations, dances and weddings in the future.
...Hà Nội. Spanning 64,640 square metres across four above-ground floors and a basement, the museum features a modern design with multiple functional areas and advanced projection technologies.
Congress legislator Uma Thomas, who fell down from the stage on the first floor while attending a function at the Jawaharlal Nehru Stadium here on Saturday evening, has been put on ventilator support... .
Eyewitnesses told Anadolu that an Israeli artillery shell struck the top floor of the Baptist Hospital. The hospital remains the last functioning medical facility in northern Gaza after the Kamal Adwan ...
“It can be for the young, emerging athletes or high-end athletes, or someone who wants to age well and be as functional and independent as possible.” Think prevention ... of shape and not as functional.”.
“It can be for the young, emerging athletes or high-end athletes, or someone who wants to age well and be as functional and independent as possible.” ... Herr noted that “floor to stand” movements involve flexibility, strength, balance and coordination.