A quasigroup with an identity element is called a loop.
Definitions
There are at least two equivalent formal definitions of quasigroup. One defines a quasigroup as a set with one binary operation, and the other, from universal algebra, defines a quasigroup as having three primitive operations. We begin with the first definition.
A quasigroup(Q, ∗) is a set, Q, with a binary operation, ∗, (that is, a magma), obeying the Latin square property. This states that, for each a and b in Q, there exist unique elements x and y in Q such that both
a ∗ x = b
y ∗ a = b
hold. (In other words: Each element of the set occurs exactly once in each row and exactly once in each column of the quasigroup's multiplication table, or Cayley table. This property ensures that the Cayley table of a finite quasigroup is a Latin square.)
Looping, in education, refers to the practice of a teacher remaining with the same group of students for more than one school year. For example, a teacher who teaches a third grade class and then goes on to teach the same students, the following year, for the fourth grade.
This is distinct from the teacher of a multi-age class, who teaches a specific range of school grades together. In this case, although each child remains with the same teacher for multiple years, the group of students being taught changes annually as older children leave the group and are replaced by younger students entering.
Looping is usual in Waldorf education, where the traditional goal has been for a primary teacher to remain as the lead teacher of a class for eight consecutive years, though in conjunction with numerous specialized teachers; over the last decades, many schools have been reducing the loop to a shorter interval.
Benefits
Educational advantages to having a single teacher have been found, including:
Groupoid || Quasi Group|| Binary operation || Groupoid with examples
Here we introduced the concept of Groupoid. We tried it to understand with set of natural number and set of integer.
published: 02 Nov 2023
Quasigroups, Loops and some of their Applications
Brandon University
Faculty of Science Seminar Series
2023-24
https://www.brandonu.ca/science/seminar-series/
January 26, 2024
Jaiyéolá Tèmitópé Gbóláhàn
Obafemi Awolowo University
Nigeria
Quasigroups, Loops and some of their Applications
Abstract:
This is an overview of the theory of quasigroups and loops. Notions and concepts which are commonly used in their studies will be discussed. An historical background of the theory of quasigroup and loop across the globe will be done. Some varieties and classes of quasigroups and loops, their algebraic properties, and applications to various aspects of science will be discussed.
Biography:
I obtained a BSc degree in Mathematical Sciences (with bias in Mathematics) in 2002, MSc degree in Mathematics in 2005 and PhD degree in Mathematics in 2009...
published: 06 Feb 2024
What does quasigroup mean?
What does quasigroup mean?
A spoken definition of quasigroup.
Intro Sound:
Typewriter - Tamskp
Licensed under CC:BA 3.0
Outro Music:
Groove Groove - Kevin MacLeod (incompetech.com)
Licensed under CC:BA 3.0
Intro/Outro Photo:
The best days are not planned - Marcus Hansson
Licensed under CC-BY-2.0
Book Image:
Open Book template PSD - DougitDesign
Licensed under CC:BA 3.0
Text derived from:
http://en.wiktionary.org/wiki/quasigroup
Text to Speech powered by TTS-API.COM
published: 10 Apr 2015
How to Pronounce Quasigroup
This video shows you how to pronounce Quasigroup
published: 01 Jun 2015
Groupoid | Semi Group | Quasi group | Group Theory by DR Colleger
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grou...
published: 23 Jul 2023
Quasigroup
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Quasigroup
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.Quasigroups differ from groups mainly in that they need not be associative.
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Quasi group ||groupoid ||semi group ||Abstract algebra ||lecture no - 03||Bengali medium ||S M sir
What is Quasi group?? Definition of quasi group? Examples of quasi group. What is groupoid? What is semi group? What is monoid? Examples of semi group. Examples of groupoid. Example of monoid. Group theory in abstract algebra in mathematics. 3rd lecture in abstract algebra by sm sir...
published: 11 May 2020
What is Quasi group? Class 11 SOCIOLOGY Ch.2
published: 10 Jun 2022
Jack Allsop, “Solution to a question of Falconer on quasigroup varieties”
published: 19 Nov 2021
Group definitions | Quasi group | Semi group | Monoid | Group Theory Course
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January 26, 2024
Jaiyéolá Tèmitópé Gbóláhàn
Obafem...
Brandon University
Faculty of Science Seminar Series
2023-24
https://www.brandonu.ca/science/seminar-series/
January 26, 2024
Jaiyéolá Tèmitópé Gbóláhàn
Obafemi Awolowo University
Nigeria
Quasigroups, Loops and some of their Applications
Abstract:
This is an overview of the theory of quasigroups and loops. Notions and concepts which are commonly used in their studies will be discussed. An historical background of the theory of quasigroup and loop across the globe will be done. Some varieties and classes of quasigroups and loops, their algebraic properties, and applications to various aspects of science will be discussed.
Biography:
I obtained a BSc degree in Mathematical Sciences (with bias in Mathematics) in 2002, MSc degree in Mathematics in 2005 and PhD degree in Mathematics in 2009 at the University of Agriculture, Abeokuta,
Nigeria (now Federal University of Agriculture, Abeokuta, Nigeria). My MSc and PhD theses were based on the notions of "Central Loops" and "Osborn Loops" in the field of Algebra known as "Theory of Quasigroups and Loops". After my graduate studies at the Federal University of Agriculture, Abeokuta, I got an appointment at the Department of Mathematics, Faculty of Science, Obafemi Awolowo University (OAU), Ile-Ife, Nigeria in 2006 and have since risen to the position of a full Professor in 2017. I have been teaching Algebra courses at undergraduate and post graduate levels, supervised nine Masters of Science theses in Mathematics and supervised 7 PhD theses in Mathematics. I have attended national and International Conferences and Schools in the past and been involved in the organization of others. I am a Fellow of the Nigerian Young Academy (FNYA), Editor (Mathematical Sciences Section) of Annals of Science and Technology, Published by Nigerian Young Academy (NYA), Editor, International Journal of Mathematical Sciences and Optimization: Theory and Applications and International Ambassador of Africa Project Against Suicide (APAS). I am the Head of Nigerian Branch of Neutrosophic Science International Association (NSIA), University of New Mexico, United States of America and the Director for Human Resources, Platinum Minds Global Company (PMGC). I have published not less than eighty five (85) journal articles; authored a book; co-authored another book; reviewed seven (7) books; and
contributed to seven (7) books. I specialize in the areas of Algebra called "Groups and their Generalization" and "Non-Associative Algebraic Systems". My particular field of expertise is in the "Theory of Groupoids, Quasigroups and Loops". I also work on "Neutrosophic Algebraic Structures" and "Non-Associative Hyper-Algebraic Structures" and "Soft Quasigroup". I am enthusiastic to apply these areas of studies to Cryptography, Coding Theory, Sociology, Sports and Biological Inheritance. I am a member of the professional organizations Nigerian Mathematical Society (NMS), African Mathematical Union (AMU) and American Mathematical Society (AMS). I have served as referee for scholarly journals
both nationally and internationally since 2009. I am a reviewer for the Mathematical Reviews (MathSciNet) and Zentralblatt MATH (ZbMATH Open). I have won national and international awards. Among which are the International Mathematical Union (IMU) Awards (EUR 1147,08=$1470) for the International Congress of Mathematicians (ICM) in 2010 and International Mathematical Union (IMU), Chebyshev Grant, for the International Congress of Mathematicians (ICM) in 2022. As a member of the Nigerian Young Academy (NYA) executive, I won a 5,000 USD TWAS-ROSSA grant (2016), 25,000 USD IAP- CAREGIE small grant (2017-2018) and USD 4,000-6,000 IAP grant (2018).
Brandon University
Faculty of Science Seminar Series
2023-24
https://www.brandonu.ca/science/seminar-series/
January 26, 2024
Jaiyéolá Tèmitópé Gbóláhàn
Obafemi Awolowo University
Nigeria
Quasigroups, Loops and some of their Applications
Abstract:
This is an overview of the theory of quasigroups and loops. Notions and concepts which are commonly used in their studies will be discussed. An historical background of the theory of quasigroup and loop across the globe will be done. Some varieties and classes of quasigroups and loops, their algebraic properties, and applications to various aspects of science will be discussed.
Biography:
I obtained a BSc degree in Mathematical Sciences (with bias in Mathematics) in 2002, MSc degree in Mathematics in 2005 and PhD degree in Mathematics in 2009 at the University of Agriculture, Abeokuta,
Nigeria (now Federal University of Agriculture, Abeokuta, Nigeria). My MSc and PhD theses were based on the notions of "Central Loops" and "Osborn Loops" in the field of Algebra known as "Theory of Quasigroups and Loops". After my graduate studies at the Federal University of Agriculture, Abeokuta, I got an appointment at the Department of Mathematics, Faculty of Science, Obafemi Awolowo University (OAU), Ile-Ife, Nigeria in 2006 and have since risen to the position of a full Professor in 2017. I have been teaching Algebra courses at undergraduate and post graduate levels, supervised nine Masters of Science theses in Mathematics and supervised 7 PhD theses in Mathematics. I have attended national and International Conferences and Schools in the past and been involved in the organization of others. I am a Fellow of the Nigerian Young Academy (FNYA), Editor (Mathematical Sciences Section) of Annals of Science and Technology, Published by Nigerian Young Academy (NYA), Editor, International Journal of Mathematical Sciences and Optimization: Theory and Applications and International Ambassador of Africa Project Against Suicide (APAS). I am the Head of Nigerian Branch of Neutrosophic Science International Association (NSIA), University of New Mexico, United States of America and the Director for Human Resources, Platinum Minds Global Company (PMGC). I have published not less than eighty five (85) journal articles; authored a book; co-authored another book; reviewed seven (7) books; and
contributed to seven (7) books. I specialize in the areas of Algebra called "Groups and their Generalization" and "Non-Associative Algebraic Systems". My particular field of expertise is in the "Theory of Groupoids, Quasigroups and Loops". I also work on "Neutrosophic Algebraic Structures" and "Non-Associative Hyper-Algebraic Structures" and "Soft Quasigroup". I am enthusiastic to apply these areas of studies to Cryptography, Coding Theory, Sociology, Sports and Biological Inheritance. I am a member of the professional organizations Nigerian Mathematical Society (NMS), African Mathematical Union (AMU) and American Mathematical Society (AMS). I have served as referee for scholarly journals
both nationally and internationally since 2009. I am a reviewer for the Mathematical Reviews (MathSciNet) and Zentralblatt MATH (ZbMATH Open). I have won national and international awards. Among which are the International Mathematical Union (IMU) Awards (EUR 1147,08=$1470) for the International Congress of Mathematicians (ICM) in 2010 and International Mathematical Union (IMU), Chebyshev Grant, for the International Congress of Mathematicians (ICM) in 2022. As a member of the Nigerian Young Academy (NYA) executive, I won a 5,000 USD TWAS-ROSSA grant (2016), 25,000 USD IAP- CAREGIE small grant (2017-2018) and USD 4,000-6,000 IAP grant (2018).
What does quasigroup mean?
A spoken definition of quasigroup.
Intro Sound:
Typewriter - Tamskp
Licensed under CC:BA 3.0
Outro Music:
Groove Groove - K...
What does quasigroup mean?
A spoken definition of quasigroup.
Intro Sound:
Typewriter - Tamskp
Licensed under CC:BA 3.0
Outro Music:
Groove Groove - Kevin MacLeod (incompetech.com)
Licensed under CC:BA 3.0
Intro/Outro Photo:
The best days are not planned - Marcus Hansson
Licensed under CC-BY-2.0
Book Image:
Open Book template PSD - DougitDesign
Licensed under CC:BA 3.0
Text derived from:
http://en.wiktionary.org/wiki/quasigroup
Text to Speech powered by TTS-API.COM
What does quasigroup mean?
A spoken definition of quasigroup.
Intro Sound:
Typewriter - Tamskp
Licensed under CC:BA 3.0
Outro Music:
Groove Groove - Kevin MacLeod (incompetech.com)
Licensed under CC:BA 3.0
Intro/Outro Photo:
The best days are not planned - Marcus Hansson
Licensed under CC-BY-2.0
Book Image:
Open Book template PSD - DougitDesign
Licensed under CC:BA 3.0
Text derived from:
http://en.wiktionary.org/wiki/quasigroup
Text to Speech powered by TTS-API.COM
Groupoid | Semi Group | Quasi group | Group Theory | @drcolleger
My another channel for Competitive Mathematics:
https://www.youtube.com/c/SuperiorMathematics
...
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If you find our videos helpful you can support us by buying something from amazon.
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Quasigroup
In mathematics, espec...
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Quasigroup
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.Quasigroups differ from groups mainly in that they need not be associative.
-Video is targeted to blind users
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Article text available under CC-BY-SA
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If you find our videos helpful you can support us by buying something from amazon.
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Quasigroup
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.Quasigroups differ from groups mainly in that they need not be associative.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
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What is Quasi group?? Definition of quasi group? Examples of quasi group. What is groupoid? What is semi group? What is monoid? Examples of semi group. Examples...
What is Quasi group?? Definition of quasi group? Examples of quasi group. What is groupoid? What is semi group? What is monoid? Examples of semi group. Examples of groupoid. Example of monoid. Group theory in abstract algebra in mathematics. 3rd lecture in abstract algebra by sm sir...
What is Quasi group?? Definition of quasi group? Examples of quasi group. What is groupoid? What is semi group? What is monoid? Examples of semi group. Examples of groupoid. Example of monoid. Group theory in abstract algebra in mathematics. 3rd lecture in abstract algebra by sm sir...
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In this step-by-step tutorial, learn all about the new Microsoft Loop app. Find out what Loop is and why you would use it, how to get Loop, and how to use the app.
📚 RESOURCES
- Get Microsoft Loop app: https://aka.ms/msloop
- IT Admin instructions to enable Loop in tenant: https://aka.ms/EnableLoop
⌚ TIMESTAMPS
00:00 Introduction
00:24 What is Loop
01:29 How to get Loop app
02:10 Start page with workspaces
03:04 Create new workspace
03:42 Sidebar navigation
04:40 Page title and design
05:14 Insert components
06:16 Voting table component
08:22 Add page using template
09:47 Share with others
11:13 Reactions and comments
12:06 Assign tasks
12:54 Create Loop components
14:58 Version history
15:15 Notifications
15:35 Ideas
16:07 Wrap up
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published: 22 Mar 2023
A Simple Process to Improve How You Learn - Double Loop Learning
We’re taught single loop learning from the time we are in grade school, but there’s a better way. Double loop learning is the quickest and most efficient way to learn anything that you want to “stick.”
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published: 12 Jul 2022
What is Double-Loop Learning | Explained in 2 min
In this video, we will explore What is Double-Loop Learning.
Double-Loop Learning is a concept and process that involves teaching people to think more deeply about their own assumptions and beliefs.
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I’m Janis, but most people know me as a Productivity Guy.
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published: 25 Dec 2020
Microsoft Loop - think, plan and create together like never before!
Microsoft Loop is a transformative co-creation experience that brings together teams, content, and tasks across your tools and devices. The new Loop app is where you can access all three parts of Loop; components, workspaces, and pages – watch the video for an overview.
Try Microsoft Loop at loop.microsoft.com
#Microsot #Microsoft365 #MicrosoftTeams
published: 22 Mar 2023
THE EDUCATION LOOP
im here to spread the word about helium. Made with Loopy HD
seriously tho, we be running out: http://scienceblogs.com/startswithabang/2012/12/12/why-the-world-will-run-out-of-helium/
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published: 25 Mar 2014
Explaining Single, Double and Triple Loop learning
published: 13 Aug 2021
Organizational Learning - Single and Double-Loop Learning
published: 23 Nov 2016
Introducing Microsoft Loop
See how the new Microsoft Loop can improve your workstream.
Learn more at https://www.microsoft.com/en-us/microsoft-loop
Audio Description: https://youtu.be/9GVs1pL9EX0
#Microsoft #MSIgnite
published: 03 Nov 2021
To know more about Loop Learning, register for free at www.looplearning.com/register
Online grading systems are super-handy for teachers and students alike. It allows teachers to spend more time creating new curricula and developing lesson plans rather than spending time on clerical work like attendance records and grades for each student in a class.
Find out more in the testimony given by one of our teachers who has been using Loop Learning for sometime now.
In this step-by-step tutorial, learn all about the new Microsoft Loop app. Find out what Loop is and why you would use it, how to get Loop, and how to use the a...
In this step-by-step tutorial, learn all about the new Microsoft Loop app. Find out what Loop is and why you would use it, how to get Loop, and how to use the app.
📚 RESOURCES
- Get Microsoft Loop app: https://aka.ms/msloop
- IT Admin instructions to enable Loop in tenant: https://aka.ms/EnableLoop
⌚ TIMESTAMPS
00:00 Introduction
00:24 What is Loop
01:29 How to get Loop app
02:10 Start page with workspaces
03:04 Create new workspace
03:42 Sidebar navigation
04:40 Page title and design
05:14 Insert components
06:16 Voting table component
08:22 Add page using template
09:47 Share with others
11:13 Reactions and comments
12:06 Assign tasks
12:54 Create Loop components
14:58 Version history
15:15 Notifications
15:35 Ideas
16:07 Wrap up
📺 RELATED VIDEOS
- Playlist with all my videos on Microsoft Loop: https://youtube.com/playlist?list=PLlKpQrBME6xK-851mw8MGrqZ3oOqCtaqC
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In this step-by-step tutorial, learn all about the new Microsoft Loop app. Find out what Loop is and why you would use it, how to get Loop, and how to use the app.
📚 RESOURCES
- Get Microsoft Loop app: https://aka.ms/msloop
- IT Admin instructions to enable Loop in tenant: https://aka.ms/EnableLoop
⌚ TIMESTAMPS
00:00 Introduction
00:24 What is Loop
01:29 How to get Loop app
02:10 Start page with workspaces
03:04 Create new workspace
03:42 Sidebar navigation
04:40 Page title and design
05:14 Insert components
06:16 Voting table component
08:22 Add page using template
09:47 Share with others
11:13 Reactions and comments
12:06 Assign tasks
12:54 Create Loop components
14:58 Version history
15:15 Notifications
15:35 Ideas
16:07 Wrap up
📺 RELATED VIDEOS
- Playlist with all my videos on Microsoft Loop: https://youtube.com/playlist?list=PLlKpQrBME6xK-851mw8MGrqZ3oOqCtaqC
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#stratvert #microsoftloop
We’re taught single loop learning from the time we are in grade school, but there’s a better way. Double loop learning is the quickest and most efficient way to...
We’re taught single loop learning from the time we are in grade school, but there’s a better way. Double loop learning is the quickest and most efficient way to learn anything that you want to “stick.”
If you liked this video, check out this one on how to become a better reader: https://youtu.be/kfu5-oGUgqk
Read the companion article: https://fs.blog/double-loop-learning/
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We’re taught single loop learning from the time we are in grade school, but there’s a better way. Double loop learning is the quickest and most efficient way to learn anything that you want to “stick.”
If you liked this video, check out this one on how to become a better reader: https://youtu.be/kfu5-oGUgqk
Read the companion article: https://fs.blog/double-loop-learning/
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In this video, we will explore What is Double-Loop Learning.
Double-Loop Learning is a concept and process that involves teaching people to think more deeply ab...
In this video, we will explore What is Double-Loop Learning.
Double-Loop Learning is a concept and process that involves teaching people to think more deeply about their own assumptions and beliefs.
_________
Hey,
I’m Janis, but most people know me as a Productivity Guy.
I create content about productivity with the main mission being to educate and inspire people to transform their lives through effective principles and strategies.
Below, I will list some of my best resources that you can explore.
_________
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In this video, we will explore What is Double-Loop Learning.
Double-Loop Learning is a concept and process that involves teaching people to think more deeply about their own assumptions and beliefs.
_________
Hey,
I’m Janis, but most people know me as a Productivity Guy.
I create content about productivity with the main mission being to educate and inspire people to transform their lives through effective principles and strategies.
Below, I will list some of my best resources that you can explore.
_________
🔥 Get My Free Productivity Framework
👉 Template - https://www.productivityguy.net/productivity-framework-system
The Ultimate Productivity System that you need to stay organized, productive, and in control of your life. Grab your Free Copy Today!
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Kind Regards,
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Microsoft Loop is a transformative co-creation experience that brings together teams, content, and tasks across your tools and devices. The new Loop app is wher...
Microsoft Loop is a transformative co-creation experience that brings together teams, content, and tasks across your tools and devices. The new Loop app is where you can access all three parts of Loop; components, workspaces, and pages – watch the video for an overview.
Try Microsoft Loop at loop.microsoft.com
#Microsot #Microsoft365 #MicrosoftTeams
Microsoft Loop is a transformative co-creation experience that brings together teams, content, and tasks across your tools and devices. The new Loop app is where you can access all three parts of Loop; components, workspaces, and pages – watch the video for an overview.
Try Microsoft Loop at loop.microsoft.com
#Microsot #Microsoft365 #MicrosoftTeams
im here to spread the word about helium. Made with Loopy HD
seriously tho, we be running out: http://scienceblogs.com/startswithabang/2012/12/12/why-the-world-...
im here to spread the word about helium. Made with Loopy HD
seriously tho, we be running out: http://scienceblogs.com/startswithabang/2012/12/12/why-the-world-will-run-out-of-helium/
remember them
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im here to spread the word about helium. Made with Loopy HD
seriously tho, we be running out: http://scienceblogs.com/startswithabang/2012/12/12/why-the-world-will-run-out-of-helium/
remember them
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See how the new Microsoft Loop can improve your workstream.
Learn more at https://www.microsoft.com/en-us/microsoft-loop
Audio Description: https://youtu.be/...
See how the new Microsoft Loop can improve your workstream.
Learn more at https://www.microsoft.com/en-us/microsoft-loop
Audio Description: https://youtu.be/9GVs1pL9EX0
#Microsoft #MSIgnite
See how the new Microsoft Loop can improve your workstream.
Learn more at https://www.microsoft.com/en-us/microsoft-loop
Audio Description: https://youtu.be/9GVs1pL9EX0
#Microsoft #MSIgnite
Online grading systems are super-handy for teachers and students alike. It allows teachers to spend more time creating new curricula and developing lesson plans...
Online grading systems are super-handy for teachers and students alike. It allows teachers to spend more time creating new curricula and developing lesson plans rather than spending time on clerical work like attendance records and grades for each student in a class.
Find out more in the testimony given by one of our teachers who has been using Loop Learning for sometime now.
Online grading systems are super-handy for teachers and students alike. It allows teachers to spend more time creating new curricula and developing lesson plans rather than spending time on clerical work like attendance records and grades for each student in a class.
Find out more in the testimony given by one of our teachers who has been using Loop Learning for sometime now.
Brandon University
Faculty of Science Seminar Series
2023-24
https://www.brandonu.ca/science/seminar-series/
January 26, 2024
Jaiyéolá Tèmitópé Gbóláhàn
Obafemi Awolowo University
Nigeria
Quasigroups, Loops and some of their Applications
Abstract:
This is an overview of the theory of quasigroups and loops. Notions and concepts which are commonly used in their studies will be discussed. An historical background of the theory of quasigroup and loop across the globe will be done. Some varieties and classes of quasigroups and loops, their algebraic properties, and applications to various aspects of science will be discussed.
Biography:
I obtained a BSc degree in Mathematical Sciences (with bias in Mathematics) in 2002, MSc degree in Mathematics in 2005 and PhD degree in Mathematics in 2009 at the University of Agriculture, Abeokuta,
Nigeria (now Federal University of Agriculture, Abeokuta, Nigeria). My MSc and PhD theses were based on the notions of "Central Loops" and "Osborn Loops" in the field of Algebra known as "Theory of Quasigroups and Loops". After my graduate studies at the Federal University of Agriculture, Abeokuta, I got an appointment at the Department of Mathematics, Faculty of Science, Obafemi Awolowo University (OAU), Ile-Ife, Nigeria in 2006 and have since risen to the position of a full Professor in 2017. I have been teaching Algebra courses at undergraduate and post graduate levels, supervised nine Masters of Science theses in Mathematics and supervised 7 PhD theses in Mathematics. I have attended national and International Conferences and Schools in the past and been involved in the organization of others. I am a Fellow of the Nigerian Young Academy (FNYA), Editor (Mathematical Sciences Section) of Annals of Science and Technology, Published by Nigerian Young Academy (NYA), Editor, International Journal of Mathematical Sciences and Optimization: Theory and Applications and International Ambassador of Africa Project Against Suicide (APAS). I am the Head of Nigerian Branch of Neutrosophic Science International Association (NSIA), University of New Mexico, United States of America and the Director for Human Resources, Platinum Minds Global Company (PMGC). I have published not less than eighty five (85) journal articles; authored a book; co-authored another book; reviewed seven (7) books; and
contributed to seven (7) books. I specialize in the areas of Algebra called "Groups and their Generalization" and "Non-Associative Algebraic Systems". My particular field of expertise is in the "Theory of Groupoids, Quasigroups and Loops". I also work on "Neutrosophic Algebraic Structures" and "Non-Associative Hyper-Algebraic Structures" and "Soft Quasigroup". I am enthusiastic to apply these areas of studies to Cryptography, Coding Theory, Sociology, Sports and Biological Inheritance. I am a member of the professional organizations Nigerian Mathematical Society (NMS), African Mathematical Union (AMU) and American Mathematical Society (AMS). I have served as referee for scholarly journals
both nationally and internationally since 2009. I am a reviewer for the Mathematical Reviews (MathSciNet) and Zentralblatt MATH (ZbMATH Open). I have won national and international awards. Among which are the International Mathematical Union (IMU) Awards (EUR 1147,08=$1470) for the International Congress of Mathematicians (ICM) in 2010 and International Mathematical Union (IMU), Chebyshev Grant, for the International Congress of Mathematicians (ICM) in 2022. As a member of the Nigerian Young Academy (NYA) executive, I won a 5,000 USD TWAS-ROSSA grant (2016), 25,000 USD IAP- CAREGIE small grant (2017-2018) and USD 4,000-6,000 IAP grant (2018).
What does quasigroup mean?
A spoken definition of quasigroup.
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Quasigroup
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.Quasigroups differ from groups mainly in that they need not be associative.
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What is Quasi group?? Definition of quasi group? Examples of quasi group. What is groupoid? What is semi group? What is monoid? Examples of semi group. Examples of groupoid. Example of monoid. Group theory in abstract algebra in mathematics. 3rd lecture in abstract algebra by sm sir...
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A quasigroup with an identity element is called a loop.
Definitions
There are at least two equivalent formal definitions of quasigroup. One defines a quasigroup as a set with one binary operation, and the other, from universal algebra, defines a quasigroup as having three primitive operations. We begin with the first definition.
A quasigroup(Q, ∗) is a set, Q, with a binary operation, ∗, (that is, a magma), obeying the Latin square property. This states that, for each a and b in Q, there exist unique elements x and y in Q such that both
a ∗ x = b
y ∗ a = b
hold. (In other words: Each element of the set occurs exactly once in each row and exactly once in each column of the quasigroup's multiplication table, or Cayley table. This property ensures that the Cayley table of a finite quasigroup is a Latin square.)
In this step-by-step tutorial, learn all about the new Microsoft Loop app. Find out what Loop is and why you would use it, how to get Loop, and how to use the app.
📚 RESOURCES
- Get Microsoft Loop app: https://aka.ms/msloop
- IT Admin instructions to enable Loop in tenant: https://aka.ms/EnableLoop
⌚ TIMESTAMPS
00:00 Introduction
00:24 What is Loop
01:29 How to get Loop app
02:10 Start page with workspaces
03:04 Create new workspace
03:42 Sidebar navigation
04:40 Page title and design
05:14 Insert components
06:16 Voting table component
08:22 Add page using template
09:47 Share with others
11:13 Reactions and comments
12:06 Assign tasks
12:54 Create Loop components
14:58 Version history
15:15 Notifications
15:35 Ideas
16:07 Wrap up
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We’re taught single loop learning from the time we are in grade school, but there’s a better way. Double loop learning is the quickest and most efficient way to learn anything that you want to “stick.”
If you liked this video, check out this one on how to become a better reader: https://youtu.be/kfu5-oGUgqk
Read the companion article: https://fs.blog/double-loop-learning/
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In this video, we will explore What is Double-Loop Learning.
Double-Loop Learning is a concept and process that involves teaching people to think more deeply about their own assumptions and beliefs.
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Microsoft Loop is a transformative co-creation experience that brings together teams, content, and tasks across your tools and devices. The new Loop app is where you can access all three parts of Loop; components, workspaces, and pages – watch the video for an overview.
Try Microsoft Loop at loop.microsoft.com
#Microsot #Microsoft365 #MicrosoftTeams
im here to spread the word about helium. Made with Loopy HD
seriously tho, we be running out: http://scienceblogs.com/startswithabang/2012/12/12/why-the-world-will-run-out-of-helium/
remember them
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See how the new Microsoft Loop can improve your workstream.
Learn more at https://www.microsoft.com/en-us/microsoft-loop
Audio Description: https://youtu.be/9GVs1pL9EX0
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Online grading systems are super-handy for teachers and students alike. It allows teachers to spend more time creating new curricula and developing lesson plans rather than spending time on clerical work like attendance records and grades for each student in a class.
Find out more in the testimony given by one of our teachers who has been using Loop Learning for sometime now.