For System of Congruence equations - Chinese Remainder Theorem Examples 1 and 2:
Example 1: https://www.youtube.com/watch?v=OB1OcmVSWLc
Example 2: https://www.youtube.com/watch?v=NSpwIu2xaf4&list=PLsT0BEyocS2JaJZHRyyFcRV2KHyg5OEz8
The Many Solution case video: https://www.youtube.com/watch?v=fxwRrVcddww&t=15s
The No Solution Case video: https://www.youtube.com/watch?v=HofgpkQH3-M
In this video, I show you an example of a congruence equation that has ONE solution.

Views: 26419
Polar Pi

Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator.

Views: 232645
Maths with Jay

CHINESE REMAINDER THEOREM BY B.K. TUTORIALS

Views: 107383
B.K. TUTORIALS

Linear congruence problems and solutions in hindi easy way to solve linear congruence problems.
Problems on linear congruence .
Linear congruence problems and solutions in hindi.
NUMBER THEORY.
LINEAR CONGRUENCE.
Real Analysis - Integral Equations and Boundary Value Problems https://www.amazon.in/dp/8121928052?ref=yo_pop_ma_swf
Ode and pde {differential equation} - Ordinary and Partial Differential Equations https://www.amazon.in/dp/9352535863?ref=yo_pop_ma_swf
Intregral equation and boundary value problems - Integral Equations and Boundary Value Problems https://www.amazon.in/dp/8121928052?ref=yo_pop_ma_swf
Please subscribe the chanel for more vedios and please support us.

Views: 21065
Mathematics Analysis

Modular arithmetic especially the properties of congruence are an important tool in arriving at quick solutions to a variety of problems. In this video Mayank unravels this concept of Congruence starting with the basic concepts and then explaining the 5 key properties of Congruence (≡):
a+c ≡ (b+d)mod N (Remainder of Sums ≡ Sum of Remainders)
a-c ≡ (b-d)mod N (Remainder of Difference ≡ Difference of Remainders)
ac ≡ (bd)mod N (Remainder of Products ≡ Products of Remainders)
a^e ≡ b^e mod N (Remainder of Exponent ≡ Exponent of Remainders)
a/e ≡ b/e (mod N/gcd(N,e)) (However, don’t do division without writing basic equation
Mayank applies these concepts to arrive at quick solutions for 7 representative problems - reducing seemingly impossible math involving large numbers to mere seconds.
Some example problems from the video:
Find the remainder 6^(6^(6^6 ) )/7
Find the last digit of (17)^16
There are 44 boxes of chocolates with 113 chocolates in each box. If you sell the chocolates by dozens, how many will be leftover?
More Motivations – Reducing Big Number @0:08
Why Bother? – Shortcuts to Several Problems @1:10
Face of a Clock @2:05
Face of a Clock Replace 12 with 0 – Module 12 @4:38
What Happens with 7 Days? @6:20
Running the Clock Backwards @8:37
Addition and Subtraction of Congruence’s @10:54
Application of Addition – Example-1 @14:30
Multiplication in Congruence’s @18:46
Application of Multiplication – Example -2/3 @22:15
Exponentiation in Congruence’s @26:08
Application of Exponentiation Example -4/5 @27:58
Division of Congruence’s: Never Divide, Think from Basics @33:37
Combining Congruence’s @38:43
Example – 6 @40:36
Concept of Multiplicative Inverse @48:33
Summary @49:30
Next – Faster Solutions to Exponent Problems @51:05
#Inverse #Exponentiation #Dozens #Subtraction #Happen #Congruence #Arithmetic #Reducing #Motivations #Delayed #Mayank #Examrace

Views: 54634
Examrace

Learn more math and science with brilliant.org, https://brilliant.org/blackpenredpen/ ,
first 200 people to sign up will get 20% off your subscription, and you can also support my channel! Thank you!
Read more about CRT: https://brilliant.org/wiki/chinese-remainder-theorem/
Solution to the question: https://brilliant.org/problems/thursday-birthday/
a classic modular arithmetic problem, solving system of congruences, must know number theory basic,
blackpenredpen,
math for fun,
https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen,
[email protected]

Views: 59317
blackpenredpen

Please Fill the form - https://docs.google.com/forms/d/1kOxvqvz1IvBMHJ3UeLecLDuK7ePKjHAvHaRcxduHKEE/edit
======================================================
Answer of your Questions Asked to me. (direct Link given below)
Blogger Link - http://shalik-htd.blogspot.com/
======================================================
Hey, friends, I upload the videos in this channel in Hindi for Engineering student of UPTU and other universities for computer science and IT (information technology) students.
like share and subscribe my channel
======================================================
Install C Programming Solution Android app - https://play.google.com/store/apps/details?id=com.shalik.patel.cprogrammingsolution
======================================================
======================================================
My Career Planning android app - https://play.google.com/store/apps/details?id=guide.mycareer.com.rec.mycareer
======================================================
======================================================
My Android App for my College Library (An Official App Of College Library) - https://play.google.com/store/apps/details?id=jrv.library.rec.reclibrary
======================================================
How to use android application - https://www.youtube.com/watch?v=1hMZCvl-JxM
======================================================
Contact me on Facebook - https://www.facebook.com/HTD-hub-250593705388294/?ref=br_rs
======================================================
Follow me on twitter - https://twitter.com/PatelShalik
======================================================

Views: 15861
hindi tutorials darshan

If you missed part 1: https://www.youtube.com/watch?v=eSFA1Fp8jcU
►Support the Channel
Patreon: https://patreon.com/majorprep
PayPal: https://www.paypal.me/majorprep
Join Facebook Group: https://www.facebook.com/groups/majorprep/
Follow MajorPrep on Twitter: https://twitter.com/MajorPrep1
►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/majorprep
***************************************************
► For more information on math, science, and engineering majors, check us out at https://majorprep.com
Best Ways to Contact Me: Facebook, twitter, or email ([email protected])

Views: 58057
MajorPrep

For System of Congruence equations - Chinese Remainder Theorem Examples 1 and 2:
Example 1: https://www.youtube.com/watch?v=OB1OcmVSWLc
Example 2: https://www.youtube.com/watch?v=NSpwIu2xaf4&list=PLsT0BEyocS2JaJZHRyyFcRV2KHyg5OEz8
The Many Solution case video: https://www.youtube.com/watch?v=fxwRrVcddww&t=15s
The One Solution Case: https://www.youtube.com/watch?v=kXL9UKujxJo
In this video, I show you an example of a congruence equation that has ONE solution.
In this video, I show you an example of a congruence equation that has no solutions. I also prove why it has no solutions.

Views: 1103
Polar Pi

We construct a small RSA cryptography system using basic number theoretic results, including linear congruences, Euler's function and Euler's Theorem.

Views: 61406
W Conradie

Once you know how to solve diophantine equations with a single variable, the next step in complexity is to consider equations with two variables. The simplest such equations are linear and take the form ax+by=c. Before we solve this equation generally, we need a preliminary result. We show that you can solve the equation ax+by=GCD(a,b) by performing the Euclidean algorithm, and then reverse-substituting to arrive at a single solution.
Subject: Elementary Number Theory
Teacher: Michael Harrison

Views: 96258
Socratica

A solution to a typical exam question. See my other videos
https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.

Views: 303441
Randell Heyman

Find integer solutions a^2+b^2=4c+3 , a number theory proof or disproof.
blackpenredpen,
math for fun,
https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen,
[email protected]

Views: 84631
blackpenredpen

Introduction to a key result in elementary number theory using a visualization with beads
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/fermat-primality-test-prime-adventure-part-10?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/random-primality-test-prime-adventure-part-9?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 81812
Khan Academy Labs

Let's acquaint ourselves with two of the most important theorems in elementary number theory (and competition math like AMC/AIME) by solving an interesting problem. The only prerequisite is the basic knowledge of modular arithmetic (what it is, how it behaves under addition/multiplication, some intuition on number theory).
Congratulations to Essentials of Math, Gustavo Exel, Devansh Sehta, Minh Cong Nguyen, Prathmesh, Eliot Argüello, Jack Miller, NoName, Daulian Doge, and Benjamin Wang for successfully solving this challenge question! Essentials of Math was the first person to solve the question.
Your support is truly a huge encouragement.
Please take a second to subscribe in order to send us your valuable support and receive notifications for new videos!
Every subscriber and every like are wholeheartedly appreciated.
For more Weekly Math Challenges:
https://www.youtube.com/playlist?list=PLpoKXj-PWCbaDXYHES37_zX4O-kCWxguM

Views: 8803
LetsSolveMathProblems

Step by step instructions on how to use The Chinese Remainder Theorem to solve a system of linear congruence.
Visit Our Channel :- https://www.youtube.com/channel/UCxikHwpro-DB02ix-NovvtQ
In this lecture we have taught about what how to solve multiplicative cipher method.
Follow Smit Kadvani on :-
Facebook :- https://www.facebook.com/smit.kadvani
Instagram :- https://www.instagram.com/the_smit0507
Follow Dhruvan Tanna on :-
Facebook :- https://www.facebook.com/dhruvan.tanna1
Instagram :- https://www.instagram.com/dhru1_tanna
Follow Keyur Thakkar on :-
Facebook :- https://www.facebook.com/keyur.thakka...
Instagram :- https://www.instagram.com/keyur_1982
Snapchat :- keyur1610
Follow Ankit Soni on:-
Facebook :- https://www.facebook.com/ankitsoni.1511
Instagram :- https://www.instagram.com/ankit_soni1511

Views: 55528
Quick Trixx

B.K. TUTORIALS SOLUTION OF CONGRUENCE EQUATION

Views: 34253
B.K. TUTORIALS

Congruence, Modular Arithmetic,
3 ways to interpret a ≡ b (mod n),
Number theory, discrete math,
how to solve congruence,
blackpenredpen,
math for fun,
https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen,
[email protected]

Views: 94263
blackpenredpen

Introduction to congruence and the terminology used.
Fairly basic with emphasis on the arithmetic of remainders.
Examples of the addition and multiplication rules for congruence.
Powers and Fermat’s little theorem.
Lastly an example solved using Fermat’s little theorem.

Views: 91469
DLBmaths

This video clearly explains the concept of modulo in modular example. Several examples involving positive and negative dividends were given. Enjoy!!!
www.modular-arithmetic.appspot.com
www.samuelchukwuemeka.com

Views: 189879
Samuel Chukwuemeka

Views: 38833
Iqbal Shahid

How to solve 17x ≡ 3 (mod 29) using Euclid's Algorithm. If you want to see how Bézout's Identity works, see https://www.youtube.com/watch?v=9PRPr6J_btM

Views: 211959
Maths with Jay

BA BSC 1ST YEAR NUMBER THEORY TRIGONOMETRY EXERCISE 2.2 MODULO M
LINEAR CONGRUENCE UNIQUE SOLUTION
CHAPTER 2 EXERCISE 2.2
#BABSCMATHEMATICS#LINEAR CONGRUENCE#
A+ JULANA
EDUCATION HUB
EDUCATING FOR BETTER FUTURE
A PLUS INSTITUTE OF SCIENCE
APJ INSTITUTE OF SCIENCE

Views: 5977
A Plus Julana - APJ

Claude Shannon's idea of perfect secrecy: no amount of computational power can help improve your ability to break the one-time pad
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/case-study-ww2-encryption-machines?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 132743
Khan Academy Labs

Please Fill the form - https://docs.google.com/forms/d/1kOxvqvz1IvBMHJ3UeLecLDuK7ePKjHAvHaRcxduHKEE/edit
======================================================
Answer of your Questions Asked to me. (direct Link given below)
Blogger Link - http://shalik-htd.blogspot.com/
======================================================
Hey, friends, I upload the videos in this channel in Hindi for Engineering student of UPTU and other universities for computer science and IT (information technology) students.
like share and subscribe my channel
======================================================
Install C Programming Solution Android app - https://play.google.com/store/apps/details?id=com.shalik.patel.cprogrammingsolution
======================================================
======================================================
My Career Planning android app - https://play.google.com/store/apps/details?id=guide.mycareer.com.rec.mycareer
======================================================
======================================================
My Android App for my College Library (An Official App Of College Library) - https://play.google.com/store/apps/details?id=jrv.library.rec.reclibrary
======================================================
How to use android application - https://www.youtube.com/watch?v=1hMZCvl-JxM
======================================================
Contact me on Facebook - https://www.facebook.com/HTD-hub-250593705388294/?ref=br_rs
======================================================
Follow me on twitter - https://twitter.com/PatelShalik
======================================================

Views: 7075
hindi tutorials darshan

How can we estimate the number of primes up to x?
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/time-space-tradeoff?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/trial-division-primality-test-using-a-sieve-prime-adventure-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 88872
Khan Academy Labs

Congratulations to Hizami Anuar, staffehn, Laura Kuttnig, Minh Cong Nguyen, FaTalCaT FL, Prof Bits, and attyfarbuckle for successfully solving the last week's math challenge question! Hizami Anuar was the first person to solve the question.
Your support is truly a huge encouragement.
Please take a second to subscribe in order to send us your valuable support and receive notifications for new videos!
Every subscriber and every like are wholeheartedly appreciated.
Welcome, everyone! My channel hosts one weekly math challenge question per week (made by either myself, my family, or my friends), which will be posted every Wednesday. Please comment your proposed answer and explanation below! If you are among the first ten people with the correct answer, you will be recognized in the next math challenge video. The solution to this question and new question will be posted next Wednesday.

Views: 5313
LetsSolveMathProblems

Solving congruences, 3 introductory examples,
Number Theory, Modular Arithmetic,
blackpenredpen,
math for fun,
https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen,
[email protected]

Views: 35604
blackpenredpen

Please Fill the form - https://docs.google.com/forms/d/1kOxvqvz1IvBMHJ3UeLecLDuK7ePKjHAvHaRcxduHKEE/edit
======================================================
Answer of your Questions Asked to me. (direct Link given below)
Blogger Link - http://shalik-htd.blogspot.com/
======================================================
Hey, friends, I upload the videos in this channel in Hindi for Engineering student of UPTU and other universities for computer science and IT (information technology) students.
like share and subscribe my channel
======================================================
Install C Programming Solution Android app - https://play.google.com/store/apps/details?id=com.shalik.patel.cprogrammingsolution
======================================================
======================================================
My Career Planning android app - https://play.google.com/store/apps/details?id=guide.mycareer.com.rec.mycareer
======================================================
======================================================
My Android App for my College Library (An Official App Of College Library) - https://play.google.com/store/apps/details?id=jrv.library.rec.reclibrary
======================================================
How to use android application - https://www.youtube.com/watch?v=1hMZCvl-JxM
======================================================
Contact me on Facebook - https://www.facebook.com/HTD-hub-250593705388294/?ref=br_rs
======================================================
Follow me on twitter - https://twitter.com/PatelShalik
======================================================

Views: 6146
hindi tutorials darshan

How to solve 6x ≡ 4 (mod 10)
If you want to see how to solve a linear congruence using Euclid's Algorithm, see https://youtu.be/4-HSjLXrfPs

Views: 67950
Maths with Jay

#rsa #deffiehellman #cryptographylectures #lastmomenttuitions
Take the Full Course of Cryptography and Network Security
What we Provide
1) 20 Videos (Index is given down) + More Update will be Coming Before final exams
2)Hand made Notes with problems for your to practice
3)Strategy to Score Good Marks in Cryptography and Network Scurity
To buy the course click
https://goo.gl/mpbaK3
if you have any query email us at
[email protected]
Sample Notes : https://goo.gl/Ze1FpX
or Fill the form we will contact you
https://goo.gl/forms/2SO5NAhqFnjOiWvi2
Cryptography and System Security Index
Lecture 1 Introduction to Cryptography and Security System
Lecture 2 Security Goals and Mechanism
Lecture 3 Symmetric Cipher
Lecture 4 Substitution Cipher
Lecture 5 Transposition Cipher
Lecture 6 Stream and Block Cipher
Lecture 7 Mono Alphabetic Cipher
Lecture 8 Poly Alphabetic Cipher
Lecture 9 Diffie Hellman
Lecture 10 RSA Algorithm with Solved Example
Lecture 11 IDEA Algorithm Full Working
Lecture 12 SHA-1 Algorithm Full Working
Lecture 13 Blowfish Algorithm Full working
Lecture 14 DES Algorithm Full Working
Lecture 15 Confusion and Diffusion
Lecture 16 AES Algorithm Full working
Lecture 17 Kerberos
Lecture 18 Malicious Software ( Virus and worms )
Lecture 19 DOS and DDOS Attack
Lecture 20 Digital Signature Full working Explained
More videos Coming Soon.

Views: 315993
Last moment tuitions

Innovations in Algorithmic Game Theory
May 23rd, 2011
Hebrew University of Jerusalem
First session:
Micheal O. Rabin - Cryptography and Solutions for Matching Problems
Session Chair: Noam Nisan.

Views: 1067
Hebrew University of Jerusalem

Here we find a remainder using the powerful Fermat's Little Theorem.

Views: 12742
Joshua Helston

In the Department of Mathematical Sciences at Keio University, the Bannai Group, led by Professor Kenichi Bannai, is conducting research in number theory. Number theory, which deals with the properties of integers, is known as the "Queen of Mathematics." The Bannai Group is focused especially on arithmetic geometry.
Arithmetic geometry utilizes methods and results from algebraic geometry. In this field, number theoretical problems are investigated via the geometric properties of geometric objects defined by algebraic equations.
Q. "Humans perceive things in two ways, logically and intuitively. Logic involves calculating things precisely. On the other hand, when using intuition, especially geometric intuition, we look at a problem in a certain geometric way and immediately "know" the answer.
If one asks how this can be applied to problems in number theory, for example, consider the problem of finding rational solutions of the equation
x2 + y2 = 1. The problem of seeking rational solutions of an algebraic equation is a number theoretical problem. Geometry comes into the picture if one thinks of the equation x2 + y2 = 1 as expressing a unit circle.
When I use the word geometric intuition, what I mean is, it is much easier to solve this problem if one thinks that the equation x2 + y2 = 1 is not simply an algebraic equation but also that it represents a circle."
Using methods from arithmetic geometry, Andrew Wiles in 1995 solved the Fermat's Last Theorem, which had puzzled mathematicians for 300 years. Number theory can be applied for example to cryptography, which is an important practical application of number theory to society.
Q. "Because number theory concerns integers s -- 1, 2, 3, and so on -- one might think it's a very narrow field. At first, I also imagined that number theory was a very narrow topic; I wanted to do mathematics, but number theory did not seem all that interesting. But when I learned that problems in number theory were deeply related to geometry and also to analysis through various interesting analytic functions, I realized that number theory was a very deep field related to a wide range of areas in mathematics. That's what's fascinating about number theory. Rather than being superficial, because number theory deals with integers, which is a very fundamental object of study, it is deeply related to many interesting theories in the forefront of mathematics."
Since the dawn of civilization, numbers and equations were used to better understand natural phenomena. Through abstraction, mathematics has greatly expanded its range of application. The Bannai Group will continue to do research, in order to understand through logic and intuition abstract phenomena appearing in number theory.

Views: 5927
慶應義塾Keio University

• Counselling Guruji is our latest product & a well-structured program that answers all your queries related to Career/GATE/NET/PSU’s/Private Sector etc.
You can register for the program at: https://goo.gl/forms/ZmLB2XwoCIKppDh92
You can check out the brochure at: https://www.google.com/url?q=http://www.knowledgegate.in/guruji/counselling_guruji_brochure.pdf&sa=D&ust=1553069285684000&usg=AFQjCNFaTk4Pnid0XYyZoDTlAtDPUGcxNA
• Link for the complete playlist of Discrete Mathematics is:
Relations:https://www.youtube.com/playlist?list=PLmXKhU9FNesTpQNP_OpXN7WaPwGx7NWsq
Graph Theory: https://www.youtube.com/playlist?list=PLmXKhU9FNesS7GpOddHDX3ZCl86_cwcIn
Group Theory: https://www.youtube.com/playlist?list=PLmXKhU9FNesQrSgLxm6zx3XxH_M_8n3LA
Proposition:https://www.youtube.com/playlist?list=PLmXKhU9FNesQxcibunbD82NTQMBKVUO1S
Set Theory: https://www.youtube.com/playlist?list=PLmXKhU9FNesTSqP8hWDncxpCj8a4uzmu7
• Links for the books that we recommend for Discrete Mathematics are:
1. Discrete Mathematics and Its Applications (Writer: Kenneth Rosen) (Publisher: McGraw Hill Education)
https://amzn.to/2NV9viK
2. Graph Theory with Applications to Engineering and Computer Science (Writer: Deo Narsingh) (Publisher: Phi)
https://amzn.to/2NSiwcc
• Check out our website http://www.knowledgegate.in/
• Please spare some time and fill this form so that we can know about you and what you think about us:
https://goo.gl/forms/b5ffxRyEAsaoUatx2
• Your review/recommendation and some words can help validating our quality of content and work
so Please do the following: -
1) Give us a 5 star review with comment on Google
https://goo.gl/maps/sLgzMX5oUZ82
2) Follow our Facebook page and give us a 5 star review with comments
https://www.facebook.com/pg/knowledgegate.in/reviews
3) Follow us on Instagram
https://www.instagram.com/mail.knowledgegate/
4) Follow us on Quora
https://www.quora.com/profile/Sanchit-Jain-307
• Links for Hindi playlists of other Subjects are:
DBMS: https://www.youtube.com/playlist?list=PLmXKhU9FNesR1rSES7oLdJaNFgmuj0SYV
TOC: https://www.youtube.com/playlist?list=PLmXKhU9FNesSdCsn6YQqu9DmXRMsYdZ2T
OS: https://www.youtube.com/playlist?list=PLmXKhU9FNesSFvj6gASuWmQd23Ul5omtD
Digital Electronics: https://www.youtube.com/playlist?list=PLmXKhU9FNesSfX1PVt4VGm-wbIKfemUWK
Data Structures: https://www.youtube.com/playlist?list=PLmXKhU9FNesRRy20Hjr2GuQ7Y6wevfsc5
Computer Networks: https://www.youtube.com/playlist?list=PLmXKhU9FNesSjFbXSZGF8JF_4LVwwofCd
Algorithm: https://www.youtube.com/playlist?list=PLmXKhU9FNesQJ3rpOAFE6RTm-2u2diwKn
• About this video;
In this video you’ll be learning about the addition modulo and the multiplication modulo. This video discusses the basic definition and some practice problems on addition and multiplication modulo and will help in clearing your concepts of them.
Notes:
Addition Modulo / +m :
a +m b = 1) a + b, if y (a + b is less than m)
2) (a + b) – m, if (a + b ≥ m)
Multiplication Modulo / ×m:
a ×m b = 1) a × b, if (a × b is less than m)
2) (a × b) ٪, if (a × b ≥ m)
Practice Problem:
1. Find the inverse of the elements in {2,3,5,6}, +5
2. Find the inverse of the elements in {2,3,5,6}, ×5
addition modulo n, addition modulo 4, addition modulo 2, addition modulo 6, addition modulo and multiplication modulo in hindi, addition modulo example, addition modulo table, addition modulo in discrete mathematics, addition modulo 3, addition modulo m, modulo 2 addition binary, addition modulo group theory, addition modulo and multiplication modulo, addition modulo n group, addition and multiplication modulo n, addition of modulo, group under addition modulo n, what is addition modulo, addition modulo 26, modulo 2 addition, modulo 8 addition example multiplication modulo 7, multiplication modulo table, multiplication modulo n, multiplication modulo 6, multiplication modulo p, multiplication modulo 3, multiplication modulo 15, multiplication modulo n is well defined, multiplication modulo in discrete mathematics, table de multiplication modulo, group under multiplication modulo n, multiplication modulo m, multiplication modulo n group, addition and multiplication modulo n, multiplication of modulo, group theory multiplication modulo, multiplication modulo 10, multiplication modulo 5, multiplication table modulo 7, multiplication modulo 8, group theory nptel, group theory in hindi, group theory mathematics in hindi, group theory iit jam, group theory mit, group theory lectures, group nptel, group theory mathematics nptel, group theory algebra, group theory alok sir, group theory and algebra, group theory, group theory and chemistry- symmetry elements and symmetry operations, group theory and quantum mechanics, group theory applications, group theory all lectures, group theory by jaipal, group theory bsc, group theory by jaipal vishwakarma, group theory by nptel, group theory basics,

Views: 78223
KNOWLEDGE GATE

This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.

Views: 53113
James Hamblin

This video will explain you in detail how caesar cipher encryption and decryption technique works.
This video includes solved example for caesar cipher encryption and decryption algorithm on whiteboard.
I had explained in detail about difficulties student might face while solving example related to caesar cipher in their examination.
More videos about encryption algorithms, computer tips and tricks, ethical hacking are coming very soon so share this video with your friends.
Subscribe to my youtube channel so that you can know when I upload any new video.
See you all very soon in next video, have great days ahead.
Thanks for watching my video.
#caesar #encryption #decryption

Views: 33058
SR COMPUTER EDUCATION

This video shows you how to calculate the order of integers and how to find primitive roots.

Views: 19032
Cathy Frey

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

Views: 10815
Udacity

In this youtube channel, we are going to teach you the basic concepts of Cryptography and Network Security.
In this video, we have discussed how to solve Fermat's Little Theorem.
Visit Our Channel :- https://www.youtube.com/channel/UCxik...
Follow Smit Kadvani on:-
Facebook :- https://www.facebook.com/smit.kadvani
Instagram :- https://www.instagram.com/the_smit0507
Follow Dhruvan Tanna on :-
Facebook :- https://www.facebook.com/dhruvan.tanna1
Instagram :- https://www.instagram.com/dhru1_tanna
Follow Keyur Thakkar on:-
Facebook:- https://www.facebook.com/keyur.thakka...
Instagram :- https://www.instagram.com/keyur_1982
Snapchat :- keyur1610
Follow Ankit Soni on:-
Instagram :- https://www.instagram.com/ankit_soni1511
Answers : 7^14mod13 = 10
456^17mod17 = 14
9^12mod13=1

Views: 21239
Quick Trixx

Views: 4079
hindi tutorials darshan

This is a MAML (Maine Association of Math Leagues) problem from October 2011 (Meet 1 of 2011-12), Round 4, Problem 3: http://maml.net/problems.htm
Also, this was recorded with gtk-recordMyDesktop: http://recordmydesktop.sourceforge.net/about.php
The math writings were made on Emacs: https://www.gnu.org/software/emacs/
The Khan Academy modular arithmetic tutorial is here: https://www.khanacademy.org/computing/computer-science/cryptography/modarithmetic/
Turn on captions to understand the audio better.
Share this YouTube channel with the following link! https://bit.ly/nhmyoutubechannel
Condensed Writing Solution:
We must calculate the following:
23^15*47^17 modulo 5
By replacing 23 with 3 (23 is congruent to 3 modulo 5) and 47 with 2 (47 is congruent to 2 modulo 5) and splitting the modulos up over multiplication, we get the following:
3^15*2^17 modulo 5
(3^15 modulo 5)*(2^17 modulo 5)
(3 modulo 5)*(3^2 modulo 5)*(3^4 modulo 5)*(3^8 modulo 5)*(2 modulo 5)*(2^16 modulo 5)
3 modulo 5 is simply 3.
3^2 modulo 5 is 9 modulo 5 which is simply 4.
3^4 (3^2)^2 which is congruent to 4^2=16 modulo 5 which is congruent to 1 modulo 5.
Similarly, 3^8 is (3^4)^2 which is congruent to 1^2=1 modulo 5.
2 modulo 5 is simply 2.
2^16 is (2^8)^2 or 256^2 which is congruent to 1^2=1 modulo 5.
Thus, the above expression is equal to:
3*4*1*1*2*1 modulo 5
24 modulo 5
4 ANSWER

Views: 191
Noble Mushtak

If this video is confusing, be sure to check out our blog for the full solution transcript!
https://centerofmathematics.blogspot.com/2019/04/advanced-knowledge-problem-of-week-4-30.html

Views: 63
Worldwide Center of Mathematics