Field (mathematics)

Function field sieve

In mathematics the Function Field Sieve is one of the most efficient algorithms to solve the Discrete Logarithm Problem (DLP) in a finite field. It has heuristic subexponential complexity. Leonard Adleman developed it in 1994 and then elaborated it together with M. D. Huang in 1999.Previous work includes the work of D. Coppersmith about the DLP in fields of characteristic two. The discrete logarithm problem in a finite field consists of solving the equation for , a prime number and an integer. The function for a fixed is a one-way function used in cryptography. Several cryptographic methods are based on the DLP such as the Diffie-Hellman key exchange, the El Gamal cryptosystem and the Digital Signature Algorithm. (Wikipedia).

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11_7_1 Potential Function of a Vector Field Part 1

The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat

From playlist Advanced Calculus / Multivariable Calculus

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Functions of equations - IS IT A FUNCTION

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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What is a function?

This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.

From playlist Foundational Math

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Introduction to Functions (Discrete Math)

This video introduces function for a discrete math class.

From playlist Functions (Discrete Math)

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Determine if the equation represents a function

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Domain and range of a function tutorial

Free ebook http://tinyurl.com/EngMathYT This video shows how to determine the domain and range of a function. Such ideas are seen in high school and first year univesity.

From playlist A first course in university mathematics

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Determine the domain, range and if a relation is a function

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Jens Hemelaer: Toposes in arithmetic noncommutative geometry

Talk by Jens Hemelaer in Global Noncommutative Geometry Seminar (Americas) on February 5, 2021

From playlist Global Noncommutative Geometry Seminar (Americas)

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D. Loughran - Sieving rational points on algebraic varieties

Sieves are an important tool in analytic number theory. In a typical sieve problem, one is given a list of p-adic conditions for all primes p, and the challenge is to count the number of integers which satisfy all these p-adic conditions. In this talk we present some versions of sieves for

From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes

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Domain and Range of a function. An Example: Dr Chris Tisdell Live Stream

What is the domain and range of a function? Why is it useful and how do I calculate it? I will answer these questions in this video by solving an example. In mathematics, functions are an important tool for understanding how things depend on one another. To make sure our functions are

From playlist Calculus for Beginners

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How to determine if an ordered pair is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Chantal David: Distributions of Frobenius of elliptic curves #2

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Jean-Morlet Chair - Shparlinski/Kohel

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Why Are Prime Numbers So Weird?

No matter how much or little math you know, you must have come across prime numbers and asked yourself: "Why are prime numbers so weird?" 0:00 Why are prime numbers so weird? 0:17 They are unintuitive 0:52 Challenging their unintuitiveness 1:13 What are prime numbers? 1:38 Unconventional

From playlist Summer of Math Exposition Youtube Videos

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The Selberg Sieve and Large Sieve (Lecture 4) by Satadal Ganguly

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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Laurent Lafforgue - 1/4 Classifying toposes of geometric theories

Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/LafforgueSlidesToposesOnline.pdf The purpose of these lectures will be to present the theory of classifying topose

From playlist Toposes online

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Gaps between Primes (extra footage) - Numberphile

More links & stuff in full description below ↓↓↓ Main video at: http://youtu.be/vkMXdShDdtY Brown papers available: http://bit.ly/brownpapers Prime number playlist: http://bit.ly/11kSUmF Featuring Ed Copeland and Tony Padilla (with a very non-expert intro by Brady). NUMBERPHILE Website:

From playlist Numberphile Videos

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CTNT 2020 - Computations in Number Theory (by Alvaro Lozano-Robledo) - Lecture 2

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Computations in Number Theory Research

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Emmanuel Kowalski: The Art of Sieving [2008]

Slides for this lecture: https://drive.google.com/file/d/1TdV_WiXUWNYJH0Q2J6d4mSzByk3QpjAp/view?usp=sharing Emmanuel Kowalski ETH Zurich The Art of Sieving Date: 2008/10/08 http://www.podcast.ethz.ch/episodes/?id=1027

From playlist Number Theory

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29C3: FactHacks (EN)

Speakers: djb | Nadia Heninger | Tanja Lange RSA factorization in the real world RSA is the dominant public-key cryptosystem on the Internet. This talk will explain the state of the art in techniques for the attacker to figure out your secret RSA keys. A typical 1024-bit RSA public key

From playlist 29C3: Not my department

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Determine if a Relation is a Function

http://mathispower4u.wordpress.com/

From playlist Intro to Functions

Related pages

Field of fractions | Finite field | Valuation ring | Transcendence degree | Smooth number | Absolute value (algebra) | Valuation (algebra) | Digital Signature Algorithm | Cryptography | Sub-exponential time | One-way function | Mathematics | Global field | Index calculus algorithm | Algebraic function field | Gray code | L-notation | Algebraic curve | Coppersmith method