Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
Multivariable maxima and minima
A description of maxima and minima of multivariable functions, what they look like, and a little bit about how to find them.
From playlist Multivariable calculus
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
11_2_1 The Geomtery of a Multivariable Function
Understanding the real-life 3D meaning of a multivariable function.
From playlist Advanced Calculus / Multivariable Calculus
Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.
From playlist Determining Inverse Functions
How to Evaluate a Multivariable Function Defined by an Integral
How to Evaluate a Multivariable Function Defined by an Integral If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3
RubyConf 2019 - The Functional Rubyist by Joe Leo
RubyConf 2019 - The Functional Rubyist by Joe Leo Functional programming’s popularity is on the rise and support for FP is growing in Ruby. But can you really write functional code in Ruby? More importantly, why should you? Learn how Ruby enables functional programming concepts while main
From playlist RubyConf 2019
Real Zeros, Factors, and Graphs of Polynomial Functions
This video explains the connection between zero, factors, and graphs of polynomial functions.
From playlist Finding the Zeros of Polynomial Functions
October 24, 2019, Kisun Lee Georgia Tech @ NYU
Original video of the talk is available here: https://youtu.be/rQa8jCOj2qA Title: Certifying solutions to a square analytic system Abstract: In this talk, we discuss about methods for proving existence and uniqueness of a root of a square analytic system in a given region. For a regular
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
October 24, 2019, Kisun Lee, Georgia Tech @ NYU
Slides are available at https://youtu.be/chp1O8qOdQ0 Title: Certifying solutions to a square analytic system Abstract: In this talk, we discuss about methods for proving existence and uniqueness of a root of a square analytic system in a given region. For a regular root, Krawczyk method
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter
Joint IAS/Princeton University Number Theory Seminar Topic: Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative actions Speaker: Florian Richter Affiliation: Northwestern University Date: June 4, 2020 For more video please visit http://vi
From playlist Mathematics
Certifying Solutions to a Square Analytic System, Courant Institute of Mathematical Sciences, joint with CUNY Graduate Center Symbolic-Numeric Computing Seminar.
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
FIT3.2.2. Mobius Inversion Formula
Typo: At 14:36: Use variable other than k (say K) for the induction variable. Keep k as a generic exponent. Field Theory/Number Theory: We state and prove the Mobius Inversion Formula. We apply the formula to several examples, including cyclotomic polynomials and the Euler totient func
From playlist Abstract Algebra
Inequalities with Rational Functions (Precalculus - College Algebra 47)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to determine the interval of the solution set for inequalities with rational functions. Focus will be on using multiplicity of x-intercepts and vertical asymptotes to dete
From playlist Precalculus - College Algebra/Trigonometry
MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 2)
In this lecture I introduced the algebra structure on spaces of real-valued functions, and proved the Stone-Weierstrass theorem about dense subalgebras of this algebra. Lecture notes: http://therisingsea.org/notes/mast30026/lecture16.pdf The class webpage: http://therisingsea.org/post/mas
From playlist MAST30026 Metric and Hilbert spaces
What is the domain of the product of a square root and reciprocal function
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We will then simplify the product and determine the domai
From playlist How to Multiply Functions