In mathematics, in the area of wavelet analysis, a refinable function is a function which fulfils some kind of self-similarity. A function is called refinable with respect to the mask if This condition is called refinement equation, dilation equation or two-scale equation. Using the convolution (denoted by a star, *) of a function with a discrete mask and the dilation operator one can write more concisely: It means that one obtains the function, again, if you convolve the function with a discrete mask and then scale it back.There is a similarity to iterated function systems and de Rham curves. The operator is linear.A refinable function is an eigenfunction of that operator.Its absolute value is not uniquely defined.That is, if is a refinable function,then for every the function is refinable, too. These functions play a fundamental role in wavelet theory as scaling functions. (Wikipedia).
Comparing Iterative and Recursive Factorial Functions
Comparing iterative and recursive factorial functions
From playlist Computer Science
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
Transcendental Functions 3 Examples using Properties of Logarithms.mov
Examples using the properties of logarithms.
From playlist Transcendental Functions
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
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
Transcendental Functions 13 Derivatives of a Function and its Inverse.mov
The first derivative of a function and the inverse of that function.
From playlist Transcendental Functions
Transcendental Functions 18 More Examples 1.mov
More example problems.
From playlist Transcendental Functions
Transcendental Functions 11 Inverse Functions Part 1.mov
Moving on in our study of transcendental functions, we look at the inverse of a function.
From playlist Transcendental Functions
Substructural Type Theory - Zeilberger
Noam Zeilberger IMDEA Software Institute; Member, School of Mathematics March 22, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Tzanio Kolev - Meso and Macroscale Modeling 1 - IPAM at UCLA
Recorded 15 March 2023. Tzanio Kolev of Lawrence Livermore National Laboratory presents "Meso and Macroscale Modeling 1" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematic
From playlist 2023 New Mathematics for the Exascale: Applications to Materials Science Tutorials
Charles Fefferman : Whitney problems and real algebraic geometry
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 Analysis and its Applications
Analysis III - Integration: Oxford Mathematics 1st Year Student Lecture:
The third in our popular series of filmed student lectures takes us to Integration. This is the opening lecture in the 1st Year course. Ben Green both links the course to the mathematics our students have already learnt at school and develops that knowledge, taking the students to the next
From playlist Oxford Mathematics 1st Year Student Lectures
Tuukka Korhonen: Fast FPT-Approximation of Branchwidth
Branchwidth determines how graphs, and more generally, arbitrary connectivity (basically symmetric and submodular) functions could be decomposed into a tree-like structure by specific cuts. We develop a general framework for designing fixed-parameter tractable (FPT) 2-approximation algorit
From playlist Workshop: Parametrized complexity and discrete optimization
Rob Stevenson: Adaptive numerical solution methods for PDEs
After an introductory part explaining the potential of adaptive methods, we discuss a posteriori error estimation for finite element discretizations of elliptic PDEs, newest vertex bisection, and present the adaptive finite element loop. The lecture was held within the framework of the Ha
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Math 131 112116 Uniform Convergence and Integration
Quick introduction to Riemann integrability: partitions, upper and lower sums, upper and lower Riemann integrals, Riemann integrals. Definition: refinement of a partition; common refinement of two partitions. Observation: lower (upper) sums increase (decrease) for a refinement. Theorem:
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Computational Methods for Numerical Relativity, Part 3 Frans Pretorius
Computational Methods for Numerical Relativity, Part 3 Frans Pretorius Princeton University July 22, 2009
From playlist PiTP 2009
Jiun-Shyan Chen: Fracture to Damage Multiscale Mechanics and Modeling of Brittle Materials
Jiun-Shyan Chen: Fracture to Damage Multiscale Mechanics and Modeling of Brittle Materials The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Non-local Material Models and Concurrent Multiscale Methods. (3 - 7.04.2017) The failur
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Transcendental Functions 18 More Examples 2.mov
More example problems.
From playlist Transcendental Functions
Real Analysis | Refinements of partitions.
We introduce the notion of a refinement of a partition, give an example, and prove a few results related to the lower and upper sum. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http:/
From playlist Real Analysis