Functions and mappings | Linear algebra
In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformation just as twisting and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in x and y for all z with constants as in: let a and b be functions of z so that: An example of a linear taper is , and a quadratic taper . As another example, if the parametric equation of a cube were given by ƒ(t) = (x(t), y(t), z(t)), a nonlinear taper could be applied so that the cube's volume slowly decreases (or tapers) as the function moves in the positive z direction. For the given cube, an example of a nonlinear taper along z would be if, for instance, the function T(z) = 1/(a + bt) were applied to the cube's equation such that ƒ(t) = (T(z)x(t), T(z)y(t), T(z)z(t)), for some real constants a and b. (Wikipedia).
Maths for Programmers: Introduction (What Is Discrete Mathematics?)
Transcript: In this video, I will be explaining what Discrete Mathematics is, and why it's important for the field of Computer Science and Programming. Discrete Mathematics is a branch of mathematics that deals with discrete or finite sets of elements rather than continuous or infinite s
From playlist Maths for Programmers
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Discrete Math - 2.4.2 Recurrence Relations
What is a recurrence relation, and how can we write it as a closed function? Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Linear Algebra for Computer Scientists. 4. Scalar Multiplication of Vectors
This computer science video is the fourth in a series about linear algebra for computer scientists. In this video you will learn how to multiply a vector by a scalar quantity, that is, by a number. You will see that multiplying a vector by a positive scalar results in a new vector with a
From playlist Linear Algebra for Computer Scientists
An introduction to Beamforming
This video talks about how we actually have more control over the shape of the beam than just adding additional elements or adjusting the position and orientation of the elements. We can also adjust the gain of the signal to each element and apply phase unevenly to each element, and that
From playlist Understanding Phased Array Systems and Beamforming
Suhasini Subba Rao: Reconciling the Gaussian and Whittle Likelihood with an application to ...
In time series analysis there is an apparent dichotomy between time and frequency domain methods. The aim of this paper is to draw connections between frequency and time domain methods. Our focus will be on reconciling the Gaussia likelihood and the Whittle likelihood. We derive an exact,
From playlist Virtual Conference
Ask Adam Savage: Ark of the Covenant Replicas and Duct Tape Bullwhips
In this live stream excerpt, Adam answers questions from Tested members KronicSE, Kristina Hall and Michael Partlow about the Neistat brothers, duct tape bullwhips and Ark of the Covenant replicas. Thank you for your questions and support, Kronic, Kristina and Michael! Join this channel to
From playlist Adam Savage's Live Streams
13: Spectral Analysis Part 3 - Intro to Neural Computation
MIT 9.40 Introduction to Neural Computation, Spring 2018 Instructor: Michale Fee View the complete course: https://ocw.mit.edu/9-40S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61I4aI5T6OaFfRK2gihjiMm A brief review of Fourier transforms, spectral estimation, wind
From playlist MIT 9.40 Introduction to Neural Computation, Spring 2018
Advances in Quantum Spectral Estimation - L. Viola - PRACQSYS 2018 - CEB T2 2018
Lorenza Viola (Department of Physics and Astronomy, Dartmouth College, Hanover, USA) / 03.07.2018 Advances in Quantum Spectral Estimation Accurately characterizing the spectral properties of environmental noise in open quantum systems is both a prerequisite for quantitative modeling and
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
SHOP TIPS #204 Tubalcain Makes a Crank Adapter for the Bridgeport Pt 2
http://www.mrpete222.com/ In this 2 part video, tubalcain makes a crank adapter for the BRIDGEPORT MILL. This is a lazy man's way of moving the knee up and down under power. Check out my 1400 other shop videos! If you wish to have plans for this project, simply email my friend toly. He mak
From playlist #3 MACHINE SHOP TIPS tubalcain playlist #201 thru #300
Mathematics of Deep Learning: Convolutions- Session 6
Convolutions Smoothing/Binning functions: Hann Kernel
From playlist Introduction to Mathematics of Deep Learning
This video explains what is taught in discrete mathematics.
From playlist Mathematical Statements (Discrete Math)
Gathering 4 Gardner (G4G) is a conference, a foundation, and a community of people who have a strong personal connection to the late Martin Gardner, who wrote a regular column for Scientific American over a period of 30 years. He also wrote over 100 books, and inspired many people. G4G ha
From playlist G4G12 Videos
THE BASICS: Contour Line-The Great Descriptor Part 1
Marc discusses and demonstrates the importance of contour line, in theory, application, and in a still life object demonstration. Set to 1440.
From playlist THE BASICS
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Aubrey de Grey on his Mathematics Research and Longevity | Hadwiger- Nelson Problem.
I got lucky to have Dr. de Grey talk to me about his mathematics research and his academic life in general. In 2018, he proved that the chromatic number of a plane should be at least 5. The original paper can be found here: https://arxiv.org/abs/1804.02385 You can contact Aubrey via thi
From playlist Interviews