Base-dependent integer sequences

Transposable integer

The digits of some specific integers permute or shift cyclically when they are multiplied by a number n. Examples are: * 142857 × 3 = 428571 (shifts cyclically one place left) * 142857 × 5 = 714285 (shifts cyclically one place right) * 128205 × 4 = 512820 (shifts cyclically one place right) * 076923 × 9 = 692307 (shifts cyclically two places left) These specific integers, known as transposable integers, can be but are not always cyclic numbers. The characterization of such numbers can be done using repeating decimals (and thus the related fractions), or directly. (Wikipedia).

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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

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Algebraic numbers are countable

Transcendental numbers are uncountable, algebraic numbers are countable. There are two kinds of real numbers: The algebraic numbers (like 1, 3/4, sqrt(2)) and the transcendental numbers (like pi or e). In this video, I show that the algebraic numbers are countable, which means that there

From playlist Real Numbers

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Transcendental Functions 14 Derivative of Natural Log of x.mov

The first derivative of the natural log of x.

From playlist Transcendental Functions

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Transcendental Functions 14 Derivative of Natural Log of x Example 1.mov

Work through some examples of the first derivative of the natural log of x.

From playlist Transcendental Functions

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Quadratic Forms -- Number Theory 27

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From playlist Number Theory v2

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Quadratic Forms -- Number Theory 27

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From playlist Number Theory

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24. Linear Programming and Two-Person Games

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture focus

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

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Vectors and Vector Transposition — Topic 5 of Machine Learning Foundations

In this video from my Machine Learning Foundations series, I address the theory and notation of 1-dimensional tensors, also known as vector tensors. In addition, we’ll do some hands-on code exercises to create and transpose vector tensors in NumPy, TensorFlow and PyTorch, the leading Pytho

From playlist Linear Algebra for Machine Learning

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Haotian Jiang: Minimizing Convex Functions with Integral Minimizers

Given a separation oracle SO for a convex function f that has an integral minimizer inside a box with radius R, we show how to find an exact minimizer of f using at most • O(n(n + log(R))) calls to SO and poly(n,log(R)) arithmetic operations, or • O(nlog(nR)) calls to SO and exp(O(n)) · po

From playlist Workshop: Continuous approaches to discrete optimization

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Lecture 29 | The Fourier Transforms and its Applications

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues to lecture on the general stretch theorem and begins covering medical imaging. The Fourier transform is a tool for solving physical p

From playlist Lecture Collection | The Fourier Transforms and Its Applications

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Are they irrational? Transcendental? | Epic Math Time

Showing that a number is transcendental can be difficult. While π and e have a deep connection involving exponentiation, other combinations of them, like π + e, are not as well understood. Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epic

From playlist Latest Uploads

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Maximum Likelihood Estimation Examples

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Three examples of applying the maximum likelihood criterion to find an estimator: 1) Mean and variance of an iid Gaussian, 2) Linear signal model in

From playlist Estimation and Detection Theory

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Linear Algebra for the Standard C++ Library

Linear algebra is a mathematical discipline of ever-increasing importance in today's world, with direct application to a wide variety of problem domains, such as signal processing, computer graphics, medical imaging, machine learning, data science, financial modeling, and scientific simula

From playlist C++

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Keith Conrad - Prime Factorization From Euclid to Noether

This talk was part of Number Theory Day 2023, at UConn. More information about the event can be found here: https://alozano.clas.uconn.edu/number-theory-day/

From playlist Number Theory Day

Related pages

Cyclic number | Radix | Greatest common divisor | Full reptend prime | Vinculum (symbol) | Cyclic permutation | Duodecimal | Parasitic number | Repeating decimal