Integer sequences

Blum integer

In mathematics, a natural number n is a Blum integer if n = p ร— q is a semiprime for which p and q are distinct prime numbers congruent to 3 mod 4. That is, p and q must be of the form 4t + 3, for some integer t. Integers of this form are referred to as Blum primes. This means that the factors of a Blum integer are Gaussian primes with no imaginary part. The first few Blum integers are 21, 33, 57, 69, 77, 93, 129, 133, 141, 161, 177, 201, 209, 213, 217, 237, 249, 253, 301, 309, 321, 329, 341, 381, 393, 413, 417, 437, 453, 469, 473, 489, 497, ... (sequence in the OEIS) The integers were named for computer scientist Manuel Blum. (Wikipedia).

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What is the multiplicity of a zero?

๐Ÿ‘‰ Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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Classify a polynomial then determining if it is a polynomial or not

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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Determining if a equation is a polynomial or not

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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fx+y = fx + fy

In this video, I find all functions f that satisfy f(x+y) = f(x) + f(y). Enjoy this amazing adventure through calculus, analysis, and linear algebra. Enjoy! f(x+y) = f(x)f(y): https://www.youtube.com/watch?v=s6jF5jPl_Z4 Press fff to pay respects: https://www.youtube.com/watch?v=-Fk6GRAAM

From playlist Real Analysis

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The Search for Randomness | Jean Bourgain

March 25, 2009 Jean Bourgain, IBM von Neumann Professor, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/bourgain Although the concept of randomness is ubiquitous, it turns out to be difficult to generate a truly random sequence of events

From playlist Mathematics

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Faulhaber's polynomials via Excel | Algebraic Calculus One | Anna Tomskova

Dr Anna Tomskova shows how Excel is a powerful tool for generating important mathematical sequences and objects -- in this case the Faulhaber polynomials that capture the sums of powers of natural numbers, and that contain the Bernoulli numbers as coefficients. Excel is not just oriented

From playlist Algebraic Calculus One

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NYC Tech Talk Series: How Google Backs Up the Internet

Google Tech Talk October 22, 2013 (more info below) Presented by Raymond Blum ABSTRACT Systems like GMail and Picasa keep massive amounts of data in the cloud, all of which has to be constantly backed up to prepare for the inevitable. Typical backup and recovery techniques don't scale, s

From playlist Google NYC Tech Talks

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Tutorial 01 for Arduino: Getting Acquainted with Arduino

New Episodes each Monday! You can download the parts list and the code from this episode on my website: http://jeremyblum.com/2011/01/02/arduino-tutorial-series-it-begins/ This tutorial series is sponsored by element14. Check out their arduino group! http://www.element-14.com/comm

From playlist Tutorial Series for Arduino

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Is it a polynomial with two variables

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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Calculus of Variations ft. Flammable Maths

Flammable Maths: https://www.youtube.com/channel/UCtAIs1VCQrymlAnw3mGonhw Leibnitz Rule: https://www.youtube.com/watch?v=wkh1Y7R1sOw This video is an introduction to the calculus of variations. We go over what variational calculus is trying to solve, and derive the Euler-Lagrange equatio

From playlist Analysis

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What is a polynomial function

๐Ÿ‘‰ Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

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17. The Popular Front

France Since 1871 (HIST 276) A plethora of Far Right and fascist organizations emerged in the wake of World War I. Economic depression, nationalism, anti-Semitism and xenophobia all played a part in this upsurge. On the left, the tension between communist revolutionaries and socialist r

From playlist France Since 1871 with John Merriman

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Learn how to identify if a function is a polynomial and identify the degree and LC

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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Ten Minute History - World War 2: Free and Vichy France (Short Documentary)

Twitter: https://twitter.com/Tenminhistory Patreon: https://www.patreon.com/user?u=4973164 Merch: https://teespring.com/stores/ten-minute-historys-store Field of Flowers caption was made my 'Joshua' in this episode. Special Thanks to the following Patrons for their support on Patreon: Fr

From playlist Ten Minute World History

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Fermi Ma - Post-Quantum Proof Techniques, Part 1: Introduction to Quantum Rewinding - IPAM at UCLA

Recorded 28 July 2022. Fermi Ma of the University of California, Berkeley, presents "Post-Quantum Proof Techniques, Part 1: Introduction to Quantum Rewinding" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: Will cryptography survive quantum adversaries? Ba

From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography

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Tutorial 04 for Arduino: Analog Inputs

New Episodes each Monday! You can download the parts list, code, and schematics from this episode on my website: http://jeremyblum.com/2011/01/24/arduino-tutorial-4-analog-inputs Watch my TechBits Episode on Analog and Digital Signals: http://www.youtube.com/watch?v=Z3rsO912e3I S

From playlist Tutorial Series for Arduino

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2019 Distinguished Alumnus - F. Blum - 5/18/2019

Distinguished Alumnus Fred A. Blum (MS '64, PhD '68, Physics), Chief Executive Officer, Trilience Research. The 82nd Annual Seminar Day was part of Caltech's Alumni Reunion Weekend held May 16 - 19, 2019. Learn more about the Caltech Alumni Association: http://www.alumni.caltech.edu Pr

From playlist Caltech Alumni Seminar Day

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Early forensics and crime-solving chemists - Deborah Blum

View full lesson: http://ed.ted.com/lessons/early-forensics-and-crime-solving-chemists-deborah-blum In a CSI age, we take forensic science for granted. New York did not have a medical examiner or forensic toxicologist until 1918, whose eventual arrival changed the landscape of crime inves

From playlist TEDYouth Talks

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What is multiplicity and what does it mean for the zeros of a graph

๐Ÿ‘‰ Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Related pages

Prime number | Semiprime | Jacobi symbol | Gaussian integer | Natural number | Mathematics | Quadratic residue | Modular arithmetic