Logarithms

Gaussian logarithm

In mathematics, addition and subtraction logarithms or Gaussian logarithms can be utilized to find the logarithms of the sum and difference of a pair of values whose logarithms are known, without knowing the values themselves. Their mathematical foundations trace back to and Carl Friedrich Gauss in the early 1800s. The operations of addition and subtraction can be calculated by the formula: where , , the "sum" function is defined by , and the "difference" function by . The functions and are also known as Gaussian logarithms. For natural logarithms with the following identities with hyperbolic functions exist: This shows that has a Taylor expansion where all but the first term are rational and all odd terms except the linear one are zero. The simplification of multiplication, division, roots, and powers is counterbalanced by the cost of evaluating these functions for addition and subtraction. (Wikipedia).

Gaussian logarithm
Video thumbnail

Ex: Determine the Value of a Number on a Logarithmic Scale (Log Form)

This video explains how to determine the value of several numbers on a logarithmic scale scaled in logarithmic form. http://mathispower4u.com

From playlist Using the Definition of a Logarithm

Video thumbnail

What is a Logarithm : Logarithms, Lesson 1

This tutorial explains a practical way to think about logarithms. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist All About Logarithms

Video thumbnail

What are natural logarithms and their properties

👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a negative number is not defined. (i.e. it is no

From playlist Rules of Logarithms

Video thumbnail

Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A

Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys

From playlist Logarithmic Equations

Video thumbnail

What are the properties of logarithms and natural logarithms

👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a negative number is not defined. (i.e. it is no

From playlist Rules of Logarithms

Video thumbnail

Properties of Logarithms : Logarithms, Lesson 5

This tutorial shows how a logarithm containing a product in its argument can be written as a sum of two logarithms, and how a logarithms of a quotient can be written as a subtraction of two logarithms. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTk

From playlist All About Logarithms

Video thumbnail

Solving a logarithim, log81 (x) = 3/4

👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i

From playlist Solve Logarithmic Equations

Video thumbnail

Solving a natural logarithmic equation using your calculator

👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i

From playlist Solve Logarithmic Equations

Video thumbnail

Isolating a logarithm and using the power rule to solve

👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i

From playlist Solve Logarithmic Equations

Video thumbnail

Multi-mode Correlations in Turbulence by Gregory Falkovich

PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE: 16 January 2023 to 27 January 2023 VENUE: Ramanuja

From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023

Video thumbnail

Disorder-generated multifractals and random matrices: freezing phenomena and extremes - Yan Fyodorov

Yan Fyodorov Queen Mary University of London October 3, 2013 I will start with discussing the relation between a class of disorder-generated multifractals and logarithmically-correlated random fields and processes. An important example of the latter is provided by the so-called "1/f noise"

From playlist Mathematics

Video thumbnail

The ubiquity of logarithmically correlated fields and their extremes by Ofer Zeitouni

DISTINGUISHED LECTURES THE UBIQUITY OF LOGARITHMICALLY CORRELATED FIELDS AND THEIR EXTREMES SPEAKER: Ofer Zeitouni (Weizmann Institute of Science, Israel & New York University, USA) DATE: 05 January 2023, 15:30 to 16:30 VENUE: Ramanujan Lecture Hall Title:: The ubiquity of logarithmic

From playlist DISTINGUISHED LECTURES

Video thumbnail

Statistical Equilibrium of Circulating Fluids by Alexander Migdal

PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj

From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023

Video thumbnail

Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method

We prove Stirling's Formula that approximates n! using Laplace's Method. â–ºGet my favorite, free calculator app for your phone or tablet: MAPLE CALCULATOR: https://www.maplesoft.com/products/maplecalculator/download.aspx?p=TC-9857 â–ºCheck out MAPLE LEARN for your browser to make beautiful gr

From playlist Cool Math Series

Video thumbnail

"Mandelbrot cascades and their uses" - Anti Kupiainen

Anti Kupiainen University of Helsinki November 4, 2013 For more videos, check out http://www.video.ias.edu

From playlist Mathematics

Video thumbnail

Grigorios Paouris: Non-Asymptotic results for singular values of Gaussian matrix products

I will discuss non-asymptotic results for the singular values of products of Gaussian matrices. In particular, I will discuss the rate of convergence of the empirical measure to the triangular law and discuss quantitive results on asymptotic normality of Lyapunov exponents. The talk is bas

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

Video thumbnail

Self-avoiding walk in dimension 4 - Roland Bauerschmidt

Self-avoiding walk in dimension 4 - Roland Bauerschmidt Roland Bauerschmidt University of British Columbia; Member, School of Mathematics January 28, 2014 The (weakly) self-avoiding walk is a basic model of paths on the d-dimensional integer lattice that do not intersect (have few interse

From playlist Mathematics

Video thumbnail

Tom Claeys: Optimal global rigidity estimates in unitary invariant ensembles

A fundamental question in random matrix theory is to understand how much the eigenvalues of a random matrix fluctuate. I will address this question in the context of unitary invariant ensembles, by studying the global rigidity of the eigenvalues, or in other words the maximal deviation of

From playlist Probability and Statistics

Video thumbnail

Logarithms

http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

Video thumbnail

Why is the most common total of two dice 7? A *Very* Deep Look

Created by Arthur Wesley and Jack Samoncik This video is an informal mathematical proof of the central limit theorem, using the sums of an arbitrary number of dice as an example Music: Chapter 1: https://www.youtube.com/watch?v=eFpJRGB32Ss Chapter 2: https://www.youtube.com/watch?v=g1pS0

From playlist Summer of Math Exposition 2 videos

Related pages

Zech's logarithm | Carl Friedrich Gauss | Logarithmic number system | Addition | Decimal logarithm | Natural logarithm | Logarithm | Subtraction | Haversine | Artificial neural network