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).
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
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
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
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
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
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
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
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
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
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
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
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
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
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
"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
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
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
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
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From playlist Exponential and Logarithmic Expressions and Equations
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