Binary arithmetic | Calculus | Logarithms
In mathematics, the binary logarithm (log2 n) is the power to which the number 2 must be raised to obtain the value n. That is, for any real number x, For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the binary logarithm of 32 is 5. The binary logarithm is the logarithm to the base 2 and is the inverse function of the power of two function. As well as log2, an alternative notation for the binary logarithm is lb (the notation preferred by ISO 31-11 and ISO 80000-2). Historically, the first application of binary logarithms was in music theory, by Leonhard Euler: the binary logarithm of a frequency ratio of two musical tones gives the number of octaves by which the tones differ. Binary logarithms can be used to calculate the length of the representation of a number in the binary numeral system, or the number of bits needed to encode a message in information theory. In computer science, they count the number of steps needed for binary search and related algorithms. Other areasin which the binary logarithm is frequently used include combinatorics, bioinformatics, the design of sports tournaments, and photography. Binary logarithms are included in the standard C mathematical functions and other mathematical software packages.The integer part of a binary logarithm can be found using the find first set operation on an integer value, or by looking up the exponent of a floating point value.The fractional part of the logarithm can be calculated efficiently. (Wikipedia).
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
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 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
Evaluate a Natural Logarithm Without a Calculator
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says 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). Natural logarithms (ln or log to base e) are simply loga
From playlist How to Evaluate Natural Logarithms
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
Order and Conquer: Binary Search
Today, we will look at a first simple but very useful algorithm: Binary Search. We will understand how it works, why it is so fast and what things we can do with it. 00:00 Prologue: Can we find the maximum or duplicates any faster? 02:52 How does Binary Search work? 05:02 Implementation 0
From playlist All About Algorithms
Big O Part 4 – Logarithmic Complexity
The raw performance of an algorithm, program, or a programmatic operation depends on a number of factors such, not least the computer it’s running on. Big O is not concerned with this; Big O describes the way the time taken by a program (or memory or space usage) depends on the amount of
From playlist Big O Complexity
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From playlist Exponential and Logarithmic Expressions and Equations
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2 Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Arithmetic With... Continued Fractions?? #SoME2
Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math. This is my submission for SoME2 (https://www.youtube.com/watch?v=hZuYICAEN9Y&t=0s) SOURCES & FURTHER READING: Continued
From playlist Summer of Math Exposition 2 videos
In this video, we are trying to get a better intuition for what it means if some algorithm has particular time or space requirements in big O notation. In doing so, we will learn what time complexity means, look at typical running times of algorithms and consider if there might be alternat
From playlist All About Algorithms
Fibonacci Heaps or "How to invent an extremely clever data structure"
I want to tell you about a daunting, but truly fascinating data structure. At first sight, Fibonacci Heaps can seem intimidating. In this video, I'm going to show you all the necessary steps to invent a really clever data structure. 00:00 Introduction 00:50 Priority Queues and Binary Heap
From playlist Advanced Algorithms/Data Structures
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
We can describe the efficiency of an algorithm, program, or a programmatic operation, in terms of the time it takes, the amount of memory it uses, or the amount of secondary storage space it needs to do its work. However, these performance measures depend on a number of factors, not least
From playlist Big O Complexity
Martin Bridson - Subgroups of direct products of surface groups
After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finite
From playlist Geometry in non-positive curvature and Kähler groups
Michael Drmota: (Logarithmic) densities for automatic sequences along primes and squares
CIRM VIRTUAL CONFERENCE Recorded during the meeting "​ Diophantine Problems, Determinism and Randomness" the November 23, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
This video defines a logarithms and provides examples of how to convert between exponential equations and logarithmic equations. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
From playlist Algorithms 1
Using Properties of Logs to Evaluate Simple Logarithms
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says 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). Natural logarithms (ln or log to base e) are simply loga
From playlist How to Evaluate Natural Logarithms