In information theory, the error exponent of a channel code or source code over the block length of the code is the rate at which the error probability decays exponentially with the block length of the code. Formally, it is defined as the limiting ratio of the negative logarithm of the error probability to the block length of the code for large block lengths. For example, if the probability of error of a decoder drops as , where is the block length, the error exponent is . In this example, approaches for large . Many of the information-theoretic theorems are of asymptotic nature, for example, the channel coding theorem states that for any rate less than the channel capacity, the probability of the error of the channel code can be made to go to zero as the block length goes to infinity. In practical situations, there are limitations to the delay of the communication and the block length must be finite. Therefore, it is important to study how the probability of error drops as the block length go to infinity. (Wikipedia).
What are the rules of exponents and the most common mistakes with the rules
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
How Does the Rules of Exponents Allows to Multiply and Divide by Monomials
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
Applying the rules of exponents to simplify an expression with numbers
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
Simplifying expressions with negative exponents, y^-4, (4/5)^-2
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
What is the product of powers of exponents
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
Simplifying Expressions by Using the Product Rule of Exponents
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
Simplifying Expressions with Negative Exponents
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
Simplify Exponents Using Product and Quotient
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
The Universal Relation Between Exponents in First-Passage Percolation - Sourav Chatterjee
Sourav Chatterjee Courant Institute; NYU October 18, 2011 It has been conjectured in numerous physics papers that in ordinary first-passage percolation on integer lattices, the fluctuation exponent \chi and the wandering exponent \xi are related through the universal relation \chi=2\xi -1,
From playlist Mathematics
Binary 7 β Floating Point Binary Addition
This is the seventh in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers adding together floating point binary numbers for a given sized mantissa and exponent, both in twoβs complement.
From playlist Binary
Numerical Approach to Dissipative Weak Solutions to the Euler Equations by Takeshi Matsumoto
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la CΓ΄te d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
What is the Zero Power Property of Exponents
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
Binary 8 β Floating Point Binary Subtraction
This is the eighth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers subtraction of floating point binary numbers for a given sized mantissa and exponent, both in twoβs complement.
From playlist Binary
Deviation Spectrum of Ergodic Integrals for Locally Hamiltonian Flows on Surfaces- Krzysztof Fraczek
Special Year Research Seminar Topic: Deviation Spectrum of Ergodic Integrals for Locally Hamiltonian Flows on Surfaces Speaker: Krzysztof Fraczek Affiliation: Nicolaus Copernicus University Date: November 08, 2022 The talk will consists of a long historical introduction to the topic of
From playlist Mathematics
Non-Newtonian fluids and convex integration - Stefano Modena
Workshop on Recent developments in incompressible fluid dynamics Topic: Non-Newtonian fluids and convex integration Speaker: Stefano Modena Affiliation: TU Darmstadt Date: April 07, 2022 The viscosity of a fluid is usually a constant, independent of the stress. There are however in natur
From playlist Mathematics
MegaFavNumbers | The magic number and the legendary fast inverse square root hack.
Hi! I'm Rodrigo Aldana. This is my contribution to the #MegaFavNumbers project. This video is based on a presentation I gave some time ago about the fast inverse square root algorithm but now focused on the related magic number 1597463007. I want to make something clear: 1597463007 is not
From playlist MegaFavNumbers
Top 3 Mistakes Students Make With Powers and Exponents - MUST KNOW!
Math students tend to make a lot of mistakes when working with powers and exponents. The video will explain the top 3 mistakes math students make with powers and exponents and more importantly how to avoid these common math errors. TabletClass Math Academy Math Courses: https://tabletclas
From playlist GED Prep Videos
Physical insights from a numerical simulation of the dissipative Euler flow by Takeshi Matsumoto
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la CΓ΄te 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
Teaching the Negative Exponent Rule without Talking
π Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents