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...

In statistical hypothesis testing, the error exponent of a hypothesis testing procedure is the rate at which the probabilities of Type I and Type II decay...

always written as a terminating decimal). The integer n is called the exponent and the real number m is called the significand or mantissa. The term "mantissa"...

In computing, a roundoff error, also called rounding error, is the difference between the result produced by a given algorithm using exact arithmetic...

exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is...

measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory include...

e-folding Elimination half-life Error exponent Euler's formula Euler's identity e (mathematical constant) Exponent Exponent bias Exponential (disambiguation)...

Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal...

integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. Numbers of this form are called floating-point numbers...

δ can be made arbitrarily small, by making n larger. Channel coding Error exponent Noisy-channel coding theorem Shen, A. and Uspensky, V.A. and Vereshchagin...

fields for the exponent and significand lengths and error information is carried in a single bit, the ubit, representing possible error in the least significant...

Hitachi's HD61810 DSP of 1982 (a 4-bit exponent and a 12-bit mantissa), Thomas J. Scott's WIF of 1991 (5 exponent bits, 10 mantissa bits) and the 3dfx Voodoo...

in the area of statistical hypothesis testing, which connects the error exponents in hypothesis testing with the Kullback–Leibler divergence. This result...

representable exponent is represented as 1, with 0 used for subnormal numbers. For numbers with an exponent in the normal range (the exponent field being...

Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave Solomon in 1960. They have many applications...

treated as an error or indeterminate. Mathematica and PARI/GP further distinguish between integer and floating-point values: If the exponent is a zero of...

rounding error when rounding a number to the nearest representable one (the machine epsilon) is therefore 2−53. The 11 bit width of the exponent allows...

Bandwidth (computing) Bandwidth (signal processing) Bit rate Code rate Error exponent Nyquist rate Negentropy Redundancy Sender, Data compression, Receiver...

measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory include...

able to extend the proof to cover all prime exponents up to four million, but a proof for all exponents was inaccessible (meaning that mathematicians...

Since n(d + 1) evaluations over n iterations give an error exponent of (d + 1)n, the exponent for one function evaluation is d+1d+1{\displaystyle {\sqrt[{d+1}]{d+1}}}...

average height, while the exponent of 2.5 is a compromise between the exponent of 2 in the traditional formula for BMI and the exponent of 3 that would be expected...

factor Johansen test Model selection Vuong's closeness test Sup-LR test Error exponents in hypothesis testing King, Gary (1989). Unifying Political Methodology :...

currencies Production Mint Designers Coining Milling Hammering Cast Metals Errors Collection Coin collecting Coins Commemorative coins Bullion coins Grading...

{\displaystyle \sigma } . It follows that the normal distribution is stable (with exponent α = 2 {\displaystyle \alpha =2} ). If X k ∼ N ( m k , σ k 2 ) {\displaystyle...

also established the binary erasure channel and proposed list decoding of error-correcting codes as an alternative to unique decoding. Peter Elias was a...

or negative), a fixed-precision significand and an integer exponent. Numbers whose exponent is too large to represent instead "overflow" to positive or...

the location parameter. The median of a power law distribution x−a, with exponent a > 1 is 21/(a − 1)xmin, where xmin is the minimum value for which the...

in coherent states (technically, there is a 6 dB improvement in the error exponent ). A key feature of quantum illumination is that the entanglement between...

f(x)=\exp(x)} or e x {\displaystyle e^{x}} (where the argument x is written as an exponent). Unless otherwise specified, the term generally refers to the positive-valued...