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...

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...

with a fixed precision, scaled by an integral power (identified by the exponent) of this base. Numbers of this form are called floating-point numbers.: 3 : 10 ...

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...

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

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...

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...

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...

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...

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

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...

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...

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

33 and 81 = 34 with positive exponents, but typically this isn't used. The log of the roots corresponding to the error locations (right to left, location...

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

Leftist errors (Serbo-Croatian: leva/lijeva skretanja, лева/лијева скретања) was a term used by the Communist Party of Yugoslavia (CPY) to describe radical...

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

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...

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

fix this routine error, statisticians have performed numerous searches to find the ideal exponent. If using a single-number exponent, 1.83 is the most...

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

requirement that n be prime. The smallest composite Mersenne number with prime exponent n is 211 − 1 = 2047 = 23 × 89. Mersenne primes were studied in antiquity...

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

generation preceding it. Using a larger exponent leads to a more uniform distribution of generations, whereas a smaller exponent leads to a distribution with more...