large deviations theory — a rate function is a function used to quantify the probabilities of rare events. Such functions are used to formulate large...

transforms, quantization, and bit-rate allocation procedures that capitalize on the general shape of rate–distortion functions. Rate–distortion theory was created...

Glomerular filtration rate (GFR) is regarded as the best overall measure of the kidney's ability to carry out these numerous functions. An estimate of the...

but different to instantaneous failure rate f ( t ) {\displaystyle f(t)} is the hazard rate (or hazard function), h ( t ) {\displaystyle h(t)} . In the...

processing, the Nyquist rate, named after Harry Nyquist, is a value equal to twice the highest frequency (bandwidth) of a given function or signal. It has units...

another Rate (mathematics), a specific kind of ratio, in which two measurements are related to each other (often with respect to time) Rate function, a function...

continuous function to a discrete sequence and interpolates back to a continuous function, the fidelity of the result depends on the density (or sample rate) of...

as before. Function I ( ⋅ ) {\displaystyle I(\cdot )} is called the "rate function" or "Cramér function" or sometimes the "entropy function". The above-mentioned...

deviations, a subdiscipline of probability theory. It determines the rate function of a series of iid random variables. A weak version of this result was...

carrying capacity, the supremum of the values of the function; k {\displaystyle k} is the logistic growth rate, the steepness of the curve; and x 0 {\displaystyle...

gradient of the loss function, the learning rate determines how big a step is taken in that direction. A too high learning rate will make the learning...

\left[e^{tX}\right]=M_{X}(t).} Characteristic function (probability theory) Factorial moment generating function Rate function Hamburger moment problem Casella, George;...

{\displaystyle f} of a rate is a function f ( a ) {\displaystyle f(a)} where a {\displaystyle a} happens to be the denominator of the rate δ f / δ a {\displaystyle...

growth occurs when a quantity grows as an exponential function of time. The quantity grows at a rate directly proportional to its present size. For example...

In chemistry, the rate equation (also known as the rate law or empirical differential rate equation) is an empirical differential mathematical expression...

activation function is usually an abstraction representing the rate of action potential firing in the cell. In its simplest form, this function is binary—that...

A major measure of kidney function is the glomerular filtration rate (GFR). The glomerular filtration rate is the flow rate of filtered fluid through...

of a family of random variables Zε as ε becomes small in terms of a rate function for the variables. Let X be a regular topological space; let (Zε)ε>0...

is used because the growth rate of a function is also referred to as the order of the function. A description of a function in terms of big O notation...

common type of implicit function is an inverse function. Not all functions have a unique inverse function. If g is a function of x that has a unique inverse...

the NPV is a function of the rate of return. The internal rate of return is a rate for which this function is zero, i.e. the internal rate of return is...

single function. It is based on the assumption that the mortality rate increases exponentially as a person ages. The resulting Gompertz function is for...

measurements for the rate of fire: cyclic, sustained, and rapid. Cyclic is the maximum rate of fire given only mechanical function, not taking into account...

In aeronautics, the rate of climb (RoC) is an aircraft's vertical speed, that is the positive or negative rate of altitude change with respect to time...

body needs to function. Basal metabolic rate is the amount of energy per unit of time that a person needs to keep the body functioning at rest. Some of...

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. The exponential...

In the case of a positive rate of return, as in the case of interest, the accumulation function is an increasing function. The logarithmic or continuously...

Heart rate is the frequency of the heartbeat measured by the number of contractions of the heart per minute (beats per minute, or bpm). The heart rate varies...

A cryptographic hash function (CHF) is a hash algorithm (a map of an arbitrary binary string to a binary string with a fixed size of n {\displaystyle n}...

{d}{dt}}F(t).} The function f is sometimes called the event density; it is the rate of death or failure events per unit time. The survival function can be expressed...