mathematics, the mean value problem was posed by Stephen Smale in 1981. This problem is still open in full generality. The problem asks: For a given...

In mathematics, the mean value theorem (or Lagrange's mean value theorem) states, roughly, that for a given planar arc between two endpoints, there is...

deem the naturalistic fallacy a fallacy. The is–ought problem is closely related to the fact–value distinction in epistemology. Though the terms are often...

A mean is a quantity representing the "center" of a collection of numbers and is intermediate to the extreme values of the set of numbers. There are several...

observation, the mean response at a given value of x, say xd, is an estimate of the mean of the y values in the population at the x value of xd, that is...

conjecture on the Mahler measure of non-cyclotomic polynomials The mean value problem: given a complex polynomial f {\displaystyle f} of degree d ≥ 2 {\displaystyle...

additional problems, "that don't seem important enough to merit a place on our main list, but it would still be nice to solve them:" Mean value problem Is the...

theory, the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first moment)...

The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items...

the number of fitted points n. Mean absolute percentage error is commonly used as a loss function for regression problems and in model evaluation, because...

Thus, the harmonic mean cannot be made arbitrarily large by changing some values to bigger ones (while having at least one value unchanged). [citation...

lives and his beliefs about the values [valuations] and purposes that should direct his conduct is the deepest problem of modern life.": 255  Moreover...

product of the mean value of the spin and the fluctuation value. Finally, the last term involves a product of two fluctuation values. The mean field approximation...

sample of data on one or more random variables. The sample mean is the average value (or mean value) of a sample of numbers taken from a larger population...

former using the latter. The fact–value distinction is closely related to, and derived from, the is–ought problem in moral philosophy, characterized...

S2CID 206590734.* 5-manifold Axiom A Geometric mechanics Homotopy principle Mean value problem Smale, Steve (1985). "On the Efficiency of Algorithms in Analysis"...

statistics, the mean absolute scaled error (MASE) is a measure of the accuracy of forecasts. It is the mean absolute error of the forecast values, divided by...

has a maximum value of 0.3864 occurring when n = 28. The basic problem considers all trials to be of one "type". The birthday problem has been generalized...

or value that best represents a set of data. The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the...

In mathematics, Vinogradov's mean value theorem is an estimate for the number of equal sums of powers. It is an important inequality in analytic number...

harmonic. This is true because every continuous function satisfying the mean value property is harmonic. Consider the sequence on ⁠ ( − ∞ , 0 ) × R {\displaystyle...

interviewed previously. Skip is used to mean "reject immediately after the interview". Since the objective in the problem is to select the single best applicant...

the arithmetic mean is often used to report central tendencies, it is not a robust statistic: it is greatly influenced by outliers (values much larger or...

method of combining p-values Generalized p-value Harmonic mean p-value Holm–Bonferroni method Multiple comparisons problem p-rep p-value fallacy Italicisation...

initial density came to be so closely fine-tuned to this 'special' value. The problem was first mentioned by Robert Dicke in 1969.: 62,  : 61  The most...

the two is 0 and the value of | 0 − 0 | | 0 | + | 0 | {\displaystyle {\frac {|0-0|}{|0|+|0|}}} is undefined. One supposed problem with SMAPE is that it...

{n}{k-1}}}&{\text{if }}n\geq m\end{cases}}} For k ≥ 3, N has the finite mean value: ( m − 1 ) ( k − 1 ) ( k − 2 ) − 1 {\displaystyle (m-1)(k-1)(k-2)^{-1}}...

contraharmonic mean (or antiharmonic mean) is a function complementary to the harmonic mean. The contraharmonic mean is a special case of the Lehmer mean, L p {\displaystyle...

two-envelope problems, each with one envelope containing twice what is in the other, and each with computation of the expectation value 5A/4. The first...

numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean of ⁠ n {\displaystyle n} ⁠ numbers...