In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x0, x1, x2, …, xn of real numbers such that a = x0 < x1 < x2 <...

(geometry) Inequality Interval graph Interval finite element Interval (statistics) Line segment Partition of an interval Unit interval Bertsekas, Dimitri...

n-1].} A tagged partition P(x, t) of an interval [a, b] is a partition together with a choice of a sample point within each sub-interval: that is, numbers...

an ordered partition of a set, partition of a graph, partition of an integer, partition of an interval, partition of unity, partition of a matrix; see...

The partition of India in 1947 was the division of British India into two independent dominion states, the Union of India and Dominion of Pakistan. The...

Multiplicative partition, a way to write an integer as a product of other integers Partition of an interval, a finite sequence of real numbers Partition of a set...

each interval by one of the speeds in that interval, and then taking the sum (a Riemann sum) of the approximate distance traveled in each interval. The...

{1}{2}}(f(a)+f(b)).} The integral can be even better approximated by partitioning the integration interval, applying the trapezoidal rule to each subinterval, and...

independent of the particular sequence of partitions. Typically, the left end of the interval is used. Important results of Itô calculus include the integration...

In statistics, a confidence interval (CI) is a range of values used to estimate an unknown statistical parameter, such as a population mean. Rather than...

infimum, respectively, of f in each subinterval of the partition. These ideas are made precise below: A partition of an interval [ a , b ] {\displaystyle...

is partitioned into several intervals ("subdomains") on which the function may be defined differently. Piecewise definition is actually a way of specifying...

probability. The number of noncrossing partitions of a set of n elements is the nth Catalan number. The number of noncrossing partitions of an n-element set with...

defined in terms of Riemann sums of functions with respect to tagged partitions of an interval. A tagged partition of a closed interval [a, b] on the real...

tree These are data structures used for space partitioning or binary space partitioning. Segment tree Interval tree Range tree Bin K-d tree Implicit k-d tree...

analogy with the partition of an interval and the Riemann integral. In both cases the integral over a contour is defined as the sum of the integrals over...

largest. In an upgraded version of the problem, the intervals are partitioned into groups. A subset of intervals is compatible if no two intervals overlap...

manifolds, which generalizes the fundamental theorem of discrete calculus for a partition of an interval: ∑ i = 0 n − 1 Δ F Δ x ( a + i h + h / 2 ) Δ x =...

computational mathematics Polygon mesh, a partition into polygons Mesh (mathematics), a partition of an interval Mesh generation or "grid generation" or...

amounts to an overestimation if f is monotonically decreasing on this interval, and an underestimation if it is monotonically increasing. The error of this...

In mathematics, a partition of unity on a topological space ⁠ X {\displaystyle X} ⁠ is a set ⁠ R {\displaystyle R} ⁠ of continuous functions from ⁠ X...

limit inferior Supremum Infimum Interval Partition of an interval Contraction mapping Metric map Fixed point – a point of a function that maps to itself...

{\displaystyle P} ranges over partitions of the interval [ 0 , t ] {\displaystyle [0,t]} and the norm of the partition P {\displaystyle P} is the mesh...

taxicab arc length of the graph of f {\displaystyle f} on some interval [ a , b ] {\displaystyle [a,b]} . Take a partition of the interval into equal infinitesimal...

following some planned distribution). Whenever they observe an object of interest (e.g., an animal of the type being surveyed), they record the distance from...

entropy of the Bernoulli process is log 2, since almost every real number has a unique binary expansion. That is, one may partition the unit interval into...

P{\text{ is a partition of }}[a,b]{\text{ satisfying }}x_{i}\leq x_{i+1}{\text{ for }}0\leq i\leq n_{P}-1\right\}} of all partitions of the interval considered...

Bayesian statistics, a credible interval is an interval used to characterize a probability distribution. It is defined such that an unobserved parameter value...

terms of Riemann sums of functions with respect to tagged partitions of an interval. Let [ a , b ] {\displaystyle [a,b]} be a closed interval of the real...

inference, specifically predictive inference, a prediction interval is an estimate of an interval in which a future observation will fall, with a certain...