Generalizes

What Flink brings to the table is, I think, really the most complete, well-thought-out framework for stream processing, it generalizes batch processing with real-time streaming.

If somebody generalizes a feature of Bitcoin such as tamper resistance to all the other blockchains, then that person is either ignorant or a fraud.

Also developed are the concept of vector manifold and geometric integration theory (which generalizes Cartan's differential forms).

Amicable multisets are defined analogously and generalizes this a bit further (sequence A259307 in the OEIS ).

A more recent development in category theory that generalizes operations is operad theory – an operad is a set of operations, similar to a universal algebra.

ANOVA for multiple factors main ANOVA generalizes to the study of the effects of multiple factors.

Branes main In string theory and related theories such as supergravity theories, a brane is a physical object that generalizes the notion of a point particle to higher dimensions.

Bucket sort main Bucket sort is a divide and conquer sorting algorithm that generalizes counting sort by partitioning an array into a finite number of buckets.

From this perspective the idea of the power set of X as the set of subsets of X generalizes naturally to the subalgebras of an algebraic structure or algebra.

Generalizations The concept of Cartesian coordinates generalizes to allow axes that are not perpendicular to each other, and/or different units along each axis.

Higher derivatives Faà di Bruno's formula generalizes the chain rule to higher derivatives.

Industrial organization generalizes from that special case to study the strategic behaviour of firms that do have significant control of price.

Infinitary logic generalizes first-order logic to allow formulas of infinite length.

In symbols, a basis is orthonormal if if and for each i. This definition of orthonormal basis generalizes to the case of infinite-dimensional inner product spaces in the following way.

In this, it generalizes maximization approaches developed to analyse market actors such as in the supply and demand model and allows for incomplete information of actors.

It is this method that generalizes to many possible alternative theories.

K-way merging k -way merging generalizes binary merging to an arbitrary number k of sorted input lists.

Localization The localization generalizes the construction of the field of fractions of an integral domain to an arbitrary ring and modules.

Mean value theorem in several variables The mean value theorem generalizes to real functions of multiple variables.

N particles The above discussion generalizes readily to the case of N particles.