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- этимология
Что (кто) такое terminating condition - определение
WIKIMEDIA DISAMBIGUATION PAGE
Finitely terminating; Finitely Terminating; Notherian; Noetherian (disambiguation)
Condition number
FUNCTION K OF THE INPUT X OF A WELL-POSED PROBLEM WHICH DESCRIBES HOW MUCH ITS VARIATION INFLUENCES THE VARIATION OF THE OUTPUT G(X)
Ill-conditioned; Condition numbers; Ill-conditioned matrix; Matrix condition number; Ill-conditioning; Conditioning number; Well-conditioned
In numerical analysis, the condition number of a function measures how much the output value of the function can change for a small change in the input argument. This is used to measure how sensitive a function is to changes or errors in the input, and how much error in the output results from an error in the input.
Abbe sine condition
CONDITION THAT MUST BE FULFILLED BY A LENS OR OTHER OPTICAL SYSTEM IN ORDER FOR IT TO PRODUCE SHARP IMAGES OF OFF-AXIS AS WELL AS ON-AXIS OBJECTS
Sine condition
The Abbe sine condition is a condition that must be fulfilled by a lens or other optical system in order for it to produce sharp images of off-axis as well as on-axis objects. It was formulated by Ernst Abbe in the context of microscopes.
condition
n. a term or requirement stated in a contract, which must be met for the other party to have the duty to fulfill his/her obligations.
See also: condition precedent condition subsequent
Википедия
Noetherian
In mathematics, the adjective Noetherian is used to describe objects that satisfy an ascending or descending chain condition on certain kinds of subobjects, meaning that certain ascending or descending sequences of subobjects must have finite length. Noetherian objects are named after Emmy Noether, who was the first to study the ascending and descending chain conditions for rings. Specifically:
- Noetherian group, a group that satisfies the ascending chain condition on subgroups.
- Noetherian ring, a ring that satisfies the ascending chain condition on ideals.
- Noetherian module, a module that satisfies the ascending chain condition on submodules.
- More generally, an object in a category is said to be Noetherian if there is no infinitely increasing filtration of it by subobjects. A category is Noetherian if every object in it is Noetherian.
- Noetherian relation, a binary relation that satisfies the ascending chain condition on its elements.
- Noetherian topological space, a topological space that satisfies the descending chain condition on closed sets.
- Noetherian induction, also called well-founded induction, a proof method for binary relations that satisfy the descending chain condition.
- Noetherian rewriting system, an abstract rewriting system that has no infinite chains.
- Noetherian scheme, a scheme in algebraic geometry that admits a finite covering by open spectra of Noetherian rings.
