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Что (кто) такое grain equivalent - определение

Equivalent matrices; Equivalent matrix

GRAIN

SMALL, HARD, DRY SEED USED AS FOOD; MAY BE GROUND INTO FLOUR

Grains; Grains (agronomic); Food grains; Organic grain; Food grain; Grain farming

A pictorial query language. ["Pictorial Information Systems", S.K. Chang et al eds, Springer 1980]. (1995-01-23)

grain

SMALL, HARD, DRY SEED USED AS FOOD; MAY BE GROUND INTO FLOUR

Grains; Grains (agronomic); Food grains; Organic grain; Food grain; Grain farming

¦ noun

1. wheat or other cultivated cereal used as food.

a single seed or fruit of a cereal.

2. a small, hard particle of a substance such as sand.

a discrete particle or crystal in a metal, igneous rock, etc.

3. the smallest unit of weight in the troy and avoirdupois systems, equal to 1/5760 of a pound troy and 1/7000 of a pound avoirdupois (approximately 0.0648 grams).

the smallest possible amount: there wasn't a grain of truth in what he said.

4. the longitudinal arrangement of fibres in wood, paper, etc.

the texture of wood, stone, etc.

5. the rough or wrinkled outer surface of leather.

6. a grainy appearance of a photograph or negative.

7. historical kermes or cochineal, or dye made from either of these.

¦ verb

1. give a rough surface or texture to.

2. form into grains.

3. [usu. as noun graining] paint in imitation of the grain of wood or marble.

4. remove hair from (a hide).

Phrases

against the grain contrary to one's nature or instinct.

Derivatives

-grained adjective

grainer noun

grainless adjective

Origin

ME: from OFr. grain, from L. granum; sense 3 arose because the weight was orig. equivalent to that of a grain of wheat.

grain

SMALL, HARD, DRY SEED USED AS FOOD; MAY BE GROUND INTO FLOUR

Grains; Grains (agronomic); Food grains; Organic grain; Food grain; Grain farming

n.

food plants

1) to grow grain

2) to store grain

texture

3) a fine; rough; smooth grain

4) against the grain; with the grain

misc.

5) to take smt. with a grain of salt ('to be skeptical about smt.')

Википедия

Matrix equivalence

In linear algebra, two rectangular m-by-n matrices A and B are called equivalent if

B=Q^{-1}AP

for some invertible n-by-n matrix P and some invertible m-by-m matrix Q. Equivalent matrices represent the same linear transformation V → W under two different choices of a pair of bases of V and W, with P and Q being the change of basis matrices in V and W respectively.

The notion of equivalence should not be confused with that of similarity, which is only defined for square matrices, and is much more restrictive (similar matrices are certainly equivalent, but equivalent square matrices need not be similar). That notion corresponds to matrices representing the same endomorphism V → V under two different choices of a single basis of V, used both for initial vectors and their images.

https://en.wikipedia.org/wiki/Matrix equivalence