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Τι (ποιος) είναι uniformly graded soil - ορισμός

SEQUENCE FUNCTION

Uniformly cauchy; Uniformly Cauchy

Graded ring

GRADED MODULE, WHERE THE GRADING HAS THE STRUCTURE OF A MONOID, IN WHICH RING MULTIPLICATION RESPECTS THE GRADING

Graded commutative ring; Homogeneous ideal; Graded module; Homogeneous element; Graded abelian group; Graded algebra; Graded monoid

In mathematics, in particular abstract algebra, a graded ring is a ring such that the underlying additive group is a direct sum of abelian groups R_i such that R_i R_j \subseteq R_{i+j}. The index set is usually the set of nonnegative integers or the set of integers, but can be any monoid.

https://en.wikipedia.org/wiki/Graded_ring

Soil Stradivarius

STRADIVARIUS VIOLIN

Soil Strad; Soil stradivarius

The Soil Stradivarius (pronounced ) of 1714 is an antique violin made by Italian luthier Antonio Stradivari of Cremona (1644–1737). A product of Stradivari’s golden period, it is considered one of his finest.

https://en.wikipedia.org/wiki/Soil_Stradivarius

Uniformly convex space

REFLEXIVE BANACH SPACE SUCH THAT THE CENTER OF A LINE SEGMENT INSIDE THE UNIT BALL MUST LIE DEEP INSIDE THE UNIT BALL UNLESS THE SEGMENT IS SHORT

Uniformly convex Banach space; Uniformly convex banach space; Uniform Convexity; Uniform convexity; Uniformly convex

In mathematics, uniformly convex spaces (or uniformly rotund spaces) are common examples of reflexive Banach spaces. The concept of uniform convexity was first introduced by James A.

https://en.wikipedia.org/wiki/Uniformly_convex_space

Βικιπαίδεια

Uniformly Cauchy sequence

In mathematics, a sequence of functions $\{f_{n}\}$ from a set S to a metric space M is said to be uniformly Cauchy if:

For all $\varepsilon >0$ , there exists $N>0$ such that for all $x\in S$ : $d(f_{n}(x),f_{m}(x))<\varepsilon$ whenever $m,n>N$ .

Another way of saying this is that $d_{u}(f_{n},f_{m})\to 0$ as $m,n\to \infty$ , where the uniform distance $d_{u}$ between two functions is defined by

d_{u}(f,g):=\sup _{x\in S}d(f(x),g(x)).

https://en.wikipedia.org/wiki/Uniformly Cauchy sequence