Sentence examples for a great element for from inspiring English sources

"We knew if we could do that it would add a great element for us in our games".

Every principal derivation d of L satisfies that the set d − 1 ( b ) = { x | d x ≤ b } has a greatest element for any b ∈ L. Every principal derivation d of L satisfies that the set d − 1 ( b ) = { x | d x ≤ b } has a greatest element for any b ∈ Fix d ( L ).

Assume, for every player i, the following conditions hold: 1. P i ( S i, x − i ) is a subset of ( U, ⪰ U ) and has a greatest element, for every x − i ∈ S − i ;   2.

(2) Every principal derivation d of L satisfies that the set d − 1 ( b ) = { x | d x ≤ b } has a greatest element for any b ∈ L.   (3) Every principal derivation d of L satisfies that the set d − 1 ( b ) = { x | d x ≤ b } has a greatest element for any b ∈ Fix d ( L ).   (4) Every principal derivation d of L satisfies that the set d − 1 ( b ) is a principal ideal of L for any b ∈ Fix d ( L ).  .

P i ( S i, x − i ) is a subset of ( U, ⪰ U ) and has a greatest element, for every x �� i ∈ S − i ; The best response function β i : S − i → 2 S i ∖ is order-increasing upward on ( S − i, ⪰ − i ) with universally inductive values; There are elements a = ( a 1, a 2, …, a n ) and b = ( b 1, b 2, …, b n ) in S with a ⪯ S b satisfying a i ∈ β i ( b − i ), for i = 1, 2, …, n.

Randomness is often a great element to use.

They gave some equivalent conditions, under which a derivation is isotone for lattices with a greatest element, modular lattices and distributive lattices, respectively.

But there is a greater element.

If A is a subset of P, then an element u of P is called an upper bound of A if x ≼ u for each x ∈ A ; if u ∈ A, then u is called a greatest element (or a maximum element) of A. The collection of all greatest elements (maximum elements) of A is denoted by maxA.

If an upper bound u of A is in A, then u is called a greatest element (or a maximum element) of A. The collection of all greatest elements (maximum elements) of A is denoted by maxA, that is, max A = { y ∈ A : y ≽ x, for all  x ∈ A }.

Assume, for every player i, the following conditions hold: 1. P i ( S i, x − i ) is a subset of ( U, ⪰ U ) possessing its greatest element, for every x − i ∈ S − i ;   2. the best response function β i : S − i → 2 S i ∖ is order-increasing upward on ( S − i, ⪰ − i ) with compact values;   3.