Sentence examples for a maximum element of from inspiring English sources

Suggestions(1)

The phrase "a maximum element of" is correct and usable in written English.
It can be used in mathematical or theoretical contexts, particularly in discussions about sets, functions, or optimization problems.
Example: "In this set of numbers, 10 is a maximum element of the set."
Alternatives: "the largest element of" or "a peak value of".

Exact(9)

Since cl ( { x α } ) is totally ordered, and { x j : j = 1, 2, 3, …, m } ⊆ cl ( { x α } ), there is a maximum element of the finite subset { x j : j = 1, 2, 3, …, m }.

This implies t ⌢ i ∈ T i ( x ⌢ ) ; that is, f i ( t ⌢ i, x ⌢ − i )  is a maximum element of  f i ( S i, x ⌢ − i )  for every fixed  i = 1, 2, …, n.

The ≽ i -downward set of the inverse image { z i ∈ S i : P i ( z i, x − i ) is a maximum element of f i ( S i, x − i ) } is an inductive subset of S i ; g2′.

For x ≼ S y in S, if z i ∈ S i with f i ( z i, x − i ) is a maximum element of f i ( S i, x − i ), then there is w i ∈ S i with z i ≼ i w i such that f i ( w i, y − i ) is a maximum element of f i ( S i, y − i ), f i also satisfies one of the following conditions: g2.

The inverse image { z i ∈ S i : P i ( z i, x − i ) is a maximum element of f i ( S i, x − i ) } is inductive with a finite number of maximal element clusters for each x ∈ S. If there are p = ( p i, p − i ), q = ( q i, q − i ) ∈ S satisfying that.

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 }.

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Similar(51)

The mesh had 73,269 cells with a maximum element size of 80 μm × 80 μm.

A grain approximately 15 μm across was meshed with a maximum element size of 0.69 μm, which from Eq. 49 corresponds to five mesh elements per interface width.

The algorithm is as follows: 1) Compute the metric h k, i)/∑ j g k, j), which is a vector of size K × N s.   2) Identify the maximum element of each column, and corresponding row index k' denotes the assignment of that user to the i th sub-carrier.

where |·| and ∥·∥2 denote the absolute value and Euclidean norm, respectively, and w max denotes the maximum element of w.

Identify the maximum element of each column, and corresponding row index k' denotes the assignment of that user to the i th sub-carrier.

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