Sentence examples for binary operations from inspiring English sources

Moreover, we define s ⋄ t = − 1 2 ( a + b ) ( s + t ), s ⋆ t = 1 2 ( s + t ) for each s, t ∈ E. Then we can also see that the binary operations ⋄ and ⋆ on E are continuous and the square operator τ : s ↦ s ⋄ s is an automorphism of E with respect to ⋄ and ⋆.

Moreover, we define s ⋄ t = − 1 2 ( a + b ) ( s + t ), s ⋆ t = 1 2 ( s + t ) for each s, t ∈ E. Then we can also see that the binary operations ⋄ and ⋆ on E are continuous and the square operator s ↦ s ⋄ s is an endomorphism of E with respect to ⋄ and ⋆.

And finally there are binary operations, minimally \ \cdot\) and \.

(ii) The binary operations ⋄ and ⋆ on E are continuous.

Let ( E, d, ⋄, ⋆ ) be a complete metric space ( E, d ) with two binary operations ⋄ and ⋆.

GC requires less time to achieve low persistence thanks to its binary operations.

Let ( X, ∘, ∗ ) be a set X with two binary operations ∘ and ∗.

This greatly simplifies the implementation of the PLS, leading to binary operations only.

For more information on these and other binary operations between convex and star bodies, see [38 42].

On the other side, binary operations create a new graph from two initial graphs (mathcal {G}), (mathcal{H}).

This is important as binary operations like addition or multiplication of an array need a copy for returning the results.