Sentence examples for proof separately from inspiring English sources

We describe the following proof separately for the case of (p=infty) and (p

Outside the US and Canada, Planet Terror and Death Proof were released separately in extended versions, approximately two months apart.

(1) Proof We consider separately the cases of odd and even k.

If ( T, S ) is a generalized multi-valued cyclic contraction pair, then T has a best proximity point in A, or S has a best proximity point in B. Proof We consider two cases separately.

It should be noted that, as shown in the proof of Theorem 1, we separately discuss the existence and the number of the equilibria in three cases based on the sign of the discriminant (Delta_{P'(x)}).

The slides were then proof read and re-scored separately by a specialist consultant histopathologist.

[ 11] that kind of processing has been tested separately in a proof-of-concept system.

Two cases are now discussed separately related to the proof of Property (ii).

Death Proof and Planet Terror were released separately on DVD in the United States.

"You must consider each individual charge separately and evaluate each on the proof or lack of proof that relates to that charge," Judge Rakoff said.

Adsorption, moisture proofing and desorption capacity were tested separately to evaluate UMBV of specimens.