Sentence examples for are points of a from inspiring English sources

"It gives me a lot of confidence that I can pull out a win like that when there are points of a match where you don't feel great..".

If are points of a CAT space and is the midpoint of the segment, which we will denote by, then the CAT inequality implies (1.2).

If x, y 1, y 2 are points of a CAT ( 0 ) space, and y 0 is the midpoint of the segment [ y 1, y 2 ], which will be denoted by y 1 ⊕ y 2 2, then the CAT ( 0 ) inequality implies that d 2 ( x, y 1 ⊕ y 2 2 ) ≤ 1 2 d 2 ( x, y 1 ) + 1 2 d 2 ( x, y 2 ) − 1 4 d 2 ( y 1, y 2 ).

Finally, we observe that if x, y 1, y 2 are points of a CAT ( 0 ) space and if y 0 is the midpoint of the segment [ y 1, y 2 ], which we will denote by y 1 ⊕ y 2 2, then the CAT ( 0 ) inequality implies d ( x, y 1 ⊕ y 2 2 ) 2 ≤ 1 2 d ( x, y 1 ) 2 + 1 2 d ( x, y 2 ) 2 − 1 4 d ( y 1, y 2 ) 2. (2.1).

If x, y 1, y 2 are points of a CAT ( 0 ) space and y 0 is the midpoint of the segment [ y 1, y 2 ] which we will denote by ( y 1 ⊕ y 2 ) / 2, then the CAT ( 0 ) inequality implies d 2 ( x, y 1 ⊕ y 2 2 ) ≤ 1 2 d 2 ( x, y 1 ) + 1 2 d 2 ( x, y 2 ) − 1 4 d 2 ( y 1, y 2 ).

Finally, we observe that if x, y 1, y 2 are points of a C A T ( 0 ) space and if y 0 is the midpoint of the segment [ y 1, y 2 ], then the C A T ( 0 ) inequality implies d ( x, y 0 ) 2 ≤ 1 2 d ( x, y 1 ) 2 + 1 2 d ( x, y 2 ) 2 − 1 4 d ( y 1, y 2 ) 2. (2.1).

Let be points of a space and let be the midpoint of.

There are points of interest relevant to designing a system.

The extremities of a line are points.

These are key points of a good lecture.

Because that's the point of a pope, isn't it?