Sentence examples for a sequence of number from inspiring English sources

Assume by contradiction that there exist a sequence of number { μ n } ⊂ [ 0, 1 ] and corresponding solutions { u n } of (2.1) such that ∥ u n ∥ ∞ → + ∞ as  n → + ∞. (2.3).

Assume by contradiction that there exist a sequence of number { μ n } ⊂ [ 0, 1 ] and corresponding solutions { x n } of (3.1 - 3.2) such that ∥ x n ∥ C 1 → + ∞. (3.3).

Define a sequence of mappings (T_{n}: Hrightarrow H) as follows: T_{n}(x)= textstylebegin{cases} L_{n}x_{n} & textit{if } x=x_{n} (exists ngeq 1), -x & textit{if } xneq x_{n} (forall ngeq1), end{cases} where ({L_{n}}_{n=1}^{infty}) is a sequence of number such that (L_{n}>1), (lim_{nrightarrowinfty}L_{n}=1).

Then he started the numbering at different points on the star, creating a sequence of numbers at each.

The sender of a message and its recipient agree to start plucking a sequence of numbers from that string.

Another agent can recite a sequence of numbers that takes him into a state of exalted concentration.

To him, she's "merely a name and a sequence of numbers, mostly odd numbers".

Ignore, for a moment, what these figures represent and think of them simply as a sequence of numbers selected from one to a hundred and twenty-five.

In number theory, an arithmetic progression is a sequence of numbers that proceeds in steps of the same amount.

For Dawn to make a donation, consumers must go to dawnsaveswildlife.com — which features the bird rescue group and another beneficiary, the Marine Mammal Center — and enter a sequence of numbers printed on the back of bottles.

A sound waveform from a microphone or tape recorder can be digitized, or converted to a sequence of numbers that is the digital representation of the waveform.