(analysis) A sequence in a metric space with metric d is convergent to a point , denoted as , if for every there is a natural number N such that for every : .
(mathematics) The rational number obtained when a continued fraction has been terminated after a finite number of terms.
Convergent Sentence Examples
Every convergent is nearer to the value of the whole fraction than any preceding convergent.
(ii) Each convergent is a fraction in its lowest terms.
It is not the quantity but the quality of the anatomical and bionomic characters which determines their taxonomic value, and a few fundamental characters are better indications of the affinities of given groups of birds than a great number of agreements if these can be shown to be cases of isomorphism or heterophyletic, convergent analogy.
When the waves are convergent and the recipient screen is placed so as to contain the centre of convergency - the image of the original radiant point, the calculation assumes a less complicated form.
By separation of real and imaginary parts, C =M cos 27rv 2 +N sin 27rv2 1 S =M sin 27rv 2 - N cos 27rv2 where 35+357.9 N _ 7rv 3 7r 3 v 7 + 1.3 184.108.40.206 220.127.116.11.9.11 These series are convergent for all values of v, but are practically useful only when v is small .