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In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of ...
If these resources do not scale with the number of processors, then merely adding processors provides even lower returns. An implication of Amdahl's law is that to speed up real applications which have both serial and parallel portions, heterogeneous computing techniques are required. [11]
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
Interchange of limiting operations. In mathematics, the study of interchange of limiting operations is one of the major concerns of mathematical analysis, in that two given limiting operations, say L and M, cannot be assumed to give the same result when applied in either order. One of the historical sources for this theory is the study of ...
Limit (mathematics), the value that a function or sequence "approaches" as the input or index approaches some value. Limit of a function. (ε,_δ)-definition of limit, formal definition of the mathematical notion of limit. Limit of a sequence. One-sided limit, either of the two limits of a function as a specified point is approached from below ...
The Urdu Wikipedia (Urdu: اردو ویکیپیڈیا), started in January 2004, is the Standard Urdu-language edition of Wikipedia, a free, open-content encyclopedia. [1] [2] As of 19 November 2024, it has 214,596 articles, 187,023 registered users and 7,412 files, and it is the 54th largest edition of Wikipedia by article count, and ranks 20th in terms of depth among Wikipedias with over ...
Google Translate is a web-based free-to-use translation service developed by Google in April 2006. [12] It translates multiple forms of texts and media such as words, phrases and webpages. Originally, Google Translate was released as a statistical machine translation (SMT) service. [12] The input text had to be translated into English first ...
The Urdu alphabet (Urdu: اُردُو حُرُوفِ تَہَجِّی, romanized: urdū ḥurūf-i tahajjī) is the right-to-left alphabet used for writing Urdu. It is a modification of the Persian alphabet, which itself is derived from the Arabic script. It has co-official status in the republics of Pakistan, India and South Africa.