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differentiation

 
Dictionary: dif·fer·en·ti·a·tion   (dĭf'ə-rĕn'shē-ā'shən) pronunciation
 
n.
    1. The act or process of differentiating.
    2. The state of becoming differentiated.
  1. Mathematics. The process of computing a derivative.
  2. Biology. The process by which cells or tissues undergo a change toward a more specialized form or function, especially during embryonic development.

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Thesaurus: differentiation
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noun

    The act or an instance of distinguishing: discrimination, distinction, separation. See same/different/compare.

 
Antonyms: differentiation
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n

Definition: distinction
Antonyms: association


 
Britannica Concise Encyclopedia: differentiation
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Mathematical process of finding the derivative of a function. Defined abstractly as a process involving limits, in practice it may be done using algebraic manipulations that rely on three basic formulas and four rules of operation. The formulas are: (1) the derivative of xn is nxn - 1, (2) the derivative of sin x is cos x, and (3) the derivative of the exponential function ex is itself. The rules are: (1) (af + bg)¢ = af¢ + bg¢, (2) (fg)¢ = fg¢ + gf¢, (3) (f/g)¢ = (gf¢ - fg¢)/g2, and (4) (f(g))¢ = f¢(g)g¢, where a and b are constants, f and g are functions, and a prime (¢) indicates the derivative. The last formula is called the chain rule. The derivation and exploration of these formulas and rules is the subject of differential calculus. See also integration.

For more information on differentiation, visit Britannica.com.

 
Columbia Encyclopedia: differentiation
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differentiation, in biology, series of changes that occur in cells and tissues during development, resulting in their specialization. This, in turn, permits a greater variety of organisms. In plants, unspecialized cells, composing tissue called meristem, differentiate into vascular tissue (xylem and phloem; see wood), supportive tissue (sclerenchyma), and storage tissue (parenchyma). In animals, the tissues of the gastrula stage of the embryo differentiate into specialized tissues. While it is not fully understood what initiates this processs, it is known that each of the specialized cells in an organism carries a full set of genes, with all of the organism's genetic information, but each specialized cell expresses only part of it. That is, each cell only transcribes that DNA that it needs to do its specific tasks (see nucleic acid).


 
Veterinary Dictionary: differentiation
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1. the distinguishing of one thing from another.
2. the act or process of acquiring completely individual characteristics, such as occurs in the progressive diversification of cells and tissues in the embryo, e.g. sex differentiation.
3. increase in morphological or chemical heterogeneity.

 
Cosmic Lexicon: Differentiation
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Chemical zonation caused by differences in the densities of minerals; heavy materials sink, less dense materials float.

 
Wikipedia: Differentiation
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Look up differentiation in Wiktionary, the free dictionary.

Differentiation can mean the following:


 
Best of the Web: differentiation
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Math
mathworld.wolfram.com
 
 
 

 

Copyrights:

Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2007. Published by Houghton Mifflin Company. All rights reserved.  Read more
Thesaurus. Roget's II: The New Thesaurus, Third Edition by the Editors of the American Heritage® Dictionary Copyright © 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.  Read more
Answers Corporation Antonyms. © 1999-2009 by Answers Corporation. All rights reserved.  Read more
Britannica Concise Encyclopedia. Britannica Concise Encyclopedia. © 2006 Encyclopædia Britannica, Inc. All rights reserved.  Read more
Columbia Encyclopedia. The Columbia Electronic Encyclopedia, Sixth Edition Copyright © 2003, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/  Read more
Veterinary Dictionary. Saunders Comprehensive Veterinary Dictionary 3rd Edition. Copyright © 2007 by D.C. Blood, V.P. Studdert and C.C. Gay, Elsevier. All rights reserved.  Read more
Cosmic Lexicon. Copyright 1996 Planetary Science Research Discoveries Read more
Wikipedia. This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Differentiation" Read more