differentiation

Definitions

  • WordNet 3.6
    • n differentiation the mathematical process of obtaining the derivative of a function
    • n differentiation a discrimination between things as different and distinct "it is necessary to make a distinction between love and infatuation"
    • n differentiation (biology) the structural adaptation of some body part for a particular function "cell differentiation in the developing embryo"
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Webster's Revised Unabridged Dictionary
    • Differentiation The act of differentiating. "Further investigation of the Sanskrit may lead to differentiation of the meaning of such of these roots as are real roots."
    • Differentiation (Logic) The act of distinguishing or describing a thing, by giving its different, or specific difference; exact definition or determination.
    • Differentiation (Biol) The gradual formation or production of organs or parts by a process of evolution or development, as when the seed develops the root and the stem, the initial stem develops the leaf, branches, and flower buds; or in animal life, when the germ evolves the digestive and other organs and members, or when the animals as they advance in organization acquire special organs for specific purposes.
    • Differentiation (Metaph) The supposed act or tendency in being of every kind, whether organic or inorganic, to assume or produce a more complex structure or functions.
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Century Dictionary and Cyclopedia
    • n differentiation The formation of differences or the discrimination of varieties.
    • n differentiation Specifically Any change by which something homogeneous is made heterogeneous, or like things are made unlike; especially, in biology, the evolutionary process or result by which originally indifferent parts or organs become differentiated or specialized in either form or function; structural or functional modification; specialization. Thus, the primitively similar appendages of a lobster undergo differentiation in bleing specialized, some into mouth-parts, some into prehensile claws, others into walking- or swimming-organs, etc.
    • n differentiation In logic, discrimination; the act of distinguishing things according to their respective differences.
    • n differentiation In mathematics, the operation of finding the differential or differential coefficient of any function.
    • n differentiation In geology, the general process by which a parent mass of molten rock of intermediate composition, standing in a reservoir for long periods of time, breaks up or differentiates into several fractional derivatives both more acidic and more basic. While the process is obscure and inadequately understood, it accounts for the contrasted lavas which often come from the same eruptive center at different times. Geikie, Textbook of Geol., p. 710.
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Chambers's Twentieth Century Dictionary
    • n Differentiation the act of distinguishing or describing a thing by giving its differentia: exact definition: a change by which organs or structures become specialised or modified:
    • n Differentiation (math.) the act or process of differentiating
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Quotations

  • Anatole France
    Anatole%20France
    “An education isn't how much you have committed to memory, or even how much you know. It's being able to differentiate between what you do know and what you don't.”
  • Rebecca West
    Rebecca%20West
    “People call me feminist whenever I express sentiments that differentiate me from a doormat or a prostitute.”

Etymology

Chambers's Twentieth Century Dictionary
L. differredif (= dis), apart, ferre, to bear.

Usage

In literature:

He differentiated, not conceitedly, between Clem Sypher and himself.
"Septimus" by William J. Locke
The next point is, to exhibit the operation of these differential powers in the condition of manners which they produce.
"Blackwood's Edinburgh Magazine--Vol. 54, No. 333, July 1843" by Various
At first the newcomer is absolutely bewildered by the variety of these peoples; but after a little he learns to differentiate.
"African Camp Fires" by Stewart Edward White
Miss Thompkins and Miss Nickall began slowly to differentiate themselves in Audrey's mind.
"The Lion's Share" by E. Arnold Bennett
There should be no sharp differentiation between work and play.
"The Nervous Child" by Hector Charles Cameron
A normal man, possessed of all his senses, is capable of even greater development of his powers of differentiation.
"Certain Success" by Norval A. Hawkins
In the Viking age dialectal differentiations began to appear, especially in O. Dan.
"Scandinavian influence on Southern Lowland Scotch" by George Tobias Flom
Perhaps that which differentiates him from other animals is feeling rather than reason.
"Tragic Sense Of Life" by Miguel de Unamuno
Any fanciful way of naming the days would be bad, as too sharply differentiating one day from another.
"A Christmas Garland" by Max Beerbohm
Kings and priests were probably at first not differentiated.
"The Religion of the Ancient Celts" by J. A. MacCulloch
What differentiates Locke from all his predecessors is the manner of his writing on the one hand, and the fact of the Revolution on the other.
"Political Thought in England from Locke to Bentham" by Harold J. Laski
Again we were struck by the extraordinary individuality which differentiates one valley or mountain-pass from another.
"The Princess Passes" by Alice Muriel Williamson and Charles Norris Williamson
There was little enough to differentiate between them.
"The Man in the Twilight" by Ridgwell Cullum
An exceedingly early differentiation of the primitive germ-cells occurs in certain Diptera.
"Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 4" by Various
Differential tones, first noticed by Sorge about 1740, are easily heard.
"Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 2" by Various
The most deeply-rooted differentiation of labor is that between the sexes.
"Ethics" by John Dewey and James Hayden Tufts
The aim is to educate the eye to the differential perception of dimensions.
"The Montessori Method" by Maria Montessori
The differentiation of texture between the flesh and water and foliage is absent.
"Modern Painting, Its Tendency and Meaning" by Willard Huntington Wright
The Asiatic Rhinoceroses include three well-differentiated species, in all of which the skin is much thrown into folds.
"The Cambridge Natural History, Vol X., Mammalia" by Frank Evers Beddard
The differentiation of things no more contradicts their unity than their unity contradicts their differentiation.
"The Positive Outcome of Philosophy" by Joseph Dietzgen
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In poetry:

For, as their nurses dandle them
They crow binomial theorem,
With views (it seems absurd to us)
On differential calculus.
"My Dream" by William Schwenck Gilbert
Remember, truth draws upward. This to us
Of steady happiness should be a cause
Beyond the differential calculus
Or Kant’s dull dogmas and mechanic laws.
"Faith in God" by Henry Kendall

In news:

Digital differential pressure sensors with very low measurement ranges.
Mini uses the brakes to mimic the effects of a differential lock with its Electronic Differential Lock Control (EDLC) system.
The Rangers' Goal Differential Provides Some Promise.
J-2000 Series of Aero Type Differential Pressure Gauges.
The J-2000 Series of Aero Type Differential Pressure Gauges is designed for the HVAC industry.
The gauges feature a frictionless gauge movement, and respond quickly to indicate low pressures, whether positive, negative (vacuum), or differential .
Q&A: Can tires of different sizes affect differential .
There is a howling in the front axle which I have been told is the front differential assembly.
1130 Series Differential Pressure Gauges.
Guided Wave Radar vs Differential Pressure Transmitters for Liquid Level Measurement.
Through 30 games, the Nets' scoring differential is a minus-11.2.
Cleveland Browns' yardage differential in loss to Pittsburgh is 6th-worst in team's 906-game history.
Beginner's Guide to Differential Pressure Level Transmitters.
On a warm summer day along the coast, this differential heating of land and sea leads to the development of local winds called sea breezes.
The CLDP (Closed Loop Differential Pump) is a compact, selfcontained linear axis hydraulic drive from Voith Turbo H+L Hydraulic, Rutesheim, Germany.
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In science:

S] Stallings, J. R., On Infinite Processes Leading to Differentiability in the Complement of a Point, 245–254, in Differentiable and Combinatorial Topology, a symposium in honor of Marston Morse, ed.
Morin singularities and global geometry in a class of ordinary differential operators
Clearly Ck ⊂ Sk , and we define the differential to be the restriction to Ck of the differential on Sk (and so C∗ is a subcomplex of S∗ ).
Homology of coloured posets: a generalisation of Khovanov's cube construction
In most of these formulations the differential operator transforming Lagrangians to Euler–Lagrange expressions is nothing but a sheaf morphism of a certain differential sheaf sequence, thus providing two related frames : infinite order variational bicomplexes and Krupka’s finite order variational sequences.
Lagrangian reductive structures on gauge-natural bundles
The parameter α controls the mean square differentiability of Z so that Z is n times mean square differentiable if and only if n < α/2.
Estimating deformations of isotropic Gaussian random fields on the plane
The original idea to use differential forms as describing dynamical degrees of freedom of the space-time differentiable manifold has been developed by Taylor in his attempt to quantize the gravity.
Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
As is well known, the 4-dimensional differentiable manifold is orientable if it possesses a differential form of degree 4 which is nonzero at every point on the manifold.
Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
An important point, implicit in and proven in , is that it is equivalent to consider convergent integrals of differential forms with poles along D , or integrals of differential forms without poles.
Galois theory, motives and transcendental numbers
Multivalued analytic solutions of this differential equations are subject to differential Galois theory.
Galois theory, motives and transcendental numbers
But a physical theory has to be written in terms of differential equations, and it has to be built up on the fundamental concept of derivative; hence, we need to develop also a differential theory for tensors.
Higher-Order Theories of Gravitation
Different level splittings (differentiated by colours) and different times (differentiated by symbol type) are studied.
A random matrix theory of decoherence
Xu, Tree diagram Lie algebras of differential operators and evolution partial differential equations, J.
Abelian ideals with given dimension in Borel subalgebras
In the 1930’s, analog computers like the differential analyzer for solving differential equations had their programs built in, as their components had to be physically rearranged for solving different problems.
Local Hamiltonians in Quantum Computation
In mathematical literature the term diffeomorphism refers to a mapping from one manifold to another, which is differentiable, one-to-one, onto, with differentiable inverse.
Diffeomorphism Invariance in the Hamiltonian formulation of General Relativity
The differential of ZI C∗ (P ) induces a differential on ZC∗ (P ) = Ln ZCn(P ), making the inclusion ZC∗ (P ) ֒→ ZI C∗ (P ) a chain morphism.
A chain morphism for Adams operations on rational algebraic K-theory
Moreover, the differential of ZC∗ (P ) induced by both structures is exactly the differential of the complex of cubes.
A chain morphism for Adams operations on rational algebraic K-theory
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