derivation

Definitions

  • WordNet 3.6
    • n derivation the act of deriving something or obtaining something from a source or origin
    • n derivation drawing off water from its main channel as for irrigation
    • n derivation drawing of fluid or inflammation away from a diseased part of the body
    • n derivation inherited properties shared with others of your bloodline
    • n derivation a line of reasoning that shows how a conclusion follows logically from accepted propositions
    • n derivation (historical linguistics) an explanation of the historical origins of a word or phrase
    • n derivation the source or origin from which something derives (i.e. comes or issues) "he prefers shoes of Italian derivation","music of Turkish derivation"
    • n derivation (descriptive linguistics) the process whereby new words are formed from existing words or bases by affixation "`singer' from `sing' or `undo' from `do' are examples of derivations"
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Webster's Revised Unabridged Dictionary
  • Interesting fact: Leather skin does not have any smell. The leather smell that you sense is actually derived from the materials used in the tanning process
    • Derivation (Med) A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.
    • Derivation A leading or drawing off of water from a stream or source.
    • Derivation That from which a thing is derived.
    • Derivation That which is derived; a derivative; a deduction. "From the Euphrates into an artificial derivation of that river."
    • Derivation The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence. "As touching traditional communication, . . . I do not doubt but many of those truths have had the help of that derivation ."
    • Derivation The act of tracing origin or descent, as in grammar or genealogy; as, the derivation of a word from an Aryan root.
    • Derivation The formation of a word from its more original or radical elements; also, a statement of the origin and history of a word.
    • Derivation (Math) The operation of deducing one function from another according to some fixed law, called the law of derivation, as the operation of differentiation or of integration.
    • Derivation The state or method of being derived; the relation of origin when established or asserted.
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Century Dictionary and Cyclopedia
  • Interesting fact: The word "umbrella" is derived from the Latin root word "umbra", which means shade or shadow
    • n derivation A drawing from or turning aside, as a stream of water or other fluid from a natural course or channel; a stream so diverted.
    • n derivation Specifically. In medicine, revulsion, or the drawing away of the fluids of an inflamed part, by applying blisters, etc., over it or at a distance from it.
    • n derivation The act or fact of deriving, drawing, or receiving from a source: as, the derivation of being; the derivation of an estate from ancestors, or of profits from capital.
    • n derivation In philology, the drawing or tracing of a word in its development or formation from its more original root or stem; a statement of the origin or formative history of a word. See etymology.
    • n derivation In mathematics: The operation of finding the derivative, or differential coefficient; differentiation.
    • n derivation The operation of passing from any point on a cubic curve to that point at which the tangent at the first point cuts the curve.
    • n derivation The operation of passing from any function to any related function which may in the context be termed its derivative. The word derivation, in its first mathematical sense, was invented by Lagrange, who thought it possible to develop the calculus without the use of infinitesimals.
    • n derivation In biology, descent with modification of an organism from antecedent organisms; evolution: as, the derivation of man; the doctrine of derivation—that is, the derivative theory (which see, under derivative).
    • n derivation In gunnery, the peculiar constant deviation of an elongated projectile from a rifled gun, due to its angular rotation about its longer axis and to the resistance of the air. Sometimes called drift.
    • n derivation The thing derived or deduced; a derivative; a deduction.
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Chambers's Twentieth Century Dictionary
  • Interesting fact: Chameleon is derived from the Greek, meaning "little lion."
    • n Derivation act of deriving: a drawing off or from: the tracing of a word to its original root: that which is derived: descent or evolution of man or animals
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Quotations

  • Nathaniel Hawthorne
    Nathaniel%20Hawthorne
    “From principles is derived probability, but truth or certainty is obtained only from facts.”
  • Jean Jacques Rousseau
    Jean%20Jacques%20Rousseau
    “Adversity is a great teacher, but this teacher makes us pay dearly for its instruction; and often the profit we derive, is not worth the price we paid.”
  • Henry Fielding
    Henry%20Fielding
    “It is not from nature, but from education and habits, that our wants are chiefly derived.”
  • Confucius
    Confucius
    “The strength of a nation derives from the integrity of the home.”
  • Eric Hoffer
    Eric%20Hoffer
    “The pleasure we derive from doing favors is partly in the feeling it gives us that we are not altogether worthless. It is a pleasant surprise to ourselves.”
  • E. M. Cioran
    E. M. Cioran
    “Every thought derives from a thwarted sensation.”

Etymology

Webster's Revised Unabridged Dictionary
L. derivatio,: cf. F. dérivation,. See Derive
Chambers's Twentieth Century Dictionary
O. Fr. deriver—L. derivārede, down from, rivus, a river.

Usage

In literature:

The derivation of the word has been much disputed.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4" by Various
Slave by derivation should mean noble, illustrious.
"The Handy Cyclopedia of Things Worth Knowing" by Joseph Triemens
The English derivatives from these scientific words are not capitalized.
"Capitals" by Frederick W. Hamilton
Another subcaste of the Kunbis called Manwa is derived from the Mana tribe.
"The Tribes and Castes of the Central Provinces of India--Volume I (of IV)" by R.V. Russell
Another derivation is from Chandra, the moon.
"The Tribes and Castes of the Central Provinces of India - Volume IV of IV" by R.V. Russell
This again was determined by means of omens either derived from offerings or in some other way.
"The Religion of Babylonia and Assyria" by Morris Jastrow
Yet stronger arguments of an analogous kind are, however, to be derived from the highest organs of sense.
"On the Genesis of Species" by St. George Mivart
Give the derivation of the names of the following elements: thorium, gallium, selenium, uranium.
"An Elementary Study of Chemistry" by William McPherson
Here was held the May Fair, from which the district derives its name.
"Mayfair, Belgravia, and Bayswater" by Geraldine Edith Mitton
The information derived from Holy Writ is here presented to us, in a disfigured form.
"The Metamorphoses of Ovid" by Publius Ovidius Naso
Nuclei (n.) at intervals under the sheath indicate the cells from which nerve fibres are derived by a process of elongation.
"Text Book of Biology, Part 1: Vertebrata" by H. G. Wells
Hence is derived the coloured presentation of Vision to which the character of extensity attaches.
"Essays Towards a Theory of Knowledge" by Alexander Philip
Now, whence, let me ask, was this custom derived?
"The Posthumous Works of Thomas De Quincey, Vol. 1 (2 vols)" by Thomas De Quincey
Nearly all French nouns and adjectives are derived from the accusative.
"The Romance of Words (4th ed.)" by Ernest Weekley
The most valuable are those derived from the fulling mill, being clean and of a bright color.
"Textiles" by William H. Dooley
La grippe is said to be derived from the Polish Chrypka (Raucedo); it may, however, be derived from agripper (to seize).
"A System of Practical Medicine by American Authors, Vol. I" by Various
This would humble me; yet conscious that I had acted rightly I would easily derive comfort from that conviction.
"The Memoirs of Jacques Casanova de Seingalt, Vol. I (of VI), "Venetian Years" The First Complete and Unabridged English Translation, Illustrated with Old Engravings" by Jacques Casanova de Seingalt
The former seems to have been derived largely from Judaism.
"From Egypt to Japan" by Henry M. Field
These people derive their name from a lake, upon which they reside.
"The American Indians" by Henry R. Schoolcraft
The Scandinavian derives his from the awful Odin.
"Christianity Unveiled" by Nicolas-Antoine Boulanger
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In poetry:

And not the lowliest hand that drives
Or share or loom, if so it be
Of British strain, but thence derives
A patent of nobility.
"The Door Of Humility" by Alfred Austin
Old Adam in his innocence
Deriv'd his pow'r of doing hence:
As all he could was wholly due;
So all the working strength he knew.
"The Believer's Principles : Chap. II." by Ralph Erskine
But there, a Judge who wants to prime
His mind with true ideas of crime,
Derives them from the common sense
Of practical experience.
"My Dream" by William Schwenck Gilbert
Thence I derive a glimpse of hope
To bear my sinking spirits up;
I stretch my hands to God again,
And thirst like parched lands for rain
"Psalm 143" by Isaac Watts
From out the web of former lives,
The ancient, never-broken chain
Of love and sorrow, loss and gain,
One certain truth my heart derives—
"The Butterfly" by Clark Ashton Smith
O Rank! from nobler sires derived,
O Wealth! purse-rich, but nothing more,
Grow worthier of your state and store,
Or of their homage go deprived.
"True Nobility" by Martin Farquhar Tupper

In news:

A derivative , misguided Thing.
Sigma Life Science and Axiogenesis Partner to Market iPS Cell- Derived Cardiomyocytes.
ProMetic and NantPharma to Develop Plasma- Derived Biopharmaceuticals.
Fat- Derived Stem Cells Show Promise for Regenerative Medicine.
An in-depth characterization of maize- derived trypsin revealed an unusual nonconsensus N-linked glycosylation.
The earth rests on water, all things are derived from water.
Plant- derived hydrolysates can be used as valuable and practical tools to improve cell culture performance.
The authors describe an industrialized process for the manufacture of iPSC- derived human cardiomyocytes.
Products derived from natural, nontoxic ingredients -- once seen as fringe -- are now mainstream.
Animal- Derived Agents in Disposable Systems.
The ability to express " derived predicates" in the formalization of a planning domain is both practically and theoretically important.
Some proponents of the research say: Why not put to good use embryos derived from fertilization clinics that are going to be destroyed anyway.
The word "taboo" is said to be derived from the Polynesian word "tupua," which means menstruation , and the taboo of menstruation is almost universal.
Drugs derived from python blood may soon reverse heart failure.
HBO's 'Curb Your Enthusiasm' derives a good deal of its comedy from lead Larry David and his neurotic fits when he feels others aren't following society's unwritten laws.
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In science:

For this purpose we will introduce a new covariant derivative for dynamical systems and derive desired equation by help of the derivative.
Geometry of Dynamical Systems
The derivative of a determinant is equal to the sum of determinants with one of the rows replaced by its derivatives, or is equal to sum of the determinants with one of the columns replaced by its derivative (in both cases we have in total Nf terms).
QCD, Chiral Random Matrix Theory and Integrability
Recall that the (1st) derived set of a given real set is the set of limit points of the set, while for k > 2 its k -th derived set is the set of limit points of its (k − 1)-th derived set.
Salem numbers, Pisot numbers, Mahler measure and graphs
The reason for it is that the first derivative of the invariant tr(K 2 ), implicitly present in (47) through (46), yields a derived scalar curvature R, the latter comprising up to second derivatives of the metric.
Towards a general solution of the Hamiltonian constraints of General Relativity
However, the partial derivative with respect to t∗ must be understood in the sense of equation (4.27) which makes it evident that the time derivative with respect to t∗ taken on the light-ray path is, in fact, the time derivative with respect to time t before using the light-ray substitution.
General Relativistic Theory of Light Propagation in the Field of Radiative Gravitational Multipoles
We derive equations the derivatives of ¯φa must satisfy, establish that the equations can be solved, and show that the solutions are the derivatives of ¯φa .
Bifurcations of stationary measures of random diffeomorphisms
Equipped with the generalized exterior derivative and generalized inner derivative we can define a generalization of the Lie derivative.
Generalized forms and vector fields
As noted by Fisher,19 the expression for the pth derivative only involves derivatives of lower or equal order (and for p ≥ 3 the beta function is linear in the pth derivative).
Two-loop Functional Renormalization Group of the Random Field and Random Anisotropy O(N) Models
As for orthogonal triple systems, for any x, y in a symplectic triple system, the linear map [xy .] is a derivation, and the span inder T of these derivations is an ideal of der T , whose elements are called inner derivations.
The extended Freudenthal Magic Square and Jordan algebras
Further, the covariant derivative ∇s of a section s lifts to the horizontal derivative ∇h ˆs of its equivariant lift ˆs to X ; the horizontal derivative is of the form mXj=1 (cid:18) ∂ ˆs ∂θ (cid:19) dzj .
Number variance of random zeros on complex manifolds
On the level of derivations the assumption of fullness becomes much more vital, as we do not see a possibility to show that the derivation of B that turns a map δ into a d –derivation restricts to a derivation of BE .
Generators of Dynamical Systems on Hilbert Modules
Of course, δ∗ ( x∗ ) := δ( x)∗ defines a ternary derivation of E ∗ with domain dom(δ∗ ) := dom(δ)∗ , and by Theorem 3.5 there is a unique ∗ –derivation dδ∗ of K(E ) defined on the domain dom(dδ∗ ) = span(cid:0)dom(δ) dom(δ)∗ (cid:1), defines a ∗ –derivation turning δ∗ into a dδ∗ –derivation.
Generators of Dynamical Systems on Hilbert Modules
If δ is a ternary derivation, the derivation dδ plays a distinguished role as it is related more directly to questions of closability than any other derivation d that turns δ into a d –derivation.
Generators of Dynamical Systems on Hilbert Modules
In other words, every derivation d that turns a closable ternary derivation δ of a full Hilbert B –module into a d –derivation admits a unique minimal closed extension d ′ ⊃ dδ , and δ is also a d ′ –derivation. 3.12 Theorem.
Generators of Dynamical Systems on Hilbert Modules
In general, a d –derivation (even bounded) of a full Hilbert B –module for some derivation d of B need not be a ternary derivation, not even if d is a bounded ∗ –derivation.
Generators of Dynamical Systems on Hilbert Modules
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