noun

definition

The act of transforming or the state of being transformed.

definition

A marked change in appearance or character, especially one for the better.

definition

The replacement of the variables in an algebraic expression by their values in terms of another set of variables; a mapping of one space onto another or onto itself; a function that changes the position or direction of the axes of a coordinate system.

definition

A rule that systematically converts one syntactic form into another; a sentence derived by such a rule.

definition

The alteration of a bacterial cell caused by the transfer of DNA from another, especially if pathogenic.

definition

Ideologically driven government policy - becoming more conformant with socialist and African nationalist groupthink.

Examples of transformations in a Sentence

These transformations are fully discussed in the article Sugar.

Most of the time the show is successful in making these transformations happen.

Arithmetical groups, connected with the theory of quadratic forms and other branches of the theory of numbers, which are termed "discontinuous," and infinite groups connected with differential forms and equations, came into existence, and also particular linear and higher transformations connected with analysis and geometry.

Therefore, many of the transformations and goals are based on opposites.

Either way, the transformations are usually fun to watch!

Ramsay travels to restaurants that are struggling to make ends meet and guides them toward profitability through drastic transformations, based on their menus and kitchen staff.

The show offers viewers a look at what goes into the creating that distinctive look and just how demanding the clients can be when they are undergoing their transformations.

Transformations, either emotional or physical, can signify that type of internal change and make the story fun and colorful.

The various grades of life on our planet are the natural consequences of certain physical processes involved in the gradual transformations of the earth.

So long as food is supplied the living substance is the seat of transformations which are continually proceeding, being partially decomposed and again constructed, the new food being incorporated into it.

The Coleoptera can be traced back farther in time than any other order of insects with complete transformations, if the structures that have been described from the Carboniferous rocks of Germany are really elytra.

On the 5th of June 1806 the Batavian republic completed its chrysalis-like transformations by becoming a kingdom for Louis Bonaparte.

The "Life" calls into existence in the visible world a series of three great Helpers, Hibil, Shithil and Anosh (late Judaeo-Babylonian transformations of the well-known names of the book of Genesis), the guardians of souls.

In 1845 a further contribution to the study of allotropy was made by Anton Schrotter, who investigated the transformations of yellow and red phosphorus, phenomena previously noticed by Berzelius, the inventor of the term " allotropy."

Considering derivatives primarily concerned with transformations of the hydroxyl group, we may regard our typical acid as a fusion of a radical R CO - (named acetyl, propionyl, butyl, &c., generally according to the name of the hydrocarbon containing the same number of carbon atoms) and a hydroxyl group. By replacing the hydroxyl group by a halogen, acid-haloids result; by the elimination of the elements of water between two molecules, acid-anhydrides, which may be oxidized to acid-peroxides; by replacing the hydroxyl group by the group. SH, thio-acids; by replacing it by the amino group, acid-amides (q.v.); by replacing it by the group - NH NH2, acid-hydrazides.

By transformations of the carbonyl group, and at the same time of the hydroxyl group, many interesting types of nitrogen compounds may be correlated.

Transformations of electrical into chemical energy are witnessed in the processes of electrolysis (q.v.; see also Electrochemistry and Electrometallurgy).

The reverse series of transformations occurs when this final modification is heated.

Under the general heading "Analysis" occur the subheadings "Foundations of Analysis," with the topics theory of functions of real variables, series and other infinite processes, principles and elements of the differential and of the integral calculus, definite integrals, and calculus of variations; "Theory of Functions of Complex Variables," with the topics functions of one variable and of several variables; "Algebraic Functions and their Integrals," with the topics algebraic functions of one and of several variables, elliptic functions and single theta functions, Abelian integrals; "Other Special Functions," with the topics Euler's, Legendre's, Bessel's and automorphic functions; "Differential Equations," with the topics existence theorems, methods of solution, general theory; "Differential Forms and Differential Invariants," with the topics differential forms, including Pfaffians, transformation of differential forms, including tangential (or contact) transformations, differential invariants; "Analytical Methods connected with Physical Subjects," with the topics harmonic analysis, Fourier's series, the differential equations of applied mathematics, Dirichlet's problem; "Difference Equations and Functional Equations," with the topics recurring series, solution of equations of finite differences and functional equations.

Functions, operations, transformations, substitutions, correspondences, are but names for various types of relations.

All the forms obtained are invariants in regard to linear transformations, in accordance with the same scheme of substitutions, of the several sets of variables.

In algebraical transformations, however, such as (x-a)2 = x 2 - 2ax+a 2, the arithmetical rule of signs enables us to combine the sign-with a number and to treat the result as a whole, subject to its own laws of operation.

A summary of its chemical transformations may be given here, and reference should be made to the articles on the separate compounds for further details.

Before proceeding to the actual synthesis of the sugars, it is advisable to discuss their decompositions and transformations.

According to Sostratus, author of an elegiac poem called Teiresias, he was originally a girl, but had been changed into a boy by Apollo at the age of seven; after undergoing several more transformations from one sex to the other, she (for the final sex was feminine) was turned into a mouse and her lover Arachnus into a weasel (Eustathius on Odyssey, p. 1665).

The name thermodynamics is given to that branch of the general science of Energetics which deals with the relations between thermal and mechanical energy, and the transformations of heat into work, and vice versa.

This equation is generally true for any series of transformations, provided that we regard H and W as representing the algebraic sums of all the quantities of heat supplied to, and of work done by the body, heat taken from the body or work done on the body being reckoned negative in the summation.

The discovery of definite laws in this region might at first sight seem hopeless; but the argument rests on an implied postulate of stability and continuity of constitution of material substances, so that after a cycle of transformations we expect to recover them again as they were originally - on the postulate, in fact, that we do not expect them to melt out of organized existence in our hands.

For the distinguishing marks of all these, the number of their genera and species, their habits and transformations and dwellings, the reader must be referred to the writings of specialists.

Analogy also produces equally remarkable internal or skeletal transformations.

In the middle ages the story of Caesar did not undergo such extraordinary transformations as befell the history of Alexander the Great and the Theban legend.

In the most important of his writings, De la religion consideree dans sa source, ses formes, et ses developpements (5 vols., 1825-1831), he traces the successive transformations of the religious sentiment imperishable under its varying forms. Besides Adolphe, in its way as important as Chateaubriand's Rene, he left two other sketches of novels in MS., which are apparently lost.

Next, Anaximenes, preferring air, resolved its transformations into processes of thinning and thickening.

But after solidification is complete and the metal has cooled to a much lower range of temperature, usually between 9 00 and 690 C., it undergoes a very remarkable series of transformations.

But, far below the freezing-point, transformations may take place in the solid metal, and follow a course quite parallel with that of freezing, though with no suggestion of liquidity.

The corresponding critical points which occur during rise of temperature, with the reverse transformations, are called Ac1, Ace, Ac 3, &c. A (Tschernoff) is the generic name, r refers to falling temperature (refroidissant) and c to rising temperature (chauffant, Osmond).

The degree of hardening which the steel undergoes increases with its carbon-content, chiefly because, during sudden cooling, the presence of carbon acts like a brake to impede the transformations, and thus to increase the quantity of 0-iron caught in transit, but probably also in part because the hardness of this 0-iron increases with its carbon-content.

The pious Nosairi takes his rank among the stars, but the body of the impious undergoes many transformations.

Nevertheless, the theoretical possibility, and its realization in many cases, has brought considerations to the front which have recently become of predominant interest; consequently the possible transformations of isomers and polymers will be considered later under the denomination of reversible or dynamical isomerisms.

These laws have the advantage of being applicable to the mutual transformations of isomers, whatever be the nature of the deeper origin, and so bring polymerism, metamerism and polymorphism together.

A second law for these mutual transformations is that when they take place without loss of homogeneity, for example, in the liquid state, the definite transition point disappears and the change is gradual.

Longago Kiitzing went so far as to express the belief that the lower algae were all capable of transformations into higher forms, even into moss-protonemata.

Later writers have also thought that in all four groups of algae transformations of a most farreaching character occur.

We can only sketch in outline the transformations of certain typical university systems of examinations.

On the other hand, the " rattlesnake " men of the Moqui are merely transformations and expect to return at death to their original reptile form (Maclennan, 357).

In fact, Christianity has been widely accepted by varied races in very different stages of culture, and it has maintained itself through a long succession of centuries in lands where the transformations in political structure, the revolutions in social conditions, and the changes in science and philosophy, have been numerous and extreme.

By these and the similar transformations relating to y and z the equation (6) takes the form d IOT\ aT

The cycle of its transformations and successive condensations constitutes the life of the universe, the mode of existence proper to finite and particular being.

We may indeed with Mr Andrew Lang explain the many myths of the bestial transformations of Zeus on the theory that the God was the tribal ancestor and assumed the shape of the animal-totem in order to engender the tribal patriarch; 7 but on the actual cults of Zeus theriomorphism has left less trace than on those.

In this chronique the gods, like other gods, are adventurous warriors, adulterers, incestuous, homicidal, given to animal transformations, cowardly, and in fact charged with all human vices, and credited with magical powers.

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