and Dr. G. J. Whitrow, reader in applied mathematics at the Imperial College of Science and Technology, London.

Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.

Just as in the arts the Greeks sought some reality behind appearances, so in mathematics they sought permanent principles which could be applied wherever the conditions were the same.

The technique has been applied in the study of mathematics and logic since before Aristotle ( 384 – 322 B. C.

It can be applied in the study of classical concepts of mathematics, such as real numbers, complex variables, trigonometric functions, and algorithms, or of non-classical concepts like constructivism, harmonics, infinity, and vectors.

He also applied mathematics in generalizing physical laws from these experimental results.

The term can also be applied to some degree to functions in mathematics, referring to the anatomy of curves.

General category theory, an extension of universal algebra having many new features allowing for semantic flexibility and higher-order logic, came later ; it is now applied throughout mathematics.

The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business accounts.

A drawing for a booster engine for steam locomotive s. Engineering is applied to design, with emphasis on function and the utilization of mathematics and science.

Game theory is a branch of applied mathematics that considers strategic interactions between agents, one kind of uncertainty.

Examples of broad areas of academic disciplines include the natural sciences, mathematics, computer science, social sciences, humanities and applied sciences.

Expander constructions have spawned research in pure and applied mathematics, with several applications to complexity theory, design of robust computer networks, and the theory of error-correcting codes.

This proved to be a fertile approach, which later mathematicians adapted to many other fields of mathematics besides the theory of equations to which Galois originally applied it.

Financial mathematics is a field of applied mathematics, concerned with financial markets.

The occurrence of the triples in the Sulvasutras is comparable to mathematics that one may encounter in an introductory book on architecture or another similar applied area, and

Healthcare science – applied science dealing with the application of science, technology, engineering or mathematics to the delivery of healthcare.

Information theory is a branch of applied mathematics, electrical engineering, and computer science involving the quantification of information.

To acknowledge outstanding research contributions to mathematics, through the awarding of scientific prizes and to encourage and support other international mathematical activities, considered likely to contribute to the development of mathematical science in any of its aspects, whether pure, applied, or educational.

Idempotence ( ) is the property of certain operations in mathematics and computer science, that they can be applied multiple times without changing the result beyond the initial application.

Rousseau had been an indifferent student, but during his 20s, which were marked by long bouts of hypochondria, he applied himself in earnest to the study of philosophy, mathematics, and music.

He showed interest in natural science and mathematics, but applied himself to studying theology, ecclesiastical law, and philosophy.

The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.

He is known for the Arf invariant of a quadratic form in characteristic 2 ( applied in knot theory and surgery theory ) in topology, the Hasse – Arf theorem in ramification theory, Arf semigroups, and Arf rings.

That is particularly true of sovereignty when it is applied to democratic societies, in which `` popular '' sovereignty is said to exist, and in federal nations, in which the jobs of government are split.

Although the false glamour surrounding bourbon or other whisky commercials is possibly no more fatuous than the pseudo-sophistication with which TV soft-drinks are downed or toothpaste applied, there is a sad difference between enticing a viewer into sipping Oopsie-Cola and gulling him into downing bourbon.

Spherical concave backing surfaces support the diaphragm when excessive pressures are applied and prevent the stresses within the diaphragm from exceeding the elastic limit.

Math and the formulas that allow it to be applied to different problems are, therefore, essential to any scientific endeavor.

After the factors just described have been computed, they are applied to the following formula: Af

The battens covering the joints are of Af stock and are applied after the walls are erected.

Panels with outdated copy are returned to the sign shop so a new message can be applied.

Also, for the present, great caution should be exercised in the choice of an experimental animal for pulmonary studies if they are to be applied to man.

The Mecholyl and noradrenalin tests applied with certain precautions are reliable indicators of this central autonomic balance, but for the sake of correlating autonomic and clinical states, and of studying the effect of certain therapeutic procedures on central autonomic reactions, additional tests seem to be desirable.

However, if these procedures are applied more often, conditioned emotional responses are temporarily abolished.

But in the second subtype, which I take to be the one more frequently applied, only the operating expenses and not the `` cost of capital '' or `` fair return '' are apportioned directly among the various classes of service.

Merchant has found that the same basic relationships which describe the geometry and force systems in the case of the cutting mechanism can also be applied to the discontinuous chip formation provided the proper values of instantaneous shear angle and instantaneous chip thickness or cross-sectional area are used.

This also holds true if restorative forces are applied.

It is assumed that the gyros are designed with electrical torquers so that a torque can be applied about their output axes.

Here again laboratory approaches are being evolved, for it is recognized how `` elastic '' these readings can be, how they can apply to many people, and are often stated in general terms all too easily applied to any individual's own case.

But since this is a world in which people disagree about ends and goals and concerning justice and injustice, and since, in a situation where direct action and economic pressure are called for, the justice of the matter has either not been clearly defined by law or the law is not effectively present, there has to be a morality of means applied in every case in which people take it upon themselves to use economic pressures or other forms of force.

The industry is so structured that price-setting by a multi-product company will vary with the way overhead charges are allocated -- whether marginal or average pricing is applied.

Examples of applied anthropology are ubiquitous.

Also, a statistician may specify that logarithmic transforms be applied to the responses, which are believed to follow a multiplicative model.

Until the 17th century, art referred to any skill or mastery and was not differentiated from crafts or sciences, but in modern usage the fine arts, where aesthetic considerations are paramount, are distinguished from acquired skills in general, and the decorative or applied arts.