Euripides is identified with theatrical innovations that have profoundly influenced drama down to modern times, especially in the representation of traditional, mythical heroes as ordinary people in extraordinary circumstances.

* The exponential functions are eigenfunctions of differentiation, which means that this representation transforms linear differential equations with constant coefficients into ordinary algebraic ones.

Indeed, the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies at least one Planck volume.

Indeed, the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies at least one Planck volume.

This has particular application to representation theory and quantum mechanics, since ordinary representations of the universal covering group () are projective representations of the original ( classical ) group ().

They showed little sympathy for the Levellers, an egalitarian movement which had contributed greatly to Parliament's cause but sought representation for ordinary citizens.

The first of these three identities says that the 0 form a representation of the ordinary Lie algebra spanned by E ( Consider the 0 as vectors on which the E act.

The creation of XML Signatures is substantially more complex than the creation of an ordinary digital signature because a given XML Document ( an " Infoset ", in common usage among XML developers ) may have more than one legal serialized representation.

However, the text of the clause would indicate that the size of the Senate could be changed by an ordinary amendment if each state continued to have equal representation.

this time not as a G × G representation but an ordinary G-representation.

This may be a geometric design ( sometimes called an ordinary ) or a symbolic representation of a person, animal, plant, object or other device.

The color lemon yellow is sometimes misinterpreted as a neon color ( somewhat like the color chartreuse yellow shown below in the shades of yellow color template but more yellowish ) but is actually related closely to the simple, plain yellow because it is a representation of the color of the outer skin of the lemon, which is quite close to and actually somewhat brighter than ordinary yellow.

characteristic p representation theory, ordinary character theory and structure of G, especially as the latter relates to the embedding of, and relationships between, its p-subgroups.

In the theory initially developed by Brauer, the link between ordinary representation theory and modular representation theory is best exemplified by considering the

In ordinary representation theory, every indecomposable module is irreducible, and so every module is projective.

showed that every finite group G has associated to it at least one finite group C, called a Schur cover, with the property that every projective representation of G can be lifted to an ordinary representation of C. The Schur cover is also known as a covering group or Darstellungsgruppe.

The word projective refers to the fact that if one projects out the phase of each state, where we recall that the overall phase of a quantum state is not an observable, then a projective representation reduces to an ordinary representation.

During the 1940s, Potter's work was still mostly figurative, but showed deliberate avoidance of ordinary representation.

In computer science, the concept is relevant whenever ordinary human activities, observations, and tasks are transferred into a computational representation.

The first approach that bore fruit is known as the " interaction representation ", ( see the article Interaction picture ) a Lorentz covariant and gauge-invariant generalization of time-dependent perturbation theory used in ordinary quantum mechanics, and developed by Tomonaga and Schwinger, generalizing earlier efforts of Dirac, Fock and Podolsky.

The commonsense knowledge problem is the ongoing project in the field of knowledge representation ( a sub-field of artificial intelligence ) to create a commonsense knowledge base: a database containing all the general knowledge that most people possess, represented in a way that it is available to artificial intelligence programs that use natural language or make inferences about the ordinary world.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Despite popular opinion, Limbo, which was elaborated upon by theologians beginning in the Middle Ages, never entered into the teaching of the Roman Catholic Church, yet, at times, the church incorporated the theory in its ordinary belief.

The classification of groups of small 2-rank, especially ranks at most 2, makes heavy use of ordinary and modular character theory, which is almost never directly used elsewhere in the classification.

Diderot's intention in writing the dialogue is disputed ; whether it is merely a satire on contemporary manners, or a reduction of the theory of self-interest to an absurdity, or the application of irony to the ethics of ordinary convention, or a mere setting for a discussion about music, or a vigorous dramatic sketch of a parasite and a human original.

There is a natural way to associate a site to an ordinary topological space, and Grothendieck's theory is loosely regarded as a generalization of classical topology.

Gilbert Newton Lewis ForMemRS ( October 23, 1875 – March 23, 1946 ) was an American physical chemist known for the discovery of the covalent bond ( see his Lewis dot structures and his 1916 paper " The Atom and the Molecule "), his purification of heavy water, his reformulation of chemical thermodynamics in a mathematically rigorous manner accessible to ordinary chemists, his theory of Lewis acids and bases, and his photochemical experiments.

Still, that same Magisterium did at times mention the theory in its ordinary teaching up until the Second Vatican Council.

Work in set theory showed that almost all ordinary mathematics can be formalized in terms of sets, although there are some theorems that cannot be proven in common axiom systems for set theory.

Such a theory of quantum gravity would yield the same experimental results as ordinary quantum mechanics in conditions of weak gravity ( gravitational potentials much less than c < sup > 2 </ sup >) and the same results as Einsteinian general relativity in phenomena at scales much larger than individual molecules ( action much larger than reduced Planck's constant ), but moreover be able to predict the outcome of situations where both quantum effects and strong-field gravity are important ( at the Planck scale, unless large extra dimension conjectures are correct ).

Where, for ordinary field theories such as quantum electrodynamics, a technique known as renormalization is an integral part of deriving predictions which take into account higher-energy contributions, gravity turns out to be nonrenormalizable: at high energies, applying the recipes of ordinary quantum field theory yields models that are devoid of all predictive power.

One attempt to overcome these limitations is to replace ordinary quantum field theory, which is based on the classical concept of a point particle, with a quantum theory of one-dimensional extended objects: string theory.

" It may be utilized only when the circumstances of the incident, without further proof, are such that, in the ordinary course of events, the incident could not have happened except on the theory of negligence ..."

This is, in ordinary language, where statements such as " He is a terrible person " cannot be judged to be true or false without reference to some interpretation of who " He " is and for that matter what a " terrible person " is under the theory.

In a Lorentz invariant theory, the same formulas that apply to ordinary slower-than-light particles ( sometimes called " bradyons " in discussions of tachyons ) must also apply to tachyons.

In the language of category theory, topological groups can be defined concisely as group objects in the category of topological spaces, in the same way that ordinary groups are group objects in the category of sets.

In this sense, the theory of topological groups subsumes that of ordinary groups.

Although the social theories and quasi-empiricism, and especially the embodied mind theory, have focused more attention on the epistemology implied by current mathematical practices, they fall far short of actually relating this to ordinary human perception and everyday understandings of knowledge.

In the ordinary axiomatization of probability theory by means of measure theory, the problem is to construct a sigma-algebra of measurable subsets of the space of all functions, and then put a finite measure on it.

The only reason one would have for maintaining, then, that the bundle theory holds that objects do not exist is if you think that, according to our ordinary concepts, something simply cannot both be a bundle of properties and an object.

It is in that qualified sense that Born rule is, for the de Broglie – Bohm theory, a theorem rather than ( as in ordinary quantum theory ) an additional postulate.