Within algebraic geometry itself, his theory of schemes has become the universally accepted language for all further technical work.

Within the framework of the approach a theory was proposed in which the physical vacuum is conjectured to be the quantum Bose liquid whose ground-state wavefunction is described by the logarithmic Schrödinger equation.

Within the canonical formulation of quantum field theory, a Feynman diagram represents a term in the Wick's expansion of the perturbative S-matrix.

Within the context of the philosophy of mind, externalism is the theory that the contents of at least some of one's mental states are dependent in part on their relationship to the external world or one's environment.

Within much morpheme-based morphological theory, these two views are mixed in unsystematic ways, so that a writer may talk about " the morpheme plural " and " the morpheme-s " in the same sentence, although these are different things.

Within set theory, many collections of sets turn out to be proper classes.

Within combinatorial game theory it is usually called the nim-sum, as will be done here.

Within a theory, there is one field for each type of particle in that theory, and interaction terms between the fields.

Within the timeline of radio, many people contributed theory and inventions in what became radio.

Within a given approach, statistical theory gives ways of comparing statistical procedures ; it can find a best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures.

Within the pluralist tradition, Robert Dahl developed the theory of the state as a neutral arena for contending interests or its agencies as simply another set of interest groups.

Within electromagnetic theory generally, there are numerous hypotheses about how electromagnetism applies to specific situations.

Within a Bayesian framework, the power PC theory can be interpreted as a noisy-OR function used to compute likelihoods ( Griffiths & Tenenbaum, 2005 )

Within feminist theory, terminology for gender issues developed over the 1970s.

Within the Brønsted – Lowry acid-base theory ( protonic ), a conjugate acid is the acid member, HX, of a pair of two compounds that transform into each other by gain or loss of a proton ( hydrogen ion ).

Within microwave field theory, the interface of a dielectric and conductor supports " surface wave transmission.

493 </ sup > Within mainstream economics, the rise of monetarism accelerated from Milton Friedman's 1956 restatement of the quantity theory of money.

Within development theory, however, there are varying ideas concerning what constitutes desirable change for a particular society, and the different ways that quality of life is defined by institutions therefore shapes how these organizations work for its improvement as a whole.

Within Homeric studies specifically, Lord's The Singer of Tales, which focused on problems and questions that arise in conjunction with applying oral-formulaic theory to problematic texts such as the Iliad, Odyssey, and even Beowulf, influenced nearly all of the articles written on Homer and oral-formulaic composition thereafter.

Within political science, coalition theory is using game theory to analyze formation, workings and break-up of coalitions.

Within Austrian economics, economic bubbles are generally considered to have a negative impact on the economy because they tend to cause misallocation of resources into non-optimal uses ; this forms the basis of Austrian business cycle theory.

* Within the United States military, a theory of an Observe – Orient – Decide – Act ( OODA ) loop has been advocated by Colonel John Boyd.

* Within self-determination theory in psychology, autonomy refers to ' autonomy support versus control ', " hypothesizing that autonomy-supportive social contexts tend to facilitate self-determined motivation, healthy development, and optimal functioning.

Within this notion clarity is possible, but for us who are neither Greek nor Jansenist there is not such clarity.

Within institutions there is a marked decline of the process of persuasion and the substitution of a force-fear process which masquerades as the earlier one of persuasion.

Within this frame of reference policies appropriate to claims advanced in the name of the Jews depend upon which Jewish identity is involved, as well as upon the nature of the claim, the characteristics of the claimant, the justifications proposed, and the predispositions of the community decision makers who are called upon to act.

Within the units in the National Forest System the pattern of land ownership is quite irregular.

Within sixty days after the receipt of notice that the Export-Import Bank is prepared to act favorably upon an application the Department of Economic Affairs will indicate to the Export-Import Bank whether or not the Department of Economic Affairs has any objection to the proposed loan.

Within certain wide limits anatomy dictates function and, if one is permitted to speculate, potential pathology should be included in this statement as well.

Within only a few years, foamed plastics materials have managed to grow into an integral, and important, phase of the plastics industry -- and the end is still not yet in sight.

Within the first five minutes of this interview it is apparent to the therapist that `` everybody '' truthfully refers to the woman's husband.

Within a system, however, the autonomy of each member library is preserved.

Within the membership of this group, as has been found true of men in other professional or trade associations, the most ready portrayal of oneself to `` the public '' is that of a neutral agent simply serving the interests of a seller or buyer and mediating between them.

Within a short while, he grasps what is at stake and warns the authorities that unless steps are taken immediately, the epidemic could kill off half the town's population of two hundred thousand within a couple of months .</ br > During the epidemic, Rieux heads an auxiliary hospital and works long hours treating the victims.

Within the genus Prunus, it is classified with the peach in the subgenus Amygdalus, distinguished from the other subgenera by the corrugated shell ( endocarp ) surrounding the seed.

Within a shell where n is some integer n < sub > 0 </ sub >, ranges across all ( integer ) values satisfying the relation.

Within a subshell where is some integer, ranges thus:.

Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed.

Within are three officials, whom Gylfi in the guise of Gangleri is allowed to question about the Asgard and the Æsir.

Within the framework of administrative divisions, it is incorporated as the City of Abakan — an administrative unit with the status equal to that of the districts.

Within 4 – 5 days the inflammation and the concomitant dead brain tissue are surrounded with a capsule, which gives the lesion the famous ring-enhancing lesion appearance on CT examination with contrast ( since intravenously applied contrast material can not pass through the capsule, it is collected around the lesion and looks as a ring surrounding the relatively dark lesion ).

Within this potential, a variational ansatz for the wave function is proposed.

Within the prevailing Standard Model of particle physics, the number of baryons may change in multiples of three due to the action of sphalerons, although this is rare and has not been observed under experiment.

Within states, whether sovereign or federated, a constitution defines the principles upon which the state is based, the procedure in which laws are made and by whom.

Within software engineering, programming ( the implementation ) is regarded as one phase in a software development process.

Within the forestry sector, the largest contributor to total production is pulp, followed by wood-based panels and lumber.

Within the corporate office or corporate center of a company, some companies have a Chairman and CEO as the top ranking executive, while the number two is the President and COO ; other companies have a President and CEO but no official deputy.