Having concluded that everything in the world is composed of air, Anaximenes then used his theory to devise a scheme explaining the origins and nature of the earth as well as of the surrounding celestial bodies.

The deficiencies of valence bond theory became apparent when hypervalent molecules ( e. g. PF < sub > 5 </ sub >) were explained without the use of d orbitals that were crucial to the bonding hybridisation scheme proposed for such molecules by Pauling.

The simplest type of ab initio electronic structure calculation is the Hartree – Fock ( HF ) scheme, an extension of molecular orbital theory, in which the correlated electron – electron repulsion is not specifically taken into account ; only its average effect is included in the calculation.

" A descriptive theory of education can be thought of as a conceptual scheme that ties together various " otherwise discrete particulars.

This was first done in algebraic geometry and algebraic number theory by Alexander Grothendieck to define the étale cohomology of a scheme.

A great deal of writing on this theory developed and several societies were formed worldwide for its adoption, although Hare pointed out that his scheme was not meant to bear the title ' representation for minorities '.

Much of this may be categorized as computational chemistry, although computational chemistry usually refers to the application of theoretical chemistry in an applied setting, usually with some approximation scheme such as certain types of post-Hartree – Fock, density functional theory, semiempirical methods ( such as PM3 ) or force field methods.

In information theory an entropy encoding is a lossless data compression scheme that is independent of the specific characteristics of the medium.

Russell's Paradox has shown us that naive set theory, based on an unrestricted comprehension scheme, is contradictory.

In NF, the naive axiom scheme of comprehension is modified to avoid the paradoxes by introducing a kind of " local " type theory.

In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom schema of specification, axiom schema of separation, subset axiom scheme or axiom schema of restricted comprehension, is a schema of axioms in Zermelo – Fraenkel set theory.

In Dune, the Bene Gesserit breeding scheme is, in theory, to have come to full fruition from the union of an Atreides daughter ( planned to be born of the Bene Gesserit Lady Jessica and the Duke Leto Atreides ) and Feyd-Rautha Harkonnen, nephew of the Baron Vladimir Harkonnen ( himself secretly the natural father of the Lady Jessica ).

The concept of virtual particles arises in the perturbation theory of quantum field theory, an approximation scheme in which interactions ( in essence, forces ) between real particles are calculated in terms of exchanges of virtual particles.

In 1872 Airy conceived the idea of treating the lunar theory in a new way, and at the age of seventy-one he embarked on the prodigious toil which this scheme entailed.

Eventually he settled on a scheme to impress her by assassinating the president, with the theory that as a historical figure he would be her equal.

The theory was good, however the first version had two problems: the colour scheme of primarily red and the soundtrack of electronic bleeps, which caused complaints from the continuity announcers and viewers alike.

In the theory of schemes of Grothendieck these points are all reconciled: but the general scheme is far from having the immediate geometric content of a variety.

If S is the complement of a prime ideal I the localization is denoted by R < sub > I </ sub >, and R < sub > f </ sub > is used to denote the localization by the powers of an element f. The two latter cases are fundamental in algebraic theory and scheme theory.

* Function field ( scheme theory )

Further, the classification scheme for root systems, by Dynkin diagrams, occurs in parts of mathematics with no overt connection to Lie theory ( such as singularity theory ).

No attempt is made by Ptolemy to weld into a single scheme ( a-la-Aristotle ), these independent predicting-machines.

There is a workable alternative to this potentially dangerous and harmful C. & O. - B. & O. merger scheme '' --

By this scheme, pulling one signal to clear locks all the other switch and signal levers in safe positions until the first signal is again restored to normal.

The interlocking frame we built at the model railroader workshop and then installed on Paul Larson's railroad follows the Fig. 1 scheme and is shown beginning in Fig. 7, page 65, and in the photos.

it is only after he has involved her emotions in his scheme that he uses her given name, placing himself by implication in the position of a solicitous father.

The American Standard Code for Information Interchange ( ASCII, ;) is a character-encoding scheme originally based on the English alphabet.

The larger scheme of Canberra's layout is based on the three peaks surrounding the city, Mount Ainslie, Black Mountain, and Red Hill.

This scheme is taken from Perkins et al.

A current urban regeneration scheme, Elevate East Lancashire, is attempting to remedy these problems.

In this regulatory scheme, every current polluting facility is given or may purchase on an open market an emissions allowance for each unit of a designated pollutant it emits.

The graphic scheme above is an artist's concept illustrating the expansion of a portion of a flat universe.

Guidance is often, but not exclusively, employed as part of a BRT scheme.

Nevertheless, for convenience, there is usually some logical scheme behind the labels inside kets, such as the common practice of labeling energy eigenkets in quantum mechanics with a list of their quantum numbers.

However, there is considerable variation on this pattern in almost every respect, including length, number of lines and rhyming scheme, making the strict definition of a ballad extremely difficult.

Worse still, it is APX-complete, meaning there is no polynomial-time approximation scheme ( PTAS ) for this problem unless P = NP.

Whittaker summed the effects of gradients ( 3 ) and ( 4 ) to get an overall temperature gradient, and combined this with gradient ( 2 ), the moisture gradient, to express the above conclusions in what is known as the Whittaker classification scheme.

In this scheme each chemical substance is identifiable by a number known as its CAS registry number.

The following is a classification scheme showing the development of the modern Khmer dialects.

In this scheme, the CPU would then quickly switch to another thread which is ready to run, the switch often done in one CPU clock cycle, such as the UltraSPARC Technology.

ASCII was introduced in 1963 and is a 7-bit encoding scheme used to encode letters, numerals, symbols, and device control codes as fixed-length codes using integers.

IBM's Extended Binary Coded Decimal Interchange Code ( usually abbreviated EBCDIC ) is an 8-bit encoding scheme developed in 1963.

The following is a typical reaction scheme, where C represents the catalyst, X and Y are reactants, and Z is the product of the reaction of X and Y: