Mordell's theorem had an ad hoc proof ; Weil began the separation of the infinite descent argument into two types of structural approach, by means of height functions for sizing rational points, and by means of Galois cohomology, which was not to be clearly named as that for two more decades.

Apparently, however, Galois did not ignore Poisson's advice, began collecting all his mathematical manuscripts while still in prison, and continued polishing his ideas until his release on 29 April 1832.

There are two threads in the history of finite simple groups – the discovery and construction of specific simple groups and families, which took place from the work of Galois in the 1820s to the construction of the Monster in 1981 ; and proof that this list was complete, which began in the 19th century, most significantly took place 1955 through 1983 ( when victory was initially declared ), but was only generally agreed to be finished in 2004., work on improving the proofs and understanding continues ; see for 19th century history of simple groups.

Love Hörnqvist-Åstrand began working on it, followed by Magnus Ahltorp, working on the Linux kernel module, and Artur Grabowski, working on the OpenBSD kernel module.

The orbital assembly of Mir began in February 1986 with the launch of the core module on a Proton-K rocket.

The joint mission began when Soyuz 19 was first launched on 15 July 1975 at 12: 20 UTC, and the Apollo craft was launched with the docking module six and a half hours later.

Bigelow began to publicly refer to the initial configuration — two Sundancer modules and one BA-330 module — as " Space Complex Alpha " in October 2010.

DIMMs began to replace SIMMs ( single in-line memory modules ) as the predominant type of memory module as Intel P5-based Pentium processors began to gain market share.

As on Vostok 1, the Vostok 2 service module failed to detach from the reentry module when commanded and reentry began with the former still attached ; the conjoined modules gyrated violently until aerodynamic heating burned through the straps still holding them together.

As a result of the added mass of the equipment module, Volynov lost control of Soyuz 5 which began to tumble, finally stabilizing itself with the thinnest part of the spacecraft facing forward.

In collaboration with others, Tim Bunce began specifying DBI in 1992. the Perl community maintains DBI as a CPAN module in accordance with the open source model.

In October 2008 the U. S. Navy began to replace its manned rescue systems, based on the Mystic DSRV and support craft, with a modular system, the SRDRS based on a tethered, unmanned ROV called a pressurized rescue module ( PRM ).

The re-entry process began at 19: 44 on October 16 when the orbital module separated as planned from the rest of the spacecraft.

At 20: 07, the re-entry module separated and five minutes later the re-entry proper began, as the Shenzhou capsule entered the top of the atmosphere, over China.

The real-time operating system was implemented as a loadable kernel module which began by virtualizing guest interrupt control and then started a real-time scheduler.

Shortly after reaching orbit, the STS-60 crew began checking Discovery ’ s systems and activating the commercially developed SPACEHAB laboratory module and several of its experiments.

Transient module names all began with $$ A or $$ B to speed loading, and they were often referred to as " A-Transients " or " B-transients.

The next day, he and Canadian astronaut Julie Payette traveled to the Zarya module and began maintenance activities on the storage batteries located under the floor board.

When they began work on Ravenloft, they felt the vampire archetype had become overused, trite, and mundane, and decided to create a frightening version of the creature for the module.

During normal idle and cruising, it began " closed-loop " operation, during which the module acted based upon inputs from a variety of sensors.

The incident began when trainees began to fall sick after returning to camp on 28 May, from the Wirajaya module ( a two-day jungle trekking exercise ).

By 1985, the word had spread about the sound of Pastorius ’ s 810 and Hartke began mass production of its first aluminum cone bass cabinet, a 4 x 10 ” module dubbed the 410XL.

Dieter Döpfer began developing audio hardware with a Voltage Controlled Phaser ( VCP ) module for the Formant, a do-it-yourself-kit analog synthesizer from Elektor magazine in 1977.

An additional line of reasoning in support of particle theory ( and by extension atomic theory ) began in 1827 when botanist Robert Brown used a microscope to look at dust grains floating in water and discovered that they moved about erratically — a phenomenon that became known as " Brownian motion ".

The modern theory of antimatter began in 1928, with a paper by Paul Dirac.

According to this theory, the cycle of philosophical upheavals that in part drove the diversification of Buddhism into its many schools and sects only began once Buddhists began attempting to make explicit the implicit philosophy of the Buddha and the early suttas.

Curious as to how fungi reproduced Potter began microscopic drawings of fungi spores ( the agarics ) and in 1895 developed a theory of their germination.

Once judges began to regard each other's decisions to be binding precedent, the pre-Norman system of local customs and law varying in each locality was replaced by a system that was ( at least in theory, though not always in practice ) common throughout the whole country, hence the name " common law.

Physical cosmology, as it is now understood, began with the twentieth century development of Albert Einstein's general theory of relativity and better astronomical observations of extremely distant objects.

Starting in the 1960s, literary scholars, reacting against this, began to use analytical tools from critical social theory-initially semiotic, linguistic, and interpretive theory, then structuralism, Lacanian psychoanalysis, post-structuralism, and deconstruction as well as Continental philosophy, especially phenomenology and hermeneutics, and various other forms of neo-Marxian theory.

Thus literary criticism became highly theoretical and some of those practicing it began referring to the theoretical dimension of their work as " critical theory "-a philosophically inspired theory of literary criticism.

When, in the 1970s and 1980s, Jürgen Habermas redefined critical social theory as a theory of communication, i. e. communicative competence and communicative rationality on the one hand, distorted communication on the other, the two versions of critical theory began to overlap or intertwine to a much greater degree than before.

Although recognized previously by others, the mathematical expression for the Coriolis force appeared in an 1835 paper by French scientist Gaspard-Gustave Coriolis, in connection with the theory of water wheels, Early in the 20th century, the term Coriolis force began to be used in connection with meteorology.

In the early 1920s, dance studies ( dance practice, critical theory, Musical analysis and history ) began to be considered an academic discipline.

As he began to understand physics and how physicists were using mathematics, he developed a coherent mathematical theory for what he found, most importantly in the area of integral equations.

Less than a hundred years later, Aristotle developed an almost " biological ' theory of the development of tragedy in Athens: according to this view, the art form grew under the influence of Aeschylus, matured in the hands of Sophocles then began its precipitous decline with Euripides.

It was at around the same time that he began making fundamental discoveries in the theory of polynomial equations.

Whereas Parker started with practice and then moved to theory, Dewey began with hypotheses and then devised methods and curricula to test them.

Khrushchev also began making references to Palmiro Togliatti's polycentrism theory.

In contrast, film theoreticians in England began integrating critical theory based perspectives drawn from psychoanalysis, semiotics, and Marxism, and eventually these ideas gained hold within the American scholarly community in the later 1970s and 1980s.

Modern game theory began with the idea regarding the existence of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann.

Building to some degree on his observations and artifacts, e. g. the Dymaxion map of the Earth he created, others began to ask if there was a way to make the Gaia theory scientifically sound.