The effectiveness of public key cryptosystems depends on the intractability ( computational and theoretical ) of certain mathematical problems such as integer factorization.

This is the key academic / theoretical concept in rendering.

Specialization is considered key to economic efficiency based on theoretical and empirical considerations.

The theoretical security vulnerability is that anybody could break into the house by unlocking the door using that spare key.

Played a key role in the writing of the United States Constitution and providing a theoretical justification for it in his contributions to the Federalist Papers ; author of the American Bill of Rights.

Nevertheless, Newton and Leibniz remain key figures in the history of differentiation, not least because Newton was the first to apply differentiation to theoretical physics, while Leibniz systematically developed much of the notation still used today.

In Germany, both Carl Friedrich Gauss ( in magnetism ) and Carl Gustav Jacobi ( in the areas of dynamics and canonical transformations ) made key contributions to the theoretical foundations of electricity, magnetism, mechanics, and fluid dynamics.

In January 1950 the U. S. discovered that Klaus Fuchs, a German refugee theoretical physicist working for the British mission in the Manhattan Project, had given key documents to the Soviets throughout the war.

Cosmologists and theoretical physicists have regarded such observations as key in the search for explorations of physics in the energy realms which would require new theories of quantum gravity and other theories which predict events at the Planck scale.

While there is sound empirical support for the causal importance of SIMCA ’ s key theoretical variables on collective action, more recent literature has addressed the issue of reverse causation, finding support for a related, yet distinct, encapsulation model of social identity in collective action ( EMSICA ).

Other theoretical work contends that, " A sharp interface between quark matter and the vacuum would have very different properties from the surface of a neutron star "; and, addressing key parameters like surface tension and electrical forces that were neglected in the original study, the results show that as long as the surface tension is below a low critical value, the large strangelets are indeed unstable to fragmentation and strange stars naturally come with complex strangelet crusts, analogous to those of neutron stars.

As key headings, natural ecology and agroecology provide the theoretical base for their respective sciences.

Jacob and Monod made key experimental and theoretical discoveries that demonstrated that in the case of the lactose system outlined above ( in the bacterium E. coli ), there are specific proteins that are devoted to repressing the transcription of the DNA to its product ( RNA, which in turn is decoded into protein ).

In 1941, he wrote the key theoretical essay, " Intimate Banalities ," published in Helhesten, which claimed that the future of art was kitsch and praised amateur landscape paintings as " the best art today.

David Buckingham has come up with four key concepts that " provide a theoretical framework which can be applied to the whole range of contemporary media and to ' older ' media as well: Production, Language, Representation, and Audience.

Within the biological sciences, there are theoretical approaches to understanding under what conditions some species live in groups ( typically due to the distribution of key food resources and patterns of predation ), and in particular, under what conditions significant social behaviors can evolve to become a typical feature of a species ( Kin selection theory ).

The key point of Zen of Assembly Language was that performance must always be measured, and the book included a measurement tool called the Zen Timer to check if theoretical code optimizations actually worked.

* 2001: James R. Holton for outstanding advances in the dynamics of the stratosphere through theoretical advances, perceptive use of models, and contributions to key measurement programs.

Ludwig Wittgenstein's later philosophy can be seen as a foundation for Social Constructivism, with its key theoretical concepts of language games embedded in forms of life.

He played a key role in lifting American theoretical physics to high international standing.

Slater, in his experimental and theoretical work on the magnetron ( key elements paralleled his prior work with self-consistent fields for atoms ) and on other topics at the Radiation Laboratory and at the Bell Laboratories did " more than any other person to provide the understanding requisite to progress in the microwave field ", in the words of Mervin Kelley, then head of Bell Labs, quoted by Morse.

A key characteristic of these theoretical factors is that none of them are natural or accidental in origin but instead arise from systemic elements of capitalism as a mode of production and basic social order.

One of the most striking characteristics of Gestalt Theoretical Psychotherapy is the key role of the epistemological grounding position of Gestalt theory ( critical realism ) and its applicability to the fundamental, theoretical and practical problems in psychotherapy.

Through his writings in the Red Papers, the theoretical journal of the Revolutionary Union, Avakian began to develop a method and approach with which to examine many of the key historical questions of the communist movement and theory, as well as the sharp and controversial issues of the day.

Although Diffie – Hellman key agreement itself is an anonymous ( non-authenticated ) key-agreement protocol, it provides the basis for a variety of authenticated protocols, and is used to provide perfect forward secrecy in Transport Layer Security's ephemeral modes ( referred to as EDH or DHE depending on the cipher suite ).

Isaacs however claimed that ' Freud's " hallucinatory wish-fulfilment " and his .." introjection " and " projection " are the basis of the fantasy life '; and how far unconscious fantasy was a genuine development of Freud's ideas, how far it represented the formation of a new psychoanalytic paradigm, is perhaps the key question of the Controversial discussions.

Labor, not labor power, is the key factor of production for Marx and the basis for Marx's labor theory of value.

Some key elements of the German Empire's authoritarian political structure were also the basis for conservative modernization in Imperial Japan under Meiji and the preservation of an authoritarian political structure under the Tsars in the Russian Empire.

Anger among some social groups, however, was seething under the governor-generalship of James Dalhousie ( 1847 – 1856 ), who annexed the Punjab ( 1849 ) after victory in the Second Sikh War, annexed seven princely states on the basis of lapse, annexed the key state of Oudh on the basis of misgovernment, and upset cultural sensibilities by banning Hindu practices such as Sati.

It played a key role in the development of the Renaissance, Reformation, the Age of Enlightenment and the Scientific Revolution and laid the material basis for the modern knowledge-based economy and the spread of learning to the masses.

Rashi's commentary on the Talmud continues to be a key basis for contemporary rabbinic scholarship and interpretation.

Crofting, the farming of small plots of land on a legally restricted tenancy basis, is still practiced and viewed as a key Shetland tradition as well as important source of income.

Once seriously questioned, the intermediates did not wait for the next Pan African Congress two years hence, but were officially rejected in 1965 ( again on an advisory basis ) by Burg Wartenstein Conference # 29, Systematic Investigation of the African Later Tertiary and Quarternary, a prestigious conference in anthropology held by the Wenner-Gren Foundation, at Burg Wartenstein Castle, which it then owned in Austria, attended by the same key scholars that attended the Pan African Congress, including Louis Leakey and Mary Leakey, who was delivering a pilot presentation of her typological analysis of Early Stone Age tools, to be included in her 1971 contribution to Olduvai Gorge, " Excavations in Beds I and II, 1960-1963.

" In a section of his paper entitled Destroying Lives, Breggin writes, " Even when these injured people can continue to function on a superficial social basis, they nonetheless suffer devastation of their identities due to the obliteration of key aspects of their personal lives.

This emphasis on the path through Mary to Christ ( which was also a basis for some of Louis de Montfort's writings ) has since been a key direction in Roman Catholic Mariology, with Mariology being viewed as inherent in Christology, and the rosary paving that path.

IBM has continued active development and marketing of the key Informix products, the current version of which 11. 7 forms the basis of several product editions with variation in capacity and functionality.

In 1786, the Virginia Statute for Religious Freedom ( drafted by Thomas Jefferson ) was passed at the temporary capitol in Richmond, providing the basis for the separation of church and state, a key element in the development of the freedom of religion in the United States.

The four-power occupation of Vienna differed in one key respect from that of Berlin: the central area of the city, known as the first district, constituted an international zone in which the four powers alternated control on a monthly basis.

Identity cards were issued on this basis, and these documents played a key role in the genocide of 1994.

McNamara's institution of systems analysis as a basis for making key decisions on force requirements, weapon systems, and other matters occasioned much debate.

Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.

Electronic sounds began to form the basis of a wide array of popular music in the late 1970s, and became key to the mainstream pop and rock sounds of the 1980s.

Local political parties are formed on an ad-hoc basis, generally focused on key issues of local concern ; national political parties do not officially participate in township elections.

VVAF ’ s Nuclear Threat Reduction Campaign ( NTRC ) educates and mobilizes key constituencies to advance US public policy on a bipartisan basis that reduces the threats posed by nuclear, biological and chemical weapons.

The Confucian works in particular have been of key importance to Chinese culture and history, as a set of works known as the Four Books and Five Classics were, in the 12th century CE, chosen as the basis for the Imperial examination for any government post.

Therefore, a key technique to understanding operators is a change of coordinates – in the language of operators, an integral transform – which changes the basis to an eigenbasis of eigenfunctions: which makes the equation separable.

The key basis governing the legality of any act of war is international law.