The Dyson series, the formal solution of an explicitly time-dependent Schrödinger equation by iteration, and the corresponding Dyson time-ordering operator an entity of basic importance in the mathematical formulation of quantum mechanics, are also named after Dyson.

" Planck explicitly assumed and stated it in its customary present-day wording in his formulation of the first two laws.

The 20th century would see a continued expansion of acceptable practice, leading to the formulation of ideas by which there existed a " sonata principle " or " sonata idea " that unified works of the type, even if they did not explicitly meet the demands of the normative description.

Where Gumperz formulation was designed to incorporate heterogeneity, by focusing on shared norms of language use rather than a shared linguistic system, Chomsky's definition explicitly rejected it.

This would include explicitly formulating the problems experienced by the patient, and sharing this formulation with the patient to engage them in psychotherapy as a co-operative enterprise.

In the original formulation of the situation calculus, the initial situation, later denoted by, is not explicitly identified.

The parameterized post-Newtonian formalism or PPN formalism is a version of this formulation that explicitly details the parameters in which a general theory of gravity can differ from Newtonian gravity.

Insightful book about the application of General Semantics to psychotherapy ; was an acknowledged influence on Richard Bandler and John Grinder in their formulation of Neuro-Linguistic Programming.

The Declaration of Geneva was intended as a revision of the Oath of Hippocrates to a formulation of that oath's moral truths that could be comprehended and acknowledged in a modern way.

In the article, Heisenberg credited Born and Jordan for the final mathematical formulation of matrix mechanics and Heisenberg went on to stress how great their contributions were to quantum mechanics, which were not “ adequately acknowledged in the public eye .”

In the following year the University of Erlangen gave him the degree of D. D., and he acknowledged this honor by his Lehre vom Abendmahle ( Leipzig, 1851 ), a formulation of the type of Lutheranism taught at Erlangen.

Taylor has acknowledged the influence of Benedict Anderson in his formulation of the concept of the social imaginary.

6. making a distinction between observation and formulation ( renunciatiatio ).

The earliest formulation of the self in modern psychology form the distinction between the self as I, the subjective knower, and the self as Me, the object that is known.

" ** The Transactional Interpretation of Quantum Mechanics " 3. 10 The Arrow of Time in the Transactional Interpretation – The formalism of quantum mechanics, at least in its relativistically invariant formulation, is completely even handed in dealing with the " arrow " of time, the distinction between future and past time directions.

Some of the significant achievements of early Muslim philosophers included the development of a strict science of citation, the isnad or " backing "; the development of a method of open inquiry to disprove claims, the ijtihad, which could be generally applied to many types of questions ( although which to apply it to is an ethical question ); the willingness to both accept and challenge authority within the same process ; recognition that science and philosophy are both subordinate to morality, and that moral choices are prior to any investigation or concern with either ; the separation of theology ( kalam ) and law ( shariah ) during the early Abbasid period, a precursor to secularism ; the distinction between religion and philosophy, marking the beginning of secular thought ; the beginning of a peer review process ; early ideas on evolution ; the beginnings of the scientific method, an important contribution to the philosophy of science ; the introduction of temporal modal logic and inductive logic ; the beginning of social philosophy, including the formulation of theories on social cohesion and social conflict ; the beginning of the philosophy of history ; the development of the philosophical novel and the concepts of empiricism and tabula rasa ; and distinguishing between essence and existence.

The earliest formulation of the self in modern psychology derived from the distinction between the self as I, the subjective knower, and the self as Me, the object that is known.

Schmitt, in perhaps his best-known formulation, bases his conceptual realm of state sovereignty and autonomy upon the distinction between friend and enemy.

Still another formulation of the distinction is between ens per essentiam and ens per participationem, i. e., being that exists by reason of its essence and being that exists only by participation in a being that exists on its own ( eigentlich ).

The distinction is of significance because in Freud's formulation the Unconscious is " dynamically " unconscious, the Preconscious merely " descriptively " so: the contents of the Unconscious require special investigative techniques for their exploration, whereas something in the Preconscious is unrepressed and can be recalled to consciousness by the simple direction of attention.

In another formulation, it is the distinction between what is ( can be discovered by science, philosophy, or reason ) and what ought to be ( a judgment agreed to by consensus ).

Fichte's system, called the Wissenschaftslehre, had begun with a fundamental distinction between dogmatism ( fatalistic ) and criticism ( free ), as his formulation of idealism.

The Knudsen number can be used to guide the choice between statistical mechanics and the continuous formulation of aerodynamics.

The development of strong administrative structures, in particular those related to extraction of taxes, is closely associated with the intense warfare between predatory European states in the 17th and 18th centuries, or in Charles Tilly's famous formulation: " War made the state and the state made war ".

It was the formulation of Mary as the Theotokos which caused a schism with the Church of the East, now divided between the Assyrian Church of the East and the Ancient Church of the East, while the Chaldean Catholic Church entered into full communion with Rome in the 16th century.

The problems other philosophers have had with Mill's position center around the following issues: Firstly, Mill's formulation encounters difficulty when it describes what direct experience is by differentiating only between actual and possible sensations.

The Spaniard, Michael Servetus denounced the orthodox Christian formulation of the Trinity ( demonstrating the only explicit reference to the Trinity in the New Testament to be a later interpolation ); and hoped thereby to bridge the doctrinal divide between Christianity and Islam.

The first formal formulation was proposed by Étienne Serres in 1824 – 26 as what became known as the " Meckel-Serres Law ", it attempted to provide a link between comparative embryology and a " pattern of unification " in the organic world.

Unlike Structuralists, however, the Post-structuralists questioned the division between relation and component and, correspondingly, did not attempt to reduce the subjects of their study to an essential set of relations that could be portrayed with abstract, functional schemes or mathematical symbols ( as in Claude Lévi-Strauss's algebraic formulation of mythological transformation in " The Structural Study of Myth ").

An alternative formulation of quantum mechanics is Feynman's path integral formulation, in which a quantum-mechanical amplitude is considered as a sum over all possible histories between the initial and final states.

However, the formulation of a complete theory of quantum gravity is hindered by apparent incompatibilities between general relativity ( the most accurate theory of gravity currently known ) and some of the fundamental assumptions of quantum theory.

Similarly, in the power formulation, power can be distributed by generating a set of rays from the radiating element in the same way, and spreading the power to be distributed equally between each element a ray hits.

Subsequently, Edwin Hubble discovered an approximate relationship between the redshifts of such " nebulae " ( now known to be galaxies in their own right ) and the distances to them with the formulation of his eponymous Hubble's law.

This formulation implicitly acknowledges that Sapir and Whorf were not the first or only scholars to have theorized about relations between language and thought and that other strands of thinking about the issue also exist.

Adams concludes that “ right action, by act-utilitarian standards, and right motivation, by motive-utilitarian standards, are incompatible in some cases .” The necessity of this conclusion is rejected by Fred Feldman who argues that “ the conflict in question results from an inadequate formulation of the utilitarian doctrines ; motives play no essential role in it …( and that )… Precisely the same sort of conflict arises even when MU is left out of consideration and AU is applied by itself .” Instead, Feldman proposes a variant of act utilitarianism that results in there being no conflict between it and motive utilitarianism.

Because a wormhole time-machine introduces a type of nonlinearity into quantum theory, this sort of communication between parallel universes is consistent with Joseph Polchinski ’ s discovery of an “ Everett phone ” in Steven Weinberg ’ s formulation of nonlinear quantum mechanics.

There has been considerable debate between the logical school, which uses mathematical language, and the epistemological school, which employs concepts such as knowledge, belief and memory, over which formulation is correct.

The most influential formulation was by Immanuel Kant, who distinguished between the causal deterministic framework the mind imposes on the world — the phenomenal realm — and the world as it exists for itself, the noumenal realm, which included free will.

So the inverse relation between momentum and wavelength is consistent with the energy the particle has, and so the energy of the particle has a connection to a wave, all in the same mathematical formulation.

A permanent, unified and politically neutral civil service, in which appointments were made on merit, was introduced on the recommendations of the Northcote-Trevelyan Report of 1854, which also recommended a clear division between staff responsible for routine (" mechanical ") work, and those engaged in policy formulation and implementation in an " administrative " class.

This symbiotic relationship between industry and security is reflected in the formulation, application, and enforcement of BIS rules and policies.

1 ) The World Social Forum is an open meeting place for reflective thinking, democratic debate of ideas, formulation of proposals, free exchange of experiences and interlinking for effective action, by groups and movements of civil society that are opposed to neo-liberalism and to domination of the world by capital and any form of imperialism, and are committed to building a planetary society directed towards fruitful relationships among Mankind and between it and the Earth.

Intuitively, one can understand this second formulation by noting that an elastic band stretched between two points will contract its length, and in so doing will minimize its energy.