Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.

Using Wick theorem on the terms of the Dyson series, all the terms of the S-matrix for quantum electrodynamics can be computed through the technique of Feynman diagrams.

Using the view factor reciprocity, A < sub > i </ sub > F < sub > ij </ sub > = A < sub > j </ sub > F < sub > ji </ sub >, the update equation can also be re-written in terms of the view factor F < sub > ji </ sub > seen by each sending patch A < sub > j </ sub >:

Using a common-view measurement method based on the received signals from radio station WWV, they determined the orbital motion of the Moon about the Earth, from which the apparent motion of the Sun could be inferred, in terms of time as measured by an atomic clock.

Using Fregean terms: whenever their presuppositions hold, the two hypotheses have the same referent ( truth-value ), but different senses ; that is, they express two different ways to determine that truth-value.

Using Landau symbols, the worst case running time of CYK is, where n is the length of the parsed string and | G | is the size of the CNF grammar G. This makes it one of the most efficient parsing algorithms in terms of worst-case asymptotic complexity, although other algorithms exist with better average running time in many practical scenarios.

* oxymoron: Using two terms together, that normally contradict each other

Using eggs as a canvas has become so popular that special terms have developed with the art form.

Using his platform and rhetorical style, Earl Long became governor in 1939 following the resignation of Richard Leche and was elected to subsequent terms in 1948 and 1956.

Using Kuratowski's representation for an ordered pair, the second definition above can be reformulated in terms of pure set theory:

Using the first two terms of the Taylor expansion:

Using the periodicity of the trajectory, we can split the radiation integral into a sum over terms.

Using this approach, a product is evaluated in terms of energy consumed, atmospheric and waterborne emissions generated and solid waste created for disposal.

Using MeSH terms in conjunction with limits ( such as publication date or publication type ), qualifiers ( such as adverse effects or prevention and control ), and text-word searching is another.

Using the orthogonality relation where is the Kronecker delta, we simplify the above three terms for each to see

Using Stirling's approximation for the Gamma function which omits terms of less than order N, the entropy for large N becomes:

* Using technically correct terms with negative connotations ( e. g. " It is a conspiracy theory to say our corporation secretly funded global warming skeptics for practical purposes ")

Using the tools of category theory, the task of finding a characterization of topological spaces in terms of their open set lattices is equivalent to finding a functor from Frm to Top which is adjoint to Ω.

In general terms, the humanities approach has concerned itself with the question of “ What meanings are made through games ?” Using tools and methods such as interviews, ethnographies and participant observation, researchers have investigated the various roles that videogames play in people ’ s lives and activities together with the meaning they assign to their experiences.

Using Ohm's law, J σE, which relates current density J to electric field E in terms of a material's conductivity σ, and assuming isotropic homogeneous conductivity, the equation can be written as

Using a compact car as basis, in terms of size, it was larger than most superminis like the Ford Fiesta and Opel Corsa / Vauxhall Nova, but smaller than any small family car such as the Ford Escort and Opel Kadett / Vauxhall Astra.

Using notable sociological and anthropological field studies as the grounding for such general ideas, the book makes a persuasive case for treating groups as social systems that can be analyzed in terms of a verbal analogue of the mathematical method of studying equilibrium and stability of systems.

Using terms reminiscent of the Platonists, Philo described the intellectual component of faith as a sort of spiritual ecstasy in which our nous ( mind ) is suspended and God's Spirit takes its place.

Using materials such as Cults of Prax, players aligned their characters with any of several distinct religions, grounding those characters in the political, cultural, and metaphysical conflicts of Glorantha.

Using the Emergency-era Internal Security Act ( ISA ), the new government suspended Parliament and political parties, imposed press censorship and placed severe restrictions on political activity.

Using vernacular language that would be understandable to the majority of China's populace, he put forward his socialist political views, calling for revolution against the government ; in one notable article, he proclaimed the need for a " Great Union of the Popular Masses ", but failed to put forward an expressly Marxist analysis of how that revolution should proceed.

Using The Movies, Alex Chan, a French resident with no previous filmmaking experience, took four days to create The French Democracy, a short political film about the 2005 civil unrest in France.

Using Stroessner's National Constitution, Rodríguez orchestrated a political campaign with the Colorado Party and won the presidency in an election held on May 1989 in which the Colorado Party dominated the Congress.

Using intimidation tactics and clever political machinations that disqualified one opposition party and caused another to refuse to participate, Eyadéma won the 1993 presidential elections with more than 96 % of the vote.

Using her own supporters at court, and the patronage of her French family, Isabella attempted to find a political path through these challenges ; she successfully formed an alliance with Gaveston, but after his death at the hands of the barons her position grew increasingly precarious.

Using their mandate to protect and enforce the peace, the Spartans proceeded to launch a number of campaigns against poleis that they perceived as political threats.

Using political connections, Mayer called on the Justice Department's anti-trust unit to block the merger despite that MGM itself coupled with Loews Theatres was considered being in violation of anti-trust rules.

Using the thorny political issue of South Asian labourers (' coolies '), the South Africans convinced Prime Minister Sir Henry Campbell-Bannerman and, with him, the cabinet and Parliament.

Using theory and methods drawn from such behavioral sciences as industrial / organizational psychology, industrial sociology, communication, cultural anthropology, administrative theory, organizational behavior, economics, and political science, the change agent's main function is to help the organization define and solve its own problems.

Using the money his community raised for his studies, and a graduate scholarship from Harvard University, he earned a doctorate in political science.

Using his growing popularity among Alaskan Republicans and growing political clout in Washington, Hickel was able to travel to the nation's capital to engage in talks with key Republicans in both the U. S. Congress and within the Eisenhower Administration to speak about Alaskan statehood.

Using land won for them by Pepin in 756, the popes established political rule in what were called the Papal States in central Italy.

Using Emerson ’ s broad network of political alumni, Emerson students, through CPLA, have and will continue to make an impact in the social and political realms, and develop relationships that will benefit them individually in the future.

Using his connections in both alumni of the Yonsei and political backing, he managed to do well, and consecutively bought many different companies.

Using the term " Union " to apply to the non-secessionist side carried a connotation of legitimacy as the continuation of the pre-existing political entity.

Using such insights, he gradually established such mastery over the Brazilian political world that he stayed in power for 15 years.

Using Altemeyer's scholarly work, he contends that there is a tendency toward ethically questionable political practices when authoritarians are placed in positions of power, and that the current political situation is dangerously unsound because of it.

Using both quantitative and qualitative methods, the studies examine important questions by applying techniques from public policy, economics, political science, sociology and other disciplines to reach findings borne out by data.

Using one word or the other is a quick way to announce one's political views.