Using these two examples, we can make some useful observations that motivate the major ideas in lambda calculus.

Using a branch of mathematics known as tuple calculus, he demonstrated that such a system could support all the operations of normal databases ( inserting, updating etc.

Using the techniques of differential calculus, the velocity and acceleration as a function of time can be found:

Using differential calculus, we can determine the limit, or the value that Δy / Δx approaches as Δy and Δx get closer to zero ; it follows that this limit is the exact slope of the tangent.

Using the probability calculus of Bayes Theorem, Salmon concludes that it is very improbable that the universe was created by the type of intelligent being theists argue for.

Using geometry and calculus, some simple combinations of sources are easily solved ; others are not.

Using a method called " calculus of statement ," Lentz helps the team to mitigate the pressure harming the plant operators.

Using the fundamental theorem of calculus often requires finding an antiderivative.

Using this in the sum, one can evaluate the remaining integral using the calculus of residues and arrive at the desired generating function.

Using the limit notation of calculus, the volume may be expressed as:

Using tensor calculus, proper time is more rigorously defined in general relativity as follows: Given a spacetime which is a pseudo-Riemannian manifold mapped with a coordinate system and equipped with a corresponding metric tensor, the proper time experienced in moving between two events along a timelike path P is given by the line integral

Using differential calculus we can obtain conditions on x under which this holds.

Using the parametrization of the hyperbola with hyperbolic angle, the theory of special relativity provided a calculus of relative motion with the one-parameter group indexed by rapidity.

* Using process calculus to model biological systems ( stochastic-calculus, BioAmbients, Beta Binders, BioPEPA, Brane calculus ).

Using calculus, Gershun could compute the irradiance falling on points () on a surface.

Using the functional calculus for larger classes of functions, we can for example define rigorously the " square root " of the ( negative ) Laplacian operator − Δ or the exponential

Using the bounded functional calculus, one can prove part of the Stone's theorem on one-parameter unitary groups:

Using modern predicate calculus, we quickly discover that the statement is ambiguous.

Using digital computers, on the other hand, both FIR and IIR filters are straightforward to implement in software.

Using this signal, it is possible to implement a separate stack memory space.

Using the proper subset of hardware description language, a program called a synthesizer ( or synthesis tool ) can infer hardware logic operations from the language statements and produce an equivalent netlist of generic hardware primitives to implement the specified behaviour.

* Using sign-magnitude representation requires only complementing the sign bit of the subtrahend and adding, but the addition / subtraction logic needs to compare the sign bits, complement one of the inputs if they are different, implement an end-around carry, and complement the result if there was no carry from the most significant bit.

Using a similar idea, transparencies can be used to implement a one-time pad encryption, where one transparency is a shared random pad, and another transparency acts as the ciphertext.

Using this incident to fuel paranoia and anti-alien sentiment on Earth, President Clark declares martial law, effectively neutralizing the inquiry regarding his involvement in former President Santiago's assassination as well as allowing him more leg room to implement his xenophobic and totalitarian plans for Earth.

Using tunnel mode capability, firewall can be used to implement VPNs.

Using Message Broker, one can implement a WebServices front-end, complete with WSDL file support that can interact with any queue-based application.

Using computer-assisted instruction to implement programs for individuals with ASD that target skills in decoding could be an effective way to help improve these skills in these individuals.

* Fire play: Using fire as an implement of BDSM.

Using what they learned on their project, they attempted to implement their techniques on projects at Disney.

Using an embedded method brings the power that the method is designed to implement the software product that the method comes with.

Using an embedded method brings the power that the method is designed to implement the software product that the method comes with.

Using the biblical Book of Revelation as a point of departure, Caesar Antichrist presents a parallel world of extreme formal symbolism in which Christ is resurrected not as an agent of spirituality but as an agent of the Roman Empire that seeks to dominate spirituality.

Using programs or proofs of bounded lengths, it is possible to construct an analogue of the Berry expression in a formal mathematical language, as has been done by Gregory Chaitin.

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.

In order to develop an educational paradigm that would provide an intellectual base that would lead to a consciousness of social responsibility, Herbart advocated that teachers utilize a methodology with five formal steps: “ Using this structure a teacher prepared a topic of

Using such formal reasoning, one may already guess that for a stationary random process, the power spectral density and the autocorrelation function of this signal, should be a Fourier pair.

Using classical and renaissance decorative motives, Herrerian buildings are characterized by their extremely sober decorations, its formal austerity, and its like for monumentality.

Using formal channels against decisions, using internal procedures, bringing appeals to the appropriate committee or commission, and launching legal actions has also been used to enact desired changes.

Using an empirically based sharp formal definition of " domination " in a two-country relationship, Piana in 2004 defined the " core " as made up of " free countries " dominating others without being dominated, the " semi-periphery " as the countries which are dominated ( usually, but not necessarily, by core countries ) while at the same time dominating others ( usually in the periphery ), and " periphery " as the countries which are dominated.

Using formal constraint to shape and sharpen his examinations of historical and personal events, Tillinghast is often concerned with the elusive nature of home.

Using his formal background in graphic design, Tremaine took a job as the art and editorial editor at Big Brother magazine in 1992.

Using a backchannel for educational purposes can function as a formal class activity or even an independent discussion without instructor participation and awareness.