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The design calculus is based on the predicate logic in Hoare and He's Unifying Theories of Programming (UTP).
The S-functional calculus is based on the notion of S-spectrum which, in the case of quaternionic normal operators on a Hilbert space, is also the notion of spectrum that appears in the quaternionic spectral theorem.
Fractional calculus is based on the definition of integral and fractional operators (I^{H}_{a}) and (D^{H}_{a}).
The classical fractional calculus is based on several definitions for the operators of integration and differentiations of arbitrary order [23].
America can be a land where political calculus is based on the truth.
We are most fearful of a mythologized criminal -- a young black man, selling drugs and gang-affiliated who will kill us as we walk in the street -- and our entire criminal justice calculus is based on this largely unrealistic fear.
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His two-volume Treatise of Fluxions (1742), a defense of the Newtonian method, was written in reply to criticisms by Bishop George Berkeley of England that Newton's calculus was based on faulty reasoning.
To overcome this difficulty, the proponents of the finite difference method have worked on establishing the possibility of finite difference calculus being based on an arbitrary disposition of collocation points.
Analytic concepts such as limits, derivatives, integrals, and infinite series (all explained in the sections Technical preliminaries and Calculus) are based upon algebraic ideas, together with error estimates that define the limiting process: certain numbers must be arbitrarily well approximated by particular algebraic expressions.
Much of developed theories of fractional calculus were based upon the familiar Riemann-Liouville activity related to the q-calculus has been noticed due to applications of this theory in mathematics, statistics and physics.
Visually, Calculus was based on a real scientist, the Swiss inventor Auguste Piccard, who had been the first man to explore the stratosphere in a hot air balloon in 1931.
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