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But the Spanish investigator said the initial calculus suggested that the expenses for material in the train bombings could have been less than $1,000, and that the suspects identified thus far appear to have lived very modestly.
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These documents show his initial work in understanding calculus.
For recent studies in discrete fractional calculus involving initial boundary value problems, see [5 32].
In this paper, continuing the study of Tariboon and Ntouyas (Adv. Differ. Equ. 2013:2013 2013), we apply the quantum calculus to initial value problems for impulsive first- and second-order q k -difference inclusions.
With this connection realized, it is a routine to prove the initial rules of Hoare's calculus using exclusively the axiomatization of PDL.
Very recently Jia et al. have investigated asymptotic behavior of solutions to initial value problems in discrete fractional calculus [68 70].
As an initial measurement, a pre-test on integral calculus was administered to these students to check their integral calculus background.
Logic is not simply a useful calculus following on from an initial choice of primitives, and Anderson's logic is not simply one version of predicate calculus among others.
Gottfried Leibniz and Guilliaume L'Höpital sparked initial curiosity into the theory of fractional calculus during a 1695 correspondence on the possible value and meaning of non-integer-order derivatives.
To show that the class of recursive functions can be represented in the λ-calculus, one follows its definition; the step-by-step construction of an arbitrary recursive function from the initial functions can be mimicked in the λ-calculus.
This corresponds to the idea of the logical sequent calculus, in which one often restricts initial sequents to the atomic case, i.e., to the case, where no meaning-determining right and left introduction rules are available.
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