Sentence examples for property calculus from inspiring English sources
According to the property calculus, (D^{alpha} P^{alpha} = I), we can easily obtain matrix (D^{alpha} ) by inverting the (P^{alpha} ) matrix.
In 1956 Prior wrote up his and Meredith's formal work on what he later described (1962a: 140) as the 'logic of world-accessibility', in a paper entitled 'Interpretations of Different Modal Logics in the "Property Calculus"' (Meredith and Prior 1956, first published in Copeland 1996).
Other landmarks were an address by Montague to a conference held at UCLA in 1955, Prior and Meredith's property calculus of 1956, lectures by Smiley in Cambridge in1957 (Smiley pursued an algebraic approach), Kanger (1957), Hintikka (1957, 1961) and Kripke (1959a, 1959b, 1963).
(Geach referred to the whole business as 'Trans World Airlines'.) With this interpretation of U to hand, the property calculus can be viewed as treating (□p a — or 'Necessarily-p in world a' — as short for 'p is true in all worlds accessible from a'.
Therefore, it seems interesting to study the properties and calculus for the solutions of equation (1.1) as some special Gaussian process.
Every property in classical calculus has an analogue in non-Newtonian calculus.
According to the property of fractional calculus, (D_{alpha} F_{alpha} = I), we can easily obtain the matrix (D_{alpha}) by inverting the (F_{alpha}) matrix.
Furthermore, to construct the solutions for impulsive fractional differential equations, we need to effectively manage the fractional derivative and impulsive conditions due to the memory property of fractional calculus [53, 60, 61].
Moreover, to construct solutions for impulsive fractional differential equations, we should properly handle the fractional derivative and impulsive conditions due to the memory property of fractional calculus (see [11 13]).
By using a singular Gronwall inequality and the properties of fractional calculus, the existence of global solution under the framework of Filippov for FNNDAs is proved.
Now, we give some results and properties of fractional calculus.
