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Abstract:The production of a specific type of part entails a lengthy assembly process, concluding with a short firing period in a furnace. Given the high operational costs of the furnace, multiple assemblers share a single furnace, which can fire only one part at a time. The objective of this study is to determine the optimal number
Abstract:This paper focuses on the validity and reducibility of the non-trivial generalized syllogisms with the quantifiers in Square{some} and Square{fewer than half of the}. To this end, this paper firstly presents knowledge representations of generalized syllogisms, and then proves the validity of the syllogism FMO-3, and subsequ
Abstract:This paper firstly proves the validity of the generalized syllogism MMI-4 with the quantifiers in Square{most} and Square{some}, and then making full use of the relevant definitions, facts, and reasoning rules to infer the other 20 valid generalized ones from the syllogism MMI-4. In other words, there are reducible relation
Abstract:Using a primitive formulation of the circle method together with a random number generator , which is based on the naive notion of randomness, we prove there exists an infinite number of twin primes. Then we show that a deduction, crucial to the proof, which is immediately implied by , is false.
Abstract:The generalized modified Bessel distribution is one of the most suitable mixed distributions. It is the result of mixing the normal distribution with the generalized inverse Gaussian distribution. In this paper, The optimal sample size Analysis has been taken from the generalized modified Bessel population to estimate
Abstract:In this paper, we study the existence of solutions for quasi-linear fractional differential equations with non-local condition using the Schauder fixed point theorem in Banach space. Later, we discuss a particular example which satisfies all the existence conditions.
Abstract:In this paper, we study the existence and uniqueness of solutions for Hadamard fractional sequential differential systems involving the Hadamard fractional derivative with orders α ∈ (1,2] and β ∈ (2,3]. The main tools in our study are Banach fixed point theorem and schauder fixed point theorem. An example is provided to il
Abstract:On the basis of set theory, propositional logic and generalized quantifier theory, this paper indicates that the other 23 valid syllogisms can be only derived from the syllogism IAI-4. These derivations use the symmetry of quantifiers no and some, the definitions of inner and outer negation of Aristotelian quantifiers, dedu
Abstract:The simple and feasible methods for screening valid generalized modal syllogisms are as follows: (1) First, prove the validity of a generalized syllogism, then add at least one necessary modality (□) or possible modality (◇) to this syllogism, (2) Secondly, according to the basic fact that the conclusion of a modal syllogis
