On neutro-H v -semigroups

2021 ◽  
pp. 1-11
Author(s):  
Saeed Mirvakili ◽  
Florentin Smarandache ◽  
Akbar Rezaei

In this paper, we extend the notion of Hv-semigroups to neutro-Hv-semigroups and anti-Hv-semigroups and investigate many of their properties. We show that these new concepts are different from the classical concept of Hv-semigroups by presenting several examples. In general, the neutro-algebras and anti-algebras are generalizations and alternatives of classical algebras. The goal and benefits of our proposed extension of this study is to explore not only the hyperoperations and axioms that are totally true as in previous algebraic hyperstructures, but also the cases when they have degrees of truth, indeterminacy and falsehood. Therefore, we enlarge the field of research.

Author(s):  
Arthur V. Jones

In comparison with the developers of other forms of instrumentation, scanning electron microscope manufacturers are among the most conservative of people. New concepts usually must wait many years before being exploited commercially. The field emission gun, developed by Albert Crewe and his coworkers in 1968 is only now becoming widely available in commercial instruments, while the innovative lens designs of Mulvey are still waiting to be commercially exploited. The associated electronics is still in general based on operating procedures which have changed little since the original microscopes of Oatley and his co-workers.The current interest in low-voltage scanning electron microscopy will, if sub-nanometer resolution is to be obtained in a useable instrument, lead to fundamental changes in the design of the electron optics. Perhaps this is an opportune time to consider other fundamental changes in scanning electron microscopy instrumentation.


1971 ◽  
Vol 4 (2) ◽  
pp. 431-443
Author(s):  
LaVonne Bergstrom ◽  
Janet Stewart

2017 ◽  
Vol 47 (2) ◽  
pp. 350-359
Author(s):  
Aoife Lynch

This essay views science as a creative mask for the poetry and philosophy of W.B. Yeats. It explores the changing worldview which occurred at the beginning of the twentieth century with the discovery of wave-particle duality by Max Planck in 1900. It considers the new concepts of reality which arose at this time in relation to modernism and Yeats's response to the paradigmatic change of era he was a part of. Accordingly, the poet's understanding of universal history in A Vision (1925, 1937) is used alongside close readings of his poetry to evince an argument which unites that poetry with philosophy, scientific theory, and modernism as aspects of one universe of knowledge which refracts different aspects of itself through the prism of time.


2015 ◽  
Vol 52 (3) ◽  
pp. 350-370
Author(s):  
Jaroslav Hančl ◽  
Katarína Korčeková ◽  
Lukáš Novotný

We introduce the two new concepts, productly linearly independent sequences and productly irrational sequences. Then we prove a criterion for which certain infinite sequences of rational numbers are productly linearly independent. As a consequence we obtain a criterion for the irrationality of infinite products and a criterion for a sequence to be productly irrational.


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