scholarly journals On Some Properties of Neutrosophic Semi Continuous and Almost Continuous Mapping

2022 ◽  
Vol 130 (2) ◽  
pp. 1017-1031
Author(s):  
Bhimraj Basumatary ◽  
Nijwm Wary ◽  
Jeevan Krishna Khaklary ◽  
Usha Rani Basumatary
2005 ◽  
Vol 2005 (1) ◽  
pp. 19-32 ◽  
Author(s):  
A. A. Ramadan ◽  
S. E. Abbas ◽  
A. A. Abd El-Latif

We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.


We introduce and study several interesting properties of fuzzy almost generalized e -continuous mappings in smooth topological spaces with counter examples. We also introduce fuzzy r - 1 2 fT e -space, r -fuzzy ge -space, r -fuzzy regular ge -space and r -fuzzy generalized e -compact space. It is seen that a fuzzy almost generalized e -continuous mapping, between a fuzzy r - 1 2 fT e -space and a fuzzy topological space, becomes fuzzy almost continuous mapping. Index Terms: fage -continuous, r - fge -space, r - fge -regular space, r - 1 2 fT e -space.


Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1689
Author(s):  
Bhimraj Basumatary ◽  
Nijwm Wary ◽  
Dimacha Dwibrang Mwchahary ◽  
Ashoke Kumar Brahma ◽  
Jwngsar Moshahary ◽  
...  

In this paper, we studied some properties of the neutrosophic multi topological group. For this, we introduced the definition of semi-open neutrosophic multiset, semi-closed neutrosophic multiset, neutrosophic multi regularly open set, neutrosophic multi regularly closed set, neutrosophic multi continuous mapping, and then studied the definition of a neutrosophic multi topological group and some of their properties. Moreover, since the concept of the almost topological group is very new, we introduced the definition of neutrosophic multi almost topological group. Finally, for the purpose of symmetry, we used the definition of neutrosophic multi almost continuous mapping to define neutrosophic multi almost topological group and study some of its properties.


1967 ◽  
Vol 28 ◽  
pp. 207-244
Author(s):  
R. P. Kraft

(Ed. note:Encouraged by the success of the more informal approach in Christy's presentation, we tried an even more extreme experiment in this session, I-D. In essence, Kraft held the floor continuously all morning, and for the hour and a half afternoon session, serving as a combined Summary-Introductory speaker and a marathon-moderator of a running discussion on the line spectrum of cepheids. There was almost continuous interruption of his presentation; and most points raised from the floor were followed through in detail, no matter how digressive to the main presentation. This approach turned out to be much too extreme. It is wearing on the speaker, and the other members of the symposium feel more like an audience and less like participants in a dissective discussion. Because Kraft presented a compendious collection of empirical information, and, based on it, an exceedingly novel series of suggestions on the cepheid problem, these defects were probably aggravated by the first and alleviated by the second. I am much indebted to Kraft for working with me on a preliminary editing, to try to delete the side-excursions and to retain coherence about the main points. As usual, however, all responsibility for defects in final editing is wholly my own.)


Author(s):  
Marco Cenzato ◽  
Roberto Stefini ◽  
Francesco Zenga ◽  
Maurizio Piparo ◽  
Alberto Debernardi ◽  
...  

Abstract Background Cerebellopontine angle (CPA) surgery carries the risk of lesioning the facial nerve. The goal of preserving the integrity of the facial nerve is usually pursued with intermittent electrical stimulation using a handheld probe that is alternated with the resection. We report our experience with continuous electrical stimulation delivered via the ultrasonic aspirator (UA) used for the resection of a series of vestibular schwannomas. Methods A total of 17 patients with vestibular schwannomas, operated on between 2010 and 2018, were included in this study. A constant-current stimulator was coupled to the UA used for the resection, delivering square-wave pulses throughout the resection. The muscle responses from upper and lower face muscles triggered by the electrical stimulation were displayed continuously on multichannel neurophysiologic equipment. The careful titration of the electrical stimulation delivered through the UA while tapering the current intensity with the progression of the resection was used as the main strategy. Results All operations were performed successfully, and facial nerve conduction was maintained in all patients except one, in whom a permanent lesion of the facial nerve followed a miscommunication to the neurosurgeon. Conclusion The coupling of the electrical stimulation to the UA provided the neurosurgeon with an efficient and cost-effective tool and allowed a safe resection. Positive responses were obtained from the facial muscles with low current intensity (lowest intensity: 0.1 mA). The availability of a resection tool paired with a stimulator allowed the surgeon to improve the surgical workflow because fewer interruptions were necessary to stimulate the facial nerve via a handheld probe.


2020 ◽  
Vol 54 (6) ◽  
pp. 58-72
Author(s):  
B.S. Shenkman ◽  
◽  
T.M. Mirzoev ◽  
I.B. Kozlovskaya ◽  
◽  
...  

The review is an attempt to describe and give a meaning to the accumulated data about the mechanisms controlling the structure and functionality of the postural muscle the almost continuous work of which makes it possible for the humans and animals to exist actively on Earth's surface. A great bulk of these data was obtained, described and systematized by professor I.B. Kozlovskaya and her pupils. A body of the most interesting facts and regularities was documented in other laboratories and research centers, quite often under the influence of ideas suggested by I.B. Kozlovskaya. The concept of the tonic system, that is, an integral physiological apparatus comprising not only slow and fast muscular fibers and small controlling motoneurons but also a complex of the brain (up to and including the striatum and motor cortex) and sensory mechanisms, constitutes the most important parts of her theoretical legacy. The fundamental conclusion of this review is that the gravity-dependent tonic contracting activity of the postural muscle controlled by the nervous system and afferent mechanisms is key to maintaining its structure, signal pathways and mechanic properties crucial for its constant anti-gravity activity.


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