scholarly journals Minimally Supported Frequency (MSF) d-Dilation Wavelets

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1284
Author(s):  
Aparna Vyas ◽  
Gibak Kim
Keyword(s):  
Infinite Number ◽  
Geometric Construction ◽  
The Other ◽  
Wavelet Sets ◽  
Number Of Components ◽  
Wavelet Set

In this paper, we provide a geometric construction of a symmetric 2n-interval minimally supported frequency (MSF) d-dilation wavelet set with d∈(1,∞) and characterize all symmetric d-dilation wavelet sets. We also provide two special kinds of symmetric d-dilation wavelet sets, one of which has 4m-intervals whereas the other has (4m+2)-intervals, for m∈N. In addition, we construct a family of d-dilation wavelet sets that has an infinite number of components.

scholarly journals On connectedness of power graphs of finite groups

2018 ◽  
Vol 17 (10) ◽  
pp. 1850184 ◽  
Author(s):  
Ramesh Prasad Panda ◽  
K. V. Krishna
Keyword(s):  
Finite Groups ◽  
Upper Bound ◽  
The Other ◽  
Number Of Components ◽  
Cyclic Groups ◽  
Power Graph ◽  
Vertex Set ◽  
Proper Power

The power graph of a group [Formula: see text] is the graph whose vertex set is [Formula: see text] and two distinct vertices are adjacent if one is a power of the other. This paper investigates the minimal separating sets of power graphs of finite groups. For power graphs of finite cyclic groups, certain minimal separating sets are obtained. Consequently, a sharp upper bound for their connectivity is supplied. Further, the components of proper power graphs of [Formula: see text]-groups are studied. In particular, the number of components of that of abelian [Formula: see text]-groups are determined.

Changes in protein spectra of bean seed during germination

1970 ◽  
Vol 48 (7) ◽  
pp. 1347-1350 ◽  
Author(s):  
Pei-Show Juo ◽  
G. Stotzky
Keyword(s):  
Acetic Acid ◽  
Phaseolus Vulgaris ◽  
Basic Protein ◽  
The Other ◽  
Globulin Fraction ◽  
Bean Seed ◽  
Basic Proteins ◽  
Number Of Components ◽  
Red Kidney Bean ◽  
Protein Spectra

Globulins, albumins, and basic proteins were extracted from seeds of red kidney bean (Phaseolus vulgaris), and their distribution was in a ratio of about 3:2:1, respectively. The globulin fraction constituted a major portion of the reserve proteins and was hydrolyzed rapidly during germination. More than 90% of the basic proteins, extractable with 0.05 N acetic acid, disappeared 12 days after germination. Although the decrease in total albumin was not as marked as with the other two fractions, a number of components of this fraction disappeared during the early stages of germination, but several new components were detected about 8 days after germination. The apparent synthesis of new globulin components during germination was also observed, but no synthesis of basic protein could be detected.

COMPUTING THE RUPTURE DEGREE IN COMPOSITE GRAPHS

2010 ◽  
Vol 21 (03) ◽  
pp. 311-319 ◽  
Author(s):  
AYSUN AYTAC ◽  
ZEYNEP NIHAN ODABAS
Keyword(s):  
Complete Graph ◽  
Connected Graph ◽  
The Other ◽  
Trade Off ◽  
Number Of Components ◽  
Np Complete ◽  
Work Done ◽  
Better Than

The rupture degree of an incomplete connected graph G is defined by [Formula: see text] where w(G - S) is the number of components of G - S and m(G - S) is the order of a largest component of G - S. For the complete graph Kn, rupture degree is defined as 1 - n. This parameter can be used to measure the vulnerability of a graph. Rupture degree can reflect the vulnerability of graphs better than or independent of the other parameters. To some extent, it represents a trade-off between the amount of work done to damage the network and how badly the network is damaged. Computing the rupture degree of a graph is NP-complete. In this paper, we give formulas for the rupture degree of composition of some special graphs and we consider the relationships between the rupture degree and other vulnerability parameters.

Orthonormal basis of wavelets with customizable frequency bands

2016 ◽  
Vol 14 (06) ◽  
pp. 1650050 ◽  
Author(s):  
Hiroshi Toda ◽  
Zhong Zhang
Keyword(s):  
Frequency Domain ◽  
Infinite Number ◽  
Orthonormal Basis ◽  
The Other ◽  
Just Intonation ◽  
Frequency Bands ◽  
Orthonormal Bases ◽  
Major Scale ◽  
Dilation Factor ◽  
New Type

We already proved the existence of an orthonormal basis of wavelets having an irrational dilation factor with an infinite number of wavelet shapes, and based on its theory, we proposed an orthonormal basis of wavelets with an arbitrary real dilation factor. In this paper, with the development of these fundamentals, we propose a new type of orthonormal basis of wavelets with customizable frequency bands. Its frequency bands can be freely designed with arbitrary bounds in the frequency domain. For example, we show two types of orthonormal bases of wavelets. One of them has an irrational dilation factor, and the other is designed based on the major scale in just intonation.

Determination of Stresses in Cemented Lap Joints

1953 ◽  
Vol 20 (3) ◽  
pp. 355-364
Author(s):  
R. W. Cornell
Keyword(s):  
Differential Equations ◽  
Infinite Number ◽  
Lap Joints ◽  
The Other ◽  
Complete Analysis ◽  
Stress Distributions ◽  
Lap Joint ◽  
Analogy Method ◽  
Set Up

Abstract A variation and extension of Goland and Reissner’s (1) method of approach is presented for determining the stresses in cemented lap joints by assuming that the two lap-joint plates act like simple beams and the more elastic cement layer is an infinite number of shear and tension springs. Differential equations are set up which describe the transfer of the load in one beam through the springs to the other beam. From the solution of these differential equations a fairly complete analysis of the stresses in the lap joint is obtained. The spring-beam analogy method is applied to a particular type of lap joint, and an analysis of the stresses at the discontinuity, stress distributions, and the effects of variables on these stresses are presented. In order to check the analytical results, they are compared to photoelastic and brittle lacquer experimental results. The spring-beam analogy solution was found to give a fairly accurate presentation of the stresses in the lap joint investigated and should be useful in analyzing other cemented lap-joint structures.

Vibration of an Infinitely Extending Plate Resting on an Elastic Foundation

1963 ◽  
Vol 30 (3) ◽  
pp. 355-362 ◽  
Author(s):  
Kazuyosi Ono
Keyword(s):  
Free Vibration ◽  
Elastic Foundation ◽  
Infinite Number ◽  
Free Vibrations ◽  
Forced Vibrations ◽  
The Other ◽  
Damped Oscillation

Free vibrations and forced vibrations of an infinitely extending plate resting on an elastic foundation and carrying a mass are solved. Then the amplitudes of the free vibrations produced by an impulse applied to the mass on the plate are determined, and it is found that two kinds of vibration are produced in the plate: One is a free vibration and the other is a special vibration, which consists of an infinite number of free vibrations and resembles a damped oscillation.

CLASSICAL LINK INVARIANTS AND THE HAWAIIAN EARRINGS SPACE

1992 ◽  
Vol 01 (04) ◽  
pp. 327-342
Author(s):  
TIM D. COCHRAN
Keyword(s):  
Infinite Number ◽  
Number Of Components ◽  
Link Invariants ◽  
Classical Link

We show that, in search of link invariants more discriminating than Milnor's [Formula: see text]-invariants, one is naturally led to consider seemingly pathological objects such as links with an infinite number of components and the join of an infinite number of circles (Hawaiian earrings space). We define an infinite homology boundary link, and show that any finite sublink of an infinite homology boundary link has vanishing Milnor's invariants. Moreover, all links known to have vanishing Milnor's invariants are finite sublinks of infinite homology boundary links. We show that the exterior of an infinite homology boundary link admits a map to the Hawaiian earrings space, and that this may be employed to get a factorization of K. E. Orr's omega-invariant through a rather simple space.

scholarly journals NaI and CaII interstellar absorption in the field of SN 1987A

1991 ◽  
Vol 148 ◽  
pp. 434-435
Author(s):  
P. Molaro ◽  
G. Vladilo ◽  
S. D'Odorico ◽  
M. Dennefeld ◽  
R. Ferlet ◽  
...  
Keyword(s):  
Radial Velocity ◽  
Layer Structure ◽  
Complex Structure ◽  
The Other ◽  
Interstellar Absorption ◽  
Number Of Components ◽  
Sn 1987A ◽  
Multiple Components ◽  
The Galaxy

We present CaII and NaI spectra for a sample of stars in a 30'×30' field connecting 30 Dor with SN 1987A. Observations were taken with the CES spectrograph linked via fibres with the 3.6m ESO telescope at a resolution of ˜ 6 km s−1. The LMC gas shows a complex structure with both single and multiple components spanning 250 to 300 km s−1. Results can be interpreted using the multi-layer structure suggested by 21 cm observations. Comparing our optical absorptions with 21 cm emissions yields evidence that layers with increasing radial velocity are located one behind the other. The intermediate velocity components are numerous in CaII, but rare in NaI. Towards Sk-69 211, for which we have the highest S/N CaII spectrum, we have detected a number of components comparable to that found in SN 1987A. The 64 km s−1 cloud is detected in a well-confined region of the field, showing remarkable constancy in the radial velocity, which we interpret as evidence that this cloud is located close to the Galaxy.

scholarly journals Functional-and-behavior communicative approaches in linguistics

2020 ◽  
Vol 17 (4) ◽  
pp. 532-536
Author(s):  
Vadim B. Kasevich ◽  
Keyword(s):  
Speech Perception ◽  
Language Acquisition ◽  
Speech Production ◽  
Infinite Number ◽  
The Other ◽  
Narrow Sense ◽  
Per Se ◽  
And Behavior ◽  
Point Of Departure ◽  
Number Of Iterations

Linguists are increasingly turning to approaches that say that language has no phonology per se, but one should speak about the phonology of speech production, speech perception and language acquisition. The same applies to morphology, syntax and smaller structures in the general architectonics of language/speech grammar. Nowadays, there is no descriptionof grammar/phonology that would illustrate this logic. In the most general way, these approaches can be designated as behavioristic. It is argued here that oblivion of the principles of classical linguistics results in contradictions, unsolvable theoretical problems and delusions. Appeal to phonetics in the narrow sense of the term is unavoidable in modeling speech production, when reproducing from the “meaning to text” transition. The meaning is obviously immaterial, but the same cannot be said about the text. Another transition that in recent years began to be dealt with in linguistic literature on a par with Lev Shcherba’s “aspects”, is “text to language system”. The point of departure here is not easy to define, especially in the case of a natural speech. Two solutions are possible, one based on Chomsky’s postulation of the innate character of language, the other admitting a kind of recursive mechanism capable of “self-expanding” as a result of an infinite number of iterations. As a solution, a combination of two levels may be proposed, prehonological and phonological (resp. semantic and presemantic) which will be resonsible for both transitions.

scholarly journals The role of copper in the Electronics Industry as an interconnecting agent

2011 ◽  
pp. 53-56
Author(s):  
Gangotri Dey
Keyword(s):  
Integrated Circuit ◽  
Periodic Table ◽  
Electronics Industry ◽  
The Other ◽  
Transition Elements ◽  
Number Of Components ◽  
Nickel Cobalt ◽  
Iron Nickel ◽  
Over Time

Mendeleev to Periodic table: “Dear PT, according to you, which is the most boring element of them all?” PT: “My Lord, Maybe copper?” Mendeleev: “Why do you say this?” PT: “It gets very boring for me. Unlike the other transition elements, for example iron, nickel, cobalt, which show magnetism, copper has no choice but to settle with one spin. Such monotony in spin makes it quite boring, I think.” Mendeleev:- “Do you understand the beauty of copper? Do you know that it could change the modern electronics industry?” PT: “No, never thought of that.” Mendeleev: “Then listen to me carefully. During the 1960's, Gordon Moore predicted that, in the electronics industry, the number of components that could be assembled within one integrated circuit (IC) would increase exponentially over time, and thus also the size of a fully operational IC would be reduced. Indeed, this turned out to be true in ...

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