Spectroscopy and Decay properties of $D$ and $D_{s}$ mesons with Martin-like confinement potential in Dirac formalism

Abstract This article advances two parallel lines of argument about resting-state functional magnetic resonance imaging (fMRI) signals, one empirical and one conceptual. The empirical line creates a four-part organization of the text: (1) head motion and respiration commonly cause distinct, major, unwanted influences (artifacts) in fMRI signals; (2) head motion and respiratory changes are, confoundingly, both related to psychological and clinical and biological variables of interest; (3) many fMRI denoising strategies fail to identify and remove one or the other kind of artifact; and (4) unremoved artifact, due to correlations of artifacts with variables of interest, renders studies susceptible to identifying variance of noninterest as variance of interest. Arising from these empirical observations is a conceptual argument: that an event-related approach to task-free scans, targeting common behaviors during scanning, enables fundamental distinctions among the kinds of signals present in the data, information which is vital to understanding the effects of denoising procedures. This event-related perspective permits statements like “Event X is associated with signals A, B, and C, each with particular spatial, temporal, and signal decay properties”. Denoising approaches can then be tailored, via performance in known events, to permit or suppress certain kinds of signals based on their desirability.

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THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES

Journal of the Australian Mathematical Society ◽

10.1017/s1446788721000033 ◽

2021 ◽

pp. 1-20

Author(s):

SANJIV KUMAR GUPTA ◽

KATHRYN E. HARE

Keyword(s):

Symmetric Space ◽

Symmetric Spaces ◽

Continuous Measure ◽

Convolution Product ◽

Absolutely Continuous ◽

Regular Elements ◽

Connected Subgroup ◽

Decay Properties ◽

Absolutely Continuous Measure ◽

Special Case

Abstract Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K is a compact, connected subgroup. We use decay properties of the spherical functions to show that the convolution product of any $r=r(G/K)$ continuous orbital measures has its density function in $L^{2}(G)$ and hence is an absolutely continuous measure with respect to the Haar measure. The number r is approximately the rank of $G/K$ . For the special case of the orbital measures, $\nu _{a_{i}}$ , supported on the double cosets $Ka_{i}K$ , where $a_{i}$ belongs to the dense set of regular elements, we prove the sharp result that $\nu _{a_{1}}\ast \nu _{a_{2}}\in L^{2},$ except for the symmetric space of Cartan class $AI$ when the convolution of three orbital measures is needed (even though $\nu _{a_{1}}\ast \nu _{a_{2}}$ is absolutely continuous).

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Comparison of the activity, selectivity and decay properties of lay and hyultrastable zeolites during the cracking of alkanes

Applied Catalysis ◽

10.1016/s0166-9834(00)81508-0 ◽

1984 ◽

Vol 12 (1) ◽

pp. 105-116 ◽

Cited By ~ 11

Author(s):

A. Corma ◽

V. Fornés ◽

J.B. Monton ◽

A.V. Orchilles

Keyword(s):

Decay Properties

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Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains

Mathematics ◽

10.3390/math9080841 ◽

2021 ◽

Vol 9 (8) ◽

pp. 841

Author(s):

Toshiaki Hishida

Keyword(s):

Evolution Operator ◽

Large Time ◽

Rigid Motion ◽

Time Dependent ◽

Energy Relation ◽

Exterior Domains ◽

Decay Properties ◽

Decay Of Solutions ◽

Whole Space ◽

Expository Paper

In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity. By following the approach developed by the present author for the physically relevant case where the rigid motion of the obstacle is time-dependent, we clarify that some decay properties of solutions to the same system in whole space Rn together with the energy relation imply the desired estimates in exterior domains provided n≥3.

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