A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2014; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Logarithmic Running of 't Hooft-Polyakov Monopole to Dark Energy

2014
*
International Journal of High Energy Physics
*

*in*complete agreement with our earlier result E(O) = mc 2 /22 and E(D) = mc 2 (21/22) based

*on*

*the*afore mentioned

*set*theoretical concepts as well as with all

*the*relatively recent cosmological measurements ...

*The*decisive steps

*in*

*the*present derivation consists

*of*two realizations. ... Acknowledgement

*The*Author thanks an anonymous referee

*for*

*the*constructive suggestions which helped to improve

*the*present paper. ...

##
###
Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces
[article]

2022
*
arXiv
*
pre-print

*In*this expository article, we give

*several*examples showing how drastically different can be

*the*behavior

*of*operators acting

*on*finite versus infinite dimensional Hilbert spaces. ... This essay is written as

*in*such a friendly-reader to show that

*the*situation

*in*

*the*infinite dimensional

*setting*is trickier than

*the*finite

*one*. ...

*The*author would like to sincerely thank Professor Ilya M. Spitkovsky

*for*his valuable comments improving this note. ...

##
###
Page 3141 of Mathematical Reviews Vol. , Issue 2004d
[page]

2004
*
Mathematical Reviews
*

*The*authors consider closed

*sum*theorems

*for*

*the*two

*dimension*functions indg and Indo defined by V. V. Filippov. ...

*The*paper concludes with a

*set*

*of*tables enumerating twenty-

*one*continua

*for*which

*the*property

*of*Kelley follows. ...

##
###
A new explicit way of obtaining special generic maps into the 3-dimensional Euclidean space
[article]

2018
*
arXiv
*
pre-print

Canonical projections

arXiv:1806.04581v4
fatcat:c3l3i5kli5eydc6ofms5c27xju
*of*unit spheres are*simplest*examples*of*such maps and manifolds admitting special generic maps into*the*plane are completely determined by Saeki*in*1993 and*ones*admitting such maps ... components*of**inverse*images, so-called Reeb spaces*of*original smooth maps, being fundamental and important tools*in**the*studies. ...*In*this paper, we consider such maps and extended*ones*and by applying technique based*on*ideas useful*for*obtaining*the*shown theorems*for**several*cases*of*Morse functions, we obtain special generic maps ...##
###
Snowmass White Paper: The Analytic Conformal Bootstrap
[article]

2022
*
arXiv
*
pre-print

*In*

*the*last decade, bolstered by

*the*development

*of*new Lorentzian methods, it has been used to solve conformal field theories at large spin; to place bounds

*on*energy distributions, event shapes, operator ... We review these advances and highlight

*several*promising areas

*for*future exploration. ... DM acknowledges funding provided by Edward and Kiyomi Baird as well as

*the*grant DE-SC0009988 from

*the*U.S. Department

*of*Energy. ...

##
###
A note on a block preconditioner

1991
*
Applied Mathematics Letters
*

*The*well known block preconditioning technique is modified to suit certain ill-conditioned linear systems arising

*in*reservoir modelling, semiconductor simulation and other fields

*of*applications. ... Incorporated into

*the*conjugate or biconjugate gradients algorithm,

*the*proposed preconditioner gives a significant improvement

*in*

*the*condition number and

*the*resulting convergence rate. ...

*The*general

*problem*

*of*determining

*the*index

*set*k

*of*

*the*preassigned

*dimension*r can be formulated

*in*

*the*following way.

*PROBLEM*. Given a nonsingular matrix U and an integer r. ...

##
###
Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice

2013
*
Journal of the Physical Society of Japan
*

Moreover, we also study

doi:10.7566/jpsj.82.053002
fatcat:eoabqzl5gjcdlj4gtgtkqv75te
*the*q-dependence*of**the*roughness and*the*fractal*dimension**of**the*percolation cluster. ... We consider*the*q-dependence*of**the*dynamics*of**the*number*of*elements*in**the*largest cluster. As q increases,*the*percolation step is delayed. ... Numerical calculations were performed*on*supercomputers at*the*Institute*for*Solid State Physics, University*of*Tokyo. ...##
###
Page 3116 of Mathematical Reviews Vol. , Issue 91F
[page]

1991
*
Mathematical Reviews
*

If Q is a domain

*in*C” and if (*for*p € Q, X € C") Fo(p; X) denotes*the*infinitesimal Kobayashi metric*on*Q, then*the*indicatrix*of*Q at p is*the**set*Ip(p) = {X € C": Fo(p; X) < 1}. ...*In*this paper*the**inverse*images are required to be*the*same, counting multiplicities up to 2, which is very important*in**the**problem*considered. ...##
###
Robust classification of hyperspectral images

2007
*
Image and Signal Processing for Remote Sensing XIII
*

*The*experimental results

*on*four different hyperspectral data

*sets*demonstrate

*the*importance

*of*using simple, sparse models. ... This paper discusses robust classification

*of*hyperspectral images. Both methods

*for*dimensionality reduction and robust estimation

*of*classifier parameters

*in*full

*dimension*are presented. ... Figure 3 . 3 Illustration

*of*a matrix

*of*correlations, L,

*for*

*the*

*inverse*covariance matrix .

*The*matrix is lower triangular, with

*ones*

*on*

*the*diagonal. ...

##
###
Lifts of spherical Morse functions
[article]

2019
*
arXiv
*
pre-print

*In*this paper, we consider Morse functions such that

*inverse*images

*of*regular values are disjoint unions

*of*spheres, which are extensions

*of*Morse functions with just two singular points

*on*homotopy spheres ...

*In*addition, we construct most

*of*lifts by new methods. ... This is a so-called lifting

*problem*

*of*a smooth map and we call f k a lift

*of*f . We also say that f is lifted to f k and that we lift f to f k . ...

##
###
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
[chapter]

2010
*
Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms
*

We give an O(n √ lg n)-time algorithm

doi:10.1137/1.9781611973075.15
dblp:conf/soda/ChanP10
fatcat:z4dmkj5aubda7l3g7irqkjbxqi
*for*counting*the*number*of**inversions**in*a permutation*on*n elements. ... As Dietz's result is known to be optimal*for**the*related dynamic rank*problem*, our result demonstrates a significant improvement*in**the*offline*setting*. ...*In**one**dimension*, dominance counting is more commonly known as "dynamic ranking" or "*the*partial*sums**problem*." ...##
###
The structure of algebraic varieties
[article]

2014
*
arXiv
*
pre-print

ICM lecture

arXiv:1407.7478v1
fatcat:6xmkty37hzeajbf27pi3qa4jne
*on*minimal models and moduli*of*varieties. ... (There is a small*problem*when*the*exceptional*set**of*f is too small, we can ignore it*for*now.) Example 10. 1 ( 1 Elliptic curves). ... Riemann's theorem says that,*in**dimension*1, "*simplest*" should mean smooth and compact, but*in*higher*dimensions*smoothness is not*the*right notion. ...##
###
The theory of Cantorian spacetime and high energy particle physics (an informal review)

2009
*
Chaos, Solitons & Fractals
*

Fractal spacetime and Cantor

doi:10.1016/j.chaos.2008.09.059
fatcat:iufm6fwccfgapd7uhee2jzl3ca
*sets**In*our work which began about two decades ago, we started exploring*the*possibility*of*a geometry which*in*a sense reconciles*the*irreconcilable namely having points which ... Every point*in*this cluster, when re-examined, reveals itself again as another cluster*of*points and so*on*ad infinitum. ... Acknowledgements*The*Author is indebted to*the*work*of*Dr. E. Goldfain, Dr. R. Munroe, Prof. L. Marek-Crnjac, Prof. G. Iovane, Prof. Y. Tanaka and Prof. ...##
###
The October meeting of the San Francisco Section

1925
*
Bulletin of the American Mathematical Society
*

It is here shown that either

doi:10.1090/s0002-9904-1925-03988-9
fatcat:twl3qti26reybejh2pfdqexvqy
*one**of**the*Cesàro or Möbius*inversions*implies*the*other, and that both are contained*in*an extremely general theorem*of*reciprocity,*of*which*the*Cesaro-Möbius*inversion*is ...*In**the*present paper it is shown that*in*case it is stipulated that*the*non-dense closed*set*and all its derived*sets*have*the*property*of*having their complementary intervals each abut*on*another at each ...##
###
Characterization of the Inverse Problem in Critical Dimension Measurement of Diffraction Gratings

2016
*
Periodica Polytechnica Electrical Engineering and Computer Science
*

*In*this paper,

*the*

*inverse*

*problem*

*of*extracting critical

*dimensions*

*of*

*the*grating is defined, using data obtained by ellipsometric spectrometry. ... Using this method, distribution

*of*

*the*measurement precision

*for*a given type

*of*experimental setup is established, and tested

*on*examples from a

*set*

*of*permalloy gratings. ...

*The*

*inverse*

*problem*2.1 Definition

*of*

*the*

*inverse*

*problem*

*In*general, when we have an operator f mapping

*one*space () to another ():

*The*coupled wave method (see Section 3.1) is able to,

*for*known grating ...

« Previous

*Showing results 1 — 15 out of 100,708 results*