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

M. S. El Naschie
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.  ... 
doi:10.11648/j.ijhep.20140101.11 fatcat:xkp5qpkbnbfyrpk25n7bjww4tm

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

L. Bernal-González, M. S. Moslehian, J.B. Seoane-Sepúlveda
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.  ... 
arXiv:2008.03668v2 fatcat:xzzuxyq4zrgh3l3rife6fiabe4

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]

Naoki Kitazawa
2018 arXiv   pre-print
Canonical projections 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  ... 
arXiv:1806.04581v4 fatcat:c3l3i5kli5eydc6ofms5c27xju

Snowmass White Paper: The Analytic Conformal Bootstrap [article]

Thomas Hartman, Dalimil Mazac, David Simmons-Duffin, Alexander Zhiboedov
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.  ... 
arXiv:2202.11012v1 fatcat:dzfysy337zgu7m6pq5gkjhjftm

A note on a block preconditioner

Miron Tismenetsky
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.  ... 
doi:10.1016/0893-9659(91)90173-s fatcat:p4wyxppubzeypbuea67mmw757e

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

Shu Tanaka, Ryo Tamura
2013 Journal of the Physical Society of Japan  
Moreover, we also study 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.  ... 
doi:10.7566/jpsj.82.053002 fatcat:eoabqzl5gjcdlj4gtgtkqv75te

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

Anne Schistad Solberg Asbjørn Berg, Are F. C. Jensen, Lorenzo Bruzzone
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.  ... 
doi:10.1117/12.753095 fatcat:ubtcayt2tngxlp6iys46golqly

Lifts of spherical Morse functions [article]

Naoki Kitazawa
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 .  ... 
arXiv:1805.05852v3 fatcat:yjveeh3xy5bkdpvzbomhob7vua

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

Timothy M. Chan, Mihai Pătraşcu
2010 Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms  
We give an O(n √ lg n)-time algorithm 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."  ... 
doi:10.1137/1.9781611973075.15 dblp:conf/soda/ChanP10 fatcat:z4dmkj5aubda7l3g7irqkjbxqi

The structure of algebraic varieties [article]

János Kollár
2014 arXiv   pre-print
ICM lecture 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.  ... 
arXiv:1407.7478v1 fatcat:6xmkty37hzeajbf27pi3qa4jne

The theory of Cantorian spacetime and high energy particle physics (an informal review)

M.S. El Naschie
2009 Chaos, Solitons & Fractals  
Fractal spacetime and Cantor 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.  ... 
doi:10.1016/j.chaos.2008.09.059 fatcat:iufm6fwccfgapd7uhee2jzl3ca

The October meeting of the San Francisco Section

B. A. Bernstein
1925 Bulletin of the American Mathematical Society  
It is here shown that either 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  ... 
doi:10.1090/s0002-9904-1925-03988-9 fatcat:twl3qti26reybejh2pfdqexvqy

Characterization of the Inverse Problem in Critical Dimension Measurement of Diffraction Gratings

Károly Marák
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  ... 
doi:10.3311/ppee.9310 fatcat:llfmcw2afbajhnbzmrvawliyuq
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