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22,667
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
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Cited by 558 (0 self)
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is nonseparable. In fact, I. Farah (private communication) has shown that a Hilbert space of dimension 2ℵ0 has a dense subspace which does not contain any uncountable orthonormal set. A similar example was obtained by Dixmier [Dix53]. p. 89 I.2.4.3(i): Some of the statements on p. 9 can be false if the measure
Managing Gigabytes: Compressing and Indexing Documents and Images  Errata
, 1996
"... > ! "GZip" page 64, Table 2.5, line "progp": "43,379" ! "49,379" page 68, Table 2.6: "Mbyte/sec" ! "Mbyte/min" twice in the body of the table, and in the caption "Mbyte/second" ! "Mbyte/minute" page 70, para 4, line ..."
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Cited by 978 (48 self)
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such a" ! "such a" page 98, line 6: "shows that in fact none is an answer to this query" ! "shows that only document 2 is an answer to this query" page 106, para 3, line 9: "the bitstring in Figure 3.7b" ! "the bitstring in Figure 3.7c" page 107
The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
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Cited by 506 (2 self)
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from char. o to char. p provided that p> 2g qi. Unfortunately, attempts to extend this method to all p seem to get stuck on difficult questions of wild ramification. Nowadays, the Teichmtiller theory gives a thoroughly analytic but very profound insight into this irreducibility when kC. Our
Brain magnetic resonance imaging with contrast dependent on blood oxygenation.
 Proc. Natl. Acad. Sci. USA
, 1990
"... ABSTRACT Paramagnetic deoxyhemoglobin in venous blood is a naturally occurring contrast agent for magnetic resonance imaging (MRI). By accentuating the effects of this agent through the use of gradientecho techniques in high fields, we demonstrate in vivo images of brain microvasculature with imag ..."
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Cited by 648 (1 self)
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to localized spectroscopy (2) and chemical shift imaging (3) that are applicable to many chemical species, MRI of water protons has been functionally extended to NMR angiography (4), perfusion imaging It has previously been demonstrated (8, 9) that the presence of deoxyhemoglobin in blood changes the proton
The Determinants of Credit Spread Changes.
 Journal of Finance
, 2001
"... ABSTRACT Using dealer's quotes and transactions prices on straight industrial bonds, we investigate the determinants of credit spread changes. Variables that should in theory determine credit spread changes have rather limited explanatory power. Further, the residuals from this regression are ..."
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Cited by 422 (2 self)
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quadratic regression σ(K) = a + bK + cK 2 , where K is the strike price. Our estimate of this slope, jump t , is defined via where F is the atthe money strike price, which equals the current futures price. We choose to look at the implied volatility at K = .9F because we do not want 6 to extrapolate the quadratic
On the bursty evolution of Blogspace
, 2003
"... O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +%&P &.F0, )& ;)S O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +% # O,<&7& =1 P &7"U;(Z ;>A@CB;D,[\D]K,D?^_ B`Bba]@C>Ac >AG8H$^2d)@C]E 9='0,*+82 &e " & Q (T0 U;Ub%&7*',#$ %& :3 Q ..."
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Cited by 365 (8 self)
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O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +%&P &.F0, )& ;)S O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +% # O,<&7& =1 P &7"U;(Z ;>A@CB;D,[\D]K,D?^_ B`Bba]@C>Ac >AG8H$^2d)@C]E 9='0,*+82 &e " & Q (T0 U;Ub%&7*',#$ %& :3
Approximation Algorithms for Projective Clustering
 Proceedings of the ACM SIGMOD International Conference on Management of data, Philadelphia
, 2000
"... We consider the following two instances of the projective clustering problem: Given a set S of n points in R d and an integer k ? 0; cover S by k hyperstrips (resp. hypercylinders) so that the maximum width of a hyperstrip (resp., the maximum diameter of a hypercylinder) is minimized. Let w ..."
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Cited by 302 (22 self)
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(n 2=3 k 8=3 log 4 n). We also propose another algorithm that computes a c...
Global simulation of tropospheric O3NOxhydrocarbon chemistry  1. Model formulation
, 1998
"... We describe a global threedimensional model for tropospheric O 3NO xhydrocarbon chemistry with synopticscale resolution. A suite of 15 chemical tracers, including O 3, NO x, PAN, HNO 3, CO, H 2 O 2, and various hydrocarbons, is simulated in the model. For computational expediency, chemical pro ..."
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Cited by 267 (89 self)
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We describe a global threedimensional model for tropospheric O 3NO xhydrocarbon chemistry with synopticscale resolution. A suite of 15 chemical tracers, including O 3, NO x, PAN, HNO 3, CO, H 2 O 2, and various hydrocarbons, is simulated in the model. For computational expediency, chemical
Generalization Of An Inequality By Talagrand, And Links With The Logarithmic Sobolev Inequality
 J. Funct. Anal
, 2000
"... . We show that transport inequalities, similar to the one derived by Talagrand [30] for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure is approximately logconcave, ..."
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Cited by 244 (12 self)
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distance d(x; y) = inf 8 < : s Z 1 0 j _ w(t)j 2 dt; w 2 C 1 ((0; 1); M); w(0) = x; w(1) = y 9 ...
Global and regional climate changes due to black carbon,
 Nat. Geosci.,
, 2008
"... Figure 1: Global distribution of BC sources and radiative forcing. a, BC emission strength in tons per year from a study by Bond et al. Full size image (42 KB) Review Nature Geoscience 1, 221 227 (2008 Black carbon in soot is the dominant absorber of visible solar radiation in the atmosphere. Ant ..."
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Cited by 228 (5 self)
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of the warmer air heated by BC from South and East Asia over the Himalayas contributes to a warming of about 0.6 °C (annual mean) in the lower and mid troposphere (see http://www.nature.com/ngeo/journal/v1/n4/full/ngeo156.html 3 of 10 9/22/2009 9:43 AM The values are annual mean temperature changes over
Results 1  10
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