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243
MARKOFF–ROSENBERGER TRIPLES IN GEOMETRIC PROGRESSION
, 2013
"... Solutions of the Markoff–Rosenberger equation ax² + by² + cz² = dxyz such that their coordinates belong to the ring of integers of a number field and form a geometric progression are studied. ..."
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Solutions of the Markoff–Rosenberger equation ax² + by² + cz² = dxyz such that their coordinates belong to the ring of integers of a number field and form a geometric progression are studied.
Role of mammalian Mre11 in classical and alternative nonhomologous end joining
"... The mammalian Mre11Rad50Nbs1 (MRN) complex coordinates double strand break (DSB) signaling with repair by homologous recombination and is associated with the H2A.X chromatin response to DSBs, but its role in nonhomologous end joining (NHEJ) is less clear. Here we show that Mre11 promotes efficien ..."
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Cited by 33 (1 self)
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The mammalian Mre11Rad50Nbs1 (MRN) complex coordinates double strand break (DSB) signaling with repair by homologous recombination and is associated with the H2A.X chromatin response to DSBs, but its role in nonhomologous end joining (NHEJ) is less clear. Here we show that Mre11 promotes
SMALL BALL PROBABILITIES FOR LINEAR IMAGES OF HIGH DIMENSIONAL DISTRIBUTIONS
"... Abstract. We study concentration properties of random vectors of the form AX, where X = (X1,..., Xn) has independent coordinates and A is a given matrix. We show that the distribution of AX is well spread in space whenever the distributions of Xi are well spread on the line. Specifically, assume tha ..."
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Cited by 4 (1 self)
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Abstract. We study concentration properties of random vectors of the form AX, where X = (X1,..., Xn) has independent coordinates and A is a given matrix. We show that the distribution of AX is well spread in space whenever the distributions of Xi are well spread on the line. Specifically, assume
C.W.: Coalition agents experiment: Multiagent cooperation in international coalitions
 IEEE Intelligent Systems
, 2002
"... appears in Procs KSCO2002 Military Coalitions are examples of largescale multifaceted virtual organizations, which sometimes need to be rapidly created and flexibly changed as circumstances alter. The Coalition Agents eXperiment (CoAX) aims to show that multiagent systems are an effective way of ..."
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Cited by 18 (5 self)
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appears in Procs KSCO2002 Military Coalitions are examples of largescale multifaceted virtual organizations, which sometimes need to be rapidly created and flexibly changed as circumstances alter. The Coalition Agents eXperiment (CoAX) aims to show that multiagent systems are an effective way
ZeroValue Point Attacks on Elliptic Curve Cryptosystem
 Information Security  ISC 2003, LNCS 2851
"... Abstract. Several experimental results ensure that the differential power analysis (DPA) breaks the implementation of elliptic curve cryptosystem (ECC) on memory constraint devices. In order to resist the DPA, the parameters of the underlying curve must be randomized. We usually randomize the base p ..."
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Cited by 27 (1 self)
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be randomized by the above randomization. Indeed on elliptic curves over prime fields, we have found several points P = (x, y) which cause the zerovalue registers, e.g., (1)3x 2 + a = 0, (2)5x 4 + 2ax 2 − 4bx + a 2 = 0, (3)P is ycoordinate selfcollision point, etc. We demonstrate the standard curves
Learning Linear Transformations
, 1996
"... We present a polynomial time algorithm to learn (in Valiant's PAC model) cubes in n\Gamma space (with general sides  not necessarily axes parallel) given uniformly distributed samples from the cube. In fact, we solve a more general problem of learning in polynomial time linear transformations ..."
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Cited by 19 (0 self)
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in n\Gammaspace. I.e., suppose x is an n\Gammavector whose coordinates are mutually independent random variables with unknown (possibly different) probability distributions and A is an unknown nonsingular n\Thetan matrix. Then given polynomially many samples of y = Ax, we are able to learn the columns
Fundamental solution to some elliptic equations with discontinuous senior coefficients and an inequality for those solutions
 MATH. INEQUALITIES AND APPLIC
, 1998
"... Let Lu: = ∇ · (a(x)∇u) = −δ(x − y) in R 3, 0 < c1 ≤ a(x) ≤ c2, a(x) is a piecewisesmooth function with the discontinuity surface S which is smooth. It is proved that in a neighborhood of S the behavior of the function u is given by the formula: u(x, y) = � (4πa+) −1 [r −1 xy + bR −1], y3&g ..."
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Cited by 4 (2 self)
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> 0, (4πa−) −1 [r −1 xy − bR −1], y3 < 0. Here the local coordinate system is chosen in which the origin lies on S, the plane x3 = 0 is tangent to S, a+(a−) is the limiting value of a(x) on S from the halfspace x3> 0, (x3 < 0), rxy: = x−y, R: = � ρ 2 + (x3  + y3) 2, ρ: = � (x1 − y
Hard Equality Constrained Integer Knapsacks
, 2005
"... We consider the following integer feasibility problem: “Given positive integer numbers a0, a1,..., an, with gcd(a1,..., an) = 1 and a = (a1,..., an), does there exist a vector x ∈ Z n ≥0 satisfying ax = a0? ” We prove that if the coefficients a1,..., an have a certain decomposable structure, then t ..."
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Cited by 16 (0 self)
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We consider the following integer feasibility problem: “Given positive integer numbers a0, a1,..., an, with gcd(a1,..., an) = 1 and a = (a1,..., an), does there exist a vector x ∈ Z n ≥0 satisfying ax = a0? ” We prove that if the coefficients a1,..., an have a certain decomposable structure
An nPopulations Model for Traffic Flow
 Europ. J. Appl.Math
, 2002
"... Introduction Among the many continuous traffic flow models currently available, the LighthillWhi tham [12] and Richards [13] (LWR) model has a prominent role. Its simplicity stems from its being defined through only two assumptions (1) the total number of cars is conserved, and (2) the car spee ..."
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Cited by 21 (0 self)
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speed is a function of the car density. Mathematically ap + ax (pv): 0 (1.1) where t is time, x is the space coordinate, p C [0, R] is the car density, R is the maximal car density, v = v(p) is the average car speed. This very simple model captures several features of real traffic flow and its formal
GENOME INTEGRITY REVIEW Open Access
"... Evaluation of the efficacy of radiationmodifying compounds using gH2AX as a molecular marker of DNA doublestrand breaks LiJeen Mah 1,2 † , Christian Orlowski 1,2,3 † , Katherine Ververis 1,4,RajaSVasireddy 1,2,3, Assam ElOsta 3,5,6, Tom C Karagiannis 1,2* Radiation therapy is a widely used thera ..."
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, respectively. Radiation exposure often results in the formation of DNA doublestrand breaks, which are marked by the induction of H2AX phosphorylation to generate gH2AX. In addition to its essential role in DDR signalling and coordination of doublestrand break repair, the ability to visualize and quantitate g
Results 11  20
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243