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MURPHY’S LAW IN ALGEBRAIC GEOMETRY: BADLY-BEHAVED DEFORMATION SPACES
LAW IN ALGEBRAIC GEOMETRY DEFORMATION SPACES
2015/7/14
We consider the question: “How bad can the deformation space of an object
be?” The answer seems to be: “Unless there is some a priori reason otherwise, the deformation space may be as bad as possible...
Hunting the White Elephant.When and how did Galileo discover the law of fall?
Hunting the White Elephant Galileo the law of fall
2015/3/27
Hunting the White Elephant.When and how did Galileo discover the law of fall?
Star formation in NGC 5194 (M51a). II. The spatially resolved star formation law
galaxies formation
2014/12/23
We have studied the relationship between the star formation rate (SFR), surface density, and gas surface density in the spiral galaxy M51a (NGC 5194), using multiwavelength data obtained as part of th...
Stresses and strains in the first law for Kaluza-Klein black holes
Both black hole kaluza-klein thermodynamics first law static black holes
2014/12/20
We consider how variations in the moduli of the compactification manifold contribute `pdV' type work terms to the first law for Kaluza-Klein black holes. We give a new proof for the S1 case, based on ...
The first law for boosted Kaluza-Klein black holes
Both black hole kaluza-klein thermodynamics time and space
2014/12/20
We study the thermodynamics of Kaluza-Klein black holes with momentum along the compact dimension, but vanishing angular momentum. These black holes are stationary, but non-rotating. We derive the fir...
Smarr formula and an extended first law for Lovelock gravity
Static properties lovelock gravitational black holes lovelock theory lovelock coupling
2014/12/18
We study properties of static, asymptotically AdS black holes in Lovelock gravity. Our main result is a Smarr formula that gives the mass in terms of geometrical quantities together with the parameter...
Cutting of hills and human tragedy: An example of law enforcement loophole in the southeastern region of Bangladesh
Illegal hill cutting landslides loss of human lives
2014/11/17
Indiscriminate hill cutting in the southeastern part of Bangladesh especially in the port city of
Chittagong has become a major environmental and humanitarian issue. The massive illegal
hill cutti...
The distributive law of odd primes in the natural numbers Even number E≥6 can be expressed as the sum of two odd primes
Goldbach hypothesis odd prime infimum
2015/6/2
1. This paper provided the distributive law of odd primes in the natural numbers. 2. Given a mathematical model of two opposite directional sequences of natural numbers： ︳Omin ,…，…,…，Omax ︳ ︳Omax ,…, ...
The distributive law of primes in the natural numbers Even numbers 2x≥6 can be expressed as the sum of two primes
Goldbach hypothesis prime infimum
2015/6/2
Find out the distributive law of primes in the natural numbers. By means of the distributive law of primes we show that even numbers 2x≥6 can be expressed as the sum of two primes.
The distributive law of primes and the proof of Goldbach hypothesis
Goldbach hypothesis supremum infimum prime in pairs p1＋p2
2015/6/2
This paper concerns a graph of (3≤x≤2500, N) orthogonal coordinate system. 1. Distributive law of primes, (x/㏒x)㏒e＜π(x)≤(x/㏒x)㏒199/19, (3≤x＜∞); 2. ①. Folding expression of odd numbers, (x＝2n－1), ︱x,…,...
Law could fail to protect vulnerable marine life, UQ scientists warn（图）
marine life vulnerable marine ecosystems
2014/7/9
A key piece of Australian environmental legislation may not adequately protect vulnerable marine ecosystems, a University of Queensland study has concluded.
A practical recipe to fit discrete power-law distributions
practical recipe discrete power-law distributions
2012/11/22
Power laws pervade statistical physics and complex systems, but, traditionally, researchers in these fields have paid little attention to properly fit these distributions. Who has not seen (or even sh...
Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices
Random matrices ovariance matrices archenko-Pastur law ensity of states elocalization
2012/6/29
Let $X_N$ be a $N\times N$ matrix whose entries are i.i.d. complex random variables with mean zero and variance $\frac{1}{N}$. We study the asymptotic spectral distribution of the eigenvalues of the c...
The circular law asserts that the spectral measure of eigenvalues of rescaled random matrices without symmetry assumption converges to the uniform measure on the unit disk. We prove a local version of...
Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law
Universite Paris VII Stanford University
2012/6/27
We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile displacements. Unde...