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"R\'enyi's quantum thermodynamics" by Natalia Bebiano, Joao da Providencia et al.
A theory of thermodynamics has been recently formulated and derived on the basis of R\'enyi entropy and its relative versions. In this framework, the concepts of partition function, internal energy and free energy are defined, and fundame... | CommonCrawl |
The roots/solutions of the characteristic polynomial are called the eigenvalues of $A$.
Now recall that we originally began with the matrix equation $Ax = \lambda x$ which is equivalent to the matrix equation $(A - \lambda I)x = 0$. We noted that this matrix equation has the trivial solution $x = 0$. If $\det (A - \lam... | CommonCrawl |
Abstract: We examine the variation of the fine structure constant in the context of a two-field quintessence model. We find that, for solutions that lead to a transient late period of accelerated expansion, it is possible to fit the data arising from quasar spectra and comply with the bounds on the variation of $\alpha... | CommonCrawl |
Lemma 9.6.8 (Classification of simple extensions). If a field extension $F/k$ is generated by one element, then it is $k$-isomorphic either to the rational function field $k(t)/k$ or to one of the extensions $k[t]/(P)$ for $P \in k[t]$ irreducible.
sending the indeterminate $t$ to $\alpha $. The image is a domain, so t... | CommonCrawl |
Abstract: This article investigates the parameter space of the exponential family $z\mapsto \exp(z)+\kappa$. We prove that the boundary (in $\C$) of every hyperbolic component is a Jordan arc, as conjectured by Eremenko and Lyubich as well as Baker and Rippon. In fact, we prove the stronger statement that the exponenti... | CommonCrawl |
Amaro-Seoane, P., & Preto, M. (2011). The impact of realistic models of mass segregation on the event rate of extreme-mass ratio inspirals and cusp re-growth. Classical and quantum gravity, 28(9): 094017. doi:10.1088/0264-9381/28/9/094017.
Abstract: One of the most interesting sources of gravitational waves (GWs) for L... | CommonCrawl |
I know there was a question about good algebraic geometry books on here before, but it doesn't seem to address my specific concerns.
Are there any well-motivated introductions to scheme theory?
My idea of what "well-motivated" means are specific enough that I think it warrants a detailed example.
Let $f:X \rightarrow Y... | CommonCrawl |
Abstract: In 1994, Jaeger, Kauffman, and Saleur introduced a determinant formulation for the Alexander-Conway polynomial based on the the free fermion model in statistical mechanics. This can be used to define an invariant of knots in thickened surfaces $\Sigma \times [0,1]$, where $\Sigma$ is closed and oriented . The... | CommonCrawl |
Abstract: We derive bounds on the distribution function, therefore also on the Value-at-Risk, of $\varphi(\mathbf X)$ where $\varphi$ is an aggregation function and $\mathbf X = (X_1,\dots,X_d)$ is a random vector with known marginal distributions and partially known dependence structure. More specifically, we analyze ... | CommonCrawl |
solving for $\lambda$ gives me approx. $2.44\times 10^12 m$, but my solution sheet shows $244 m$. Where is the unit conversion incorrect?
Browse other questions tagged homework-and-exercises wavelength radio-frequency or ask your own question.
Does the wavelength always decrease in a medium?
In electromagnetic radiatio... | CommonCrawl |
Abstract: A new approach to the torsion problem in the Jacobians of hyperelliptic curves over the field of rational numbers was offered by Platonov. This new approach is based on the calculation of fundamental units in hyperelliptic fields. The existence of torsion points of new orders was proved with the help of this ... | CommonCrawl |
Calculate expected value and variance of normally distributed..
I don't know how do it good?
It work like this? But no idea about variance..?
As a bonus, $X \sim N(\mu, \sigma^2/n)$.
Not the answer you're looking for? Browse other questions tagged probability probability-theory discrete-mathematics probability-distribu... | CommonCrawl |
This is the first installment in a four-part blog post series about TLA+. Part 2, Part 3, Part 4. A video of a 40-minute talk that covers parts of this series.
If you find TLA+ and formal methods in general interesting, I invite you to visit and participate in the new /r/tlaplus on Reddit.
Thinking doesn't guarantee th... | CommonCrawl |
Abstract: We prove that any topological group $G$ containing a subspace $X$ of the Sorgenfrey line has spread $s(G)\ge s(X\times X)$. Under OCA, each topological group containing an uncountable subspace of the Sorgenfrey line has uncountable spread. This implies that under OCA a cometrizable topological group $G$ is co... | CommonCrawl |
We synthesize experimental data from recent studies to construct a computational model for the gene regulatory network that governs the development of immune cells and use it to explain several surprising results. At the heart of the model is a cross-antagonism between the macrophage-promoting factor Egr and the neutro... | CommonCrawl |
Want to be notified of new releases in colbyford/NAGLU?
In 2015, the Critical Assessment of Genome Interpretation (CAGI) proposed a challenge to devise a computational method for predicting the phenotypic consequences of genetic variants of a lysosomal hydrolase enzyme known as $\alpha$-N-acetylglucosaminidase (NAGLU).... | CommonCrawl |
Eines unserer Interessen für die Zukunft ist, mit Hilfe dieses Renormierungsverfahrens Modelle korrelierter Elektronensysteme zu untersuchen. Es ist für diese Modelle besonders gut geeignet, da es die Renormierung des Hamiltonoperators selbst erlaubt und deshalb Eigenschaften gebundener oder korrelierter Zustände sehr ... | CommonCrawl |
what is the minimum price of such a route?
what is the minimum number of flights in a minimum-price route?
what is the maximum number of flights in a minimum-price route?
The first input line contains two integers $n$ and $m$: the number of cities and the number flights. The cities are numbered $1,2,\ldots,n$. City 1 i... | CommonCrawl |
By a dynamical system $(X,T)$ we mean the action of the semigroup $(\Bbb Z^+,+)$ on a metrizable topological space $X$ induced by a continuous selfmap $T:X\rightarrow X$. Let $M(X)$ denote the set of all compatible metrics on the space $X$. Our main objective is to show that a selfmap $T$ of a compact space $X$ is a Ba... | CommonCrawl |
The LUNA experiment plays an important role in understanding open issue of neutrino physics. As an example, two key reactions of the solar p-p chain $^3He(^3He,2p)^4He$ and $^3He(^4He,\gamma)^7Be$ have been studied at low energy with LUNA, providing an accurate experimental input to the Standard Solar Model and consequ... | CommonCrawl |
The solution depends only on a little algebra and some clear mathematical thinking.
Pierre, Tarbert Comprehensive, Ireland, Prateek, Riccarton High School, Christchurch, New Zealand and Vassil from Lawnswood Sixth Form, Leeds started by taking small values of $n$, usually a good way to begin. This solution comes from A... | CommonCrawl |
Often, data sets include a large number of features. The technique of extracting a subset of relevant features is called feature selection. Feature selection can enhance the interpretability of the model, speed up the learning process and improve the learner performance. There exist different approaches to identify the... | CommonCrawl |
Abstract: Measurements of $\alpha_s$, the coupling strength of the Strong Interaction between quarks and gluons, are summarised and an updated value of the world average of $\alpha_s (M_Z)$ is derived. Building up on previous reviews, special emphasis is laid on the most recent determinations of $\alpha_s$. These are o... | CommonCrawl |
This is a reprint of the classic Traders of Genoa. It has a larger box and completely new graphics, but the important elements of gameplay remain the same.
We first played this last weekend with 5 of us and we had a blast. It was chaotic, it was exciting, and it was fun. The tower player was constantly being pulled in ... | CommonCrawl |
Bare-hands construction of fiber products: an affine open cover of a fiber product of schemes can be assembled from compatible affine open covers of the pieces.
is an affine open covering of $X \times _ S Y$.
Suggested slogan: Bare-hands construction of fiber products: an affine open cover of a fiber product of schemes... | CommonCrawl |
Hosseini, E., Barid Loghmani, G., Heydari, M., Wazwaz, A. (2017). A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials. Computational Methods for Differential Equations, 5(4), 280-300.
Ehsan Hosseini; Ghasem Barid Loghmani; Mohammad Heydari; Ab... | CommonCrawl |
Pseudoscalar Mesons in the SU3 Linear Sigma Model with Gaussian Functional Approximation - High Energy Physics - Phenomenology - Download this document for free, or read online. Document in PDF available to download.
Abstract: We study the SU3 linear sigma model for the pseudoscalar mesons in theGaussian Functional App... | CommonCrawl |
minQual (-40) minimum quality: the minimum value for qualities in the described error models. Currently exclusively integer quality models (as Illumina and phred qualities) are addressed. Therefore, subsequent CDFs over quality spectra have all the length (maxQual - minQual + 1).
maxQual (40) maximum quality: highest v... | CommonCrawl |
soooooo is HOTT, is $S^1$ something like the natural numbers object for $\infty$-topoi?
oh, like ,internal hom objects?
so is this what you work on? I'm not really clear on who you are.
and also, a thesis that my advisor and the people at my school actually know stuff about, haha, which is nice.
Yes, that PRISM program... | CommonCrawl |
While delay differential equations with variable delays may have a superficial appearance of analyticity, it is far from clear in general that a global bounded solution $x(t)$ (namely, a bounded solution defined for all time $t$, such as a solution lying on an attractor) is an analytic function of $t$. Indeed, very oft... | CommonCrawl |
Ravichandran, KS and Dwarakadasa, ES and Banerjee, D (1991) Mechanisms of cleavage during fatigue crack growth in $Ti-6Al-4V$ alloy. In: Scripta Metallurgica et Materialia, 25 (9). pp. 2115-2120.
Beta processed microstructures of titanium alloys consisting of Widmanstatten structures offer attractive combinations of st... | CommonCrawl |
I will talk about the computational complexity of computing the noncommutative determinant. In contrast to the case of commutative algebras, we know of (virtually) no efficient algorithms to compute the determinant over non-commutative domains. Our results show that the determinant in noncommutative settings can be as ... | CommonCrawl |
Recall that a multiset is a collection of elements allowing the repetition of elements and that the repetition number of an element in a multiset is the number of times that element appears in the multiset.
As a simple example, suppose that we want to construct a $3$-letter password out of the letters in the alphabet. ... | CommonCrawl |
Out-of-sample performance (cash, blue-to-pink line) of an MDFA low-pass filter built using the approach discussed in this article on the STOXX Europe 50 index futures with expiration March 18th (STXEH3) for 200 15-minute interval log-return observations. Only one small loss out-of-sample was recorded from the period of... | CommonCrawl |
($\mathit V−\mathit A$) theory predicts $\delta $ = 0.75.
1 The quoted systematic error includes a contribution of 0.00006 (added in quadrature) from uncertainties on radiative corrections and on the Michel parameter $\eta $.
2 BALKE 1988 uses $\rho $ = $0.752$ $\pm0.003$.
3 VOSSLER 1969 has measured the asymmetry belo... | CommonCrawl |
Variance-based sensitivity analysis provides a quantitative measure of how uncertainty in a model input contributes to uncertainty in the model output. Such sensitivity analyses arise in a wide variety of applications and are typically computed using Monte Carlo estimation, but the many samples required for Monte Carlo... | CommonCrawl |
The classic comparison theorem of quantum mechanics states that if the comparison potentials are ordered then the corresponding energy eigenvalues are ordered as well, that is to say if $V_a\le V_b$, then $E_a\le E_b$. The nonrelativistic Schrodinger Hamiltonian is bounded below and the discrete spectrum may be charact... | CommonCrawl |
– vortex ellipses with semiaxes $a$, $b$.
The emphasis is on the analysis of the asymptotic ($t\to\infty$) behavior of the system and on the verification of the stability criteria for vorticity continuous distributions.
Keywords: vortex dynamics, point vortex, hydrodynamics, asymptotic behavior. | CommonCrawl |
Abstract: For three-dimensional ABJ(M) theories and $\mathcal N=4$ Chern-Simons-matter quiver theories, we construct two sets of 1/2 BPS Wilson loop operators by applying the Higgsing procedure along independent directions of the moduli space, and choosing different massive modes. For theories whose dual M-theory descr... | CommonCrawl |
We study Darboux and Christoffel transforms of isothermic surfaces in Euclidean space. Using quaternionic calculus we derive a Riccati type equation which characterizes all Darboux transforms of a given isothermic surface. Surfaces of constant mean curvature turn out to be special among all isothermic surfaces: their p... | CommonCrawl |
Hi! I'm an NSF postdoc at UW - Madison (Fall 2016 - Spring 2019), working primarily with Uri Andrews, Steffen Lempp, Joe Miller, and Mariya Soskova.
I'm active on mathoverflow and math.stackexchange, and often work at Canada/USA Mathcamp in the summer.
In Spring 2018 I taught Math 222 (calculus and analytic geometry 2)... | CommonCrawl |
In this post, we describe the different functionals available for discrete geometry optimization in VaryLab.
Defines an energy functional which is minimal for planar circular quads. Since we are using an angle criterion, the convergence to planarity is relatively slow. If the planar quads energy is added to the optimiz... | CommonCrawl |
For an odd prime $p$ and an exponent $e\geq1$, the group $(\Z/p^e\Z)^\times$ is cyclic. It happens that any integer $a$ which generates $(\Z/p^2\Z)^\times$ will also be a generator of $(\Z/p^e\Z)^\times$ for all $e\geq 1$. We call the least such $a$ the Conrey (primitive) generator modulo p.
for $p=40487$, the Conrey g... | CommonCrawl |
In mathematics, the inverse hyperbolic functions are inverse functions of the hyperbolic function. For a given hyperbolic function, the size of hyperbolic angle is always equal to the area of some hyperbolic sector where x*y = 1 or it could be twice the area of corresponding sector for the hyperbola unit – x2 − y2 = 1,... | CommonCrawl |
In this article are studied different theorems limits in a criticalBellman-Harris branching process with a only type of particle and with finite second moments. There were used two processes in order to figure out the limits as following as: "The condition of no extinction" and "The condition of extinction in the near ... | CommonCrawl |
Well, my guess might be wrong (see here), but yours is definitely not correct either.
What's a 'viewable space' then?
In portuguese "viewable" means "visualizavel", when a space had more than 3 dimensions, can't be viewable, understand now?
about the link than you give, a got a prove, with think solve the question.
So ... | CommonCrawl |
Archimede 66, No. 3, 139-144 (2014).
Summary: Drawing the parabolic segment with the Archimedes triangle, equivalent triangles are detected into the $n\times n$ trapezoids grid; so we can measure a figure circumscribed to the segment and the entire construction triangle. It is seen that these figures contains respectiv... | CommonCrawl |
This note translates the code from an interesting blog post (in French) from Python to R. The code includes a function to compute closeness vitality with the igraph package.
The blog post, which was written by Serge Lhomme, is based on a network made of French cities connected by highways as its data example. The netwo... | CommonCrawl |
We will now state some very basic properties regarding these incidence matrices.
Proposition 1: Let Let $(X, \mathcal A)$ be a $(v, b, r, k, \lambda)$-BIBD and let $M$ be a corresponding incidence matrix. Then every column of $M$ contains exactly $k$ many $1$s.
Proposition 2: Let $(X, \mathcal A)$ be a $(v, b, r, k, \l... | CommonCrawl |
According to this and many other places, weight for exponential moving average is just being defined as $\omega_t=(1-\alpha)\alpha^t$, where $t$ is current index and $\alpha$ is a smoothing factor.
How does one derives this formula itself and what does $\alpha$ mean, and where does one can plug size of averaging window... | CommonCrawl |
I have a very simple question, what is the meaning, if any, of this?
I.e. Economically what does the following calculation mean?
Note that $Q_i P_i$ is the total revenue from good $i$. So dividing total revenue from all goods by the amount produced of all of them should give us something like "average revenue per item ... | CommonCrawl |
Methods, Functions and Subroutines in Perl and what is $self ?
A class with only attributes can be already useful, but having methods other than getters and setters will make the life of the objects more interesting.
When we created a class, Moo automatically added methods to get and set the values of a single attribut... | CommonCrawl |
Abstract: We derive a sufficient condition for realizing meta-stable de Sitter vacua with small positive cosmological constant within type IIB string theory flux compactifications with spontaneously broken supersymmetry. There are a number of `lamp post' constructions of de Sitter vacua in type IIB string theory and su... | CommonCrawl |
Two primes the difference between which is 2. Generalized twins are pairs of successive primes with difference $2m$, where $m$ is a given natural number. Examples of twins are readily found on consulting the table of prime numbers. Such are, e.g., 3 and 5, 5 and 7, 11 and 13, 17 and 19. Generalized twins — for $m=2$, f... | CommonCrawl |
One of the most interesting subjects to study in physics are black holes. These objects first came up as simple theoretical solutions to Einstein's equations, back in 1916. In 1972, the first credible astronomical evidence for black holes come from the observations of Cygnus X-1, some of which were found here at Univer... | CommonCrawl |
All of these series are telescoping series, but determining how to telescope them can be difficult and involve a lot of nasty algebra, so I shall instead show how to derive their values from infinite products that are easy to evaluate using logarithmic differentiation. Consider first the infinite product where $\alpha$... | CommonCrawl |
Special Issue "Foundations of Quantum Mechanics: Quantum Logic and Quantum Structures"
Since its origins, quantum theory posed deep questions with regard to the fundamental problems of physics. During the last few decades, the advent of quantum information theory and the possibility of developing quantum computers, gav... | CommonCrawl |
We report on a search for weakly interacting massive particles (WIMPs) using 278.8 days of data collected with the XENON1T experiment at LNGS. XENON1T utilizes a liquid xenon time projection chamber with a fiducial mass of (1.30 +/- 0.01) ton, resulting in a 1.0 ton yr exposure. The energy region of interest, [1.4; 10.... | CommonCrawl |
National Engineering Physics Institute "MEPhI"
Abstract: In the space of functions of two variables with Hardy–Krause property, new notions of higher-order total variations and Banach spaces of functions of two variables with bounded higher variations are introduced. The connection of these spaces with Sobolev spaces $... | CommonCrawl |
###Read problems statements in [Hindi](http://www.codechef.com/download/translated/CK101TST/hindi/CAMPON.pdf), [Mandarin Chinese](http://www.codechef.com/download/translated/CK101TST/mandarin/CAMPON.pdf), [Russian](http://www.codechef.com/download/translated/CK101TST/russian/CAMPON.pdf), [Vietnamese](http://www.codeche... | CommonCrawl |
Tool to decrypt / encrypt using Base 36 (Alphanumeric) Cipher. The base 36 is the ideal basis for encoding any alphanumeric string by a number (and vice versa) because it uses the usual 36 characters (26 letters and 10 digits).
Team dCode likes feedback and relevant comments; to get an answer give an email (not publish... | CommonCrawl |
This question based on previous one by me. As Christopher Purcell noticed in his comment, there exist conjecture (which has a lot of counterexamples) that if you take a pair of ants $(n,n+1)$ apart (of the same colour, facing the same direction) then you will get an oscillating pattern.
Is there any explanation of this... | CommonCrawl |
A real matrix $A$ is called copositive if $x^TAx \ge 0$ holds for all $x \in \mathbb R^n_+$. A matrix $A$ is called completely positive if it can be factorized as $A = BB^T$ , where $B$ is an entrywise nonnegative matrix. The concept of copositivity can be traced back to Theodore Motzkin in 1952, and that of complete p... | CommonCrawl |
Advice for writing good mathematics?
What is an adjective for "weaker than weak"?
Is arrow notation for vectors "not mathematically mature"?
Learning Mathematics using only audio.
If $\Bbb C^\infty$ is the only infinite-dimensional Hilbert space, why do other space names need to be used?
How are the "real" spherical ha... | CommonCrawl |
I have a Topological Vector Space (TVS) ($I, \oplus , \otimes $) over $ \mathbb Q$ and I want to uniquely extend its scalar multiplication to $ \mathbb R $, so that it is promoted to a TVS over $ \mathbb R $.
The question is, what additional conditions does $I$ need to fulfill for the promotion to be possible in a uniq... | CommonCrawl |
Today is the release of version 1.0 of bfs, a fully-compatible* drop-in replacement for the UNIX find command. I thought this would be a good occasion to write more about its implementation. This post will talk about how I parse the command line.
Due to the short-circuiting behaviour of -a/&&, this only prints files an... | CommonCrawl |
devices to cleverly condense your text.
unlikely to be on review boards.
adverbs and prepositions, for instance.
* Elimination of vowels and consonants that seem "obvious enough".
* Wide-scale deletion of mindless drivel.
* Use of the "you can guess the rest" syntactic construct.
Turn a 200 page thesis into an 8 page c... | CommonCrawl |
In cluster physics a single particle potential to determine the microscopic part of the total energy of a collective configuration is necessary to calculate the shell- and pairing effects. In this paper we investigate the properties of the Riesz fractional integrals and compare their properties with the standard Coulom... | CommonCrawl |
nite finitely generated subgroups of the Gupta–Sidki 3-group $G$ are abstractly commensurable with $G$ or $G \times G$. As a consequence, we show that $G$ is subgroup separable and from this it follows that its membership problem is solvable.
nite subgroups of $G$ and establish an analogue for the Grigorchuk group. | CommonCrawl |
Curious collective behaviors are all around us from the atomic to the astronomical scale. For example, how do defects in crystals (Plasticity project) organize themselves into sharp, wall-like structures when left to their own devices? How galaxies form the neat spiral shapes (Spiral galaxy) appears to be an open quest... | CommonCrawl |
Abstract: We introduce a new computable invariant for strong shift equivalence of shifts of finite type. The invariant is based on an invariant introduced by Trow, Boyle, and Marcus, but has the advantage of being readily computable.
We summarize briefly a large-scale numerical experiment aimed at deciding strong shift... | CommonCrawl |
Let us say there is a program such that if you give a partially filled Sudoku of any size it gives you corresponding completed Sudoku.
Can you treat this program as a black box and use this to solve TSP? I mean is there a way to represent TSP problem as partially filled Sudoku, so that if I give you the answer of that ... | CommonCrawl |
"Beyond the classical distance-redshift test: cross-correlating redshift-free standard candles and sirens with redshift surveys."
Suvodip Mukherjee & Benjamin D. Wandelt.
"A year in the life of GW170817: the rise and fall of a structured jet from a binary neutron star merger."
E. Troja H. van Eerten et al.
"Internal ga... | CommonCrawl |
This site is a one-stop shop for the work of the single ion channel group at UCL. The site is owned by Professor Lucia Sivilotti (AJ Clark professor of pharmacology at UCL), who has run the group since the retirement of David Colquhoun in 2004. The original pages were on the UCL server, but they have been moved to this... | CommonCrawl |
Why are monopoles resulting from electroweak symmetry breaking allowed?
I understand (i think) that for a magnetic monopole to exist as the result of a gauge group $G$ being spontaneously broken to a subgroup $H$ by the Higgs mechanism, that certain criteria must be fulfilled. One of these is that there must be a non-t... | CommonCrawl |
Abstract: A study is made of the asymptotic behavior of the solution of the scattering problem for a multidimensional Schrödinger equation as $x\to\infty$. The potential is assumed to vary smoothly and decrease more rapidly than the Coulomb potential. The asymptotic behavior of the solution of the scattering problem co... | CommonCrawl |
Farmer John is building a nicely-landscaped garden, and needs to move a large amount of dirt in the process.
The garden consists of a sequence of $N$ flowerbeds ($1 \leq N \leq 100,000$), where flowerbed $i$ initially contains $A_i$ units of dirt. Farmer John would like to re-landscape the garden so that each flowerbed... | CommonCrawl |
deleted material, e.g., by typing `I$}'.
! Argument of \d has an extra }.
! Argument of \v has an extra }.
! Please use \mathaccent for accents in math mode.
I'm changing \accent to \mathaccent here; wish me luck.
! Argument of \u has an extra }.
! You can't use `macro parameter character #' in math mode.
Output writte... | CommonCrawl |
I am sorry for this elementary question, but i could not figure out a rigorous proof for why the Lebesgue integral of any function over a null set is zero.
If $\mu(E) = 0$, then $\mu(E \cap A_j) = 0$ for all $j$. Thus $\int_E s \,d\mu = 0$.
The Lebesgue integral of a nonnegative function $f$ is the supremum of integral... | CommonCrawl |
Two of our 10 M31 fields mosaiced together; color based upon our BVR images.
The galaxies of the Local Group serve as our laboratories for understanding star formation and stellar evolution in differing environments: the galaxies currently active in star-formation in the Local Group cover a factor of 10 in metallicity ... | CommonCrawl |
I'm currently trying to understand the Wilcoxon-Rank-Test/Mann-Whitney-Wilcoxon Test, but it got me kind of confused. As far as I understood it is to test whether the null hypothesis $F_X = F_Y$ can be rejected at level $\alpha$, where $F_X$ is the cumulative distribution of the random variable X and same for Y.
Now he... | CommonCrawl |
Chandra, AK and Sumathi, R (1990) Mindo/3 configuration interaction studies of $\alpha$-cleavage processes in organic photochemistry. In: Journal of Photochemistry and Photobiology A: Chemistry, 52 (2). pp. 213-234.
The $\alpha$-cleavage processes (Norrish type I) in several ketones and thiones are examined. The relati... | CommonCrawl |
We consider the minimal non-negative Jacobi operator with $p\times p-$matrix entries. Using the technique of boundary triplets and the corresponding Weyl functions, we describe the Friedrichs and Krein extensions of the minimal Jacobi operator. Moreover, we parametrize the set of all non-negative extensions in terms of... | CommonCrawl |
Thank you for the great work and the flowing updates!
As you're quite firm with the API, maybe you can help me with a slight offtopic question. Is there a way to change the SSID of the guest-wlan? As we need to change the password on a daily base, we'd like to change it as well. like guest20160118 today and guest201601... | CommonCrawl |
Poisson distribution in statistics are defined as one of the most importan chapter. For solving the Poisson distribution we are having one of the formula. By using the formula given for the Poisson Distribution we are calculating the average values. According to the rate of change function we have to calculate the Pois... | CommonCrawl |
I've worked out the T matrix of the tip (position and orientation) with respect to the base frame of a 6 DoF robot for 2 seconds at 1kHz.
So the size of the total T matrix is 4*4*1000.
suppose you calculate the positions of your joints $p_i, i=1\ldots6$ using your homogeneous matrices.
the thing is now, if you want to ... | CommonCrawl |
I often see a situation when professors use words "logic", "mathematical proof" and even prove logically while actually knowing that students are not even familiar with logic itself, i.e. no formal understanding of equivalence, implications, inference rules, etc.
How are students supposed to understand such "proofs" be... | CommonCrawl |
Thürigen, J. (2015). Discrete quantum geometries and their effective dimension. PhD Thesis.
Abstract: In several approaches towards a quantum theory of gravity, such as group field theory and loop quantum gravity, quantum states and histories of the geometric degrees of freedom turn out to be based on discrete spacetim... | CommonCrawl |
Get-Up-and-Go Test is commonly used for assessing the physical mobility of the elderly by physicians.
This paper presents a method for automatic analysis and classification of human gait in the Get-Up-and-Go Test using a Microsoft Kinect sensor.
Two types of features are automatically extracted from the human skeleton ... | CommonCrawl |
We study index theory for manifolds with Baas–Sullivan singularities using geometric $K$-homology with coefficients in a unital $C^*$-algebra. In particular, we define a natural analog of the Baum–Connes assembly map for a torsion-free discrete group in the context of these singular spaces. The cases of singularities m... | CommonCrawl |
Challenging probability problem (AMC 12B Problem 18) - Are the AoPS solutions incomplete/wrong?
A frog makes $3$ jumps, each exactly $1$ meter long. The directions of the jumps are chosen independently at random. What is the probability that the frog's final position is no more than $1$ meter from its starting position... | CommonCrawl |
Both rat derived vascular smooth muscle cells (SMC) and human myofibroblasts contain $\alpha$ smooth muscle actin (SMA), but they utilize different mechanisms to contract populated collagen lattices (PCLs). The difference is in how the cells generate the force that contracts the lattices. Human dermal fibroblasts trans... | CommonCrawl |
You are given a following process.
There is a platform with $ n $ columns. $ 1 \times 1 $ squares are appearing one after another in some columns on this platform. If there are no squares in the column, a square will occupy the bottom row. Otherwise a square will appear at the top of the highest square of this column.
... | CommonCrawl |
Abstract : We propose a new model for finite discrete time-varying graphs (TVGs), suitable for the representation of dynamic networks, for instance. The model we propose is based on the concept that in this class of TVGs there is typically a finite number of nodes and also a finite number of time instants. In this cont... | CommonCrawl |
A graph is called 1-planar if it can be drawn in the plane so that each of its edges is crossed by at most one other edge. We show that every 1-planar drawing of any 1-planar graph on $n$ vertices has at most $n-2$ crossings; moreover, this bound is tight. By this novel necessary condition for 1-planarity, we character... | CommonCrawl |
We construct periodic approximations to the free energies of Ising models on fractal lattices of dimension smaller than two, in the case of zero external magnetic field, using a generalization of the combinatorial method of Feynman and Vodvickenko. Our procedure is applicable to any fractal obtained by the removal of s... | CommonCrawl |
Why is the set-theoretic principle $\diamondsuit$ called $\diamondsuit$?
A shallow answer would just point to theorem 6.2 in Jensen's 1972 paper "The fine structure of the constructible hierarchy", where Jensen introduces this property. Or was this symbol used already earlier for the combinatorial principle?
Is there s... | CommonCrawl |
This is the question posed by Emil Stoyanov in a comment to another page.
Then there exists point $S$ within $\Delta ABC$ such that the four points $M,$ $N,$ $P,$ and $S$ form a parallelogram.
Construct $\Delta M'N'P'$ for which $\Delta MNP$ serves the medial triangle.
This is because sliding $M$ away from $A'$ towards... | CommonCrawl |
Arrows show the direction of current.
The problem I'm getting is if r < R , then R/r > 1 which implies V>E.
How is it possible that the voltage across a resistor can be more than the emf of the battery? I must be mistaking somewhere but I'm unable to find it.
Your $\mathbf E$ is not the emf of the cell.
Assuming that $... | CommonCrawl |
Celsius is a temperature scale.
$0 \cels$, which is set at the melting point of water.
$100 \cels$, which is set at the boiling point of water, as defined at sea level and standard atmospheric pressure.
A temperature measured in Celsius is often referred to as so many degrees Celsius.
The symbol for the degree Celsius ... | CommonCrawl |
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