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Well, I have the following recursive formula (where $\text{n}$ gives the position in the sequence):
$$\text{P}_\text{n}=\alpha\cdot\text{P}_{\text{n}-1}+\text{P}_{\text{n}-2}\tag1$$
For arbitrary $\alpha\in\mathbb{N}^+$.
And I know that $\text{P}_1=\beta$ and $\text{P}_2=\gamma$, where $\beta\space\wedge\space\gamma\in... |
Yeah, this software cannot be too easy to install, my installer is very professional looking, currently not tied into that code, but directs the user how to search for their MikTeX and or install it and does a test LaTeX rendering
Some body like Zeta (on codereview) might be able to help a lot... I'm not sure if he doe... |
Here we want to give an easy mathematical bootstrap argument why solutions to the time independent 1D Schrödinger equation (TISE) tend to be rather nice. First formally rewrite the differential form$$-\frac{\hbar^2}{2m} \psi^{\prime\prime}(x) + V(x) \psi(x) ~=~ E \psi(x) \tag{1}$$into the int...
[Some time travel comme... |
Speaker
Sakshin Bunthawin (Biotechnology of Electromechanics Research Unit, Science of Physics, Faculty of Technology and Environment, Prince of Songkla University, Kathu, Phuket 83120, Thailand)
Description
The present study employs exponential decay pulse-electric field inductions to enhance sex reversal of Nile tila... |
I want to find a two term expansion of the form $x\sim x_0 + \epsilon^\alpha x_1 + \epsilon^\beta x_2 + \ldots$, with $\alpha < \beta < \ldots$, for small $\epsilon$, of each solution $x$ of the following equation: $$ x^2 - 2x + (1 - \epsilon^2)^{25} = 0 $$ I've substituted $x\sim x_0 + \epsilon^\alpha x_1 + \epsilon^\... |
, the Haar wavelets method [ 3 ], Legendre wavelets method [ 4 ], Rationalized haar wavelet [ 5 ], Hermite cubic splines [ 6 ], Coifman wavelet scaling functions [ 7 ], CAS wavelets [ 8 ], Bernoulli wavelets [ 9 ], wavelet preconditioned techniques [ 25 , 26 , 27 , 28 ]. Some of the papers are found for solving Abel′s ... |
In the formulation, presumably on the right side what is intended are 3-dimensional non-degenerate quadratic spaces (up to isomorphism), with discriminant 1 (same as $4^3$ mod squares as John Ma notes). But to make this work also in characteristic 2, it is better to proceed with a different point of view: that of confo... |
Latex Support
LaTeX has been integrated into this site, making it easy to include mathematics in the pages you edit. This is not a standard feature of PmWiki, so it is not covered in the standard documentation on text formatting rules. This page explains how to include LaTeX code in the pages you edit and addresses som... |
A Belyi-extender (or dessinflateur) is a rational function $q(t) = \frac{f(t)}{g(t)} \in \mathbb{Q}(t)$ that defines a map
\[ q : \mathbb{P}^1_{\mathbb{C}} \rightarrow \mathbb{P}^1_{\mathbb{C}} \] unramified outside $\{ 0,1,\infty \}$, and has the property that $q(\{ 0,1,\infty \}) \subseteq \{ 0,1,\infty \}$.
An examp... |
In simple sense, hyperbola looks similar to to mirrored parabolas. The two halves are called the branches. When the plane intersect on the halves of a right circular cone angle of which will be parallel to the axis of the cone, a parabola is formed.
A hyperbola contains: two foci and two vertices. The foci of the hyper... |
A linear-quadratic control problem of uncertain discrete-time switched systems
1.
School of Science, Nanjing Forestry University, Nanjing 210037, China
2.
School of Science, Nanjing University of Science & Technology, Nanjing 210094, China
This paper studies a linear-quadratic control problem for discrete-time switched... |
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Now showing items 1-10 of 108
Measurement of electrons from beauty hadron decays in pp collisions at root √s=7 TeV
(Elsevier, 2013-04-10)
The production cross section of electrons from semileptonic decays of beauty hadrons was measured at mid-rapidity (|y| < 0.8) in the transverse momentum range 1 < pT <8 GeV/c ... |
Solar Emission in the ISM band
The sun is 6.955e8 meters in diameter, and 1.496e11 meters away. Its effective black body temperature is 5778k.
The Planck black body spectrum is:
\Large { { 2 h {\nu}^3 } \over { c^2 ( e^{h \nu / k T } - 1 ) } } Watts / steradian m
2 Hz
For h \nu << kT , this approximates to:
\large { { ... |
2019-09-12 16:43
Pending/LHCb Collaboration Pending LHCB-FIGURE-2019-008.- Geneva : CERN, 10 詳細記錄 - 相似記錄 2019-09-10 11:06
Smog2 Velo tracking efficiency/LHCb Collaboration LHCb fixed-target programme is facing a major upgrade (Smog2) for Run3 data taking consisting in the installation of a confinement cell for the gas ... |
Define a multi-particle "breeding" random walk $\mathcal{W_p}$ in $d$ dimensions, for $p \in (0,1)$ as follows:
The state of $\mathcal{W_p}$ at integer time $t\geq 0$ consists of the pair $(k, x)$ where $k \in \Bbb{Z}^+ \cup 0$ and $x \in \left(\Bbb{Z}^d \right)^k$. Informally, the state at time $t$ consists of zero or... |
Hi Reinhard,
Thanks for the detailed report.
I’m afraid this issue has been logged in the past (albeit relatively recently) and I haven’t had the time to look into it properly. It certainly needs to be addressed. See: https://github.com/wspr/unicode-math/issues/497
Regarding the loading order, I have even thought that ... |
Exponential stability for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping
Department of Mathematics, State University of Maringa, Maringa, 87020-900, Brazil
$ \begin{eqnarray*} i\psi_t + \Delta \psi + i \alpha b(x)(|\psi|^{2} + 1)\psi & = & \phi \psi \chi_{\omega} \; \hbox{in}\; \Omega \... |
Prior to calculators, the standard way for determining a logarithm precisely was to use a look-up table for values. However, such tables were usually only printed for the common most bases, particularly 10 (log). To determine a logarithm for a different base, you needed to first convert to that base.
Luckily, it’s very... |
Our paper is on indeterminate strings, which are important for their applicability in bioinformatics. (They have been considered, for example, in Christodoulakis 2015 and Helling 2017.)
An interesting feature of indeterminate strings is the natural correspondence with undirected graphs. One aspect of this correspondenc... |
External Direct Sum of Rings is Ring Theorem
Let $\left({R_1, +_1, \circ_1}\right), \left({R_2, +_2, \circ_2}\right), \ldots, \left({R_n, +_n, \circ_n}\right)$ be rings.
Then their (external) direct product: $\displaystyle \left({R, +, \circ}\right) = \prod_{k \mathop = 1}^n \left({R_k, +_k, \circ_k}\right)$
is a ring.... |
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Now showing items 1-1 of 1
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
№ 9
All Issues Pelyukh G. P.
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 1. - pp. 129-138
We establish new properties of the solutions of a differential-functional equation with linearly transformed argument.
Fedorenko V. V., Ivanov А. F., Khusainov D. Ya., Kolyada S. F., Maistrenko Yu. L., Parasyuk I. O., Pelyukh G. P., ... |
Smoothing effects for some derivative nonlinear Schrödinger equations
1.
Department of Applied Mathematics, Science University of Tokyo, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162
2.
Instituto de Física y Matemáticas, Universidad Michoacana, AP 2-82, CP 58040, Morelia, Michoacana
3.
Department of Applied Mathematics, Scie... |
Definition:Scalar Ring Contents Definition
Let $\left({S, *_1, *_2, \ldots, *_n, \circ}\right)_R$ be an $R$-algebraic structure with $n$ operations, where:
$\left({R, +_R, \times_R}\right)$ is a ring $\circ: R \times S \to S$ is a binary operation. Then the ring $\left({R, +_R, \times_R}\right)$ is called the scalar ri... |
Definition:Quotient Ring Definition
Let $\struct {R, +, \circ}$ be a ring.
Let $J$ be an ideal of $R$.
Let $R / J$ be the (left) coset space of $R$ modulo $J$ with respect to $+$. Define an operation $+$ on $R / J$ by: $\forall x, y: \paren {x + J} + \paren {y + J} := \paren {x + y} + J$
Also, define the operation $\ci... |
Upper and Lower Bounds of Integral Theorem
Let $\displaystyle \int_a^b \map f x \rd x$ be the definite integral of $\map f x$ over $\closedint a b$.
Then: $\displaystyle m \paren {b - a} \le \int_a^b \map f x \rd x \le M \paren {b - a}$
where:
on $\closedint a b$.
Suppose that $\forall t \in \left[{a \,.\,.\, b}\right]... |
I see a question quite a lot in past exam papers that goes like propose a quantum circuit that generates the state $|\psi \rangle$ given the initial state $|\phi\rangle$
Here's an example:
Given the initial state $|000 \rangle $ propose a quantum circuit that generates the state
$$|\psi \rangle=\tfrac{1}{\sqrt{2}} (|++... |
Last time we revisited Robin’s theorem saying that 5040 being the largest counterexample to the bound
\[ \frac{\sigma(n)}{n~log(log(n))} < e^{\gamma} = 1.78107... \] is equivalent to the Riemann hypothesis.
\[
\Psi(n) = n \prod_{p | n}(1 + \frac{1}{p}) \]
where $p$ runs over the prime divisors of $n$. It is series A001... |
Returns the group delay of the argument. Group delay is defined as:
\[ \frac{d}{dx}\left(\text{phase}\left(y\right)\right)\cdot \frac{1}{2\pi} \]
where ???MATH???y???MATH??? is the supplied vector and ???MATH???x???MATH??? is its reference. The GroupDelay function expects the result of an AC analysis where ???MATH???y?... |
Lamé's Theorem - the Very First Application of Fibonacci Numbers
Among the unique properties of number five, Joe Roberts counts the appearance of five in one of the formulations of Lamé's theorem:
In carrying out the Euclidean algorithm to find the greatest common divisor of two positive integers \(a\) and \(b\), the n... |
Difference between revisions of "Past Probability Seminars Spring 2019"
(→Past Seminars Spring 2019)
(→Past Seminars Spring 2019)
Line 1: Line 1: − −
[[Probability Seminar | Back to Current Probability Seminar Schedule ]]
[[Probability Seminar | Back to Current Probability Seminar Schedule ]]
[[Past Seminars | Back to ... |
Lower Semicontinuous with Lipschitz Coefficients
Lower Semicontinuous with Lipschitz Coefficients
Abstract
We are interested in integral functionals of the form
$$ \boldsymbol{J}(U, V) =\int_{\Omega }J\big(x, U(x), V(x)\big) dx,$$ where $J$ is Carath\'eodory positive integrand, satisfying some growth condition of order... |
This doesn't use the Peano-Baker series, but you can calculate the state transition matrix using NDSolve.The state transition matrix has the following properties:$\Phi(t_0,t_0) = I$, (where $I$ is the identity matrix)$\frac{d}{dt} \Phi(t,t_0) = A(t) \Phi(t,t_0) $For a time-varying matrix $A(t)$ of size $n \times n$, an... |
Conjugate Heat Transfer
In this blog post we will explain the concept of
conjugate heat transfer and show you some of its applications. Conjugate heat transfer corresponds with the combination of heat transfer in solids and heat transfer in fluids. In solids, conduction often dominates whereas in fluids, convection usu... |
Here we want to give an easy mathematical bootstrap argument why solutions to the time independent 1D Schrödinger equation (TISE) tend to be rather nice. First formally rewrite the differential form$$-\frac{\hbar^2}{2m} \psi^{\prime\prime}(x) + V(x) \psi(x) ~=~ E \psi(x) \tag{1}$$into the int...
[Some time travel comme... |
Recently two nice papers appeared on the arXiv, the most recent by Galley and Masanes, and the oldest by López Grande et al.. They are both – although a bit indirectly – about the age old question of the equivalence between proper and improper mixtures.
A proper mixture is when you prepare the states $\ket{0}$ and $\ke... |
After developing and optimizing a method, the next step is to determine how well it works in the hands of a single analyst. Three steps make up this process: determining single-operator characteristics, completing a blind analysis of standards, and determining the method’s ruggedness. If another standard method is avai... |
I'm new to Mathematica and I'm trying to integrate this function:
K = Function[{x,theta}, ((b - x^3 (d/(Cos[theta])^2 - b/x)^3) (e - 2 b/x)^3/(((b - x^3 (e - 2 b/x)^3) (d/(Cos[theta])^2 - b/x)^3))) Sin[theta]]
from $\theta = 0$ to $\theta = \pi$ and from $x = c$ to $x = \frac{f \cos^2(\theta)}{a + \cos^2(\theta)}$ by e... |
Hello, TriKri!
I too got a fourth-degree equation, too.
But there is a way around it . . .
[quote]A 10-m ladder is leaned against a box (1 x 1 x 1 m) placed against a wall.
But the ground is so slippery that the ladder falls over the box and leans against the wall.
How high up on the wall does the ladder reach?
Code:
|... |
A particle moves along the x-axis so that at time t its position is given by $x(t) = t^3-6t^2+9t+11$ during what time intervals is the particle moving to the left? so I know that we need the velocity for that and we can get that after taking the derivative but I don't know what to do after that the velocity would than ... |
Sharp constant and extremal function for the improved Moser-Trudinger inequality involving $L^p$ norm in two dimension
1.
Department of Mathematics, Wayne State University, Detroit, MI 48202, United States
2.
Department of Mathematics, Information School, Renmin University of China, Beijing 100872, China
$\lambda_p(\Om... |
Yes, you read that right.
I've recently been embroiled in a lovely debate on Numberphile's video, "Infinity is bigger than you think", in which Dr. James Grime starts off: "We're going to break a rule. We're breaking one of the rules of Numberphile. We're talking about something that isn't a number. We're going to talk... |
We are trying to build a discrete model for each SLE (Schramm-Loewner evolution) and one key step is solving the following question:
Q: Finding a two-dimensional $\mathbb{H}$-conformally invariant (details below) process $X=(X_{1,\beta},X_{2,\beta})$ in the upper half-plane such that $$c\int^{arg(z)}_{0}\sin(\theta)^{\... |
Title A cyclic integral on k-Minkowski noncommutative space-time Publication Type Journal Article Year of Publication 2006 Authors Agostini, A, Amelino-Camelia, G, Arzano, M, D'Andrea, F Journal Int. J. Mod. Phys. A 21 (2006) 3133-3150 Abstract
We examine some alternative possibilities for an action functional for $\\\... |
Finite-Sample Expressivity of Neural Networks
In the present blog post I would like to present a slighlty altered version of the proof of a theorem in [1]. The statement is about the
finite-sample expressivity of neural networks. You can basically take the approach and present it in a arguably more direct and compact f... |
№ 9
All Issues Shevchuk I. A.
Ukr. Mat. Zh. - 2019. - 71, № 2. - pp. 147-150
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 2. - pp. 230-245
We give an estimate of the general divided differences $[x_0, ..., x_m; f]$, where some points xi are allowed to coalesce (in this case, $f$ is assumed to be sufficiently smooth). This ... |
Owing to the overwhelming excess of \(H_2O\) molecules in aqueous solutions, a bare hydrogen ion has no chance of surviving in water.
Free Hydrogen Ions do not Exist in Water
The hydrogen ion in aqueous solution is no more than a proton, a bare nucleus. Although it carries only a single unit of positive charge, this ch... |
Hi, I'm trying to solve a nonlinear PDE that looks similar to a time-dependent eikonal equation. Can anyone provide me some advise for the best Julia-ecosystem approach to solving it, please?
I'm trying to find $$v:[0,1]\times \mathbb R_{\geq 0}^2$$, such that $$ v_t - \frac{\sigma^2}{2} g^2 v_{gg} - gq_2{\left(\frac{\... |
In philosophy,
Ramsey sentences refer to an attempt by logical positivist philosopher Rudolf Carnap to reconstruct theoretical propositions such that they gained empirical content.
For Carnap, questions such as: “Are electrons real?” and: “Can you prove electrons are real?” were not legitimate questions implying great ... |
The Perron–Frobenius Theorem states the following.
Let $A = (a_{ij})$ be an $n \times n$ irreducible, non-negative matrix ($a_{ij} \geq 0, \forall i,j: 1\leq i,j \leq n$). Then the following statements are true.
$A$ has a real eigenvalue $c \geq 0$ such that $c > |c'|$ for all other eigenvalues $c'$. There is an eigenv... |
Let's begin with a little review of
unweighted median filtering.
Suppose I have a list of $N$ real-valued numbers, $x=x_1,...,x_N$. Let $m_i$ be the median of $K$ consecutive values: $m_i=$ median$(x_i,...,x_{i+K})$. Let $m=(m_1,...,m_{N-K+1})$. The act of transforming $x$ to $m$ is called (unweighted)
median filtering... |
Here’s batch 2 of my old google+ posts on ‘Inter Universal Teichmuller theory’, or rather on the number theoretic examples of Frobenioids.
June 5th, 2013
Mochizuki’s categorical prime number sieve
And now for the interesting part of Frobenioids1: after replacing a bunch of arithmetic schemes and maps between them by a ... |
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Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
Consider the equation $$ u'(t) = (Fu)(t) $$ where $F \colon L^2(0,T;\mathbb R^n) \to L^2(0,T;\mathbb R^n)$ is a causal (Volterra type) nonlinear operator. It means that the value of $(Fu)(t_0)$ depends on values $u(t)$ for $t \in (0,t_0)$.
I need results about solvability of this problem. The book by Gajewski et al. co... |
In evaluating the vacuum structure of quantum field theories you need to find the minima of the effective potential including perturbative and nonperturbative corrections where possible.
In supersymmetric theories, you often see the claim that the Kähler potential is the suitable quantity of interest (as the superpoten... |
Multidimensional Nonparametric Density Estimates: Minimax Risk with Random Normalizing Factor
Multidimensional Nonparametric Density Estimates: Minimax Risk with Random Normalizing Factor
Abstract
We consider nonparametric minimax problem of multidimensional density estimation. Using the concept of random normalizing f... |
Existence of Non-Measurable Subset of Real Numbers Theorem Proof
We construct such a set.
For $x, y \in \left[{0 \,.\,.\, 1}\right)$, define the sum modulo 1:
$x +_1 y = \begin{cases} x + y & : x + y < 1 \\ x + y - 1 & : x + y \ge 1 \end{cases}$
Let $E \subset \left[{0 \,.\,.\, 1}\right)$ be a measurable set.
Let $E_1 ... |
A comprehensive review Buy this book eBook 118,99 € price for Spain (gross) ISBN 978-3-540-92792-1 Digitally watermarked, DRM-free Included format: PDF ebooks can be used on all reading devices Immediate eBook download after purchase Softcover 145,59 € price for Spain (gross) ISBN 978-3-642-10087-1 Free shipping for in... |
Density-based clustering in spatial data (1) This is the first of a series of posts on cluster-algorithms and ideas in data analysis (and related fields). Density-based spatial clustering of applications with noise (DBSCAN) is a data clustering algorithm proposed by Martin Ester, Hans-Peter Kriegel, Jörg Sander and Xia... |
Array Phasing
When we randomly dither the position of the emitters in a 3 dimensional phased array, it smears out the grating lobes. I am looking for a better function.
A position dither function to try:
D = L/2
k = 2 \pi / N * L
\Delta x = D * ( \sin( k z ) + \cos( k y ) )
\Delta y = D * ( \sin( k x ) + \cos( k z ) )
... |
The way I know of to bound generalization error by Rademacher complexity is Theorem 2.4 in this lecture notes, http://ttic.uchicago.edu/~tewari/lectures/lecture9.pdf. Here the quantity on the LHS that Rademacher complexity is trying to upperbound is given as, $L_{\phi}(\hat{f}_{\phi}^*)-\min_{f \in F} L_{\phi}(f)$ wher... |
I just wanted to add that there is a fairly easy proof for your final question: Is every continuous homomorphism between Lie groups actually smooth?
The theorem we need is the closed subgroup theorem (also called the Cartan Theorem): If H is a topologically closed subgroup of a Lie group G, then H is actually an embedd... |
1. Background:
Lense-Thirring precession is the rotation undergone by the spin of a particle located in the gravitational field of a massive spinning body. In terms of asymptotically inertial coordinates $(t,\vec x)$ in a four-dimensional space-time, and if we denote by $\vec J$ the angular momentum of the source, the ... |
№ 9
All Issues Evtukhov V. M. On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 1. - pp. 73-91
We establish the conditions of existence for one class of monotone solutions of two-term nonautonomous differential equations of... |
On Commutativity of Prime Γ-Rings with θ-Derivations
On Commutativity of Prime Γ-Rings with θ-Derivations
Abstract
Let $M$ be a prime $\Gamma-$ring, $I$ a nonzero ideal, $\theta$ an automorphism and $d$ a $\theta-$derivation of $M$. In this article we have proved the following result: (1) If $d([x,y]_{\alpha})=\pm([x,y... |
In mathematics, there are countless sequences such as arithmetic sequences, geometric sequences, and many more. The Fibonacci sequence is one of them, but it is different from other sequences in that it can be easily found in everyday life. Let’s take a look at patterns that can be discovered in Fibonacci numbers and h... |
Here we want to give an easy mathematical bootstrap argument why solutions to the time independent 1D Schrödinger equation (TISE) tend to be rather nice. First formally rewrite the differential form$$-\frac{\hbar^2}{2m} \psi^{\prime\prime}(x) + V(x) \psi(x) ~=~ E \psi(x) \tag{1}$$into the int...
[Some time travel comme... |
Expectation Maximization (from here on called EM) is a method for finding parameter estimates in a probabilistic model where some of the random variables (data or latent variables) are unobserved (often called “missing” when referring to data, but “unobserved” or “hidden” when referring to latent variables). It is a fr... |
Mapper – A discrete generalization of the Reeb graph This is the third of a series of posts on cluster-algorithms and ideas in data analysis. Mapper is a construction that uses a given cluster-algorithm to associate a simplicial complex to a reference map on a given data set. It was introduced by Carlsson–Mémoli–Singh ... |
For any real $2\times 2$ matrix A, $$ \begin{pmatrix} a & b\\ c & d \end{pmatrix}\in \text{Mat}_{\mathbb{R}}(2) $$
Let $S$ be the set $$ S=\{ A\in \text{Mat}_{\mathbb{R}}(2) \mid a^2+b^2+c^2+d^2=1,\det(A)=0\}. $$ Using regular value theorem, I have proved that this is a two dimensional submanifold of $\text{Mat}_{\math... |
May 27th, 2017, 08:51 AM
# 31
Member
Joined: May 2017
From: USA
Posts: 31
Thanks: 0
How can infinity exist inside of presized location.
0 - infinity - 1
0 - infinity - 0.1
0 - infinity - 0.001
As I am still able to pull frames of infinite from each interval.
0 - ( 0.09... 0.099... 0.0999... ) - 0.1
May 28th, 2017, 05:2... |
Einstein probably did not say, "Everything should be made as simple aspossible, but _no simpler_." However, somebody did, and somebody wasright. One of the biggest problems in teaching programming is theconstant pretense that we are not doing complicated mathematics, andthe resulting attempt to hide the math.
There is ... |
Abstract for the talk on 09.02.2018 (11:00 h) Arbeitsgemeinschaft ANGEWANDTE ANALYSIS Tobias Ried(Karlsruher Institut für Technologie) Gevrey smoothing of weak solutions of the homogeneous Boltzmann equation for Maxwellian molecules
We study regularity properties of weak solutions of the homogeneous Boltzmann equation.... |
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Now showing items 31-40 of 182
Jet-hadron correlations relative to the event plane at the LHC with ALICE
(Elsevier, 2017-11)
In ultra relativistic heavy-ion collisions at the Large Hadron Collider (LHC), conditions are met to produce a hot, dense and strongly interacting medium known as the Quark Gluon Plasma (Q... |
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Now showing items 1-1 of 1
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
№ 9
All Issues Gorbachuk V. I.
Ukr. Mat. Zh. - 2007. - 59, № 5. - pp. 579-587
Ukr. Mat. Zh. - 2006. - 58, № 2. - pp. 148–159
For uniformly stable bounded analytic $C_0$-semigroups $\{T(t)\} t ≥ 0$ of linear operators in a Banach space $B$, we study the behavior of their orbits $T (t)x, x ∈ B$, at infinity. We also anal... |
Abstract: In this talk, we explore explicit cross-sections to the horocycle and geodesic flows on $\operatorname{SL}(2, \mathbb{R})/G_q$, with $q \geq 3$. Our approach relies on extending properties of the primitive integers $\mathbb{Z}_\text{prim}^2 := \{(a, b) \in \mathbb{Z}^2 \mid \gcd(a, b) = 1\}$ to the discrete o... |
I’m currently taking a (meta)logic class. There are assigned problem sets. A lot of people either don’t know how to type logical symbols or else cannot be bothered to fight with Word. I’m a fan of LaTeX. I like it for several reasons, one of them being easy use of logical symbols.
There are a lot of guides to using LaT... |
Sinusoids (sines and cosines) are the eigenfunctions of the wave equation. That is if you look for a set of functions $f_{i,\omega}$ for which it is true that$$ \frac{\partial^2 f_{i,\omega}}{\partial x} \pm \frac{1}{c^2} \frac{\partial^2 f_{i,\omega}}{\partial t} = \lambda f_{i,\omega} \;, $$for some real number $\lam... |
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Now showing items 1-1 of 1
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
Six Numbers, Three Inequalities Problem
Solution
The answers to the questions are $\displaystyle \frac{1}{24}$ and $\displaystyle \frac{5}{24},$ respectively.
For the first problem, we choose four digits to place next to the inequality signs. These can be permuted in $4!=24$ ways of which only one satisfies all three i... |
IX - Neural Networks: Learning 9.1 - Cost Function We use Lto denote the total number of layers. We use \(s_l\) = number of units in layer l (not counting the bias unit). We also use Kas the number of output units. With binary classification we would have only one output unit. (K = 1). With multiclass classification, w... |
Proceedings of the 36th International Conference on Machine Learning, PMLR 97:5579-5588, 2019.
Abstract
We present a provably optimal differentially private algorithm for the stochastic multi-arm bandit problem, as opposed to the private analogue of the UCB-algorithm (Mishra and Thakurta, 2015; Tossou and Dimitrakakis,... |
About the Degenerate Spectrum of the Tension Field for Mappings into a Symmetric Riemannian Manifold
About the Degenerate Spectrum of the Tension Field for Mappings into a Symmetric Riemannian Manifold
Abstract
Let $(M,g)$ and $(N,h)$ be compact Riemannian manifolds, where $(N,h)$ is symmetric, $v\in W^{1,2}((M,g),(N,h... |
The usual argument to show that the group of all orientation-preserving symmetries of the Klein quartic is the simple group $L_2(7)$ of order $168$ goes like this:
There are two families of $7$ truncated cubes on the Klein quartic. The triangles of one of the seven truncated cubes in the first family have as center the... |
Answer
$651.92 ft$ The angle increases the final depth gradually.
Work Step by Step
Here, we have $\tan 15^{\circ}=\dfrac{d}{1500}$ This gives: $ d \approx 1500 tan 15^{\circ}$ and $d \approx 401.92 ft$ Thus, $401.92 ft+ 250 ft =651.92 ft$ Hence, the angle increases the final depth gradually. |
Imagine doing a hypothetical experiment that would lead to the discovery of electron spin. Your laboratory has just purchased a microwave spectrometer with variable magnetic field capacity. We try the new instrument with hydrogen atoms using a magnetic field of 10
4 Gauss and look for the absorption of microwave radiat... |
Article
Keywords: least concave majorant; level function; spline approximation
Summary: The least concave majorant, $\hat F$, of a continuous function $F$ on a closed interval, $I$, is defined by \[ \hat F (x) = \inf \{ G(x)\colon G \geq F,\ G \text { concave}\},\quad x \in I. \] We present an algorithm, in the spirit ... |
A
definite description is a denoting phrase in the form of "the X" where X is a noun-phrase or a singular common noun. The definite description is proper if X applies to a unique individual or object. For example: "the first person in space" and "the 42nd President of the United States of America", are proper. The defi... |
Honest answer for your question is
''No''! As in the standard model (SM), the number of fermion generations appears as an arbitrary parameter, meaning that a mathematically consistent theory can be built up using any number of fermion generations. Therefore, In order to answer the question perhaps we may need to beyond... |
Rocky Mountain Journal of Mathematics Rocky Mountain J. Math. Volume 48, Number 7 (2018), 2311-2335. Dominating sets in intersection graphs of finite groups Abstract
Let $G$ be a group. The intersection graph $\Gamma (G)$ of $G$ is an undirected graph without loops and multiple edges, defined as follows: the vertex set... |
Linear/Eigenvalue Buckling analysis are fairly easy to set up and post process. Typically an Eigenvalue Buckling Analysis is preceded by a static structural analysis with perturbation load leading to compressive stress field being generated in the model. The pre-stressed model from the static structural analysis is the... |
I’m trying to get into the latest Manin-Marcolli paper Quantum Statistical Mechanics of the Absolute Galois Group on how to create from Grothendieck’s dessins d’enfant a quantum system, generalising the Bost-Connes system to the non-Abelian part of the absolute Galois group $Gal(\overline{\mathbb{Q}}/\mathbb{Q})$.
In d... |
The Helmholtz free energy \(A (N, V, T ) \) is a natural function of \(N, V \) and \(T\). The isothermal-isobaric ensemble is generated by transforming the volume \(V\) in favor of the pressure \(P\) so that the natural variables are \(N\), \(P\), and \(T\) (which are conditions under which many experiments are perform... |
If polarization is interpreted as a pattern/direction of the electric-field in an electromagnetic wave and the frequency as the frequency of oscillation, how can we interpret polarization and frequency when we are dealing with one single photon?
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Density-based clustering in spatial data (2) This is the second of a series of posts on cluster-algorithms and ideas in data analysis (and related fields). Ordering points to identify the clustering structure (OPTICS) is a data clustering algorithm presented by Mihael Ankerst, Markus M. Breunig, Hans-Peter Kriegel and ... |
We know that the density matrix for a 2-qubit system can be written in the Pauli representation as :
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1. Background:
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On this page I am going to collect wordpress plugins and other resources that I use and like.
Contents
Plugins currently in use Akismet
This is probably the most important plugin, it protects your blog from spam. It comes with your wordpress installation (also when self hosted) and you only need to request a key. It is... |
One can compute the amount of twin primes below a positive integer $n$ by using the Mathematica command (taken from OEIS A001097):
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The twin prime conjecture states that this value should approach $1.320323632\ldots\times\int_2^n \frac{dt}{\log^2 t}$. So I tried using
N[I... |
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