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I'm trying to apply homotopy type theory as a theoretical foundation for describing how database query plans solve relational algebra queries. I'm modeling the problem as, given a set of input function types and constraints on composing them, and a goal function type, find a composition of the input functions which has... |
Write the Pythagorean equation $a^2 + b^2 = c^2$ under the form $N(z) =c^2$ , where $z = a + ib$ in $Z[i]$ and N denotes the norm map of $Q(i)/Q$ . Since the norm is multiplicative, it is sufficient to solve the same problem where c is replaced by a prime p factor of c. In your example(s), you take such a p to be congr... |
Atiyah classes and dg-Lie algebroids for matched pairs
; Voglaire, Yannick
in Journal of Geometry & Physics (2017)
For every Lie pair $(L,A)$ of algebroids we construct a dg-manifold structure on the $\ZZ$-graded manifold $\M=L[1]\oplus L/A$ such that the inclusion $\iota: A[1] \to \M$ and the projection $p:\M\to L[1 .... |
I have a problem where I need to determine if a point is contained in the area of a circle in 3d space.
For my circle, I have the radius (R), the position of the center (C) and a normal vector to the circle (N). With that, I can easily draw my circle.
Now, I will have a point generated and I want to know if this point ... |
This is an interesting question a lot of good labour economists have been thinking about for a while. There are a few conflicting theories as to what will happen. You could base a whole career on this question.This IGM survey will give you some idea as to what leading economists think.The prevailing opinion seems to be... |
In superconducting quantum computing resonators are typically an LC circuit. If L and C are fixed the resonator will have a fixed resonance frequency. However, I heard that in the group of Prof. John Martinis they are using a different type of resonators that their frequency is tunable. The tunability is somehow possib... |
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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 ... |
A friend of mine did an exercise where a part of the text was:
In $\mathbb{R}^3$, with euclidian topology, we consider $X=\mathbb{S}^2 \setminus \{ N \}$, where $N= (0,0,1)$ and $E=\{(x,y,z) \in \mathbb{S}^2 \mid z=0 \}$. Let be $Y= X/E$ the quotient space obtained from the contraction of $E$ to one point and let $\pi\... |
Can any polynomial $P\in \mathbb C[X]$ be written as $P=Q+R$ where $Q,R\in \mathbb C[X]$ have all their roots on the unit circle (that is to say with magnitude exactly $1$) ?
I don't think it's even trivial with degree-1 polynomials... In this supposedly simple case, with $P(X)=\alpha X + \beta$, this boils down to fin... |
Returns an array of cells for the standardized residuals of a given ARMA model.
Syntax ARMA_RESID( X, Order, mean, sigma, phi, theta) X is the univariate time series data (a one dimensional array of cells (e.g. rows or columns)). Order is the time order in the data series (i.e. the first data point's corresponding date... |
I want to know the first order autocorrelation of a VAR(1) model. That can be calculated as follows $\rho(1)=\frac{\gamma(1)}{\gamma(0)}$ where $\gamma(1)$ denotes the covariance and $\gamma(0)$ denotes the variance.
A VAR(1) model can be described as follows: $$r_t=c+\Gamma r_{t-1}+\varepsilon_t$$ with $\varepsilon_t ... |
I have been wondering this question for a long time without getting an answer, I just arrive to necessary conditions but I would like to get a characterization of the problem. The problem is, if I have a linear operator, $T:V \to V$, on a space of functions $V$ then,
When is true that $T(\sum^{\infty}\alpha_nf_n) = \su... |
Problem - need help for part (ii)
Let $\vec{F} = y \vec{i} -x \vec{j} + z \vec{k}$ and let the surface $S$ be the part of the paraboloid $ z = 4 - x^2 - y^2$ with $z \geq 0 $, oriented with $\vec{n}$ upwards. Calculate the flux integral $\int_S \vec{F} \cdot d\vec{S}$ using
i) Cartesian coordinates
ii) cylindrical coor... |
Difference between revisions of "Permanent"
(MSC 15A15 05B20)
m (link)
Line 63: Line 63:
The most familiar problem in the theory of permanents was van der Waerden's conjecture: The permanent of a [[doubly-stochastic matrix]] of order $n$ is bounded from below by $n!/n^n$, and this value is attained only for the matrix ... |
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I could move on to more realistic examples of collaborative design, but it would take a while to develop these, and I think our time will be better spent reaping the rewards of the mathematical work we've already done. So, for more ... |
I am facing problems computing the inflection point
We have $$f(x) = (2x^2-x^3)^{1/3}$$
Let's assume $f$ is defined like: $f:\Bbb{R}\to \Bbb{R}$ (As far as I read on wikipedia, it's a matter of opinion. You could also say $f: (- \infty,2]\to \Bbb{R}$)
But we assume $f:\Bbb{R}\to\Bbb{R}$
$$f'(x) = \frac{4x-3x^2}{3(2x^2-... |
Perhaps this is too trivial to bear mentioning, but I'll mention it anyway: one class of languages comes to mind (although there may be much more interesting classes of languages than this which satisfy the property).
Consider a family of languages $\{\{\epsilon\}, \{w\}, \{ww\}, ..., \{w^n\}, ...\}$ where $w \in \Sigm... |
14 0 Homework Statement A yo-yo is placed on a conveyor belt accelerating ##a_C = 1 m/s^2## to the left. The end of the rope of the yo-yo is fixed to a wall on the right. The moment of inertia is ##I = 200 kg \cdot m^2##. Its mass is ##m = 100kg##. The radius of the outer circle is ##R = 2m## and the radius of the inne... |
The classical harmonic oscillator is commonly obtained from the canonical first order Lagrangian: $$L_1=\textstyle\frac{1}{2}m\dot{q}^2-\textstyle\frac{1}{2}kq^2$$ However, if you add the term (I do not understand the reason why it works) $L_2=d(-mq\dot{q}/2)/dt$, you get the Lagrangian (equivalent?):
$$L_3=L_1+L_2=-\d... |
The $\mathbb{Z_5}$-vector space $\mathfrak{B}$ 3 over the field $(\mathbb{Z_5}, +, .)$ $\mathfrak{B}$ 3over the field $(\mathbb{Z_5}, +, .)$ 1. BackgroundThis is a formal introduction to the genetic code $\mathbb{Z_5}$-vector space $\mathfrak{B}^3$ over the field $(\mathbb{Z_5}, +, .)$. This mathematical model is defin... |
I can see this as clearly true because - assuming the action free - if $g_1 \not=g_2$, then $g_1 \cdot x \not= g_2 \cdot x$ for all $x \in X$ implies it holds true for some $x \in X$, so the actions is faithful.
However, our teacher defined faithful actions interms of the action induced homomorphism $ \phi : G \to S(X)... |
In finding a modular inverse, you are trying to solve the modular equation$$ax\equiv 1\pmod n.$$Ordinarily, you use the Extended Euclidean Algorithm for this to solve the equation $ax+ny=1$. If the numbers $a$, and $n$ are small, then simple trial and error is probably just as fast or faster.
For your example, we have ... |
What kinds of bias can dice have?
Lots of kinds, actually. Perhaps the most common accidentally occurring types of bias are:
"Shaved" dice, which are not quite symmetrical, but slightly wider or narrower on one axis than on others. A shaved d6 with, say, the 1–6 axis longer than the others will roll those sides less of... |
Also read, Circle Formulas Area Formulas Lines and Angles Straight Line Conic Section Formula Coordinate geometry:
To study coordinate geometry formula we must know about quadrants. As there are for quadrants each has its own sign rule.
Quadrants: All the four quadrants have their respective values with respective sign... |
I have an idea and I want to check if it is already a thing.
I have an optimization problem currently solvable using sequential least squares. If it matters, the objective function and constraints are determined according to this paper but I think my idea is more general.
Edited to add this paragraph about the original... |
Identify key patterns and apply mathematical reasoning to solve in a few tens of seconds
The chosen problem in this session is awkward and if you attempt to solve it through conventional deductions, it would be tedious and time consuming. You may even lose your way in confusion. Instead, if you are able to identify use... |
See edit at the end of the question
All the references in this question refer to Quantum algorithm for solving linear systems of equations (Harrow, Hassidim & Lloyd, 2009).
HHL algorithm consists in an application of the quantum phase estimation algorithm (QPE), followed by rotations on an ancilla qubit controlled by t... |
Let $n$ be an integer greater than $1$. The notation $f^n$ is notoriously ambiguous: it means either the $n$-th iterate of $f$ or its $n$-th power.
I was wondering when the two interpretations are in fact the same. In other words, if we write $f^n(x)$ for $f(f(\dotsb f(x) \dotsb))$ and $f(x)^n$ for $f(x) \cdot f(x) \do... |
I learn the property of standing wave in undergraduate project some times ago. From my text, two opposite propagating waves add up to a wave with node staying in place my amplitude is oscillating in time as
$$ \cos(kx + \omega t) + \cos(-kx + \omega t) = 2\cos(\omega t)\cos(kx) $$
I saw an experiment with using an stri... |
I found something in a lecture on Simon's algorithm that I do not quite understand how to interpret. There the following is said:
$$\sum_{y\in\{0,1\}^n}|y\rangle\left(\sum_{x\in\{0,1\}^n} (-1)^{x\cdot y}|f(x)\rangle\right)$$
So we assume a 1 to 1 function and $s=0$. As far as that is understandable. Then it says (that'... |
Difference between revisions of "Stokes' Theorem"
m
(I was mistaken about "Green's Theorem", but the k=2 case really is called Stokes' Theorem in many textbooks.)
Line 5: Line 5:
where ''d'' is the [[exterior derivative]].
where ''d'' is the [[exterior derivative]].
−
There are a number of well-known special cases of S... |
Let $X_1, X_2, . . . , X_n$ be a random sample from a uniform distribution on $[0, \theta]$. Suppose results $x_1, x_2, . . . , x_n$ are observed. Since $f(x) = 1/\theta$ for $0 \leq x \leq \theta$, the likelihood function is:
$L(\theta) = 1/\theta^n$ $0 \leq x_1 \leq \theta$, $. . .$ , $0 \leq x_n \leq \theta$ and zer... |
I know that wave velocity is the product of wavelength and frequency, and that velocity is proportional to string tension. Does this mean that if you increase the tension on a string, the wavelength, frequency, and velocity will all increase?
This is something that I always see students getting tripped up with.
The equ... |
ISSN:
1078-0947
eISSN:
1553-5231
All Issues
Discrete & Continuous Dynamical Systems - A
January 2002 , Volume 8 , Issue 1
Select all articles
Export/Reference:
Abstract:
This paper is concerned with random lattice operators on $\mathbb Z^2$ of the form $H_\omega = \Delta + V_\omega$ where $\Delta$ is the lattice Laplac... |
What is the value of this product? $$\prod_{n=1}^{\infty}\left(1+\frac{1}{2^n}\right)$$
Me and my friend came across this product. Is the product till infinity equal to $1$?
If no, what is the answer?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in rel... |
In Rudin 4.10 he wants us to show that a continuous function from a compact metric space to a metric space is uniformly continuous by deriving that if $f$ is not uniformly continuous then there is an $\epsilon >0$ such that there are two sequences $(p_n)$ and $(q_n)$ such that $d(p_n, q_n) \to 0$ and $d(f(p_n,f(q_n))>\... |
I'm wondering how a set of keys could be assigned to nodes in a 2-3-4 tree in order to minimize the height of the tree?
Does the sequence of insertion matter with 2-3-4 trees?
Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of computer science. It only takes a m... |
On the DNA Computer Binary Code
In any finite set we can define a
, a partial order in different ways. But here, a partial order is defined in the set of four DNA bases in such a manner that a Boolean lattice structure is obtained. A Boolean lattice is an algebraic structure that captures essential properties of both s... |
First let us assume that $c_1, c_2, c_3$ are coprime, that is $(c_1, c_2, c_3) = 1$.
Suppose first that there exist integer numbers $u_1, u_2, u_3$ and $v_1, v_2, v_3$ such that$$\begin{vmatrix}c_1 & c_2 & c_3 \\ u_1 & u_2 & u_3 \\ v_1 & v_2 & v_3\end{vmatrix} = 1$$
In that case we can take $a = c \times u$ and $b = c ... |
Let $S_{k},$ where $k=1,2,3,\cdots \cdots ,100$ denote the sum of the infinite geometric series whose first term is $\displaystyle \frac{k-1}{k!}$ and the common ratio is $\displaystyle \frac{1}{k},$ then the value of $\displaystyle \frac{100^2}{100!}+\sum^{100}_{k=1}|(k^2-3k+1)S_{k}|$ is
$\displaystyle S_{k} = \frac{a... |
Is the following proof valid?
Let $X$ and $Y$ be jointly continuous random variables such that the joint density function is given by $$ f(x,y) = \begin{cases} ye^{-(x+y)} & \text{ for } x>0, y>0 \\ 0 & \text{ otherwise } \end{cases} $$
Then $X$ and $Y$ are dependent.
Proof
Let $X$ and $Y$ be continuous random variable... |
I am a math undergraduate at my local university, and I have decided to make it a habit to attend the weekly seminars that are given by the faculty.
Today, the talk was on the
Dynamic Mordell-Lang conjecture, which I can safely say is a piece of mathematics on the 'frontier'. I was writing stuff as the talk was being g... |
Classic auto-regressive models can handle cycles! Going way back, Yule (1927) and Walker (1931) modeled the periodicity of sunspots using an equation of the form:
$$y_{t+1} = a + b_1 y_t + b_2 y_{t-1} + \epsilon_{t+1}$$
Sunspot activity tends to operate on 11 year cycles, and though it's not immediately obvious, the in... |
Abbreviation:
JorA
A
is a nonassociative algebra $\mathbf{A}=\langle A,+,-,0,\cdot,s_r\ (r\in F)\rangle$ such that Jordan algebra
$\cdot$ is commutative: $xy=yx$
the Jordan identity holds: $(xy)x^2=x(yx^2)$
Remark: This is a template. If you know something about this class, click on the 'Edit text of this page' link at... |
This is an excellent series of questions, so I will have a go at part of it! I will start with an example from Verdeyen’s book (J. T. Verdeyen, Laser Electronics, Prentice-Hall, Inc., Englewood Cliffs, NJ, ©1981, Chapter 14). Assume $\lambda$ = 500 nm, quantum efficiency = 0.15, photomultiplier (PMT) gain = 1.68x$10^7$... |
uses interest rate and calculates a number of years and/or mounts needed to get money doubled based on the given interest rate. It's an online investment returns calculation tool programmed to estimate how many years and/or months are required to get your money or investment double the value. Time to Double the Money c... |
Introduction to the Classical Discrete Fourier transform:
The DFT transforms a sequence of $N$ complex numbers $\{\mathbf{x}_n\}:=x_0,x_1,x_2,...,x_{N-1}$ into another sequence of complex numbers $\{\mathbf{X}_k\}:=X_0,X_1,X_2,...$ which is defined by $$X_k=\sum_{n=0}^{N-1}x_n.e^{\pm\frac{2\pi i k n}{N}}$$ We might mul... |
I am trying to build a Convolutional Neural Network (CNN) from scratch to learn its basics. However, I haven't found any information about
how the weights from the kernels get updated in each iteration using backpropagation.
The only explanation I found on the internet was this one but I'm not sure if that is right or ... |
Abbreviation:
RpoMon
A
(or residuated partially ordered monoid ) is a structure $\mathbf{A}=\langle A,\le,\cdot,1,\backslash,/\rangle$ such that rpo-monoid
$\langle A,\le\rangle$ is a partially ordered set,
$\langle A,\cdot,1\rangle$ is a monoid and
$\backslash$ is the left residual of $\cdot$: $x\cdot y\le z\iff y\le ... |
Suppose we have an $n\times n$ zero/one matrix $M$, with $k$ ones. Let us say that the
extent of $M$ is the maximum of $i+j$ over all ones at positions $(i,j)$ of the matrix, and the quality $q(M)$ is the minimum of the extent of $PMQ$ taken over all permutation matrices $P$ and $Q$. Let $f(n,k)$ be the maximum of $q(M... |
Answer
The statement “For the piecewise function defined by $ f\left( x \right)=\left\{ \begin{align} & \frac{{{x}^{2}}-25}{x-5}\text{ if }x\ne 5 \\ & \text{12 if }x=5\text{ } \end{align} \right.$, $\,\underset{x\to 5}{\mathop{\lim }}\,f\left( x \right)$ exists and is equal to $10$, so f is continuous at $5$” is false.... |
What logarithm even means
Here's what a logarithm is asking:
"What power must we raise this base to, in order to get this answer?"
So if we say:
The 10 is called the
base (makes sense—it's on the bottom). Think of the 100 as the "answer." It's what we're taking the log of. So this expression would be pronounced "log ba... |
Hi, Can someone provide me some self reading material for Condensed matter theory? I've done QFT previously for which I could happily read Peskin supplemented with David Tong. Can you please suggest some references along those lines? Thanks
@skullpatrol The second one was in my MSc and covered considerably less than my... |
In the Wikipedia article on Hilbert's Nullstensatz, http://en.wikipedia.org/wiki/Hilbert%27s_Nullstellensatz the following application of the Weak Nullstensatz is mentioned:
Commuting matrices
The fact that commuting matrices have a common eigenvector – and hence by induction stabilize a common flag and are simultaneou... |
I have multiple different operators in matrix form and I need to find their common eigenstates. The challenge is that the common eigenstate is in a superposition of multiple states and isn't just a single eigenvector. Can someone give me an idea of how to do this? How would I figure out what a common eigenstate in the ... |
I try to use a littlebit category theory to have a better overview of the results in the theory of $c^*$-algebras, but I really have to read an introduction to category theory because I know almost nothing about it.
My first question is: What are the isomorphisms in the category of commutative, unital $c^*$-algebras $c... |
An exercise asks me to prove the following: $$A \cap (B-A) = \varnothing$$ This is what I did:
I need to prove that $A \cap (B-A) \subseteq \varnothing$ and $\varnothing \subseteq A \cap (B-A)$
The second one seems to be obvious by definition (not sure if it is fine to say that in a test).
But the first one goes like t... |
Abbreviation:
CIOMon
A
is a commutative (totally) ordered monoid $\mathbf{A}=\langle A,\cdot,1,\le\rangle$ that is commutative integral ordered monoid : $x\le 1$ integral
Remark: This is a template. If you know something about this class, click on the ``Edit text of this page'' link at the bottom and fill out this page... |
On the DNA Computer Binary Code
In any finite set we can define a
, a partial order in different ways. But here, a partial order is defined in the set of four DNA bases in such a manner that a Boolean lattice structure is obtained. A Boolean lattice is an algebraic structure that captures essential properties of both s... |
Let $\Omega $ a smooth bounded open subset of $\mathbb R^d$ ($d\geq 2$) and let $u\in \mathcal C^2(\bar \Omega )$ the solution of the equation $$-\Delta u(x)+\partial _{x_1}u(x)=0\ \ \ in\ \ \Omega. $$
Prove that $$\sup_{\overline \Omega }u=\sup_{\partial \Omega }u.$$
My first idea was to construct $v$ s.t. $\Delta v=0... |
The other day I was playing around in Matlab, and although I can’t remember what I set out to do I did end up making a small lossy audio compression/decompression system! It seemed like a good topic for a blog post.
The discrete cosine transformation
Before I show the code I’ll have to very briefly introduce the discre... |
The Champernowne constant is not random. Is the Copeland–Erdős constant random? Also if Copeland–Erdős number is normal, then shouldnt the number of $5$s and even digits be low because they cannot appear in as the last digit of prime numbers? So how is it normal if certain digits occur less?
For addition to the answer ... |
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1. Observation of a peaking structure in the J/psi phi mass spectrum from B-+/- -> J/psi phi K-+/- decays
PHYSICS LETTERS B, ISSN 0370-2693, 06/2014, Volume 734, Issue 37... |
I was thinking of the speed of light and realized I don't know how to quickly name the concept of "physical quantity that is measured to be the same in all reference frames". Are there examples of other such constants and how generally do we refer to these?
They are generically called
invariant quantities. Not to be co... |
Abbreviation:
BAO
A
is a structure $\mathbf{A}=\langle A,\vee,0,\wedge,1,\neg,f_i\ (i\in I)\rangle$ such that Boolean algebra with operators
$\langle A,\vee,0,\wedge,1,\neg\rangle$ is a Boolean algebra
$f_i$ is
in each argument: $f_i(\ldots,x\vee y,\ldots)=f_i(\ldots,x,\ldots)\vee f_i(\ldots,y,\ldots)$ join-preserving
... |
I was wondering if this proof of this basic topological result concerning the closure works.
Proposition:Let $A \subseteq (X,\tau)$. Then, $A$ is dense in $X$ if and only if every non-empty open subset of $X$ intersects $A$ non trivially.
Proof: [only if] Assume that $A$ is dense in $X$. This means that $A \cup A' = X$... |
Understanding Ball Lenses
Ball lenses are great optical components for improving signal coupling between fibers, emitters, and detectors. They are also used in endoscopy, bar code scanning, ball pre-forms for aspheric lenses, and sensor applications. Ball lenses are manufactured from a single substrate of glass and can... |
257 23 Homework Statement There is an infinite charged plate in yz plane with surface charge density ##\sigma = 8*10^8 C/m^2## and negatively charged particle at coordinate (4,0,0) Find magnitude of efield at coordinate (4,4,0) Homework Equations E= E1+E2
So I figured to get e-field at point (4,4,0), I need to find the... |
Conditional Probability
To understand
Conditional Probability let us have examples from the real life situations. In the experiment of throwing a dice one might be interested in the probability of the event ‘multiple of 3’, given that the event ‘even number’ occurs in a particular throwing. In the experiment of finding... |
Entanglement is often discussed as being one of the essential components that makes quantum different from classical. But is entanglement really necessary to achieve a speed-up in quantum computation?
Short answer: yes
One has to be a little bit more careful setting up the question. Thinking about a circuit as being co... |
I am a structural engineering student and have limited experience in fluid dynamics. I'm not quite sure if I'm going about the problem in the correct way.
The question is:
An open cylinder of height 5ft and cross sectional area of $1~ft^2$ is initially empty. There is a small hole at the bottom of the cylinder with an ... |
A concentration phenomenon of the least energy solution to non-autonomous elliptic problems with a totally degenerate potential
2-32-2, Kami-takada, Nakano, Tokyo 164-0002, Japan
${\varepsilon ^2}\Delta u -u + K(x)f(u) = 0, \; u > 0\quad {\rm{in}}\; \Omega, \quad u = 0\quad {\rm{on}}\; \partial \Omega, $ K. Here ε> 0 i... |
I took this photo when I saw a plane make a crazy 90 degree turn. What kind of aircraft could do this? I have a plane finder app for commercial aircraft and this plane did not show, which is the first time that's happened.
Aviation Stack Exchange is a question and answer site for aircraft pilots, mechanics, and enthusi... |
TeX will provide the correct spacing if you inform it that you are using
] and
[ in a non-standard way, which can be done by means of
\mathopen and
\mathclose:
\[ \mathopen]-\pi,0\mathclose[ \]
This tells TeX exactly what is going on.
More precisely, TeX assumes that
[ is an Open[ing] atom and the
] is a Close[ing] one... |
Introducing Nonlinear Elastic Materials
Nonlinear elastic materials present nonlinear stress-strain relationships even at infinitesimal strains — as opposed to hyperelastic materials, where stress-strain curves become significantly nonlinear at moderate to large strains. Important materials of this class are Ramberg-Os... |
Here is a similar example:
how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$
This question was closed as an exact duplicate. But $7 \neq 2$ and this makes a difference. Because the new question has then a neater solution, which doesn't work for $7$:
Let $x_n=\sqrt{2+\sqrt{2+\sqrt{2+...+\sqrt{2}}}}$ wher... |
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Now showing items 1-10 of 26
Production of light nuclei and anti-nuclei in $pp$ and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
(American Physical Society, 2016-02)
The production of (anti-)deuteron and (anti-)$^{3}$He nuclei in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV has ... |
Search
Now showing items 1-10 of 26
Production of light nuclei and anti-nuclei in $pp$ and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
(American Physical Society, 2016-02)
The production of (anti-)deuteron and (anti-)$^{3}$He nuclei in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV has ... |
Search
Now showing items 1-10 of 26
Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
I'm having a hard time understanding why one couldn't measure the
inductance of a coil using a simple multimeter capable of measuring AC voltages and currents:
The total series impedance could be expressed as:
$${Z=R+R_L+\omega L}$$
EDIT: given the 90 degrees phase difference, the correct formula is:
$$Z=\sqrt{(R+R_L)^... |
Abbreviation:
ILLA
An
is a structure $\mathbf{A}=\langle A,\vee, \bot, \wedge, \top, \cdot, 1, \backslash, /, 0, !\rangle$ of type $\langle 2, 0, 2, 0, 2, 0, 2, 2, 0, 1\rangle$ such that intuitionistic linear logic algebra
$\langle A,\vee, \wedge, \cdot, 1, \backslash, /, 0\rangle$ is a FL-algebra
$\bot$ is the least e... |
Abbreviation:
NFld
A
is a near-rings with identity $\mathbf{N}=\langle N,+,-,0,\cdot,1\rangle $ such that near-field
$\mathbf{N}$ is non-trivial: $0\ne 1$
every non-zero element has a multiplicative inverse: $x\ne 0\Longrightarrow \exists y (x\cdot y=1)$
Remark: The inverse of $x$ is unique, and is usually denoted by $... |
It's hard to say just from the sheet music; not having an actual keyboard here. The first line seems difficult, I would guess that second and third are playable. But you would have to ask somebody more experienced.
Having a few experienced users here, do you think that limsup could be an useful tag? I think there are a... |
I wasn't at school when we were learning this, and I've forgot how to calculate a square root on paper using a formula?
Can anyone please help me? What is the formula?
I need this to write an algorithm for my college assignment home work. Thanks!
Mathematics Stack Exchange is a question and answer site for people study... |
$\newcommand{\GLp}{\operatorname{GL}_n^+}$ $\newcommand{\SO}{\operatorname{SO}_n}$
Let $n>2$, and Let $A \in \GLp$ be an invertible real $n \times n$ matrix, which commutes with $\SO$.
Is it true that $A= \lambda Id$ for some $\lambda \in \mathbb{R}$ ?
An equivalent requirement is that $A$ commutes with every skew-symm... |
Background on the Adèles
The Adèles $\mathbb{A}_K$ of a number field or function field $K$ are defined as a
restricted product of the complete local fields $K_\nu$, where $\nu$ ranges over all places of $K$. The restricted product is usually defined as the subset of $\prod_\nu K_\nu$ given by
$\mathbb{A}_K := \prod_\nu... |
Gelfond's Constant is Transcendental Theorem $e^\pi$
is transcendental.
Proof
From the Gelfond-Schneider Theorem:
If:
$\alpha$ and $\beta$ are algebraic numbers such that $\alpha \notin \set {0, 1}$ $\beta$ is either irrational or not wholly real
then $\alpha^\beta$ is transcendental.
We have that:
\(\displaystyle i^{-... |
I am looking to estimate a hierarchical GLM but with feature selection to determine which covariates are relevant at the population level to include.
Suppose I have $G$ groups with $N$ observations and $K$ possible covariates That is, I have design matrix of covariates $\boldsymbol{x}_{(N\cdot G) \times K}$, outcomes $... |
I wonder if someone can help me with the following question:
Determine wether the image of the curve $\alpha(t)=(2\cos^2(t)-3,\sin(t)-8,3\sin^2(t)+4), t \in (-\frac{\pi}{2},\frac{\pi}{2}) $ is contained in:
a) a plane or not,
b) a straight line or not.
For a) I need to find the torsion and for b) the curvature, but the... |
(I give a lengthy introduction to a concise question -- scroll down if you want to jump straight up to the question).
Recall that abelian group theory consists of two primitive symbols: $\cdot$ which is a binary function symbol, and $e$ which is a constant. The axioms are:
($G_1$) $\forall x \forall y \forall z \ \ x\c... |
Conjecture. There exists a function $f:\mathbb{N} \rightarrow \mathbb{N}$ such that if $\beta$ is a non-zero element of the complex group algebra $\mathbb{C}[G]$ of a finite group $G$ such that $1\in \text{supp}(\beta)$, and $(1+x+y) \cdot \beta =0$ or $(1+x-y) \cdot \beta =0$ for some distinct and nontrivial $x,y\in G... |
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Change to browse by: Bookmark(what is this?) General Relativity and Quantum Cosmology Title: Conical singularities and the Vainshtein screening in full GLPV theories
(Submitted on 21 Dec 2015 (v1), last revised 2 Mar 2016 (this version, v2))
Abstract: In Gleyzes-Langlois-Piazza-Verni... |
Results
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, 1995
"... In a 1935 paper, and in his book Theory of Probability, Jeffreys developed a methodology for quantifying the evidence in favor of a scientific theory. The centerpiece was a number, now called the Bayes factor, which is the posterior odds of the null hypothesis when the prior proba... |
2. Series 33. Year Post deadline: 18th November 2019 Upload deadline: 19th November 2019 11:59:59 PM
(3 points)1. fast elevator
They say that people inside an elevator can bear with acceleration $a = 2{,}50 \mathrm{m\cdot s^{-2}}$ without any major problems. We want to get to the planned floor as soon as possible. If t... |
In how many ways can we distribute $11$ oranges and $6$ pears to $3$ kids, such that each kid gets at least $3$ orange and a maximum of $2$ pears?
I guess the generating function for the distribution of oranges is $(x^3+x^4+x^5)^3$. It doesn't have $x^6$ because if one kid had six oranges, then $11-6=5$ and one kid wou... |
The hint tells us that the solution $r(t, \epsilon)$ depends on both $t$ (as solutions to differential equations are functions) and on $\epsilon$ (as changing $\epsilon$ changes the differential equation and thus the solution). Since we are thinking of $\epsilon$ as being small, we expand our solution $r(t,\epsilon)$ a... |
Evaluate $$\lim_{x \to -\infty} \left(\frac{\sqrt{1+x^2}-x}{x} \right)$$
I tried by taking $x^2$ out of the root by taking it common.
i.e: $$\lim_{x \to -\infty} \left(\frac{x\sqrt{\frac{1}{x^2}+1}-x}{x} \right)$$ and then cancelling the x in numerator and denominator
$$\lim_{x \to -\infty} \left(\frac{\sqrt{\frac{1}{x... |
Qiaochu, let me see if this answers your question:
Proposition: Suppose $B$ is a cartesian closed category with finite coproducts such that the canonical double dual embedding
$$b \to (b \Rightarrow 0) \Rightarrow 0$$
is an isomorphism (excluded middle). Then $B$ is equivalent (as a category) to a poset, and hence to a... |
Study Radiofrequency Tissue Ablation Using Simulation
Radiofrequency tissue ablation is a medical procedure that uses targeted heat for a variety of medical purposes, including killing cancerous cells, shrinking collagen, and alleviating pain. The process involves applying mid- to high-frequency alternating current dir... |
Abbreviation:
RefRel
A
is a structure $\mathbf{X}=\langle X,R\rangle$ such that $R$ is a reflexive relation (i.e. $R\subseteq X\times X$) that is binary relation on $X$
reflexive: $xRx$
Let $\mathbf{X}$ and $\mathbf{Y}$ be reflexive relations. A morphism from $\mathbf{X}$ to $\mathbf{Y}$ is a function $h:A\rightarrow B... |
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