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GR8677 #5
Alternate Solutions
casseverhart13 2019-09-16 04:53:24 Not too many people would actually think about this the way you just did. click here archard 2010-08-04 14:05:45 It's super easy if you write the kinetic energy as - since momentum is conserved, you don't even need to worry about whether or not the collis... |
Newform invariants
Coefficients of the \(q\)-expansion are expressed in terms of a basis \(1,\beta_1,\beta_2\) for the coefficient ring described below. We also show the integral \(q\)-expansion of the trace form.
Basis of coefficient ring in terms of a root \(\nu\) of \(x^{3}\mathstrut -\mathstrut \) \(x^{2}\mathstrut... |
GR8677 #6
Problem
Mechanics}Vectors
Since there is only one force acting, i.e., the gravitational force, one can find the tangential acceleration by projecting in the tangential direction. Equivalently, one dots gravity with the tangential unit vector, .
There's a long way to do this, wherein one writes out the full Gi... |
In the first week of teaching my Calculus 1 discussion section this term, I decided to give the students a Precalc Review Worksheet. Its purpose was to refresh their memories of the basics of arithmetic, algebra, and trigonometry, and see what they had remembered from high school.
Surprisingly, it was the arithmetic pa... |
The orthogonal group, consisting of all proper and improper rotations, is generated by reflections. Every proper rotation is the composition of two reflections, a special case of the Cartan–Dieudonné theorem.
Yeah it does seem unreasonable to expect a finite presentation
Let (V, b) be an n-dimensional, non-degenerate s... |
Cantor's Theorem (Strong Version)/Proof 2 Contents Theorem
Let $S$ be a set.
Let $\mathcal P^n \left({S}\right)$ be defined recursively by:
$\mathcal P^n \left({S}\right) = \begin{cases} S & : n = 0 \\ \mathcal P \left({\mathcal P^{n-1} \left({S}\right)}\right) & : n > 0 \end{cases}$
where $\mathcal P \left({S}\right)$... |
This question will be based roughly on the Bourgade Keating review on Zeta function and eigenvalue asymptotics (BK): https://link.springer.com/chapter/10.1007/978-3-0348-0697-8_4
To set up the question, we consider the riemann zeta function $\zeta(s)$ with zeros on the critical line $\frac{1}{2} + i t_n$. The unfolded ... |
News
Recent result from PandaX-II was published on Physical Review Letter (Phys. Rev. Lett. 119, 181302, "Editor's Suggestion") on October 30, 2017, back-to-back with the first result from XENON1T experiment. The papers are highlighted by a Physics "Viewpoint" commentary by Dan Hooper from FNAL and Univ. of Chicago, co... |
Answer
$s=r\displaystyle \theta\cdot\frac{180^{\mathrm{o}}}{\pi}$
Work Step by Step
Converting between Degrees and Radians 1. Multiply a degree measure by $\displaystyle \frac{\pi}{180}$ radian and simplify to convert to radians. 2. Multiply a radian measure by $\displaystyle \frac{180^{\mathrm{o}}}{\pi}$ and simplify ... |
GR8677 #9
Alternate Solutions
thinkexist 2012-10-12 14:37:10 You can solve this by common sense and a little physics.
Firstly, it doesn't make much sense for an electron to be traveling speeds comparable to the size of a proton per second. Exclude A, B, C.
You also know that current works by the propagation of the coul... |
This is something I haven't seen online yet, indicator functions with values in a finite field. Probably for a good reason, but I would like to know why, and if there are still things that can be said. For instance what can we say of the relationship (if any) between the support of the convolution of two indicator func... |
I'm trying to create a prediction model using regression. This is the diagnostic plot for the model that I get from using lm() in R:
What I read from the Q-Q plot is that the residuals have a heavy-tailed distribution, and the Residuals vs Fitted plot seems to suggest that the variance of the residuals is not constant.... |
This post is about gambling and how to reason about the odds of winning wagers in multiplayer games.
Last week my mom found herself in an intriguing gambling situation during a game of Mahjong. There were 3 other players in the game—I’ll call them Alice, Betty, and Clara. At one point, Alice proposed a wager; if she wo... |
Last semester, I attended Sage Days 54 at UC Davis. In addition to learning about Sage development (perhaps a topic for a later blog post), I was introduced to FindStat, a new online database of combinatorial statistics.
You may be familiar with the Online Encyclopedia of Integer Sequences; the idea of FindStat is simi... |
The
amsmath package provides a handful of options for displaying equations. You can choose the layout that better suits your document, even if the equations are really long, or if you have to include several equations in the same line.
Contents
The standard LaTeX tools for equations may lack some flexibility, causing o... |
Difference between revisions of "Prime counting function"
(→Breaking the square root barrier)
(Minor smoothing of the first section)
Line 1: Line 1: −
One way to [[finding primes|find primes]] is to find a polynomial time algorithm to compute <math>\pi(x)</math>, the number of primes less than x, to reasonable accuracy... |
@HarryGindi So the $n$-simplices of $N(D^{op})$ are $Hom_{sCat}(\mathfrak{C}[n],D^{op})$. Are you using the fact that the whole simplicial set is the mapping simplicial object between cosimplicial simplicial categories, and taking the constant cosimplicial simplicial category in the right coordinate?
I guess I'm just v... |
Banach Fixed-Point Theorem Theorem
Let $\left({M, d}\right)$ be a complete metric space.
Let $f: M \to M$ be a contraction.
That is, there exists $q \in \left[{0 \,.\,.\, 1}\right)$ such that for all $x, y \in M$:
$d \left({f \left({x}\right), f \left({y}\right)}\right) \le q\, d \left({x, y}\right)$ Then there exists ... |
Definition:Divisor Function
Jump to navigation Jump to search
The
Definition
The
divisor function: $\displaystyle \sigma_\alpha \left({n}\right) = \sum_{m \mathop \backslash n} m^\alpha$ Also see Definition:Tau Function: $\sigma_0 \left({n}\right)$ is the number of divisors of $n$ and is frequently written $d \left({n}... |
For an adiabatic system like a piston where $\delta Q = 0$, using the first law of thermodynamics gives you the following expression:
$$\mathrm dU = \delta Q + \delta W$$
$$\mathrm dU = - p\,\mathrm dV$$
This expression is pretty much useless however, in that you can't integrate it, since $T$, $V$, and $p$ are all cons... |
Difference between revisions of "Timeline of prime gap bounds"
Line 841: Line 841:
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| [http://math.mit.edu/~drew/admissible_41588_474266.txt 474,266]? [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comments Sutherland]... |
Package Description de.lmu.ifi.dbs.elki.algorithm.itemsetmining.associationrules
Association rule mining.
de.lmu.ifi.dbs.elki.algorithm.itemsetmining.associationrules.interest
Association rule interestingness measures.
Modifier and Type Field and Description
protected InterestingnessMeasure
AssociationRuleGeneration.
i... |
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We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
Classical Euclidean geometry is one of the oldest branches of mathematics, and in my opinion still as beautiful as ever. Here is a cute little geometric gemstone that was introduced to me recently by a fellow staff member at MOSP.
Consider a triangle $ABC$ drawn in the plane. Let $M$ be the midpoint of $BC$, and let $O... |
Edward Frenkel (together with Boris Feigin and others) has proven many interesting results connecting the representation theory of an affine Kac-Moody algebra at the critical level with the geometry of opers. Most of these results are collected in Frenkel's book "Langlands correspondence for loop groups". Assuming that... |
The Annals of Statistics Ann. Statist. Volume 25, Number 3 (1997), 948-969. On nonparametric estimation of density level sets Abstract
Let $X_1, \dots, X_n$ be independent identically distributed observations from an unknown probability density $f(\cdot)$. Consider the problem of estimating the level set $G = G_f(\lamb... |
EDIT: here's a better approach; in particular, the formula given in my original answer for $d(n!)$ is completely incorrect as pointed out by Gerhard Paseman.
Divide the primes in $[1,n]$ into the "small primes" $p \le \sqrt{n}$ and the "large primes" $p \ge \sqrt{n}$. Denote by $\pi[a,b]$ the number of primes in the in... |
The fill rate is the fraction of customer demand that is met through immediate stock availability, without backorders or lost sales. The fill rate differs from the service level indicator. The fill rate has a considerable appeal to practitioners because it represents the fraction of the demand that is likely to be reco... |
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... |
Existence and Uniqueness of Cycle Decomposition Contents Theorem
Let $S_n$ denote the symmetric group on $n$ letters.
Proof Construction of Disjoint Permutations
Let $\sigma \in S_n$ be a permutation on $S_n$.
Let $\N_n$ be used to denote the (one-based) initial segment of natural numbers:
$\N_n = \closedint 1 n = \set... |
I've been working my way through an old post, but I don't think the solution offered can be correct.
The question is;
Find the generating function (within a choice of sign) for: $$c_{n+1} = 2\sum_{k=0}^{n}c_k c_{n-k},\;\;\;n=1,2,3,4,\dots\\c_0=1, \;c_1=3$$
I think this recurrence relation generates the numbers $$1, 3, ... |
The traction is defined as
$$\mathbf{t} = \mathbf{n} \cdot \boldsymbol{\sigma}$$
In terms of components, the zero-traction condition is
$$ t_j = \sum_i n_i \sigma_{ij} = 0$$
From the above you can see that the stress components don't necessarily have to be zero for the traction to be zero.
For a
linear elastic material... |
We study pattern formation in the new framework of
multiplex networks, where activator and inhibitor species occupy separate nodes in different layers. Species react across layers but diffuse only within their own layer of distinct network topology. This multiplicity generates heterogeneous patterns with significant di... |
I am seeking of any already written R package which could help in an optimization technique which is called Difference of convex functions. This technique is sketched here and could be very useful for reinforcement learning processes.
Does anyone know something, that could be helpful? I have found package called
cccp, ... |
I’ve been doing a lot of reading on confidence interval theory. Some of the reading is more interesting than others. There is one passage from Neyman’s (1952) book “Lectures and Conferences on Mathematical Statistics and Probability” (available here) that stands above the rest in terms of clarity, style, and humor. I h... |
Revista Matemática Iberoamericana
Full-Text PDF (368 KB) | Metadata | Table of Contents | RMI summary
Volume 19, Issue 3, 2003, pp. 873–917 DOI: 10.4171/RMI/373
Published online: 2003-12-31
The Pressure Equation in the Fast Diffusion RangeEmmanuel Chasseigne
[1]and Juan Luis Vázquez [2](1) Université François Rabelais,... |
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Now showing items 1-10 of 155
J/Ψ production and nuclear effects in p-Pb collisions at √sNN=5.02 TeV
(Springer, 2014-02)
Inclusive J/ψ production has been studied with the ALICE detector in p-Pb collisions at the nucleon–nucleon center of mass energy √sNN = 5.02TeV at the CERN LHC. The measurement is performed i... |
Revista Matemática Iberoamericana
Full-Text PDF (244 KB) | Metadata | Table of Contents | RMI summary
Volume 19, Issue 3, 2003, pp. 919–942 DOI: 10.4171/RMI/374
Published online: 2003-12-31
Calderón-Zygmund theory for non-integral operators and the $H^{\infty}$ functional calculusSönke Blunck
[1]and Peer Christian Kuns... |
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In the last few lectures, we have seen how to describe complex systems made out of many parts. Each part has abstract wires coming in from the left standing for 'requirements' - things you might want it to do - and from the right st... |
For some reason, I had the dubious idea to watch Snakes On A Plane yesterday. If you haven’t seen the movie, the summary says it all:
An FBI agent takes on a plane full of deadly and poisonous snakes, deliberately released to kill a witness being flown from Honolulu to Los Angeles to testify against a mob boss.
As I st... |
In the first week of teaching my Calculus 1 discussion section this term, I decided to give the students a Precalc Review Worksheet. Its purpose was to refresh their memories of the basics of arithmetic, algebra, and trigonometry, and see what they had remembered from high school.
Surprisingly, it was the arithmetic pa... |
For example:
$\color{red}{\text{Show that}}$$$\color{red}{\frac{4\cos(2x)}{1+\cos(2x)}=4-2\sec^2(x)}$$
In high school my maths teacher told me
To prove equality of an equation; you start on
oneside and manipulate it algebraically until it is equal to the other side.
So starting from the LHS: $$\frac{4\cos(2x)}{1+\cos(2... |
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Now showing items 1-9 of 9
Production of $K*(892)^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$ =7 TeV
(Springer, 2012-10)
The production of K*(892)$^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$=7 TeV was measured by the ALICE experiment at the LHC. The yields and the transverse momentum spectra $d^2 ... |
Wheel diameter depends on the ground clearance of the robot mower chassis. Wheels with a diameter of 30 cm are chosen: this guarantees the minimum distance to the ground required in the general specifications and leaves some room for the layout of electric propulsion motors. In addition, wheels with a diameter of 30 cm... |
I'm trying to find the best approximation to the function $e^x$ in the finite dimensional polynomial space $P_4$ with respect to the standard basis vectors $B=\{1,x,x^2,x^3,x^4\}$ with inner product $$(f,g)=\int_0^1 \frac{f(x)g(x)}{\left(x(1-x)\right)^{\frac{1}{2}}}dx$$
Let $w=\sum_{j=0}^4a_j\phi_j $ where $\phi_j=x^j$... |
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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 ... |
Defining parameters
Level: \( N \) = \( 3600 = 2^{4} \cdot 3^{2} \cdot 5^{2} \) Weight: \( k \) = \( 1 \) Character orbit: \([\chi]\) = 3600.bt (of order \(6\) and degree \(2\)) Character conductor: \(\operatorname{cond}(\chi)\) = \( 9 \) Character field: \(\Q(\zeta_{6})\) Newforms: \( 0 \) Sturm bound: \(720\) Trace b... |
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Last time we saw how to tensor enriched profunctors. Now let's see caps and cups for enriched profunctors! We are building up to a kind of climax of this course: the theory of 'compact closed categories'. This is the right language ... |
I’ve been doing a lot of reading on confidence interval theory. Some of the reading is more interesting than others. There is one passage from Neyman’s (1952) book “Lectures and Conferences on Mathematical Statistics and Probability” (available here) that stands above the rest in terms of clarity, style, and humor. I h... |
This question is broken into two sections really:
Symmetry in RSA
I have been analyzing raw RSA and I have noticed some interesting symmetrical properties of the algorithm.
Assume that $M$ is a positive integer between $2$ and $N\over2$, ($N$ is the RSA modulus). Then:
$$ M_s = N - M \\ C = M^e \pmod N \\ C_s = M_s^e \... |
CGAL 4.14.1 - 2D Conforming Triangulations and Meshes
#include <CGAL/Delaunay_mesh_size_criteria_2.h>
The shape criterion on triangles is given by a bound \( B\) such that for good triangles \( \frac{r}{l} \le B\) where \( l\) is the shortest edge length and \( r\) is the circumradius of the triangle. By default, \( B=... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've seen that classical logic is closely connected to the logic of subsets. For any set \( X \) we get a poset \( P(X) \), the
power set of \(X\), whose elements are subsets of \(X\), with the partial order being \( \subseteq \). ... |
A few weeks ago I attended the AWM (Association of Women in Mathematics) Research Symposium in Houston, TX. I gave a talk in my special session, speaking on queer supercrystals for the first time, to a room full of female mathematicians.
I was a bit disappointed when, at the end of my talk, no one raised their hand to ... |
In the first week of teaching my Calculus 1 discussion section this term, I decided to give the students a Precalc Review Worksheet. Its purpose was to refresh their memories of the basics of arithmetic, algebra, and trigonometry, and see what they had remembered from high school.
Surprisingly, it was the arithmetic pa... |
No, message commitment by disclosing its HMAC-MD5 with a key later revealed is no longer any secure, because of the ease with which MD5 collisions can now be found. There's however no compelling evidence that's insecure for messages constrained to belong in a small arbitrary set that no adversary can choose or influenc... |
Gravity itself
@aeronalias is absolutely right. Given the gravitational acceleration of $g=9.81m/s^2$ on the ground, a perfect spherical earth of radius $R_E=6370km$ with homogenous (at least: radially symmetric) density, one can calculate the gravitational acceleration at an altitude of $h=12km$ by
$$g(h)=g\cdot\frac{... |
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... |
Category:Primitives
Jump to navigation Jump to search
Let: $\forall x \in \left({a \,.\,.\, b}\right): F' \left({x}\right) = f \left({x}\right)$ Then $F$ is a primitive of $f$, and is denoted: $\displaystyle F = \int f \left({x}\right) \, \mathrm d x$ Subcategories
This category has the following 54 subcategories, out ... |
By Joannes Vermorel, June 2016
Probabilistic forecasts assign a probability to every possible future. Yet, all probabilistic forecasts are not equally accurate, and metrics are needed to assess the respective accuracy of distinct probabilistic forecasts. Simple accuracy metrics such as MAE (Mean Absolute Error) or MAPE... |
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Last time I introduced natural transformations, and I think it's important to solve a bunch more puzzles to get a feel for what they're like. First I'll remind you of the basic definitions. I'll go through 'em quickly and informally... |
Consider a manifold and a complex where cochains are sections of vector bundles and coboundary maps are differential operators, which are locally exact except in lowest degree (think de Rham complex). I'd like to know the relationship between the cohomology of this complex and the cohomology of the
formal adjoint compl... |
Line 5: Line 5:
[[New_from_June | New from June 2015]]
[[New_from_June | New from June 2015]]
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ... |
The property follows from the property of the corresponding (weak form of the) partial differential equation; this is one of the advantages of finite element methods compared to, e.g., finite difference methods.
To see that, first recall that the finite element method starts from the weak form of the Poisson equation (... |
Second SSC CGL level Solution Set, topic Trigonometry
This is the second solution set of 10 practice problem exercise for SSC CGL exam on topic Trigonometry. Students must complete the corresponding question set in prescribed time first and then only refer to the solution set.
It is emphasized here that answering in MC... |
Let $\nu(x)$ be a symmetric probability measure with respect to the origin on $x\in[-1,1]$ such that $\nu(\{0\})\neq 1$.
Consider a random walk started at $S_0=0$, denoted $S_n=X_1+\dotsb+X_n$, where $X_1,X_2, \dotsc$ are i.i.d. random variables such that $X_i\sim \nu(x)$.
Fix $1\leq L<\infty$, and put $\tau=\inf\{n\ge... |
Basic Statistics Basic statistics for a discrete variable X:
Mean(μ) = Expect Value E[X]
=\(\frac{1}{n} \sum_{i=1}^{n} x_{i} \)
Median
If n is odd then \(x_{\frac{n+1}{2}}\) else \(\frac{x_{\frac{n}{2}} + x_{\frac{n+2}{2}}}{2}\)
Variance (\(\sigma^{2}=E_{x \sim p(x)}[(X-E[X])^2]\))
(n-1 is called degree of freedom)
=\(... |
@JosephWright Well, we still need table notes etc. But just being able to selectably switch off parts of the parsing one does not need... For example, if a user specifies format 2.4, does the parser even need to look for e syntax, or ()'s?
@daleif What I am doing to speed things up is to store the data in a dedicated f... |
Mathematics
Here, I will briefly review the terms and then derive the equation system for homography. If you follow this, you will see why you need to detect at least 4 points which aren’t on the line.
Terms Correspondence. Imagine have 2 photos of the same object from a slightly different position. Then the point \(p_... |
Unrecognised TeX code (2)
Why is the following latex code correctly recognised by the view()-function (for outputting results) but not by the text()-function (for inclusion in a plot)?
Dy='$\\begin{align}\\Delta y&=y_2-y_1 \\\\ &=m\\cdot\\Delta x \\end{align}$'
view(Dy) gives a correctly formatted latex formula but tex... |
Natural number The numbers which are generally used in our day to day life for counting are termed as natural numbers. They are also referred to as "counting" numbers , N = 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 {\displaystyle \mathbb {N} =0,1,2,3,4,5,6,7,8,9} Even number Number divides by 2 without remainder . Even num... |
Passing between measures
In this article we show how to pass between dense sets under the uniform measure on [math][3]^n[/math] and dense sents under the equal-slices measure on [math][3]^n[/math], at the expense of localising to a combinatorial subspace.
Let's first show how to pass between two product distributions. ... |
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∑n=0∞120152n−2015−(2n)\displaystyle\sum_{n=0}^{\infty} \dfrac{1}{2015^{2^{n}} - 2015^{-(2^{n})}} n=0∑∞20152n−2015−(2n)1
If the closed form of the series above is in the form ab \frac a b ba, where aaa and bbb are positive coprime integers, then find b−a.b - a.b−a... |
Motivation:
Earlier today I was talking to a researcher about how well a normal distribution could approximate a uniform distribution over an interval . I gave a few arguments for why I thought a normal distribution wouldn’t be good but I didn’t have the exact answer at the top of my head so I decided to find out. Alth... |
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Last time I threw the definition of 'adjoint functor' at you. Now let me actually
explain adjoint functors!
As we learned long ago, the basic idea is that adjoints give
the best possible way to approximately recover data that can't ... |
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Now showing items 1-10 of 18
J/Ψ production and nuclear effects in p-Pb collisions at √sNN=5.02 TeV
(Springer, 2014-02)
Inclusive J/ψ production has been studied with the ALICE detector in p-Pb collisions at the nucleon–nucleon center of mass energy √sNN = 5.02TeV at the CERN LHC. The measurement is performed in... |
Defining parameters
Level: \( N \) = \( 3600 = 2^{4} \cdot 3^{2} \cdot 5^{2} \) Weight: \( k \) = \( 1 \) Character orbit: \([\chi]\) = 3600.dm (of order \(12\) and degree \(4\)) Character conductor: \(\operatorname{cond}(\chi)\) = \( 360 \) Character field: \(\Q(\zeta_{12})\) Newforms: \( 0 \) Sturm bound: \(720\) Tra... |
Is there a way to convert a
FIR to an
IIR filter with the most similar behavior?
I would say that the answer to your question - if taken literally - is 'no', there is no general way to simply convert an FIR filter to an IIR filter.
I agree with RBJ that one way to approach the problem is to look at the FIR filter's imp... |
I was reading the following equivalence (which is my summarized version of writing theorem 4.2 in Rudin in 1 line, look at Appendix in my Q to see exactly what this means):
$$ \lim_{x\to p} f(x) = q \iff \lim_{p_n \to p, p_n \neq p } f(p_n) = q$$
what I am interested is in showing the RHS implies the LHS rigorously. I ... |
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... |
Search
Now showing items 1-1 of 1
Anisotropic flow of inclusive and identified particles in Pb–Pb collisions at $\sqrt{{s}_{NN}}=$ 5.02 TeV with ALICE
(Elsevier, 2017-11)
Anisotropic flow measurements constrain the shear $(\eta/s)$ and bulk ($\zeta/s$) viscosity of the quark-gluon plasma created in heavy-ion collisions... |
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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 ... |
Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms
1.
School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China
2.
Department of Mathematics and Computer Science, John Jay College of Criminal Justice, CUNY, New York, NY ... |
How To Sort By Average Rating
Sunday August 17, 2014
Evan Miller's well-known How Not To Sort By Average Rating points out problems with ranking by "wrong solution #1" (by differences, upvotes minus downvotes) and "wrong solution #2" (by average ratings, upvotes divided by total votes). Miller's "correct solution" is t... |
Large time behavior of ODE type solutions to nonlinear diffusion equations
1.
Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan
2.
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
$ \begin{equation} \left\{ \begin{array}{ll} \partial... |
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Production of Σ(1385)± and Ξ(1530)0 in proton–proton collisions at √s = 7 TeV
(Springer, 2015-01-10)
The production of the strange and double-strange baryon resonances ((1385)±, Ξ(1530)0) has been measured at mid-rapidity (|y|< 0.5) in proton–proton collisions at √s = 7 TeV with the ... |
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Now showing items 1-10 of 53
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... |
Let $(X_{n, \theta})_{n \in \mathbb{N}, \theta \in \Theta}$ be a sequence of parameter dependent real-valued random variables where $\Theta$ is some parameter space.
Assume that $X_{n, \theta}$ converges uniformly to $X_\theta$, i.e. for any continuous and bounded $f: \mathbb{R} \to \mathbb{R}$ $$ \sup_{\theta} \left|E... |
Mini Series: Designing a Satellite for Dummies
Are you an aspiring aerospace engineer, a space enthusiast, a parent checking your child’s homework or simply interested in the specifics of how to design certain satellite parts? Then this is the place to be.
In this mini series we will go through the basics of designing ... |
@JosephWright Well, we still need table notes etc. But just being able to selectably switch off parts of the parsing one does not need... For example, if a user specifies format 2.4, does the parser even need to look for e syntax, or ()'s?
@daleif What I am doing to speed things up is to store the data in a dedicated f... |
Liouville's rigidity theorem (1850) states that a map $f:\Omega\subset R^d \to R^d$ that satisfies $Df \in SO(d)$ is an affine map. Reshetnyak (1967) generalized this result and showed that if a sequence $f_n$ satisfies $Df_n \to SO(d)$ in $L^p$, then $f_n$ converges to an affine map. In this talk I will discuss genera... |
Definition:Angle/Unit/Degree
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The
The $\LaTeX$ code for \(\degrees\) is
Definition
The
degree (of arc) is a measurement of plane angles, symbolized by $\degrees$.
\(\displaystyle \) \(\) \(\displaystyle 1\) degree \(\displaystyle \) \(=\) \(\displaystyle 60\) minutes \(\displaystyle \) ... |
When the measures of the angles of a triangle are placed in order, the difference between the middle angle and smallest angle is equal to the difference between the middle angle and largest angle. If one of the angles of the triangle has measure 23, then what is the measure in degrees of the largest angle of the triang... |
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This week, we covered Linear Regression, Logistic Regression, cross-validation, and gradient descent. If you've taken Andrew Ng's Machine Learning course (video lectures here), then a lot of these concepts will be review.
I found myself reading about more regularization techniques (we covered L1 & L2 this week). Regula... |
Journal of Operator Theory
Volume 82, Issue 2, Fall 2019 pp. 369-382.
Commutators close to the identity
Authors: Terence Tao Author institution:UCLA Department of Math., Los Angeles, CA 90095-1555,U.S.A. Summary: Let $D,X \in B(H)$ be bounded operators on an infinite dimensional Hilbert space $H$. If the commutator $[D... |
It didn't seem to be a particularly difficult problem with conventional solution visible not far away
For some problems that don't look particularly difficult, the conventional steps to the solution may not seem to take long, but invariably it will be a mundane and wasteful few extra steps. The elegant lighted up way w... |
Answer
$9 \div 1 \times 2 \times 2 \div (11-2) = 4$
Work Step by Step
Follow BEDMAS. In this case, we have Brackets, Division and Multiplication. 1. Complete the Brackets $(11 - 2) = 9$ New equation $ = 9 \div 1 \times 2 \times 2 \div 9$ 2. Divide the numbers a) $9 \div 1 = 9$ b) $2 \div 9 = \frac{2}{9}$ New equation $... |
4 0
I found this question on a website.
Prove that [itex]\displaystyle \int_{0}^{\pi}\frac{1-\cos(nx)}{1-\cos(x)} dx=n\pi \ \ , n \in \mathbb{N}[/itex]
Here's my attempt using induction:
Let [itex]P(n) [/itex] be the statement given by
[tex] \int_{0}^{\pi}\frac{1-\cos(nx)}{1-\cos(x)} dx=n\pi \ \ , n \in \mathbb{N}[/tex... |
Completely revised: If $a\in A$, I’ll write $R(a)$ for $\{b\in B:\langle a,b\rangle\in R\}$, and if $A_0\subseteq A$, I’ll write $R[A_0]$ for $$\left\{b\in B:\exists a\in A\Big(\langle a,b\rangle\in R\Big)\right\}=\bigcup_{a\in A_0}R(a)\;.$$
Your conditions are that $R(a)$ is finite for each $a\in A$ and that $|R[A_0]|... |
Somehow, in all the time I’ve posted here, I’ve not yet described the structure of my favorite graded $S_n$-modules. I mentioned them briefly at the end of the Springer Correspondence series, and talked in depth about a particular one of them – the ring of coinvariants – in this post, but it’s about time for…
The Garsi... |
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