content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Describing the ratio of uniformizers in B_dR
up vote 7 down vote favorite
1
In Conrad and Brinon's notes http://math.stanford.edu/~conrad/papers/notes.pdf, two uniformizers of $B_{dR}$ are produced: one is $\xi := [\tilde{p}]-p$ (bottom of p.58), where $\tilde{p} = (p, p^{1/
p}, p^{1/p^2}, \ldots)$ is some choice of c... | 5 | [
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Components of a loop space, semidirect products, and multiplicativity
up vote 6 down vote favorite
Let $(X, x_0)$ be a based topological space, and $\Omega X$ its based loop space. The group of path components of $\Omega X$ is $\pi_0(\Omega X) = \pi_1(X, x_0)$. For brevity, let's call this group
$G$. Since $\Omega X$ ... | 4 | [
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0.0291748... | 43,301 | 43301 | |
Non-autonomous system of ODE's
November 3rd 2012, 01:07 PM #1
Junior Member
Joined
Dec 2011
Posts
27
Thanks
1
Non-autonomous system of ODE's
$\frac{dx}{dt} = ay - bx + f(t)$
$\frac{dy}{dt} = cx - dy + g(t)$
$a,b,c,d \in \mathbb{R}$ and $f(t),g(t)$ are continuous functions of $t$
Is any... | 4 | [
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What's wrong with this proof (complete induction)
April 4th 2009, 06:08 PM #1
Newbie
Joined
Apr 2009
Posts
3
What's wrong with this proof (complete induction)
I've been having a bit of a a think about this question but still haven't come up with a particuarly good answer yet.
So what's wrong with th... | 4 | [
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HowStuffWorks "How many helium-filled balloons would it take to lift someone?"
Here's how you could figure it out...
If you have read the article How Helium Balloons Work, then you know that helium has a lifting force of 1 gram per liter. So if you have a balloon that contains 5 liters of helium, the balloon can
lift ... | 4 | [
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Are there consecutive integers of the form $a^2b^3$ where $a$, $b$ > 1?
up vote 5 down vote favorite
1
Let $S$ = { $a^2b^3$ : $a, b \in \mathbb{Z}_{>1}$ }.
Does there exist $n$ such that $n$, $n+1 \in S$?
Motivation: I was thinking about Question on consecutive integers with similar prime factorizations, wondering w... | 5 | [
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Chocolate Chips per Cookie and Poisson Probabilities
Date: 06/12/2004 at 20:40:39
From: Lina
Subject: Probability of Chocolate Chips per Cookie
A bakery makes a batch of 200 cookies in which 2000 chocolate chips
were used. What is the probability that a cookie picked at random
from the batch will contain at least 13... | 4 | [
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Can someone help me understand these problems please? Should be fairly simple...
September 23rd 2010, 10:35 AM
matthayzon89
Can someone help me understand these problems please? Should be fairly simple...
Hello All,
I am currently preparing for an upcoming test. I know most of the material but the problems b... | 5 | [
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Algebraic Graphs
Obviously, to plot co-ordinates on a graph you need x-values and y-values so, unlike when you are solving equations, we will be using y = .... to give us our co-ordinates. This means that they are
called functions rather than equations.
1. Always make a table of values before plotting a graph.
2. Alw... | 4 | [
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Angle of elevation problem
July 12th 2012, 03:52 AM
fActor
Angle of elevation problem
The angle of elevation at the top of a building at point A (on level ground) is 62 degrees. At a point 120m away from A, the angle of elevation is found to be 35 degrees. Find the height of the
building.
July 12th 2012, 04... | 4 | [
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Analysis of Julian Day Number to Gregorian
3.4.1.1 Analysis of Julian Day Number to Gregorian date algorithms
This section analyzes the core of various conversion algorithms that convert from the Julian Day Number to a Gregorian Date. Since all of the algorithms that deal with fractional Julian Day Numbers
initially... | 4 | [
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Cleve’s Corner: Cleve Moler on Mathematics and Computing
We all know that Friday the 13th is unlucky, but is it unlikely?
Contents
Year 2012
I plan to post this article during the second week of July, 2012. The Friday in this week is a Friday the 13th, the third we've had so far this year. There were also ones in Ja... | 5 | [
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Ring, field, Galois-Field, Vector Space
November 9th 2008, 03:44 AM #1
Junior Member
Joined
Sep 2008
From
Freiburg i. Brgs. Germany
Posts
45
Ring, field, Galois-Field, Vector Space
Hello,
We have a not empty set X and call P(X) the power set of X. For the subsets A,B in X we define the symetric ... | 5 | [
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Problem involving rational number
October 14th 2010, 09:18 PM #1
Junior Member
Joined
Oct 2010
Posts
43
Problem involving rational number[Solved]
I can't seem to figure out a problem in one of my assignments. The question is:
Suppose a, b, c, and d are integers and a does not equal c. Suppose also t... | 4 | [
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failure of $\square(\kappa)$ at an inaccessible $\kappa$
up vote 7 down vote favorite
6
How can we force the failure of $\square(\kappa)$ at an inaccessible $\kappa$, where $\square(\kappa)$ is defined as follows: There is a sequence $(C_i:i< \kappa)$ such that:
(1) $C_{i+1} = \{i\}$ and $C_i$ is closed and cofinal i... | 4 | [
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org key - nuclear ib2 08
Nuclear Physics IB 12
Nuclide: a particular type of nucleus
Nucleon: a proton or a neutron
Atomic number (Z) (proton number): number of protons in nucleus
... | 5 | [
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Rectilinear Motion problem
February 12th 2009, 08:10 AM #1
Newbie
Joined
Feb 2009
Posts
5
Rectilinear Motion problem
for this position function discuss the motion along a horizontal line.
Discuss the instantaneous velocity, acceleration, intervals when the particle in motion is moving to the right a... | 4 | [
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Unanswered 'ap.analysis-of-pdes' Questions - Page 2
Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
learn more… | top users | synonyms
Hello, this question might sound a little vagu... | 4 | [
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Ruby Quiz - Geodesic Dome Faces (#3)
Geodesic Dome Faces (#3)
by Gavin Kistner
SUMMARY
Given the faces for a tetrahedron, octahedron, or isocahedron, create a geodesic dome of arbitrary frequency.
The (equilateral triangle) faces of each primitive are given as triplets of vertex points. Each vertex is itself a trip... | 4 | [
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Patent US6370556 - Method and arrangement in a transposed digital FIR filter for multiplying a binary input signal with tap coefficients and a method for designing a transposed digital filter
The invention relates to a method and an arrangement in a transposed digital FIR filter for multiplying a binary input signal by... | 4 | [
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Ricci Flow on Surfaces of High Genus
I’ve been a bit busy lately, and so I missed last week posting. So what I’ve decided to do is to take the talks I’ve given in various graduate student seminars over the last year or so and convert
them into posts. This one is a particularly tough prospect, as the talk didn’t go very... | 4 | [
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Generalizing a problem to make it easier
up vote 86 down vote favorite
62
One of the many articles on the Tricki that was planned but has never been written was about making it easier to solve a problem by generalizing it (which initially seems paradoxical because if you
generalize something then you are trying to pro... | 4 | [
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Symmetric and Exterior products of sl(n,C)-module
up vote 1 down vote favorite
2
Let M be the $sl(n,C)$-representation of the inclusion $sl(n,C)\hookrightarrow gl(n,C)$. Let q be a symbol. $f(q)=1-M q + \wedge^2Mq^2-...+(-1)^n\wedge^nMq^n$
$g(q)=\sum_{i=0}^\infty Sym^iM \; q^i$
I want to prove that $f(q)g(q)=1$ whic... | 4 | [
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Math Help
September 24th 2008, 01:38 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Max or Min
The height of an object, h(t), is determined by the formula
h(t) = –16t2 + 256t, where t is time, in seconds. Will the object reach a maximum or a minimum? Explain or show your reasoning.
... | 4 | [
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Stochastic analysis of neural network modeling and identification of nonlinear memoryless MIMO systems
Abstract
Neural network (NN) approaches have been widely applied for modeling and identification of nonlinear multiple-input multiple-output (MIMO) systems. This paper proposes a stochastic analysis of a
class of the... | 4 | [
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Defining a vector
1. November 6th 2010, 12:08 PM #1
2. November 6th 2010, 01:19 PM #2
In the first picture, you have
$|OB|=|BA|=b.$
Hence, $OAB$ is isosceles. Therefore, $\angle OAB=\angle AOB=\theta.$
Therefore, $\angle ABO=\pi-2\theta.$
Now we use the law of sines to ... | 4 | [
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The many principles of conservation of number
The many principles of conservation of number March 4, 2014
Posted by David Speyer in Uncategorized.
trackback
In algebraic geometry, we like to make statements like: “two conics meet at ${4}$ points”, “a degree four plane curve has ${28}$ bitangents”, “given four lines i... | 4 | [
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Simultaneous Equation
Initial matrix $\begin{array}{|rrrcr|rcrrrcrl}<br /> 3u & +v & -4w & = & -4 & & & & & & & & \\<br /> u & -2v & +7w & = & -7 & & & & & & & & \\<br /> 4u & +3v & -w & = & 9 & & & & & & & & \\<br /> \
end{array}$ -------------------- Subtract 3 line twos from line 1 $\begin{array}{|rrrcr|rcrrrcrl}<br... | 4 | [
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-0.041015625,
... | 43,327 | 43327 | |
ADI - Analog Dialogue | Logarithmic Analog Processing
Volume 37 December 2003
Closed-Loop Control of Variable Optical Attenuators with Logarithmic Analog Processing
By Eric J. Newman (eric.newman@analog.com)
Matthew Pilotte (matthew.pilotte@analog.com)
Achieving tight channel spacing in dense wavelength-division... | 4 | [
0.0196533203125,
-0.0869140625,
-0.0927734375,
0.03662109375,
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0.0216064453125,
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0.040771484375,
0.0561523437... | 43,328 | 43328 | |
tion
Green's function
Green’s function
Some general preliminary considerations
Let $(\Omega,\mu)$ be a bounded measure space and $\mathcal{F}(\Omega)$ be a linear function space of bounded functions defined on $\Omega$, i.e. $\mathcal{F}(\Omega)\subset\mathcal{L}^{\infty}(\
Omega)$. We would like to note two types o... | 4 | [
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-0.0220947265625,
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0.01055908203125,
-0.033935546875,
0.052978515625,
0.06982421875,
-0.07373046875,
... | 43,329 | 43329 | |
B
Review of Basic Concepts - A short refresher course of concepts covered in Algebra, Trig and Geometry
Cartesian Plane - A brief discussion about the Cartesian plan and how it works
Definition of Circle in Plane - Gives the standard equation of a circle
Distance Formula - Ju... | 4 | [
-0.033935546875,
-0.0272216796875,
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-0.0615234375,
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0.0234375,
0.06787109375,
0.00848388671875,
-0.019287109375,
0.0071105957031... | 43,330 | 43330 | |
[SOLVED] optimization problem (cost function)
May 3rd 2009, 04:27 PM
coolguy00777
[SOLVED] optimization problem (cost function)
I can find the cost function, but I don't know how to find minimum cost. Which should = $329.34
A rectangular storage container with an open top is to have a volume of 20 m^3. The ... | 5 | [
0.033935546875,
0.06689453125,
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0.034423828125,
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0.060546875,
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0.0... | 43,331 | 43331 | |
Lienard-Wiechert potential
• From: D.McAnally@i'm_a_gnu.uq.net.au (David McAnally)
• Date: Wed, 14 Dec 2005 14:43:04 +0000 (UTC)
There was some confusion a while back about the part that the Lienard-
Wiechert potential of an accelerating charge plays, so I thought that I
would clarify.
Firstly, it should be po... | 4 | [
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0.072265625,
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0.076171875,
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-0.0262451171875,... | 43,332 | 43332 | |
Recovering n from sigma(n)/n
up vote 6 down vote favorite
4
For any positive integer $n$, we define $$\sigma(n) := \sum_{d \mid n} d,$$ and $$\delta(n) := \frac{\sigma(n)}{n} = \sum_{d \mid n} \frac{1}{d}.$$ Is there an (efficient) way to determine $\delta^
{-1}$? In particular,
If $q \in \mathbb{Q}$ is given, ca... | 4 | [
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0.02734375,
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-0.05859375,
0.08642578125,
... | 43,333 | 43333 | |
Provability in Second-Order Arithmetic without the Successor Axiom
up vote 4 down vote favorite
2
Consider second-order Peano Arithmetic Z2, i.e. the two-sorted first-order theory with induction and comprehension. Remove the assumption about the totality of the successor relationship (the
Successor Axiom), i.e. the as... | 4 | [
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0.02294921875,
0.005035400390625,
-0.06005859375,
0.017333984375,
0.01513671875,... | 43,334 | 43334 | |
Maps on the identity components of Neron models
up vote 3 down vote favorite
Any map $A \to B$ of abelian varieties of the same dimension over a global field $K$ induces a map $\mathcal{A} \to \mathcal{B}$ on the corresponding Neron models over $X$ (where $X=Spec{\mathcal{O}
_K}$ for any number field $K$ or $X$ is a c... | 5 | [
-0.0164794921875,
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-0.0108642578125,
0.0654296875,
0.1025390625,
-0.09912109375,
0.0678710... | 43,335 | 43335 | |
Data Collection
Chapter 1: Data Collection
1.1 Introduction to the Practice of Statistics
1.2 Observational Studies, Experiments, and Simple Random Sampling
1.3 Other Effective Sampling Methods
1.4 Sources of Errors in Sampling
1.5 The Design of Experiments
... | 4 | [
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0.049560546875,
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0.027587890625,
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0.048828125,
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-0.0810546875,
-0.011962890625,
0.006072998046875,
0.053466796875,
-0.... | 43,336 | 43336 | |
Making the grade: Part II
Issue 28
January 2004
In Making the grade: Part I in Issue 27 of Plus we considered what the gradient of a curve might mean, and how to find it by appealing directly to the definition. In particular, we used direct
arguments - which were really quite involved - to calculate the gradients of... | 5 | [
-0.10791015625,
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... | 43,337 | 43337 | |
localization of a ring
This entry is about the general notion of localization of a possible noncommutative ring. For the more restrictive but more traditional notion of localization of a commutative ring see there.
Context
Higher algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category p... | 4 | [
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0.1... | 43,338 | 43338 | |
Triangle inequality
Date: Mon, 14 Nov 94 15:27:52 -0400
From: Anonymous
Organization: Yorktown High School
Subject: Math question
I am a high school student who recently (about a week and a half ago)
asked the question if it is possible to prove that the absolute value of
(a-b) is greater than or equal to the absolu... | 4 | [
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-... | 43,339 | 43339 | |
A generalization of Boolean matrix multiplication for order-3 tensors
up vote 8 down vote favorite
2
The Boolean matrix product of two 0-1 $n \times n$ matrices $A$ and $B$ is the matrix $C$ defined as $$C[i,j] = \vee_{k=1}^n (A[i,k] \wedge B[k,j]).$$ If $A = B$ and the matrix is an adjacency matrix
of a graph $G$, th... | 4 | [
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0.058349609375,
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-0.0004367828369140625,
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0.00823974609375,
0.115234375,
0.0358886718... | 43,340 | 43340 | |
Induction help
Use the mathematical induction to show the following. For all integer n=>2
Google is your friend. This exercise occurs so frequently that you can find it practically anywhere.
$\sum_{k=1}^nk^2=\frac{n(n+1)(2n+1)}{6}$ If this is so, then $\sum_{k=1}^{n+1}k^2\ should\ =\frac{(n+1)([n+1]+1)(2[n+1]+1)}{6}$... | 4 | [
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-0.042236328125,
0.00946044921875,
0.06... | 43,341 | 43341 | |
Complex fourth root of -1?
November 11th 2010, 12:15 PM #1
Junior Member
Joined
Sep 2010
Posts
64
Complex fourth root of -1?
hi, I have a problem which asks me for the 4th complex root of -1...but I have never done this (it was in a course which I have not taken).
Any help would be very much appreci... | 5 | [
0.006927490234375,
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0.053955078125,
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0.1201171875,
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0.019287109375,
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0.047119140625,
-0.04296875,
-0.0164794921... | 43,342 | 43342 | |
Finding Functional form for a given Scaling Condition
up vote 3 down vote favorite
1
Dear all
While studying the overlap distribution for two random Cantor sets (long story made short), I came across the following problem.
$G(k)$ is a complex valued function, and satisfy the following condition:
$G(k\mu) = G(k)^2+ ... | 5 | [
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-0.01531982421875,
-0.031494140625,
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0.0908203125,
-0... | 43,343 | 43343 | |
Expo-limit
Calculate this limit: $\mathop {\lim }\limits_{x \to 0} \left( {x^x } \right)$
Let y = x^x. Then ln(y) = x*ln(x) = ln(x)/(1/x). You can apply l'Hospital's Rule to this, and get the limit, as x tends to zero from the right, of ln(y). Then raise this value as a power on e, to get
the limit of y.
| 5 | [
0.07861328125,
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0.030517578125,
0.06396484375,
-0.08447265625,... | 43,344 | 43344 | |
Vector Transforms
May 2nd 2009, 11:50 PM #1
Newbie
Joined
Aug 2008
Posts
10
Vector Transforms
Hi all,
I am working on an assignment and am a little stuck on a question. I will try give an example without using my assignment question (hope it works!).
Given a 2 x 2 transformation matrix:
M ... | 5 | [
-0.06494140625,
0.00021648406982421875,
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0.016845703125,
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0.0341796875,
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0.0291748046875,
-0.0281982421875,
0.0927734375,
-0.09423828125,
0.... | 43,345 | 43345 | |
Dertivative of a Special Function with respect to Order
up vote 2 down vote favorite
The marcum Q-function is defined by $$ Q_m(a,b) = \int^\infty_b x \left(\frac{x}{a}\right)^{m-1} \exp\left(-\frac{x^2+a^2}{2}\right) I_m\left(a x\right) \:\mathrm{d} x,$$
where $m\in\mathbb{N}$ , $b\in\mathbb{R}^+$ , $a\in\mathbb{R}^... | 5 | [
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0.0908203125,
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0.0230712890625,
0.107421875,
0.07177734375,
0.0255126953125,
-0.0... | 43,346 | 43346 | |
Failure of a basic fact from Representation Theory
up vote 6 down vote favorite
4
Recently I have been working with a certain subgroup of $GL_{10}(\mathbb{F}_2)$ and for various reasons was fairly sure it contained a normal subgroup isomorphic to $A_5$. Today I was able to
affirmatively show that this presumed copy of... | 4 | [
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0.0703125,
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0.0162353515625,
-0.07080078125,
0.0311279296875,
0.006591796875,
0.03735351562... | 43,347 | 43347 | |
Analyzing Weighted Set-Cover variant
up vote 1 down vote favorite
2
A standard greedy algorithm for solving the weighted set-cover problem can be proven to be a $\log(n)$ approximation. I have a variant of weighted set cover, and I came up with a greedy algorithm for
solving it. I'm trying to figure out what kind of a... | 4 | [
0.0062255859375,
0.0196533203125,
0.03857421875,
-0.0030517578125,
0.0830078125,
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0.023193359375,
-0.043701171875,
0.00885009765625,
-0.08349609375,
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0.09814453125,
0.009521484375,
-0.01202392578125,
0.00021648406982421875,
0.10888671875,
... | 43,348 | 43348 | |
Diophantine equation of first degree
up vote 0 down vote favorite
a1*x1 + a2*x2 + ... + an*xn = S, where:
1. a1 through an are positive bounded integers
2. x1 through xn are positive bounded integers
3. 'S' is the sum of the expression for n=2 say a1*x1 + a2*x2=S we know when S>a1*a2-a1-a2 the equation has soluti... | 5 | [
-0.080078125,
0.00775146484375,
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0.0537109375,
-0.00994873046875,
0.005401611328125,
0.004119873046875,
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0.052978515625,
0.043701171875,
-0.0252685546875,
-0.00168609619140625,
0.06689453125,
0.1088867... | 43,349 | 43349 | |
Pricing for Profit, Part 2
Breaking even or breaking the bank?
Last month, we looked at the concepts of markup and margin, and the connection between profit and the efficiency of job site operations; the formula for calculating the point at which your business
breaks even provides the starting point for computing the ... | 4 | [
0.01068115234375,
-0.003570556640625,
-0.0093994140625,
-0.0150146484375,
0.050048828125,
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-0.0247802734375,
0.10107421875,
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-0.042724609375,
-0.021240234375,
0.07373046875,
-0.00933837890625,
0.049560... | 43,350 | 43350 | |
Binomial Theorem - Proof
February 3rd 2011, 01:30 PM #1
Binomial Theorem - Proof
Show that, for n > 0,
$\sum_{i=0}^{n}(-1)^i\binom{n}{i} = 0$
I know i am supposed to use the binomial theorem which is just,
$(a+b)^n = \sum_{i=0}^{n}\binom{n}{i} a^i b^{n-i}$
I am really just not sure where to st... | 5 | [
-0.01519775390625,
0.0303955078125,
0.0306396484375,
0.05859375,
-0.07470703125,
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-0.01300048828125,
0.03564453125,
0.0498046875,
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-0.0693359375,
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0.00982666015625,
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0.1083984375,
0.06201171875,
-0.04... | 43,351 | 43351 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 294.33006
Autor: Erdös, Paul; Freud, G.
Title: On orthogonal polynomials with r... | 4 | [
-0.0947265625,
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-0.01611328125,
-0.0274658203125,
... | 43,352 | 43352 | |
[SOLVED] HELP !! defferentiation exponents
January 21st 2006, 01:04 PM #1
demi
Guest
[SOLVED] HELP !! defferentiation exponents
can someone please help me with this problem....
.e^(x/2)
----------
..x^(5)
can someone please give me an idea of how to do this problem... thank you!!
Last edited... | 5 | [
-0.0272216796875,
0.044921875,
0.08349609375,
0.021728515625,
0.031494140625,
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-0.0223388671875,
0.038330078125,
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-0.0478515625,
0.04296875,
0.0419921875,
0.05126953125,
-0.045166015625,
0.07177734375,
-... | 43,353 | 43353 | |
An application of Strong Approximation
up vote 3 down vote favorite
2
I am trying to read a paper in which the authors claim that a certain map between vector spaces is injective, and this follows from the strong approximation theorem. I do not understand how the
injectivity follows from strong approximation and so co... | 4 | [
-0.0286865234375,
0.057373046875,
0.0201416015625,
-0.0037384033203125,
0.05810546875,
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0.052978515625,
0.00811767578125,
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-0.056396484375,
-0.050048828125,
0.008544921875,
0.03759765625,
-0... | 43,354 | 43354 | |
Bryan's Geek Stuff
Problem 6
The sum of the squares of the first ten natural numbers is,
1^2 + 2^2 + ... + 10^2 = 385
The square of the sum of the first ten natural numbers is,
(1 + 2 + ... + 10)^2 = 55^2 = 3025
Hence the difference between the sum of the squares of the first ten natural numb... | 5 | [
-0.037353515625,
0.02294921875,
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0.00299072265625,
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-0.0294189453125,
0.033203125,
0.087... | 43,355 | 43355 | |
Public-key cryptosystems
CSC363 Lecture Notes 26 Spring 2005
Disclaimer: This lecture is a very brief introduction to cryptography, the
goal being to show some practical ramifications of the question of whether P
equals NP, and to ... | 4 | [
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Learning Goals
If you prefer, you can download these learning goals as a document: [DOC] [PDF]
Course-Scale Learning Goals
These learning goals were created by a working group of faculty -- both those in physics education research and those in other areas of research. This list represents what we want students to be... | 4 | [
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0.... | 43,357 | 43357 | |
How to fill a simplex with almost disjoint cuboids?
up vote 3 down vote favorite
There is an algorithm that give us cuboids in $\mathbb{R}^3$, say $Q_1,Q_2,\ldots$, such that $\cup_{i=1}^{\infty} Q_i$ is the simplex with vertices $(0,0,0), (1,0,0) , (0,1,0), (0,0,1)$, and the
$Q_i$'s are almost disjoint (i.e $\lambda(... | 5 | [
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... | 43,358 | 43358 | |
Scientific Instruments Using the TI MSP430
The MSP430 peripherals are very useful tools in their own right, but when we're able to use two or more peripherals together, they become much more powerful for instrumentation. This tutorial will go
through one way that we can combine the Comparator_A+ and Timer_A peripherals... | 4 | [
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Bijective function on a dense set
up vote 6 down vote favorite
1
Suppose X is a complete metric space, and $f:X↦X$ a continuous surjective function. Let D be a dense set. Suppose $f:D↦D$ is injective and $f^{-1}(D)=D$.
Is $f$ injective ?
Is there a family of metric spaces where you can conclude $f$ is injective?
ds... | 5 | [
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-0... | 43,360 | 43360 | |
Temperature
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ San José State University ┃
... | 4 | [
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0... | 43,361 | 43361 | |
Posts from July 2011 on Scientific Clearing House
A new paper on the evolution of overconfidence (arXiv:0909.4043v2) will appear shortly in Nature. (Hat tip to J.L. Delatre). It is well known in psychology that people generally overvalue themselves
and it has always been a puzzle as to why. This paper argues that unde... | 4 | [
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Relationship between "different" quantum deformations
up vote 10 down vote favorite
5
This is a generic question, a good answer to it may be a reference to a corresponding paper\textbook, but any useful comments would be okay too.
Let $\mathfrak{g}$ be a (simple) Lie algebra and $U_q(\mathfrak{g})$ be its q-deformati... | 4 | [
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0.035888... | 43,363 | 43363 | |
Simple stats problem : Unable to get final answer
October 26th 2008, 08:26 PM #1
Member
Joined
Oct 2008
From
Singapore
Posts
160
Simple stats problem : Unable to get final answer
I have a simple stats problem where the following table is given.
Speed (Km/h)--------Frequency-----------Cumulative ... | 4 | [
0.0147705078125,
0.055908203125,
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-0.017... | 43,364 | 43364 | |
Form (x + a)^2 +b
What does the term 'Discriminant' mean? The question is: Calculate the Discriminant of $3x^2 + 5x +8$
Last edited by Mist; October 26th 2009 at 01:40 AM.
The discriminant of a polynomial of the form $ax^2 + bx + c$, is $b^2 -4ac$. The discriminant is an important feature which, among other things, h... | 4 | [
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-0.0169677734375... | 43,365 | 43365 | |
Single Slit Diffraction and Resolution
Diffraction around an edge and
through an aperture
Huygens’ principle is consistent with
diffraction:
The larger the wavelength with respect to the
aperture size, the more significant the
diffraction
... | 5 | [
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ACSL - Prefix, Postfix, & Infix Notation
Prefix, Postfix, & Infix Notation
Prefix/Postfix Wksheet #1, Worksheet #2, Worksheet #3
We normally learn mathematics via infix notation. That is, math teachers write binary operators (such as '... | 4 | [
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Least square given constraint on subcomponents
up vote 2 down vote favorite
Hi all,
I have to find a set of parameters that fit to a set of data with constraint to a subset of the parameters. In summary, I want to solve $\min ||A[x_1 \, x_2]^T -b ||$ given $||x_2|| = g$.
I thought the problem is trivial but it turns... | 5 | [
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... | 43,368 | 43368 | |
Math Forum Discussions - Re: PREDICATE CALCULUS 2
Date: Nov 28, 2012 10:38 AM
Author: Dan Christensen
Subject: Re: PREDICATE CALCULUS 2
On Nov 28, 9:36 am, Frederick Williams <freddywilli...@btinternet.com>
wrote:
> Irrelephant newsgroups removed.
>
> Dan Christensen wrote:
> > 2. {x | ~x in x} cannot exist
> > 3. {x ... | 5 | [
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... | 43,369 | 43369 | |
implicit differentiation
so, i'm supposed to be using implicit differentiation here. i've got a picture of a dude pulling a boat up to a dock by a rope. it's a right triangle. he's holding the rope 4 feet above the dock
a boat is being pulled toward a dock. if the rope is being pulled in at 3 feet per second, ... | 4 | [
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... | 43,370 | 43370 | |
Division on the Abacus
Now we’re going to try something challenging on the abacus: *division*. Like multiplication, abacus division is close to the way you’d do it on paper. But just like doing paper division is trickier
than paper multiplication, abacus division is tricker than abacus multiplication. But the technique... | 4 | [
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... | 43,371 | 43371 | |
What is being asked?
November 22nd 2012, 02:42 PM #1
Newbie
Joined
Dec 2011
Posts
10
What is being asked?
I have a 4 part problem that I am unsure what is being asked. I have shown what i have worked out.
$Lety = f(x) = \sqrt{x}$
a) Find the differential of y
$dy=\frac{1}{2\sqrt{x}} dx... | 4 | [
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... | 43,372 | 43372 | |
Acoustic impedance
Acoustic impedance, intensity and power
Acoustic impedance is the ratio of acoustic pressure to flow. It allows us to calculate acoustic power, intensity and the reflection and transmission at boundaries. This is a background page to
the multimedia chapter Quantifying Sound. It uses some results fro... | 4 | [
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0.002... | 43,373 | 43373 | |
Suugaku♥Joshi Gakuen, Episode 2 --- 7 math challenge problems!
I originally planned to continue the last post by discussing the math battle problem in Episode 1, but I think it’s mostly sufficiently explained in the episode already, though there are some logical
holes: Sayuri’s first “proof” isn’t really a proof, and n... | 5 | [
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IJETTCS-2012-10-27-100
Web Site: www.ijettcs.org Email: editor@ijettcs.org, editorijettcs@gmail.com
Volume 1, Issue 3, September – October 2012 ISSN 2278-6856
EFFECT OF IRRADIATION ON THE
TRANSIENT RESPONSE OF A... | 4 | [
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0.0173339843... | 43,375 | 43375 | |
Why is the zeta function of a variety over a finite field not a polynomial? (question about motives)
up vote 7 down vote favorite
6
I've been doing some light(?) reading on motives and the standard conjectures in an attempt to put various things that I tangentially know in perspective.
The question is this: the Weil ... | 4 | [
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-0.036376953125,
-0.0795... | 43,376 | 43376 | |
AS Geometry query
April 4th 2012, 10:25 PM
FH88
AS Geometry query
I'm currently stuck on the following question:
The distance between the two points A(6, 2p) and B(p, -3) is 5√5.
Find the possible values of p.
Is this a simple trial and error solution?
April 4th 2012, 10:40 PM
princeps
Re: AS Ge... | 4 | [
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-0.0795898... | 43,377 | 43377 | |
Train in the Rain
Date: 11/21/96 at 21:41:42
From: EL-EL & JOSARGE &J.H.
Subject: Train window and raindrops
Dr. Math,
Help me with this problem:
During a rainstorm, the path of the raindrops appears to form an
angle of 30 degrees with the vertical and to be directed to the left
when observed from the side window ... | 4 | [
-0.057861328125,
0.0186767578125,
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0.055419921875,
-0.08984375,
0.03759765625,
-0.041748046875,
0.08349609375,
-0.... | 43,378 | 43378 | |
Volume of a Cone
Date: 02/08/2002 at 01:09:37
From: Henry
Subject: Another method of calculating volume of cone
Doctor Math:
Regarding the formula for calculating the volume a cone, I have
observed that a cone consists of a right angle triangle and a circle
base. I have came up with another method of calculating th... | 4 | [
0.0147705078125,
0.018310546875,
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0.0032196044921875,
-0.0306396484375,
-0.080566406... | 43,379 | 43379 | |
Fields
September 23rd 2009, 05:39 PM
shing
Fields
let F4 = (0,1,a,b) be a field containing 4 elements.
Assume 1+ 1 = 0
Prove that b = a^-1 = a^2 = a + 1
What i did:
if b = a^-1
then b.a = (a^-1).(a)
so ab = 1
How can i prove the whole in equality?
Where do i go from here?
A... | 5 | [
0.0306396484375,
0.10009765625,
0.01422119140625,
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-0.0303955078125,
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0.048583984375,
-0.06787109375,
-0.00... | 43,380 | 43380 | |
Dimensions of a Rectangle
Date: 8/26/96 at 0:14:47
From: Anonymous
Subject: Area of a Rectangle
A rectangle is three times as long as it is wide. If its length and
width are both increased by 3 m, its area is increased by 81 m
squared. Find its original dimensions.
I understand that the width would be labeled "w"... | 4 | [
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0.083984375,
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0.0791015625,
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0.07470703125,
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0.08349609375,
-0.061279296875,
0.10... | 43,381 | 43381 | |
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Topic: Fmincon: nonlinear binary problem
Replies: 10 Last... | 4 | [
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0.00921630859375,
-0.06396484375,
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0.05322265625,
-0.026123046875,
-0.09814453125,
0.05029296875,
-0.02685546875,
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-0.05517578125,
0.09228515625,
0.00848388671875,
-0.001754... | 43,382 | 43382 | |
Calc III Vector Problems
Determine an equation of the plane containing the following points: (2,0,2), (4,3,1), and (0,1,3). Do I set up a cross-product?
Last edited by riverjib; November 25th 2007 at 08:53 PM. Reason: Other problems are more urgent than this one.
Hello, riverjib! Determine an equation of the plane co... | 5 | [
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-0.0234375,
-0.040771484375,
-0.0751953125,
0.00052642822265625,
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0.0123291015625,
-0.0223388671875,
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-0.0029296875,
-0.027099609375,
0.044921875,
-0.09228515625,
0.0101928710937... | 43,383 | 43383 | |
Construction of Cone Surface
Date: 10/12/2002 at 11:00:19
From: Albert
Subject: Construction of cone surface
What is the relation between the angle of a cone at the vertex and the
flat angle (theta) of the developed surface on a plane?
Example: I want to build a cone with a 30-degree aperture angle at the
vertex, he... | 4 | [
-0.0174560546875,
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-0.03466796875,
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0.0322265625,
0.10107421875,
0.040771484375,
0.09521484375,
-0.0252685546875,
0.0185546875,
-0.03759765625,
0.09765625,
0.0140380859375,
-0.056884765625,
-0.11376953125,
0.... | 43,384 | 43384 | |
variance
Variance
Reduction
Techniques
1
Outline
Importance of Variance Reduction
Types of Variance Reduction
Techniques
Common Random Numbers
Example: Common Random Numbers
Implementing Common Random
Numbers in Arena
Antithe... | 5 | [
0.08154296875,
0.09130859375,
0.0908203125,
-0.031982421875,
-0.05224609375,
0.037109375,
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0.052490234375,
0.053955078125,
0.0269775390625,
-0.060302734375,
0.1171875,
0.059326171875,
0.0035858154296875,
-0.033447265625,
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0.0673828125,
0.1064453125,
-... | 43,385 | 43385 | |
Implicit Differentiation
May 10th 2011, 08:48 PM
RezMan
Implicit Differentiation
Hey guys can you help me out with this:
Given the ellipse 4x^2 + 9y^2 = 36,
a) Find $\frac{dy}{dx}$.
is this correct:
$\frac{d(4x^2)}{dy}+\frac{d(9y^2)}{dx}*\frac{dy}{dx } = \frac{d(36)}{dx}$
$8x+18y*\frac{dy}{dx... | 4 | [
0.0084228515625,
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0.1044921875,
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0.0263671875,
0.022705078125,
0.0546875,
-0.0830078125,
-0.00153... | 43,386 | 43386 | |
al Wisdom
This, however, is thought to be a mere strain upon the text, for the words are these: ‘That all true believers break their eggs at the convenient end’, and which end is the convenient end, seems, in
my humble opinion, to be left to every man’s conscience…
... | 4 | [
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0.019653320... | 43,387 | 43387 | |
Check solution: find the probability density function of Y=logX
I think I have a good answer to this one, but I'd like to make sure it's correct.
If $X$ has exponential distribution with parameter $\lambda$, find the probability density function of $Y=\log X$.
Here is what I did.
$F_Y(y) = P \{ Y \leq... | 5 | [
0.0191650390625,
0.005889892578125,
-0.0308837890625,
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0.1103515625,
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0.0224609375,
0.029541015625,
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0.13671875,
0.0478515625,
-0.0478515625,
-0.021728515625,
-0.110... | 43,388 | 43388 | |
regarding metric and symplectic forms
up vote 2 down vote favorite
2
Let $g$ be a positive definite symmetric form on a $2n$-dimensional vector space (a metric), $\mathbb{J}$ the symplectic unit and $c$ a real number. Define the symmetric form
$h = g + c[g,\mathbb{J}],$
where $[\cdot,\cdot]$ is the commutator. Have ... | 4 | [
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completing the square help
April 6th 2008, 12:32 PM #1
Junior Member
Joined
Mar 2008
Posts
51
completing the square help
Find the axis of symmetry and coordinates of vertex of the graph of the following quadratic functions using the method of completing the square.
A, y=-x^2+7x-4
B, y=3x^2-8x+... | 4 | [
-0.0252685546875,
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0.01513671875,
0.0458984375,
-0.0162353515625,
-0... | 43,390 | 43390 | |
G = [G,G] with two generators
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is it true that groups $\langle a,b \mid a^n b^k=b^ka^{n+1}, b^la^s=a^sb^{l+1}\rangle$ are non-trivial for almost all (in any sense:))) $n,k,l... | 5 | [
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0.03271484375,
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0.0238037109375,
0.087890625,
-0.059814453125,... | 43,391 | 43391 | |
Double integration with substitution
January 30th 2008, 01:43 PM #1
Member
Joined
Sep 2006
Posts
77
Double integration with substitution
Use substitution to find $\int \int \cos (\frac{x-y}{x+y})dx dy$ over region D, where D is the triangle with vertices (0,0), (0,1), (1,0).
I think the required in... | 4 | [
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0.0771484375,
0.038330078125,
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-0.00171661376953125,
-0.056... | 43,392 | 43392 | |
Second Derivative
I expect you are meant to use the quotient rule to do this, but since I don't lnow it I will use the product rule: df/dx= 1/(x^2+1) + x (-1)(2x)/(x^2+1)^2 = (x^2+1-2x^2)/(x^2+1)^2 .............= (1-x
^2)/(x^2+1)^2 so: d^2f/dx^2 = -2x/(x^2+1)^2 + (1-x^2) (-2) (2x)/(x^2+1)^3 ..............= [-2x(x^2+1)=... | 5 | [
0.0167236328125,
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0.069335... | 43,393 | 43393 | |
Mircea Petrache's Blog
Posted by mpetrache in Uncategorized on May 10, 2012
This post is about mostly things that I don’t know, but which are very interesting.. The basic topic is threefold:
1) sometimes computers are not capable of doing things, and sometimes it’s things that humans instead can do. I’m not speaking ... | 5 | [
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0.01422119140625,
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0.0947265625,
-0.08056640625,
0.004943847... | 43,394 | 43394 | |
Length of Curve (Parametric)
March 25th 2009, 05:50 PM #1
Member
Joined
Sep 2008
Posts
94
Length of Curve (Parametric)
Find the length of the following parametric curve
$y= a(cos t + ln tan \frac {t}2$)
$y= a sint$
from the point (0,a) to the point (x,y).
I need to use the formula
... | 5 | [
-0.0186767578125,
-0.059814453125,
0.03125,
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0.0478515625,
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0.091796875,
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0.053955078125,
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0.0419921875,
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-0.05493164... | 43,395 | 43395 | |
Relation between regularities of the trajectory of a mean zero gaussian process and its covariance operator
up vote 4 down vote favorite
1
Let $\xi_t$ be a zero-mean gaussian process on $[0,1]$ with covariance operator $C$. I would like to better understand the relation between the covariance operator and the regulari... | 4 | [
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-0.036376953125,
0.04833984375,
-0.0527343... | 43,396 | 43396 | |
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Topic: RE:Radius of the incircle puzzle
Replies: 0
RE... | 4 | [
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-0.095703125,
-0.0070190... | 43,397 | 43397 | |
15 Order Statistics, Record Values and Characterizations
Univariate Extreme Value Distributions 13
−2 −1 0 1 2 3 4 5 v
... | 4 | [
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0.09326171875,
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The group of automorphisms of the first weyl algebra in prime characteristic and the restriction map
Bavula, V.V. (2009) The group of automorphisms of the first weyl algebra in prime characteristic and the restriction map. Glasgow Mathematical Journal, 51 (2). pp. 263-274. ISSN 0017-0895
Full text available as:
Tex... | 4 | [
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