content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
lots of math problems, and fast????
August 12th 2007, 12:16 PM
cassiopeia1289
lots of math problems, and fast????
ok, I've got a couple and instead of splitting them into seperate threads, I thought I would post it all here, ok:
1: (simplify with only positive exponents)
sqrt(4x-16) / 4thsqrt (x-4)^3
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0.0849609375,
-0.029296875,
... | 11,400 | 11400 | |
Indefinite Integrals
April 1st 2009, 11:20 AM #1
Newbie
Joined
Jan 2009
From
Florida
Posts
20
Indefinite Integrals
Business: Total Savings. A company installs a new computer that is expected to generate savings at the rate 20,000e^-0.02t dollars per year, where t is the number of years that the compu... | 5 | [
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... | 11,401 | 11401 | |
x^2=2^x
November 23rd 2011, 12:32 PM
bigwave
x^2=2^x
$x^2=2^x$
from observation 2 answers of this are $2$ and $4$ but $x=-0.0767$is the one which not sure how got.
if I take the log of each side $2log(x)=xlog(2)$ but don't see what you can do with this? thnx ahead for help(Cool)
November 23rd 2011, 12... | 5 | [
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Calculus Word Problem - No Solution! ? :O
June 17th 2009, 11:57 AM #1
Member
Joined
Feb 2008
Posts
126
Calculus Word Problem - No Solution! ? :O
The question was on our exam today, and several of us are dumbfounded after it. We knew how to solve this question, and we went about our business, and it turne... | 5 | [
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The Inverse of a Square Matrix - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
The Inverse of a Square Matrix - Concept 8,293 views
We use the identity matrix to calculate a square matrix inverse. In order to be invertible, a matrix must be square,... | 4 | [
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... | 11,404 | 11404 | |
Uniform variate problem
Let X be a uniform variate defined on (-k,k). Determine k so that P(|X|<1) = P(|X|>2)
Hello, Draw a line where you represent -2,-1,0,1,2 and represent the areas where |X|<1 and |X|>2 and you'll see that for the areas to be equal, the domain has to stop to -3 and 3. More formally... :
$P(|X|<1)=... | 5 | [
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Example of an infinite index subgroup of a non-amenable group whose normalizer is of non-zero finite index, and such that the Schreier graph is of subexponential growth
up vote 6 down vote favorite
1
EDIT: In this question I forgot to put one of the assumptions, and the question was easier than it should be. Here is t... | 5 | [
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A functor whose initial algebra is another's terminal coalgebra
up vote 1 down vote favorite
1
Edit: the question was unclear, so prompted by the comments and answers I've tried to clarify things.
A colleague has asked me whether, or under what conditions, it is possible, given a sufficiently nice functor $F \colon \... | 4 | [
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Finance-Formulas
June 15th 2009, 03:03 AM
atom360
Finance-Formulas
Hello
My maths book does not provide the formula for finding the depreciation and inflation in questions such as...
Q.1) A particular car has a new value of $32 000. If we assume a constant annual depreciation rate of 12% what will the ... | 4 | [
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Tricks Wiki article: The tensor power trick
As many readers may already know, my good friend and fellow mathematical blogger Tim Gowers, having wrapped up work on the Princeton Companion to Mathematics (which I believe is now in press), has
begun another mathematical initiative, namely a “Tricks Wiki” to act as a repos... | 5 | [
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The image of generator under an automorphism of a cyclic function field
up vote 0 down vote favorite
I'm reading the proof of Lemma 4.1 [1] which says:
"Let $F = K(x,y), y^q = f(x)$, where $q$ is a prime different from characteristic of $K$. Let $Z := Gal(F/K(x))$ and we have $Z < G < Aut(F/K)$ Then:
$Z < Z(G) \iff$... | 4 | [
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recurison + induction
Last edited by Tom123; November 7th 2007 at 06:36 AM.
Prove by induction: $f_{2}+f_{4}+.........+f_{2n}=f_{2n+1}-1$ Prove for n=1: $f_{2(1)+1}-1=f_{3}-1=2-1=1$......true. Assume $P_{k}$ is true: $f_{2}+f_{4}+...........+f_{2k}=f_{2k+1}-1$ now, we must
show that $P_{k+1}$ is true: $f_{2}+f_{4}+...... | 4 | [
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bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 353.05045
Autor: Bollobás, Béla; Erdös, Paul
Title: An extremal problem of grap... | 4 | [
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Compact space in site -> compact object in topos
up vote 8 down vote favorite
5
Given a site $C$, there are various standard notions for an object $X \in C$ being compact. For instance:
1. Every covering family $\lbrace U_i \to X \rbrace$ has a finite subfamily that is still covering.
2. The functor $C(X,-)$ commu... | 4 | [
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0.024... | 11,413 | 11413 | |
classifying space
Context
Yoneda lemma
Ingredients
Incarnations
Properties
Universal aspects
Classification
Induced theorems
…
In higher category theory
Geometry
Contents
Idea
A classifying space for some sort of data refers to a space (or a more general object), usually written $\mathcal{B}(data)$, such t... | 4 | [
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0.04589... | 11,414 | 11414 | |
how can I prove if this function is continuous or not!
October 22nd 2009, 10:27 PM #1
Junior Member
Joined
Oct 2009
Posts
37
how can I prove if this function is continuous or not!
$<br /> f(x) = \left\{<br /> \begin{array}{lr}<br /> x^2 sin\frac{1}{x} & : x eq 0\\<br /> 0 & : x = 0<br /> \end{array}<br /... | 5 | [
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limits of sequences
April 3rd 2007, 06:23 PM
learn18
limits of sequences
find the limit of each sequence:
A) Sn = (1 + 1/2n)^(2n)
B) Sn = ( 1 + 1/n)^(2n)
C) Sn - (1 + 1/n) ^ (n-1)
D) Sn = (n/(n+1))^n
E) Sn = (1+ 1/2n)^n
F) Sn = ((n+2)/(n+1))^(n+3)
I found the answers to be this: A)e ... | 5 | [
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second drivitive of a parametric
December 8th 2011, 12:18 PM #1
Member
Joined
Aug 2011
Posts
117
I have a parametrically defined curve where i am trying to find the second derivative.
here is the problem:
$x(t) = \frac {1}{t}$
and
$y(t) = -2 + lnt$
I need to find the equation for th... | 5 | [
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0.... | 11,417 | 11417 | |
mathschallenge.net
Tangential Distances
Problem
$P$ represents a remote point from a circle, and the lines through $PS$ and $PT$ are tangential to the circle.
Prove that the tangential distances $PS$ and $PT$ are always equal.
Solution
Consider the following diagram where $C$ represents the centre of the circle.
... | 4 | [
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Newest 'hypergeometric-functions special-functions' Questions
I am wondering whether there exists a closed form for the definite integral $$F(x)=\int_0^1t^{-a}(1-t)^{N}(1-xt)^{-a}{}_2F_1(-a,k-a-1/2,k-a;4xt(1-xt))dt,$$ where $a\in(0,1)$ and $N,k$ are positive
...
I want to know whether there is some transformat... | 4 | [
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-0.0177001... | 11,419 | 11419 | |
MacWilliams Identity for Asymptotic Weight Spectrum of a Code
up vote 10 down vote favorite
2
Introduction
Let $C$ be a code of block length $n$ having $A_i^C$ words of Hamming weight $i$, for $i\in [n]$, where $[n]:=\{0,\ldots,n\}$. Then, the sequence $\{ A_i^C \}_{i \in [n]} $ is called the weight
distribution of $... | 4 | [
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Characterize Balanced Devices With A VNA
Differential (balanced) topologies are very often used in RF and microwave circuits, and particularly in integrated circuits (ICs), such as MMICs and single-chip receivers. Such circuits are usually
impedance matched at the input at a single carrier or local-oscillator (LO) freq... | 4 | [
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Triprotic Acid Titration Examples
Triprotic Acid Titration with Strong Base
Considered herein is the pH or titration curve that would be obtained when titrating a triprotic acid with a base. Three examples are given; phosphoric acid, and the two amino acids, aspartic acid
and tyrosine. It is assumed that a strong base... | 4 | [
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th
You are currently browsing the monthly archive for December 2009.
Does the following fact have a name?
Theorem 1 Suppose ${X_1,\ldots,X_n,\ldots}$ are a countable collection of 0/1 random variables over a probability space ${(\Omega, {\cal B}, \mathop{\mathbb P})}$ such that for every integer ${n}
$ and bi... | 5 | [
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Evaluate the limits - half the work already done, thanks
April 4th 2013, 07:46 AM #1
Evaluate the limits - half the work already done, thanks
Can you please show me how all the algebra works for evaluating the limits of this function as x-> +/_ infinity for this function
lim f(x),x-> +/_ inf sqrt(x^2 + 10x +... | 5 | [
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Multiplying Fractions, Dividing Common Factors: Why Does It Work?
Date: 06/10/2010 at 14:10:42
From: Jim
Subject: Multiplying Fractions
A student's former teacher taught her students that if the numerator of
one fraction and the denominator of the other fraction had a common
factor, then they could divide each by tha... | 4 | [
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0.119140625,... | 11,425 | 11425 | |
Factoring Polynomials of Degree 2
Date: 4/8/96 at 13:39:19
From: Lorrane Chung
Subject: Factoring polynomials
Hello,
I am having a lot of difficulties factoring polynomials of the
type x^2 + 6x +8 and 3x^2 + 10x +8. I have exhausted all the
methods - they don't seem to work for me. I really need an easy
method to ... | 4 | [
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0.05859375,
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0.053222... | 11,426 | 11426 | |
Finding the Area of a Regular Pentagon
Date: 04/15/98 at 20:06:08
From: Jon Gilman
Subject: The area of a regular pentagon
How can you find the area of a regular pentagon only knowing the
length of one side? Is there a way to do it without using
trigonometry? If so, how? Please help me with this question.
Thanks.
J... | 4 | [
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Blog of too many things
Good Morning space geeks, I’m almost ready for my trip to the German Aerospace Center in Cologne to watch Philae’s commissioning in their Microgravity User Support Center (MUSC). But since I have a
few hours to kill I thought I share a few thoughts with you about the microgravity in 67P’ vicinit... | 5 | [
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Triangle tests
Introduction
A triangle test is a test beloved by sensory scientists for its simplicity and general use in detecting presence of product differences. The principle is simple. Test subjects get served three
samples. One of these contains A, two of these contain B. The test subject has the task to indicat... | 4 | [
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-0.10693359375... | 11,429 | 11429 | |
Finite field extensions.
November 5th 2009, 11:28 AM
ENRIQUESTEFANINI
Finite field extensions.
Hi:
If K/F is a finite field extension of degree n, so is K(x)/F(x), where K(x) is the field of rational functions in one variable over K, idem F(x).
I could prove K(x)/F(x) is a finite extension, but I cannot... | 5 | [
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Representability of the diagonal morphism of stacks
up vote 2 down vote favorite
Corollaire 3.13 in "Champs algebriques" says that the diagonal 1-morphism of stacks $\Delta:\mathcal{X} \to \mathcal{X} \times_S \mathcal{X}$ is representable if and only if the sheaf $\mathcal{Isom}
(x,y):\mathrm{Aff}/U \to \mathrm{Ens}$... | 4 | [
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-0.02... | 11,431 | 11431 | |
Reservoir Sampling
Problem: Given a data stream of unknown size $n$, pick an entry uniformly at random. That is, each entry has a $1/n$ chance of being chosen.
Solution: (in Python)
import random
def reservoirSample(stream):
for k,x in enumerate(stream, start=1):
if random.random() < 1.0 / k:
chos... | 5 | [
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0.007537841796... | 11,432 | 11432 | |
i
Heat Capacities
Back to last section: Incompressible Flow
Continue to next section: Evaluation Along a Chosen Path
It should be obvious by now that to do energy balances you must be able to evaluate H for the fluid between... | 4 | [
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-0.043701171875,
0.0546875,... | 11,433 | 11433 | |
Space
Expressions & Equations
Percentage, Scientific Notation, Unit Conversions
Problem 586: Searching for Comets
Students use tabular data on the detection of new comets since 1999 to explore detection rates over time. [Grade: 3-5 | Topics: Percentages] (PDF)
Problem 545:Measuring Atmospheric Trace Gases Using Par... | 4 | [
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0.035... | 11,434 | 11434 | |
isomorphismes
Posts tagged with noncommutative
Playing around with polaroid screens at Google.
If you shine light through
• a light polariser A
• another light polariser B that’s perpendicular to A (i.e., A ⊥B or A×B=0)
• i.e., AB represents “shine the light through A then through B which ⊥A”
• then no light... | 4 | [
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0.041748046875,
0.025146484375,
0.1162109375,
-0.036865234375,
0.033203125,
-0.083... | 11,435 | 11435 | |
Fermat's Factorization Method
Date: 01/29/99 at 15:22:57
From: Karthick
Subject: Number theory, Fermat's factorisation methord.
I remember reading somewhere that Fermat devised a rule for
factorising that works well if the factors are close. You take the
integer part of the square root of the number to be factorised... | 4 | [
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0... | 11,436 | 11436 | |
Input Impedance
We are now ready to determine the input impedance of a transmission line of length L attached to a load (antenna) with impedance ZA. Consider the following circuit:
In low frequency circuit theory, the input impedance would simply be ZA. However, for high-frequency (or long) transmission lines, we kno... | 5 | [
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Motion Along a Line - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Motion Along a Line - Concept 5,310 views
We can use the vector equation of a line to describe the motion along a line. We can also rewrite these equations to represent the motion ... | 4 | [
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Even Perfect numbers $n$ with $n+1$ prime
up vote 3 down vote favorite
1
The set $S$ of even perfect numbers $n$ such that $n+1$ is a prime number contains $$ 6,28,33550336,137438691328 $$
Latter number found by Joerg Arndt, corresponds to $M_{19}$ (mersenne)
Question: Is $S$ reduced to these $4$ numbers.
New: Joer... | 4 | [
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0.0791015625,
-0.05786132812... | 11,439 | 11439 | |
Parametric curve plotter
Use the buttons down the right hand side to construct the parametric equations given earlier. The lower panel is for changing the camera position and direction -
1.choose what you want to change in the list on the left
2.enter what you want to change it to in the text box on the right
3.c... | 4 | [
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-0.028564453125,
-0.078125,
-0.0191650... | 11,440 | 11440 | |
Euclidean Proof
February 2nd 2009, 07:22 PM
wrighchr
Euclidean Proof
Prove that (a , b) = 1 if and only if (a + b , ab) = 1.
Any help would be great!
Thanks
February 2nd 2009, 07:43 PM
ThePerfectHacker
Quote:
I start you out. Say there is a prime $p$ dividing both $a+b$ and $ab$. Now $p|ab$... | 4 | [
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0.027099609375,
-0.00494384765625,
-0.0145263... | 11,441 | 11441 | |
(sharp)Garding's inequality and inequality with lower bounds
up vote 6 down vote favorite
2
The origin of Garding's inequality was an effort to solve Dirichlet's problem for linear elliptic operators of high even order.Let $$P(x,D)= \sum a_{\alpha}(x)D^{\alpha}$$ with principal part $$P_
{2m}(D)= \sum_{\alpha=2m} a_{\... | 4 | [
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... | 11,442 | 11442 | |
Math Forum: Teacher2Teacher - Q&A #3962
View entire discussion
[<< prev] [ next >>]
From: Teh Oh Kian <mr_teh@hotmail.com>
To: Teacher2Teacher Public Discussion
Date: 2002052308:02:26
Subject: Re: Re: Re: Re: A special linear equation
It's much regret that I had not received any reply after 2 years to my
conjecture... | 4 | [
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What is the definition of the valuation of a fractional ideal?
up vote 0 down vote favorite
I am reading Local fields and see Serre using $v_{\mathfrak{p}}(\mathfrak{a})$ where $\mathfrak{a}$ is a fractional ideal of the Dedekind domain $A$ and $v_{\mathfrak{p}}$ is the valuation associated
to the discrete valuation r... | 4 | [
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Unit Three
FIRST you will be asked to identify the building blocks of a given Euclidean proposition from a list of definitions, postulates, and prior propositions. MAKE SURE that you are very familiar with
these building blocks before the quiz so that you can find them easily. (The partial list given below incl... | 4 | [
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0.00491333007812... | 11,445 | 11445 | |
Ptolemy's Theorem
Date: 09/07/97 at 08:28:13
From: Anonymous
Subject: Ptolemy's Theorem
Dear Dr. Math,
I am searching for the proof for the Ptolemy's Theorem. Can you please
give me a reference? Thanks.
Almut Breitling
Date: 09/07/97 at 18:00:53
From: Doctor Anthony
Subject: Re: Ptolemy's Theorem
Ptolemy's Theo... | 4 | [
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covariant derivative
Context
$\infty$-Chern-Weil theory
Ingredients
Connection
Curvature
Theorems
Differential cohomology
Ingredients
Connections on bundles
Higher abelian differential cohomology
Higher nonabelian differential cohomology
Fiber integration
Application to gauge theory
Contents
Idea
In an a... | 4 | [
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-0.035888671875,
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-... | 11,447 | 11447 | |
Elkies' supersingularity theorem in higher dimension
up vote 15 down vote favorite
5
The following is a theorem of Elkies:
Let $X$ be an elliptic curve over $\mathbb{Q}$. Then there are infinitely many primes $p$ such that the action of Frobenius on $H^1(\mathcal{O}, X)$ is zero.
Allen Knutson and I would like a sim... | 4 | [
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... | 11,448 | 11448 | |
Calculating the probability of an event defined by a condition on a Gaussian random process
up vote 4 down vote favorite
1
Although the question itself can be expressed succinctly, I couldn't come up with a nice self-explanatory title - suggestions are welcome.
Motivation/Background
I was investigating whether it wo... | 5 | [
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-0.... | 11,449 | 11449 | |
Form the irreducible unitary representations of a locally compact group a separating set for the Radon measures on the group?
up vote 1 down vote favorite
Let $\mu$ and $\nu$ be two Radon measures on a locally compact group $G$. For every irreducible unitary representation $\pi$ of $G$ and vectors $u$ and $v$ from the... | 4 | [
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0.096679... | 11,450 | 11450 | |
Secant variety of an irreducible non-degenerate projective curve
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I would like to know why every non-degenerate irreducible projective curve has a three-dimensional secant v... | 5 | [
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Geometric approximation of projections in a finite von Neumann factor
up vote 0 down vote favorite
Let $(M,\tau)$ be a finite von Neumann factor (in my case $M=R^\omega$, but I don't think this additional hypothesis might be useful for this particular problem) and fix a projection $p$. Let $\
tau_p$ (resp. $\tau_{1-p}... | 5 | [
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0.01086425781... | 11,452 | 11452 | |
Steinhart-Hart Thermistor Calculator
See our other Electronics Calculators.
Steinhart-Hart Temperature Calculator
Thermistor resistance is related to temperature in degrees Kelvin by the following formula:
1/T= A + B*ln(R/Rt) + C*ln(R/Rt)^2 + D*ln(R/Rt)^3
In the standard Steinhart-Hart equation the C parameter is ... | 4 | [
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... | 11,453 | 11453 | |
CS 261 Lecture 10: the fattest path
In which we discuss the worst-case running of the Ford-Fulkerson algorithm, discuss plausible heuristics to choose an augmenting path in a good way, and begin analyzing the “fattest path” heuristic.
In the last lecture we proved the Max-Flow Min-Cut theorem in a way that also establ... | 4 | [
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0.0130004882... | 11,454 | 11454 | |
Linear mixed-effects regression p-values in R: A likelihood ratio test function
Following Douglas Bates' advice for those required to produce p-values for fixed-effects terms in a mixed-effects model, I wrote a function to perform a likelihood ratio test for each term in an lmer
() object. Bates has championed the noti... | 5 | [
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0.... | 11,455 | 11455 | |
rimitive and
Information on Primitive and Irreducible Polynomials
For now, COS only generates polynomials over GF(2), GF(3), GF(4) and GF(5).
For GF(2), the coefficients are either 0 or 1 and the rules for multiplication and addition are 0 = 0+0 = 1+1 = 0*0 = 0*1 = 1*0 and 1 = 0+1 = 1+0 = 1*1.
A polynomial ov... | 4 | [
0.025634765625,
0.0201416015625,
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0.04736328125,
0.08837890625,
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-0.06591796875,... | 11,456 | 11456 | |
Operations in the Klasies Caves
July 13, 2012 9:00 AM Subscribe
I was helping my 4th grade age sister-in-law with her math homework, and came across a question that I couldn't figure out. Can you do it?
Picture Of The Problem
It's been a few months since I last glanced at this but I gave it my best for about an hou... | 4 | [
-0.058349609375,
0.0390625,
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-0.0213623046875,
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0... | 11,457 | 11457 | |
"Orthogonal complement" in $\mathbb{Z}_q^n$
up vote 5 down vote favorite
Let $W$ be the finite $\mathbb{Z}$-module obtained from $\mathbb{Z}_q^n$ with addition componentwise where $\mathbb{Z}_q$ is the integers mod $q$. Let $V$ be a submodule of $W$. Let $V^{\perp} = \{w
\in W : \forall v \in V \quad w \cdot v = 0 \}$... | 5 | [
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0.0341796875,
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0.12353515625,
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0.0... | 11,458 | 11458 | |
Andhra Pradesh pgcet for eee previous years question papers?
Re: Andhra Pradesh pgcet for eee previous years question papers?
The APSCHE or Andhra Pradesh State Council of Higher Education and Osmania University Hyderabad conducts the Post-graduate Eng... | 5 | [
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0... | 11,459 | 11459 | |
MATHEMATICAL BACKGROUND
MATHEMATICAL BACKGROUND
In [1] Coxeter considers the 24-cell with the 24 vertices
(±2, 0, 0, 0), (0, ±2, 0... | 4 | [
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0.03759765625,
... | 11,460 | 11460 | |
Statistics 2 - Measures of Dispersion
Measures of Dispersion
Range, Standard Deviation, Variance, Mean Absolute Deviation
Problem: For the data set {10,... | 4 | [
0.0537109375,
0.0185546875,
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0.04345703125,
-0.0104... | 11,461 | 11461 | |
ro
5-6 Generating a growth curve
(127380 Reads)
Table of Contents| Chapter Article List| Printable Version | Printable Chapter
[Prev]
|
[Next]
In this experiment, the classic bacterial growth curve will be demonstrated. A culture of Escherichia coli will be sampled at hourly or half-hourly intervals from the time... | 4 | [
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Non-vanishing of cup product in cohomology
up vote 2 down vote favorite
Let $X$ be a smooth projective variety over $\mathbb{C}$, and let $\alpha \in H^{2k}(X)$ be an algebraic cohomology class. Let us fix an $l$ such that $H^l(X) \neq 0$ and $H^{l+2k}(X) \neq 0$.
The general question (perhaps a bit vague) is: does a... | 5 | [
0.040283203125,
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GeneRank: Using search engine technology for the analysis of microarray experiments
Abstract
Background
Interpretation of simple microarray experiments is usually based on the fold-change of gene expression between a reference and a "treated" sample where the treatment can be of many types from drug
exposure to genet... | 4 | [
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... | 11,464 | 11464 | |
Homework Help
Posted by Christina on Tuesday, December 7, 2010 at 8:36am.
Solve by elimination method.
7r-3s=14
3r+7s=64
Could never figure out the elimination method. Would love some help with this one. Thanks
• Algebra - drwls, Tuesday, December 7, 2010 at 9:44am
21r - 9s = 42
(I multiplied the first ... | 4 | [
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0.0019302... | 11,465 | 11465 | |
Speakers
Contents
Introduction
This article is about those electroacoustic transducers that convert a varying electrical signal into a varying acoustic pressure, usually in air but sometimes in water or other liquids and solids.
These are the inverses of Microphones, and much of what is said in that article is appli... | 4 | [
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Mathematical method to build an empirical model for inhaled anesthetic agent wash-in
Abstract
Background
The wide range of fresh gas flow - vaporizer setting (FGF - F[D]) combinations used by different anesthesiologists during the wash-in period of inhaled anesthetics indicates that the selection of FGF
and F[D ]is b... | 4 | [
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Parallelizability of the Milnor's exotic spheres in dimension 7
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Are the Milnor's seven dimensional exotic spheres parallelizable?
A normal $S^7$ is parallelizable and a... | 4 | [
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Even + Even = Even
Associated Topics || Dr. Math Home || Search Dr. Math
Even + Even = Even
Date: 11/06/200... | 4 | [
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0.04907226... | 11,469 | 11469 | |
disjoint translates of a dense uncountable set
up vote 4 down vote favorite
1
If {c(n)} is an arbitrary sequence of irrational numbers converging to 0 then Q + c(n), the set obtained by adding c(n) to the set of rational numbers Q, is clearly disjoint from Q for each n.
Is there an uncountable dense set of the real n... | 4 | [
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0.0026092529296875,... | 11,470 | 11470 | |
Passive integrator and differentiator circuits
Question 1:
Calculus is a branch of mathematics that originated with scientific questions concerning
rates of change
. The easiest rates of change for most people to understand are those dealing with time. For example, a student watching their savings account dwindle o... | 5 | [
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0.025390625,
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0.056396484375,... | 11,471 | 11471 | |
direct sum
Context
Limits and colimits
1-Categorical
2-Categorical
(∞,1)-Categorical
Model-categorical
Direct sums and weak direct products
Idea
The notion of direct sum, or weak direct product, is a concept from algebra that actually makes sense in any category $C$ with zero morphisms (that is, any category en... | 4 | [
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... | 11,472 | 11472 | |
Math: Calculus - Vectors
Posted by Anonymous on Tuesday, February 19, 2008 at 10:29pm.
A boat travels at a speed of 5 m/s in still water. The boat moves directly across a river that is 70m wide. The water in the river flows at a speed of 2 m/s. How long does it take the boat to cross
the river? In what direction is th... | 4 | [
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0.0016403... | 11,473 | 11473 | |
Series Uniform Continuity proof
November 20th 2010, 06:17 PM
gutnedawg
Series Uniform Continuity proof
Let f(x)= sum [(3^(n) + cos(n))/n!]X^n
1. Prove that for every x in [-10,10] the sum converges
2. Show that for every E >0 there's an N independant of x in [-10,10] such that
|f(x) - sum [(3^(n) + ... | 5 | [
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0... | 11,474 | 11474 | |
Infamous Heel-Filcher
Continuing on our occasional theme of "problems suitable for a prelim exam".
Lo these many years ago, I took (and passed) the prelim exam in Logic at the CUNY Grad Center. (I think they call it a "qualifying exam" there, but whatever. "Subject exam", if you will.) Now, the
course structure was al... | 5 | [
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-0.1103... | 11,475 | 11475 | |
Polynomial in Z[X]
May 17th 2008, 03:11 AM #1
Member
Joined
May 2008
Posts
75
Polynomial in Z[X]
Hi! I just have a short question: I want to proof the following claim: Let K be a field with characteristic p>0 and f be a polynomial in Z[X] (with Z being the set of integers). Then f(y^p)=f(y)^
p for an... | 4 | [
-0.00445556640625,
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0.1142578125,
-0.053955078125,
0.... | 11,476 | 11476 | |
Homework Help
Posted by Kelsey on Saturday, January 26, 2013 at 5:47pm.
How would you solve the following I'm stumped..
1. 2x^2(squared)=30-4x
2. X^3(cubed)+8x=-6x^2(squared)
Thanks!
• Algebra 2 - MathGuru, Saturday, January 26, 2013 at 5:56pm
First, set each equation equal to 0:
1. 2x^2 + 4x - 30 = 0
... | 4 | [
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0.07568359375,
-0.03369140625,
... | 11,477 | 11477 | |
Extra Loan Payments, Amortization Tables
Date: 03/31/98 at 08:03:39
From: Hunter Haynes
Subject: accounting/finance
A 30-year home mortgage is taken out for $161,800 at an interest rate
of 7.5%. The first payment on the loan is made in December, in the
amount of $1,232.65. If one extra payment is made each year, for... | 5 | [
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-0.099609375,
-... | 11,478 | 11478 | |
The Choi-Jamiolkowski Isomorphism: You're Doing It Wrong!
The Choi-Jamiolkowski Isomorphism: You’re Doing It Wrong!
As the dear departed Quantum Pontiff used to say: New Paper Dance! I am pretty happy that this one has finally been posted because it is my first arXiv paper since I returned to work, and also
because it... | 4 | [
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0.08837890... | 11,479 | 11479 | |
Endpoint of an Arc
Date: 06/25/2001 at 15:26:01
From: Mike Bryson
Subject: Endpoint of an arc
I'm sure this is basic, but I've been out of school for many years and
I have searched extensively through your archives for this answer.
I've found many similar answers but not the exact one I need. So,
given the center of... | 4 | [
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0.03125,
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0.036865234375,
-0.023681640625,
0.0106201171875,
-0.07958984375,
... | 11,480 | 11480 | |
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Topic: symmetric difference calculation
Replies: 3 Last P... | 5 | [
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-0.046875,
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0.099609375,
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-0.04833984375,
... | 11,481 | 11481 | |
Optimize me! (C, performance) -- followup to bit-twiddling question
up vote 26 down vote favorite
10
Thanks to some very helpful stackOverflow users at Bit twiddling: which bit is set?, I have constructed my function (posted at the end of the question).
Any suggestions -- even small suggestions -- would be appreciate... | 4 | [
-0.031982421875,
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-0.0162353515625,
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-0.01904296875,
0.01611328125,
0.09423828125,
0.0010528564453125,
-0.03662... | 11,482 | 11482 | |
Lining Up Decimal Points
Date: 03/03/2003 at 18:16:11
From: Rashonda
Subject: Decimals
Why do addition and subtraction have to be lined up by the decimals
but division and multiplication don't have to be?
Date: 03/04/2003 at 14:48:48
From: Doctor Ian
Subject: Re: Decimals
Hi Rashonda,
That's a really good questio... | 4 | [
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-0.00799560546875,
-0.0683593... | 11,483 | 11483 | |
Functional Dependencies
last updated 24-sep-12
Object... | 4 | [
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0.020751953125,
-0.0... | 11,484 | 11484 | |
algebra: logs
Number of results: 30,365
Math
Logs are stacked up in apile as shown in the figure. The top row has 15 logs and the bottom row has 21 logs. How many logs are in the stack? a1= 1+14=15 an= 7+14=21 s1=(n/2)(a1+an) (n/2)(15+21) = 18
How do I figure out the n?
May 4, 2010 by Abbey(Please help)
math - natura... | 4 | [
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Rate of Change of a Function
Associated Topics || Dr. Math Home || Search Dr. Math
Rate of Change of a Function
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Math Forum Discussions
Re: Tesseract Projected along a Main Diagonal
Posted: Sep 16, 1994 1:44 PM
In article <35ar9f$cfn@newsbf01.news.aol.com> hopd@aol.com (HopD) writes:
>In article <348a6r$eij@forum.swarthmore.edu>, asimov@wk223.nas.nasa.gov
>(Daniel A. Asimov) writes:
>
>Re: Tesseract Projected along a main diagon... | 5 | [
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0.0255126... | 11,487 | 11487 | |
oots
The Beauty of Roots
John Baez
December 15, 2011
Around 2006, my friend Dan Christensen created a fascinating picture of all the roots of all polynomials of degree ≤ 5 with integer coefficients ranging from -4 to 4:
Click on the picture for bigger view. Roots of quadratic polynomials are in grey; roots of cubic... | 4 | [
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Protein Inverse Kinematics and the Loop Closure Problem
Inverse kinematics is the problem of finding the right values for the underlying degrees of freedom, in the case of proteins, of the dihedral angles, so that the manipulated chain satisfies certain
spatial constraints. For example, in some applications, it is nece... | 5 | [
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Appendix-C. A Worked Example. - Scalable Key Cryptography.
Appendix-C. A Worked Example. - Scalable Key Cryptography.
Alice and Bob are the industry pseudonyms for the sending entity and
the receiving entity respectively in some crypto circles although a
lot of people do not use the expressions and I suspect it is ... | 5 | [
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Fun with the right trianlge.
January 23rd 2006, 11:48 AM
ThePerfectHacker
Fun with the right trianlge.
The other day I saw something interesting,
Take any right triangle. Then the products of the segments of the hypotenuse divided by the inscribed circle is its area.
January 24th 2006, 10:42 AM
earboth
... | 4 | [
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Uniformity of ampleness
up vote 4 down vote favorite
Let $X$ be a smooth projective variety over $\mathbb C$ and $A\to X$ an ample line bundle.
Is there an integer $k_0$ such that for all line bundle $L\to X$, the tensor product $A^{\otimes k}\otimes L$ is ample for every $k\ge k_0$?
Of course the answer is yes if w... | 5 | [
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nLab
Context
Homological algebra
Contents
Idea
In the context of homological algebra, the $Tor$-functor is the
left derived functor of the tensor product of $R$-modules, for $R$ a commutative ring.
Together with the Ext-functor it constitutes one of the central operations of interest in homological algebra.
Defin... | 4 | [
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SPOJ Pell (Mid pelling)
Pell (Mid pelling) is related to Pell’s equation. It is similar to Project Euler 66 and SPOJ EQU2. I just wrote the quick solution from mathworld but I found Chakravala method very interesting.
Accepted Haskell code.
import qualified Data.ByteString.Char8 as BS
import Data.List
import Data.May... | 4 | [
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Cash Flow Analysis
Discounted Cash Flow Analysis: NPV and IRR
The HP-12C provides functions for the two most widely-used methods of discounted cash flow analysis: NPV (net present value) and IRR (internal rate of return). These functions enable you to analyze
financial problems involving cash flows (money paid out or... | 4 | [
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... | 11,495 | 11495 | |
ootballs
Can helium filled footballs be kicked farther than air filled balls?
Now that we have seen how the Bootstrap can work for finding confidence intervals, we can extend this method to answering other types of problems. Consider the following proble... | 4 | [
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Brooks Design-Contemporary Graphics "Art Theory 101/ Database" Page 2:PIN: Pattern in Number by Reginald Brooks. GoDNA: the Geometry of DNA, and, SCoDNA: the Structure and Chemistry of DNA follows.
1. INTRODUCTION
How fundamental is Nature's design esthetic. If the esthetic response to pleasing pattern designs we... | 4 | [
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Robust probabilistic superposition and comparison of protein structures
Abstract
Background
Protein structure comparison is a central issue in structural bioinformatics. The standard dissimilarity measure for protein structures is the root mean square deviation (RMSD) of representative atom
positions such as α-carbon... | 4 | [
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No Title
DEPARTMENT OF COMPUTER SCIENCE
DOCTORAL DISSERTATION DEFENSE
... | 4 | [
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