content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Equation of a Circle. HELP!
November 29th 2008, 07:58 PM
meiyukichan
Equation of a Circle. HELP!
How do you write the equation of the circle in standard form? and what is the center and radius of it?
$4x^2 + 4y^2 + 24x + 16y + 43 = 0$
A step-by-step view would really help to understand for future probl... | 4 | [
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0.00101470947265625,
0.0299072265625,
0.07470703125,
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... | 43,400 | 43400 | |
Overloading lambda
Haskell’s type class facility is a powerful abstraction mechanism. Using it, we can overload multiple interpretations onto a single vocabulary, with each interpretation corresponding to a different
type. The class laws constrain these interpretations and allow reasoning that is valid over all (law-ab... | 4 | [
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0.01416015625,
0.04809570312... | 43,401 | 43401 | |
antisymmetric relation
nLab
antisymmetric relation
A (binary) relation $\sim$ on a set $A$ is antisymmetric if any two elements that are related in both orders are equal:
$\forall (x, y: A),\; x \sim y \;\wedge\; y \sim x \;\Rightarrow\; x = y$
In the language of the $2$-poset-with-duals Rel of sets and relations, a... | 4 | [
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-... | 43,402 | 43402 | |
Rotation in Hyperkähler manifolds
up vote 3 down vote favorite
1
Any Hyperkähler manifold has 3 complex structures $I_{1}, I_{2}, I_{3}$. Assume that there is an additional complex structure $J$. Can this be written as $J = aI_{1} + bI_{2} + cI_{3}$, where $
(a,b,c) \in S^{2} \subset \mathbb{R}^{3}$? Hope the question... | 5 | [
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0.1445... | 43,403 | 43403 | |
Please Help!
March 19th 2006, 04:31 PM #1
Newbie
Joined
Dec 2005
Posts
14
Please Help!
Let f be the function given by f(x)=2x/sqrt(x^2+x+1)
a)Find the domain for f. Justify your answer.
b)Write an equation for each horizontal asymptote of the graph f.
c)Find the range of f. Use f'(x) to ju... | 5 | [
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[SOLVED] definite intergral problem
March 20th 2010, 09:45 AM #1
Member
Joined
Jan 2009
From
London
Posts
92
Hi - I'd appreciate it if someone could point out where i'm going wrong on this one:
Intergrate within the limits of pi/2 and 0
(sinx)^3 * (cosx)^2 dx
Ok, use the identity (sinx)... | 5 | [
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0.001274... | 43,405 | 43405 | |
I need help with partial fractions
September 24th 2009, 09:03 PM #1
Newbie
Joined
Sep 2009
Posts
2
I need help with partial fractions
I need to compute this integral:
int ((1-x^2)/(x^3+x)) dx
I think I should use the partial fraction method to simplify the fraction
so
(1-x^2)/(x^3+x)= A/x... | 4 | [
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0.... | 43,406 | 43406 | |
Prove that f is the density function of a random variable Z?
April 12th 2010, 02:09 AM #1
Newbie
Joined
Apr 2010
Posts
24
Prove that f is the density function of a random variable Z?
f(x) =
0 ............... if x <= 0
2e^(-2x) .... if x > 0
1) Prove that f is the density function of a random... | 5 | [
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Critical Phenomena
All real gases can be liquefied. Depending on the gas this might require compression and/or cooling. However, there exists for each gas a temperature above which the gas cannot be liquefied. This
temperature, above which the gas cannot be liquefied, is called the critical temperature and it is usual... | 4 | [
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Two Trains with a Twist
Date: 9/11/96 at 22:41:27
From: Anonymous
Subject: Two Trains with a Twist
The local train heading for Westford at 60km/h and the express train
heading for Eastford at 80 km/h pass each other at Centerville while
heading in opposite directions along a straight roadbed. Westford and
Eastford ... | 4 | [
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Math Forum: Ask Dr. Math FAQ: Permutations and Combinations
Note: What's a factorial? A factorial is written using an exclamation point - for example, 10 factorial is written 10! - and means multiply 10 times 9 times 8 times 7... all the way down to 1.
Combinations
When we want to find the number of combinations... | 4 | [
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0.0581054687... | 43,410 | 43410 | |
Maximum/Minimum Problems
Maximum/Minimum Problems Help
By
Steven G. Krantz
— McGraw-Hill Professional
Updated on Aug 31, 2011
Introduction to Maximum/Minimum Problems
One of the great classical applications of the calculus is to determine the maxima and minima of functions. Look at Fig. 3.9. It shows some (local)... | 5 | [
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Hard Integral
Find the following integral: $\int{\frac{e^{-x}}{\sqrt{x}}~dx}$ Unable to use integration by parts I believe for this problem..
not sure if this will be of any help, but you could also express [tex] e^{-x} as an infinite series then integrate it out. so you would have: $\int \frac{\sum^{\infty}_{n=0} \fr... | 5 | [
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The Water Displacement Method
Are you loving this? Not loving this? Please consider taking a moment to share your feedback with us. Thanks!
Lesson 3.2
Finding Volume: The Water Displacement Method
Key Concepts
• A submerged object displaces a volume of liquid equal to the volume of the object.
• One milliliter ... | 4 | [
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Find the center and radius of the circle whose equation is given by: x^2 + y^2 - 10x - 2y + 22 = 0 - Homework Help - eNotes.com
Find the center and radius of the circle whose equation is given by: x^2 + y^2 - 10x - 2y + 22 = 0
To find the centre and radius of the circle given by: x^2 + y^2 - 10x - 2y + 22 = 0.
soluti... | 4 | [
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-0.02... | 43,414 | 43414 | |
Volume 20,
Volume 20, Issue 11, November 1979
•
View Description Hide Description
It is shown that two matrices A and B of order n×n which satisfy a monic quadratic equation with two roots λ[1] and λ[2] are connected by A T [ A B ]=T [ A B ] B where T [ A B ]=A+B−(λ[1]+λ[2]) I
with I being the n×n uni... | 4 | [
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Break even point
June 9th 2010, 11:04 AM
petedam
Break even point
So here's the question that i have and i hope someone can help me with this because i am kind of stumped. :( MY main struggle is determining which is VC and which is FC.
John and Jack have opened a shop in Kelowna to build customized patio fu... | 5 | [
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0.048339843... | 43,416 | 43416 | |
Fraction Problems
Date: 25 Apr 1995 17:23:39 -0400
From: Sandip Mody
Subject: Fractions and Fractional Equations
Hello, I was having trouble with the following problems:
4/x-3 + 6/x+3 = 2/3
and solving for x F= w/x+1
The other problem was a^2 + b^2/a^2-b^2 / a-b/a+b - a+b/a-b
Thank You for your help.
Date: 26... | 4 | [
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Computer Algorithms: Karatsuba Fast Multiplication
Introduction
Typically multiplying two n-digit numbers require n^2 multiplications. That is actually how we, humans, multiply numbers. Let’s take a look of an example in case we’ve to multiply two 2-digit
numbers.
OK, we know that the answer is 180 and there are lot... | 5 | [
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Find the solutions of the equation x^2+2x+5=0. Use the method of completing the square. - Homework Help - eNotes.com
Find the solutions of the equation x^2+2x+5=0. Use the method of completing the square.
First, we'll add -5 bith sides:
x^2+2x = -5
The technique of completing the square is made in this way:
We'll d... | 4 | [
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Elements of Algebra
Elements of Algebra: Including Strums' Theorem (Google eBook)
A.S. Barnes & Company
, 1847 -
Algebra
-
368 pages
We haven't found any reviews in the usual places.
Popular passages
Page 271
-
The characteristic of a number less than 1 is found by subtracting from 9 the number of cipher... | 4 | [
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Topic: [ap-calculus] larson pg 137 exercise 69
Replies: 1... | 4 | [
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Total distance Issue
February 13th 2013, 04:57 PM #2
Super Member
February 13th 2013, 03:18 PM #1
Member
Re: Total distance Issue
Hello, minneola24!
Solve $v \,=\,\tfrac{dx}{dt}\,=\,0$ . . $t^2 - 6t + 8 \:=\:0 \quad\Rightarrow\quad (x-2)(x-4) \:=\:0 \quad\Rightarrow\quad x \:=\:2,\,4$ Hence, at $t = 2$ an... | 5 | [
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0.01531982421875,
-0.01104736328125... | 43,422 | 43422 | |
Math Help
November 20th 2008, 10:11 PM #1
Junior Member
Joined
Sep 2008
Posts
54
Max and Min
z=f(x,y)=(y-x^2)(y-2x^2)
a) Show that the point (0,0) is a critical point of f ' and that the second derivative test for a function of two variables fails at this critical point
b) Show that f has neithe... | 5 | [
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-... | 43,423 | 43423 | |
TEST Preparations; Integrals.
June 24th 2010, 03:06 PM #1
TEST Preparations; Integrals.
Let $F(x)=e^{-x^2}\int_0^x e^{t^2}dt$
I have proved the following(I don't know if this will be useful):
$F'(x)+2xF(x)=1$
Now, I need to find for which values of $a$ we get:
$lim_{x\to 0}\frac{F(x)}{x^a}=1$
... | 4 | [
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The Number That Begins With 123454321
Date: 3 Apr 1995 10:20:19 -0400
From: Marek Kacprzak
Subject: Theory of Numbers
Dear Math Team!
Prove,that exists a value of n,which number 2^(n) 2 to power n
begins in decimal notation 123454321(just begins) and the rest of the
digits are whatever they want to be.It is only im... | 5 | [
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-0.022827148... | 43,425 | 43425 | |
Divisible by 10^9 please help!
November 23rd 2009, 09:29 PM #1
Senior Member
Joined
Apr 2009
Posts
306
Divisible by 10^9 please help!
Let $P(x)$ be a polynomial with real coefficients. Show that there exists a nonzero polynomial $Q(x)$ with real coefficients such that $P(x)Q(x)$ has terms that are all of... | 5 | [
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0.038330078125,
... | 43,426 | 43426 | |
big-o theta
October 2nd 2011, 01:27 PM #1
Member
Joined
Sep 2011
Posts
114
big-o theta
I am working on a problem where I must prove that
n log n + n + log n 2 is in theta (n log n)
part of proving this is proving that
nlogn+n+logn <=M(nlogn)
I am just completely confused on how to pro... | 4 | [
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0.0830078125,
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0.07275390625,
-0.011... | 43,427 | 43427 | |
Finding the relative extrema
November 16th 2009, 03:33 PM #1
Member
Joined
Oct 2009
Posts
229
Finding the relative extrema
$y = x^4 - 2x^3 + x + 1$
Now the first thing we have to do is finding the derivative, and that's where I'm having a problem. I can't find the critical number.
My attempt le... | 4 | [
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-0.04052734375,
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0.03125,
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0.054931640625,
0.0830078125,
-0.0303955078125,
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0.006927490234375,
-0.0634... | 43,428 | 43428 | |
CLP(R)
Getting started with CLP(R)
The first thing to know about CLP(R) is that it is a declarative programming language, rather than one of the imperative languages like C++ or Java to which you are used. This affects the way in
whi... | 5 | [
-0.08935546875,
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0.033203125,
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0.0060729980... | 43,429 | 43429 | |
volumes of solids by revolution
September 22nd 2007, 07:51 PM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
volumes of solids by revolution
find the volume of the solid of revolution generated by revolving about the y-axis the region bounded by the curve $y = \sqrt{x}$, the x-axis and th... | 4 | [
0.0810546875,
-0.0242919921875,
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... | 43,430 | 43430 | |
Quadratic Sieve
March 19, 2013
One of the most powerful factoring methods is the quadratic sieve, invented as a “thought experiment” by Carl Pomerance in the early 1980s; it is routinely used to factor semi-primes up to a hundred
digits, sometimes more. The quadratic sieve was famously used to factor RSA-129, a chall... | 4 | [
-0.01446533203125,
0.031982421875,
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0.07958984375,
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0.... | 43,431 | 43431 | |
Math Forum Discussions
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Topic: Lesson Plan
Replies: 0
Lesson Plan
Posted: No... | 4 | [
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0.0634765625,
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... | 43,432 | 43432 | |
h
Noether's Theorem in a Nutshell
John Baez
March 12, 2002
Noether's theorem is an amazing result which lets physicists get conserved quantities from symmetries of the laws of nature. Time translation symmetry gives conservation of energy; space translation
symmetry gives conservation of momentum; rotation symmetry ... | 5 | [
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0.085... | 43,433 | 43433 | |
Applications of Zariski topology outside alg. geometry
up vote 11 down vote favorite
2
Are there applications of the Zariski topology in mathematics that are not within the scope of algebraic geometry (including schemes and algebraic groups) ?
There is an older question with a similar title (What is the Zariski topo... | 5 | [
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[SciPy-user] problems with stats
danny shevitz danny_shevitz at yahoo.com
Mon May 3 18:07:41 CDT 2004
Robert,
thanks for the response. I haven't forgotten you wrote, I just haven't
had a chance to really dig into what you wrote. Now I have.
So I have been using the frequentist approach to constructing the error
bar... | 5 | [
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0.0322265625,
-0.0512695... | 43,435 | 43435 | |
Evaluating an integral
May 17th 2011, 11:41 PM #1
Member
Joined
Jul 2008
Posts
212
Evaluating an integral
Evaluate the integral ∫ [x^3/sqrt(x^2+1)] in two different ways.
a) Integration by parts
b) The substitution u = sqrt(x^2+1)
Not sure how to do this, help would be greatly appreciated!
... | 5 | [
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0.00372... | 43,436 | 43436 | |
Mu
MATTER UNIFIED
For you really interested in how matter works :
Basic understanding of physical concepts
How electromagnetism works
Understanding of the gravitation process
Understanding of nature of light
How mass of elementary particles is created
And ... | 4 | [
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0.042236328125,
0.... | 43,437 | 43437 | |
Formulating an Integer Programming problem
April 24th 2009, 05:09 PM #1
Junior Member
Joined
Sep 2008
Posts
33
Thanks
1
Formulating an Integer Programming problem
A manufacturer can sell product 1 at a profit of $2/unit and product 2 at a profit of $5/unit. Three units of raw material are needed to m... | 4 | [
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0.051513671... | 43,438 | 43438 | |
Linear independence of exponential functions
November 14th 2010, 08:17 PM #1
Newbie
Joined
Oct 2010
Posts
24
Linear independence of exponential functions
I'm honestly a bit baffled by this problem...
Let a_1, ... , a_n = distinct numbers that do not equal 0. show that e^(a_1*t), ... , e^(a_n*t) are ... | 5 | [
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Julian and Gregorian Day Numbers
Boulder Community Network
BCN Home Page | Search | What's New | Contribute
... | 4 | [
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... | 43,440 | 43440 | |
Factoring Polynomials: Factoring Trinomials with Leading Coefficient Other Than 1
Factor 18 x 2 −56x+6 18 x 2 −56x+6 .
We see that each term is even, so we can factor out 2.
2(9 x 2 −28x+3) 2(9 x 2 −28x+3)
Notice that the constant term is positive. Thus, we know that the factors of 3 that we are looking for must hav... | 4 | [
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0.062... | 43,441 | 43441 | |
Solving for unknown varilable
February 5th 2011, 10:02 AM
nasirnoor1
Solving for unknown varilable
How do you solve this problem. Please provide step by step details. Thanks!
Solve for B
V=1/3 Bh
V=20, h=4
(Note: I could not do fractions so 1/3 is a fraction)
Solve for h
A=1/2(B+b)h
... | 4 | [
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0.055... | 43,442 | 43442 | |
Volume as a function of x
September 27th 2010, 07:13 PM #1
Newbie
Joined
Sep 2010
Posts
17
Volume as a function of x
I have a question in my assignment where i am not how to answer it.
A rectangular box with volume 7 cubic metres has a square base with side length x metres. Express the surface area ... | 4 | [
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0.... | 43,443 | 43443 | |
What is the (fractional) half-derivative of zeta at $s=0$ (and how to compute it)?
up vote 3 down vote favorite
(I asked this in MSE before but there was only a general reference which did not help for my specific question)
I think I understood the concept of fractional derivatives applied to monomials to consider so... | 5 | [
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0.024169921875,
0.037109375,
... | 43,444 | 43444 | |
Permutation/combination?
March 28th 2009, 07:44 AM #1
Newbie
Joined
Mar 2009
Posts
5
Permutation/combination?
1.
2. FOUR MARRIED COUPLES HAVE BOTH 8 SEATS IN A ROW FOR A CONCERT. IN HOW MANY DIFF WAYS THEY CAN BE SEATED
A. WITH NO RESTRICTIONS
B. IF EACH COUPLE IS TO SEAT TOGETHER
C... | 4 | [
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-0.0546875,... | 43,445 | 43445 | |
Heat Supplied and Heat Loss of a Furnace
Date: 05/17/2000 at 21:08:02
From: Peter Lehman
Subject: Differential Equations
A furnace is switched on at 9 a.m. Heat is supplied at a constant
rate, but as the furnace increases in temperature, heat is lost at a
rate determined by the difference between its temperature and... | 5 | [
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0.004852294921875... | 43,446 | 43446 | |
singular cohomology
Context
Topology
Basic concepts
Theorems
Examples
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Contents
Definition
The singular cohomology (also Betti cohomology) of a topological space $X$ is the cohomology in ∞Grpd of its fundamental ∞-groupoid $\P... | 4 | [
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0.00080108... | 43,447 | 43447 | |
RP 4: More on the movie Up! (or Upper)
So, analysis of the movie Up is pretty popular in the blogosphere. Figure I might as well surf the popularity wave. So, I have a couple more questions.
The most important thing to estimate is the mass of the house. I am going to completely ignore the buoyancy of the house. I figu... | 4 | [
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-0.084472... | 43,448 | 43448 | |
The Logic S
Here is a Hilbert-style axiomatisation of the logic S (for “syllogism”).
Our language contains propositional variables, parentheses and one connective: implication.
Axiom Scheme Axiom Name
1. (B→C) →((A→B) →(A→C)) Prefixing
2. (A→B) →((B→C) →(A→C)) Suffixing
Rule ... | 4 | [
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-0.0869140625,
-0.... | 43,449 | 43449 | |
GRADE 12 PRE-CAL IDENTITIES
October 29th 2008, 08:22 PM #1
Newbie
Joined
Oct 2008
Posts
1
GRADE 12 PRE-CAL IDENTITIES
question is:
sin(3x) = 3sinx-4sin³x
there is a clue..
it's that sin(3x)=sin (2x+x)
please help!! and as fast as possible!!
message me or whatever is possible!
... | 4 | [
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0.11328125,
-0.... | 43,450 | 43450 | |
For what values of the parameter does this function have an elementary anti-derivative?
up vote 1 down vote favorite
1
I am a grad student working on some independent research trying to derive some exact formulas for a particular class of power series. During my study I came across the following integral which would
l... | 5 | [
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lax-idempotent 2-monad
Context
2-category theory
Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
Contents
Idea
A lax-idempotent 2-monad encodes a certain kind of property-like structure that a category, or more g... | 4 | [
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0.016357421875,
... | 43,452 | 43452 | |
How to solve this second order Diff. Equation.
September 22nd 2011, 08:28 PM #1
Member
Joined
May 2009
Posts
211
How to solve this second order Diff. Equation.
I took a course on ODE last year, but I do not remember seeing something of this sort:
(d^2V/dx^2)= N/sqrt(V) Here V is in terms of x, and N... | 5 | [
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0.080078125,
0.0483398437... | 43,453 | 43453 | |
Show a linear operator is not compact
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
For $f\in L^2(0,\infty),$ define $(Tf)(x)=x^{-1}\int_0^x f(s)ds,$ for $x\in(0,\infty),$ then from hardy's inequality, $T\in B(L^2),$ my ... | 5 | [
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0.05322265625,
-0.0473... | 43,454 | 43454 | |
CS Introduction
P573
Scientific Computing
Lecture 13:
N-Body Problem
Peter Gottschling
pgottsch@cs.indiana.edu
www.osl.iu.edu/~pgottsch/courses/p573-06
Based on slides from UC Berkeley
www.cs.berkeley.edu/~demme... | 4 | [
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0.0025177001953125,
0.068359375,
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0.06982421875,
-0.0... | 43,455 | 43455 | |
Mathematical Induction for Fibonacci sequence
November 30th 2010, 01:18 PM
hellfire127
Mathematical Induction for Fibonacci sequence[SOLVED]
Ok, this looks different from my other problems with inductions.
Suppose Fn, n is greater or equal to 0 is the Fibonacci sequence (i.e. F0=F1 = 1, and Fn = Fn-1 + Fn-2 ... | 5 | [
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two tetrahedra in R^4
up vote 42 down vote favorite
17
It is relatively easy to show (see below) that if we have two equilateral triangles of side 1 in $R^3$, such that their union has diameter 1, then they must share a vertex. I wonder whether we have
an analog of this in higher dimensions. To start with 4 dimensions... | 5 | [
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Matrix Problem
October 31st 2009, 01:55 PM #1
Junior Member
Joined
Aug 2009
Posts
47
The question is, Solve the equation!
I think I have solved the first part...
x = 8
y = -1
z = 3
But then they say that the answer has to be written as;
Where a,b,c,d,e,f,g,h have t... | 5 | [
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-0.02368164062... | 43,458 | 43458 | |
Double Galaxies - Igor Karachentsev
4.4. Individual and Orbital Masses of Double Galaxies
A remarkable observational discovery in the dynamics of galaxies in recent years has been the identification of non-Keplerian rotation in the peripheral regions of many galaxies (Shostak and
Rogstead, 1973). The prevalence of suc... | 4 | [
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0.0050048828125... | 43,459 | 43459 | |
The Minkowski Bound
The Minkowski Bound August 16, 2007
Posted by Noah Snyder in Mathcamp, Number theory.
trackback
Since Ben is being frivolous I’m going to try to pick up the math blogging. I’m finally back in Berkeley (after a delightful afternoon at coblogger David’s new apartment in Boston).
The last week at Ma... | 4 | [
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Math Forum Discussions - Re: Dimension of the space of real sequences
Date: Nov 14, 2012 5:19 AM
Author: quasi
Subject: Re: Dimension of the space of real sequences
José Carlos Santos wrote:
>
>Can someone please tell me how to prove that the real vector
>space of all sequences of real numbers has uncountable
>dimens... | 5 | [
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Demazure, lectures on p-divisible groups, III.6, Dieudonné modules (p-torsion finite k-groups)
This entry is about a section of the text
Recall from relation of certain classes of k-groups? the following:
1. $Feu_k$ denotes the category of formal étale unipotent affine $k$-groups.
2. $Fiu_k$ denotes the category o... | 4 | [
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Tannakian construction of the fundamental group and Kapranov's fundamental Lie algebra
Tannakian construction of the fundamental group and Kapranov’s fundamental Lie algebra March 17, 2008
Posted by Joel Kamnitzer in D-modules, differential geometry.
trackback
This post is a report on a talk that Mikhail Kapranov gav... | 4 | [
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Posts by
Total # Posts: 26,863
Alegbra
I suspect a typo
math
ummh, that would be (0,0) You should know the properties of this , the simplest form of the equation of a circle.
Math 117
done, check back on your previous post of this
Math 117
I interpret (fg)(x) as (-6x-1)(4x^2) = -24x^3 - 4x^2
Math 117
I bet you me... | 5 | [
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... | 43,464 | 43464 | |
linear systems help
August 24th 2009, 10:27 AM #1
Newbie
Joined
Aug 2009
Posts
2
linear systems help
Hello,
Can anyone help me with this problem.
Find the λ for which the system has a unique solution
x + y + λz =1
x +λy + z = 1
λx +y + z = 1
Thanks
The system will have a u... | 5 | [
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-0.... | 43,465 | 43465 | |
Verstraete Quantum Computing Control and Communication
Quantum Information Theory
and Strongly Correlated Quantum Systems
Frank Verstraete
University of Vienna
... | 4 | [
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... | 43,466 | 43466 | |
Resultant of Coplanar Forces
When a number of coplanar forces are acting on a rigid* body, then these forces can be replaced by a single force which has the same effect on the rigid body as that of all the forces acting
together, then this single force is known as the resultant of several forces. Hence a single force w... | 4 | [
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-0.00... | 43,467 | 43467 | |
Alternatives to the Big Bang - G.F.R. Ellis
Annu. Rev. Astron. Astrophys. 1984. 22: 157-184
Copyright © 1984 by . All rights reserved
2.2. Basic Equations
The standard results rest on three pillars: the conservation equations, the Raychaudhuri equation, and the energy conditions. The form of these equations dep... | 4 | [
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-0.0... | 43,468 | 43468 | |
Bounded linear operator
June 1st 2011, 08:54 PM #1
Junior Member
Joined
Apr 2011
Posts
35
Bounded linear operator
Question
Show that the range $\mathcal{R}(T)$ of a bounded linear operator $T: X \rightarrow Y$ is not necessarily closed.
Hint: Use the linear bounded operator $T: l^{\infty} \righta... | 5 | [
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0.0169677734375,
-0.09277... | 43,469 | 43469 | |
Rolle's theorem and open interval
July 11th 2012, 01:55 PM
loui1410
Rolle's theorem and open interval
Prove: if $f(x)$ is differentiable on the open interval $(a,b)$ and $\lim_{x\to a+}f(x) = \lim_{x\to b-}f(x)$ then there exists $c$ in the interval such that $f'(c)=0$.
It's almost clear that I need to use ... | 5 | [
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... | 43,470 | 43470 | |
compact quotient
up vote 10 down vote favorite
3
Let X be a topological space that is not too bad (let's say "not too bad" = "compactly generated Hausdorff"), and let ∼ be an equivalence relation such that X /∼ is compact Hausdorff.
Does there exist a compact subspace A⊂X that meets every equivalence class of ∼?
(Thi... | 5 | [
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... | 43,471 | 43471 | |
For which natural numbers n do there exist nonnegative integers x and y such that...
November 29th 2011, 08:26 PM #1
Junior Member
Joined
Nov 2011
Posts
26
For which natural numbers n do there exist nonnegative integers x and y such that...
For which natural numbers n do there exist nonnegative integers ... | 4 | [
-0.027099609375,
0.07421875,
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0.0107421875,
-0.023803... | 43,472 | 43472 | |
Stealth in SpaceStealth in Space
While doing some poking around online, I came across a website called Project Rho, which tries to provide some science background for science fiction writers who want some degree of technical
accuracy in their imaginative work. Generally it looks like they’re on the right track.
In the... | 4 | [
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0.07568359375,
-0.076660... | 43,473 | 43473 | |
Partitioning an open interval
October 31st 2008, 07:25 PM
Jes
Partitioning an open interval
I need to prove that every bounded open interval in $\mathbb{R}$ is a union of disjoint open sets. Not sure, but here's what I got:
Let $(a,b)$ be an open interval and let $x,y \in (a,b)$ with $x ot = y$ and assume $... | 5 | [
-0.000484466552734375,
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-0.0185546875,
0.09375,
-0.0267333984375,
-0... | 43,474 | 43474 | |
Tricky Gauss Integral problem
Hi, I am having difficulty getting to the end with this one...see attached Thanks
Keep in mind that $\displaystyle\int_{-\infty}^{\infty}e^{-ax^2}\,dx=\sqrt{\frac{\pi}{a}}$. (*) I take it you mean the original problem is $\displaystyle\int_{-\infty}^{\infty}\exp\left(-\left[\frac
{1}{4a}+... | 5 | [
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-0.0305... | 43,475 | 43475 | |
Second-order differential equations
8.6 Second-order differential equations
General form
A second-order ordinary differential equation is a differential equation of the form
G(t, x(t), x'(t), x"(t)) = 0 for all t,
involving only t, x(t), and the first and second derivatives of x. We can write such an equation i... | 5 | [
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0.05126953125,
-0.040283203125,
-0.00482177734375,
-0... | 43,476 | 43476 | |
Axiom to exclude nonstandard natural numbers
up vote 4 down vote favorite
2
In Peano Arithmetic, the induction axiom states that there is no proper subset of the natural numbers that contains 0 and is closed under the successor function. This is intended to rule out the
possibility of extra natural numbers beyond the ... | 4 | [
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0.02978515625,
... | 43,477 | 43477 | |
Venn diagram
May 19th 2007, 08:24 AM #1
Newbie
Joined
May 2007
Posts
10
Venn diagram
can someone please tell me if am doing this question right
in a set of 35 people, 23 are wearing hats, 25 are wearing gloves and 30 are wearing either hats or gloves.
how many people are wearing:
(i) both ... | 4 | [
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0.02783203125,
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0.08837890625,
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APPARATUSES AND METHODS FOR TRANSMISSION AND RECEPTION IN A CODEBOOK BASED CLOSED-LOOP (CL)-MULTIPLE INPUT MULTIPLE OUTPUT (MIMO) SYSTEM
Patent application title: APPARATUSES AND METHODS FOR TRANSMISSION AND RECEPTION IN A CODEBOOK BASED CLOSED-LOOP (CL)-MULTIPLE INPUT MULTIPLE OUTPUT (MIMO) SYSTEM
S... | 4 | [
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0.01806640625,
-0.03515625,... | 43,479 | 43479 | |
Borel sets preserved under open maps?
up vote 9 down vote favorite
Given open map f: $R^n$ to $R^n$ such that each open set $U\in R^n$, $f(U)$ is also open. Are Borel sets in $R^n$ preserved under f?
Motivation: Pre-image of Borel sets under continuous map is a Borel set in $R^n$.
The problem of the analogous statem... | 5 | [
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-0.0242919921875,
-0.05444... | 43,480 | 43480 | |
t
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Justifications that e^i = cos(
e^i x = COs( x ) + i sin( x )
Justification #1: from the derivative
Consider the function on the right hand side (RHS)
f(x) = COs( x ) + i sin( x )
Differentiate this function
f ' (x) = -sin( x ) + ... | 5 | [
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0.07568359375,
-0.098... | 43,481 | 43481 | |
Finding A Delta For A Given Epsilon
May 31st 2012, 07:22 AM
ArcherSam
Finding A Delta For A Given Epsilon
I need help finding the delta for a given epsilon. I tried to solve by using algebra but I hit a wall. (Headbang)
$f(x)=2-\frac{1}{x}\\0<|x-1|<\delta\\|f(x)-1|<0.1\\|(2-\frac{1}{x})-1|<0.1\\|2-\frac{1}{... | 5 | [
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0.0810546875,
-0.095703125,
0... | 43,482 | 43482 | |
Implicit Partial Deriviative
April 19th 2008, 02:47 PM #1
Newbie
Joined
Apr 2008
Posts
24
Implicit Partial Deriviative
Stuck on this one also
Given that y=y(x,z) is defined implicitly by the relation
$y^3 + z\sqrt{x} - ln(xz^{2}-y) = \frac{16}{x^2} +24$
compute $\frac{dy}{dz}$ at the point... | 5 | [
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0.01043701171875,
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-0.00175476074... | 43,483 | 43483 | |
Graphing a Rational Function
January 26th 2011, 05:10 PM #1
Newbie
Joined
Jan 2011
Posts
16
Graphing a Rational Function
Graph the Following:
f(x)= (x^3-4x^2+x+6)(x-3)/(x^2-4x+3)
Show All asymptotes, holes, and intercepts and show the table of values you used to graph the function. Pay attention... | 4 | [
-0.0012359619140625,
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0.0361328125,
0.0206298828125,
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0.034912109375,
0.02734375,
-0.01251220703125,
0.048583984375,
0.007293701171875,
... | 43,484 | 43484 | |
PHYSICS 121 Experiment 8
__________________________________________________________________________
The Mechanical Equivalent of Heat
The purpose of this lab is to measure the conversion factor between mechanical energy and heat energy.
Equipment
1 1 1 1 1 1 1 1 1 spring balanc... | 4 | [
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0.05126953125,
-0.047607421875,
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-0.039794921875,
-0.0179443359375,... | 43,485 | 43485 | |
coin flips
Saturday, March 28th, 2009
Say you want to flip a perfect coin, but the only coins available are imperfect. First, let’s consider the case where we don’t know the details of the available coins, and would prefer not to measure
them.
The simplest strategy is to flip a bunch of coins and determine whether th... | 4 | [
-0.04931640625,
0.0294189453125,
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0.015625,
0.0693359375,
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0.002166748046875,
0.011474609375,
0.0257568359375,
-0.07275390625,
0.000751495361328125,
-... | 43,486 | 43486 | |
Coefficients of Slip in Gases and the Law of Reflection of Molecules from the Surfaces of Solids and Liquids
Millikan, R. A. (1923) Coefficients of Slip in Gases and the Law of Reflection of Molecules from the Surfaces of Solids and Liquids. Physical Review, 21 (3). pp. 217-238. ISSN 0031-899X. http://
resolver.caltech... | 4 | [
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-0.053466796875,
-0.049072265625,
0.052978515... | 43,487 | 43487 | |
Volatility and Correlation
July 19, 2012
By quantsignals
The implied option volatility reflects the price premium an option commands. A trader’s profit and loss ‘P&L’ from hedging option positions is driven to a large extend by the actual historical
volatility of the underlying assets. Thus as option premiums are dr... | 4 | [
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0.064453125,
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0.01397705078125,
0.0134277343... | 43,488 | 43488 | |
Introduction To Management Science With Student... Textbook Solutions | Chegg.com
3.S3 Cutting Stock Problem
Decora Accessories manufactures a variety of bathroom accessories, including decorative towel rods and shower curtain rods. Each of the accessories includes a rod made out of stainless steel.
However, many diff... | 5 | [
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Concentration of sum of independent random variables
up vote 2 down vote favorite
1
Let $X_1, ..., X_n$ be i.i.d. sub-Gaussian random variables with mean $0$ and variance $1$. That is, we have $Pr[|X_i| > t] \leq \exp(1-t^2/K^2)$ for all $t>0$ and a parameter $K$.
Then we can use Bernsein-type inequalities to prove d... | 4 | [
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... | 43,490 | 43490 | |
Physics Ch 6
Ph Ch 6 Define Law of universal gravitation
everybody in the universe attracts every other body w/ a force that, for two bodies, is directly proportional to the product of their masses and inversely proportional to the square of the distance
separating them: (hand write the equation on here)
Ph Ch 6 Defi... | 4 | [
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0... | 43,491 | 43491 | |
Extension fields
September 19th 2010, 05:15 AM #1
Member
Joined
Mar 2010
Posts
122
Extension fields
is √7 ∈ Q((5+√7)^(1/2)
Using:
[E:G]=[E:F][F:G]
This gives me that the dimension of Q((5+√7)^(1/2) as a vector space over Q(√7 ) is 2.
But i don't know if the irreducible polynomial of de... | 4 | [
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0.011... | 43,492 | 43492 | |
Circuit Analysis
March 1st 2011, 12:16 PM
quantoembryo
Circuit Analysis
I'd like to apologize for not finishing yesterday, as my computer was not cooperating. Anyways, he we go:
Consider the following circuit. Using superposition determine a) the magnitude and b) the direction of the current going through $... | 5 | [
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... | 43,493 | 43493 | |
cinfidence interval help
May 13th 2009, 12:18 AM #1
Member
Joined
Dec 2008
Posts
154
cinfidence interval help
Consider independent random samples from two exponential distributions $X_i \sim Exp(\theta_1)$ and $Y_j \sim Exp(\theta_2)$; $i=1,2,...,n_1$ , $j=1,2,....n_2$.
a) show that $(\theta_2/\theta... | 4 | [
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-0.04... | 43,494 | 43494 | |
Need help differentiating an expression. Answer is given just unsure of the steps.
November 11th 2011, 03:00 PM #1
Newbie
Joined
Nov 2009
Posts
15
Need help differentiating an expression. Answer is given just unsure of the steps.
Hello, this problem states to differentiate the expression with respect to ... | 5 | [
0.0625,
0.024169921875,
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0.0703125,
-0.1611328125,
0.07... | 43,495 | 43495 | |
analytics geometry
September 23rd 2012, 07:25 AM #1
Newbie
Joined
Sep 2012
From
kajang
Posts
5
analytics geometry
can help me solve this question ? thanks much !
show that ,for all values of p ,the point p given by x=ap^2 ,y=2ap lies on the curve y^2=4ax .
a)find the equation of the ormal to... | 4 | [
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0.07958984375,
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0.10400390625,
-0.030029296875,
-0.03... | 43,496 | 43496 | |
Markov Chain
May 5th 2012, 07:14 PM
liedora
Markov Chain
Hi Guys, just need a bit of help with this question. Suppose we have P = [0 1/2 1/2; 1 0 0; 1 0 0] and let Q_0=[x y z] where x,y,z >= 0 and x+y+z = 1.
How would I find Q_(2n) and Q_(2n-1), that is the state distribution after an even or odd number of... | 5 | [
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0.00750732421875,
-0.0468... | 43,497 | 43497 | |
If the equation x^2−4x + k =1 has no real roots, then the range of values of k is
A. k >4
B. k >=4
C. k >5
D. k >=5 - Homework Help - eNotes.com
If the equation x^2−4x + k =1 has no real roots, then the range of values of k is
A. k >4
B. k >=4
C. k >5
D. k >=5
The quadratic equation `ax^2+bx+c = 0` has three kinds... | 4 | [
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-... | 43,498 | 43498 | |
Calculus Class Bonus Question
April 1st 2009, 12:23 PM #1
Newbie
Joined
Apr 2009
Posts
5
Calculus Class Bonus Question
My teacher gave us this bonus question (said getting help was fine as long as we understand the solution), but I think I'm stumped.
"Let f(x) = 1 / sqrt(x)
Determine a function ... | 5 | [
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0.0322265625,
-0.00653076171875,
-0.04... | 43,499 | 43499 |