content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Building Structure in Category Theory: Definitions to Build On
The thing that I think is most interesting about category theory is that what it’s really fundamentally about is structure. The abstractions of category theory let you talk about structures in an
elegant way; and category diagrams let you illustrate struct... | 4 | [
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0.10888671875,... | 19,000 | 19000 | |
Vectors and planes
January 21st 2008, 03:10 AM #1
Member
Joined
Sep 2007
Posts
198
Vectors and planes
Find the point of intersection of the line through the points (2, 0, 1) and (-1, 3, 4) and the line through the points (-1, 3, 0) and (4, -2, 5). Calculate the acute angle between the two lines.
How... | 4 | [
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Measurability of sets of pairs
up vote 5 down vote favorite
1
Suppose $(X,\mathcal{B},\mu)$ is a measure space, and let $B\subseteq X^2$ be an arbitrary set.
1) Is there a nice characterization of the circumstances under which there is a $\sigma$-algebra $\mathcal{C}\supseteq\mathcal{B}$ and a measure $\nu$ on $\math... | 5 | [
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Patent US4598382 - Multiplying circuit
BACKGROUND OF THE INVENTION
This invention relates to a parallel type multiplying circuit for multiplying binary numbers of a plurality of bits with each other.
In general, the product of binary numbers is found by finding a partial product of a multiplicand in each digit and a ... | 4 | [
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Patente US6635948 - Inductors arranged so that different pairs of inductors are electrically coupled to one another; power splitters and combiners using such coupled inductors
BACKGROUND OF THE INVENTION
This invention relates to an integrated circuit structure having a plurality of inductors arranged so that differen... | 4 | [
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Patent US6636574 - Doppler spread/velocity estimation in mobile wireless communication devices and methods therefor
Publication number US6636574 B2
Publication type Grant
Application number US 09/871,116
Publication date Oct 21, 2003
Filing date May 31, 2001
Priority date May 31, 2001
Fee status ... | 4 | [
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Graph Involving Linear Equation on degrees
February 25th 2010, 11:13 AM #1
Member
Joined
Jan 2010
Posts
142
Graph Involving Linear Equation on degrees
Ok here is the Problem.
Weather Temperature. The National Oceanic and Atmospheric ADministration (NO) has an online cconversion chart that relates de... | 4 | [
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integral help
October 26th 2009, 03:56 PM #1
Newbie
Joined
Oct 2009
Posts
10
integral help
The problem is:
int (1+sinx)/(1-sin)dx
I tried doing this:
Let u=sinx, x=sin^(-1)u, so dx= du/sqrt(1-u^2)
Then I got
integral of (1+u)/(1-u)*(du)/(sqrt(1-u^2))
which is equal to
integr... | 5 | [
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Relative Bicommutant
up vote 5 down vote favorite
1
If $A \subseteq \mathcal B(\mathcal H)$ is an algebra of operators that is closed under adjoint, then its bicommutant $A''$ is a von Neumann algebra, and is the ultraweak closure of $A$; this is one
version of von Neumann's bicommutant theorem. Does the theorem hold ... | 5 | [
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Predicates and quantifier ..
please if can give me the steps to solve this question ..
Apparently this is a multiple choice question, judging from your other posts (which make it clearer). But still, the wording is a bit puzzling. By domain of Q, do mean the extension of Q? If so, then
what is the domain under discuss... | 5 | [
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finding work by integrals
March 23rd 2009, 10:57 AM #1
Junior Member
Joined
Jan 2009
Posts
58
finding work by integrals
Find the work done by the force F from (0,0,0) to (1,1,1) over the following path:
The path of the line segment from (0,0,0) to (1,1,0) followed by the line segment from (1,1,0) to... | 5 | [
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Confused about basic probability
November 11th 2009, 10:44 PM #1
Newbie
Joined
Mar 2009
Posts
9
Confused about basic probability
A box contains 5 white balls, 3 red balls and 2 green balls.
The balls are taken from box. With replacement and taking a total of 3 balls,
P(all balls have different ... | 4 | [
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LinAlg - Determinants/Adjoints?
December 4th 2008, 11:08 AM #1
Newbie
Joined
Oct 2008
Posts
13
LinAlg - Determinants/Adjoints?
If A is 3x3 and detA=2, then det(A^-1-(adjA)) = ?
I know that the answer is -(1/2)
and my teacher did it on the board, saying that adjA=(detA)(A^-1)
but I don't und... | 4 | [
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Pareto distribution
From Wikipedia, the free encyclopedia
Pareto
Probability density function
Pareto probability density functions for various α with x[m] = 1. The horizontal axis is the x parameter. As α → ∞ the distribution ... | 4 | [
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Simplify expression
Any help would be appreciated... thanks a2b __________ ab2 – a1/2 b3
a2b __________ ab2 – a1/2 b3 -- Is a2b $a^2b$ or just a(2b)? - Please use paranthesis and ^ signs for exponents, so it is easier to read.
I'd suspect $\frac{a^2b}{ab^2+b^3\sqrt{a}}$ As it happens you can factor $\sqrt{a}$ and $b^... | 4 | [
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Christoffel symbols from definition or Lagrangian
Hi, noospace, I seem to have lost track of this thread, hence my tardiness.
noospace
I'm borrowing my notation from Do Carmo `Differential Geometry of Curves and Surfaces', it's a text on classical differential geometry.
Right, unfortunately I don't have it front o... | 4 | [
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Certain and Curious Number Sequence
ramsey2879
You present 2 interesting sequences, but how is one consequential to the other? I can't seem to be able to read between the lines!
EDIT: I just noticed something on reflection that, being me, I got wrong in the OP. If you end up with two or more repeats of output eleme... | 5 | [
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Inequality question.
December 6th 2009, 04:53 PM #1
Senior Member
Joined
Jul 2006
Posts
364
Inequality question.
I know this isn't strictly a Pre-Uni question, but it only involves basic algebra as far as I can tell.
Given the following picture:
---------
I don't understand why $(x_1-x_2)^2... | 4 | [
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Independent events
I am given that $P(A) >0, P(B) >0, P(C) > 0$ (strictly greater) and
$P(B)P(C) = \frac{P(B \cap C)P(A \cap B)}{P(A \cap (B \cap C))} + \frac{P(B \cap C^{C})P(A \cap B)P(C)}{P(A \cap (B \cap C^{C})P(C^{C})}$
I am to deduce whether B and C could be independent.
I am thinking no.
... | 4 | [
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Time for an object to fall to a larger one
I'm assuming you're talking about a body whose mass is much smaller than the Earth's, dropped with zero velocity from an arbitrary distance from the Earth. If so, please check out
this article
or
this one
. Basically the body follows a degenerate ellipse trajectory, simila... | 4 | [
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Determine if the following converges or diverges
On a 2nd thought, 1/x works, but is a little involved.
a. For 1 < x < 2.5, 0 < ln(x)/Sqrt(x^2-1) < 1/x.
b. For x > 2.5, ln(x)/Sqrt(x^2-1) > 1/x.
Fact "a" is inconvenient because it seemingly precludes a direct comparison with 1/x (our hope for a divergence result). So... | 5 | [
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Improper Integrals
October 13th 2011, 01:03 PM
kashmoneyrecord3
Improper Integrals
Hey guys, I have a question about improper integrals.
For example lets say the question is 1/(x-2)^3/2 dx and the interval is between infinity and 3.
How would I be able to determine if its convergent or divergent and if... | 5 | [
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-... | 19,021 | 19021 | |
Which answer is correct?
March 24th 2012, 03:54 AM #1
Member
Joined
Sep 2011
From
india
Posts
106
Thanks
2
Which answer is correct?
Evaluate $\int \frac{dx}{sin(x)+sin(2x)}$ Wolfram alpha gave me this answer $-\frac23log\left(\frac{3-tan^2\frac x2}{\sqrt tan\frac x2\right)}+c.$ When I solved this... | 5 | [
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Fourier series - help needed with an integral.
May 17th 2011, 04:55 AM #1
Member
Joined
Sep 2010
Posts
149
Thanks
3
Fourier series - help needed with an integral.
f(x) = {0 -π/2 < x < 0
{ sinx 0 <= x <= π/2
a0= 2/π [ ∫ 0 dx + ∫ sin x dx]
= 2/π [ -cosx ] from π/2 to 0
= 2/π
an =... | 5 | [
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Derivative of 3cos^5x.
May 8th 2010, 01:08 AM #1
Newbie
Joined
May 2010
Posts
2
Derivative of 3cos^5x.
hi, my first post so pls be gentle!
HNC maths question driving me mad as must be doing something stupidly wrong.
3cos^5x is the question and result should be -15sinx cos^4x
i must be doing s... | 5 | [
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Integration/ Differentiation
Use the derivative of cosθ to show that d/dθ ( secθ)= secθ tan θ attempt: d/dθ( cosθ) = -sinθ ...
The best way to go about proving that is to use the quotient rule. If $f(x)=\frac{g(x)}{h(x)}$, then $f'(x)=\frac{g'(x)h(x)-g(x)h'(x)}{h(x)^2}$ Plug in $g(x)=1$ and $h(x)=cos(x)$
Just in case... | 5 | [
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0.0... | 19,025 | 19025 | |
Math Help
March 3rd 2010, 01:19 PM #1
Newbie
Joined
Mar 2010
Posts
7
Minimum
A 384 - square meter plot of land is to be enclosed by a fence and divide into two equal parts by another fence parallel to one pair of sides. What dimensions of the outer rectangle will minimize
the amount of fence used?
... | 5 | [
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Brevet US3974449 - Joint decision feedback equalization and carrier recovery adaptation in data transmission systems
FIELD OF THE INVENTION
This invention relates to the correction of the distorting effects of transmission media of limited frequency bandwidth on digital data signals and in particular to the joint adap... | 4 | [
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0.0169677734375,
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0.04736328125,
0.058837890625,
-0.1484375,
-0.0016326904296875,
-0.01434326171875,
0.05810546... | 19,027 | 19027 | |
Pascals triangle...?
May 1st 2008, 04:49 AM
caitie
Pascals triangle...?
hey, this is my problem:
Expand (a+b)^0, (a+b)^1, (a+b)^2, etc
(a+b)^0 = 1
(a+b)^1 = a + b
(a+b)^2 = a^2 + 2ab + b^2
(a+b)^3 = a^3 + 3a^(2)b + 3a(b^2) + b^3
(a+b)^4 = a^4 + 4(a^3)b + 6(a^2)(b^2) + b^4
I can see... | 4 | [
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0.0218505... | 19,028 | 19028 | |
How many five digit integers (10,000-99,999) are divisible by 5?
When I did it I got 2000*10-2000=18000. But I was marked wrong but cant see where I went wrong.
The minimum is $10000$ and the maxumum is $99995$ so the total number is : $\frac{99995-10000}{5} + 1$ $= 18000$
Maybe it was not the final answer that was m... | 4 | [
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0.09375,
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0.040283203125,
-0.01672363281... | 19,029 | 19029 | |
Energy
October 26th 2009, 02:30 PM
WhoCares357
Energy
Quote:
Each second, 1250 m3 of water passes over a waterfall 115 m high. Three-fourths of the kinetic energy gained by the water in falling is transferred to electrical energy by a hydroelectric
generator. At what rate does the generator produce elec... | 4 | [
-0.0751953125,
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0.045654296875,
-0.041015625,
0.0296630859375,... | 19,030 | 19030 | |
Math Help
March 10th 2007, 08:02 PM #1
Newbie
Joined
Nov 2006
Posts
10
Limits
for the function g(x) = rx^2 if x<or=12 and 4x + r if x>12, determine a value for r that makes g(x) continous
What formula do you use to get r
ok, so i'm only about 98% sure that this is the way to go about a solutio... | 4 | [
0.03369140625,
0.04345703125,
-0.09375,
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0.0107421875,
0.01031494... | 19,031 | 19031 | |
Linear Independent and Dependent
January 24th 2010, 02:11 AM #1
Super Member
Joined
Dec 2008
Posts
509
Linear Independent and Dependent
I need help understanding why the following is not linearly dependent
a= $\left[ \begin{array}{cccr}4\\1\\3\\\end{array} \right]$
b= $\left[ \begin{array}{cccr}... | 5 | [
-0.0281982421875,
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-0... | 19,032 | 19032 | |
Design of Combined Sliding Mode Controller Back Stepping Using Genetic Algorithm
Journal of Engineering
Volume 2013 (2013), Article ID 614803, 6 pages
http://dx.doi.org/10.1155/2013/614803
Research Article
Design of Combined Sliding Mode Controller Back Stepping Using Genetic Algorithm
Department of Electrical Engi... | 4 | [
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0.0... | 19,033 | 19033 | |
Physics Forums - View Single Post - How does GR handle metric transition for a spherical mass shell?
At the risk of hijacking the thread (which seems hopelessly confused anyway), I do have a specific problem along the lines of boundary conditions - one I think I solved correctly, that I presented
earlier. I think ther... | 4 | [
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0.06787109375,
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0.0281982421875,
-0.034... | 19,034 | 19034 | |
Interpolation Polynomials of Entire Functions for Erdös-Type Weights
Journal of Mathematics
Volume 2013 (2013), Article ID 467351, 5 pages
http://dx.doi.org/10.1155/2013/467351
Research Article
Interpolation Polynomials of Entire Functions for Erdös-Type Weights
^1Science Division, Center for General Education, Aich... | 5 | [
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I need help with polynomial
April 12th 2007, 12:06 AM #1
dayla
Guest
I need help with polynomial
There are two problems that i just am not sure about can someone please help me. It says
Find tthe follow for f(X)=x^4-8x^2+15
Approximate all the real zeros to the nearest hundredth
also i have one mor... | 4 | [
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0.08203125,
0.00640869140625,
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... | 19,036 | 19036 | |
Patente US6549058 - Signal processing circuits for multiplication or division of analog signals and optical triangulation distance measurement system and method incorporating same
FIELD OF THE INVENTION
The present invention relates generally to a signal processing circuit and method for generating signals representin... | 4 | [
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-0.00860595703125,
-0.02587890625,
0.04833984375... | 19,037 | 19037 | |
Buoyancy force of a hot-air balloon
Register to reply
by smeiste
Tags: balloon, buoyancy, force, hotair
P: 36 1. The problem statement, all variables and given/known data
The envelope and basket of a... | 4 | [
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-0.0000939369... | 19,038 | 19038 | |
Indexed Union of Countably Infinite Sets
March 21st 2011, 12:34 PM
lfroehli
Indexed Union of Countably Infinite Sets
Prove that if $\Lambda$ is countably infinite and $B_{\lambda}$ is countably infinite for each $\lambda \in \Lambda$, then $\bigcup_{\lambda \in \Lambda}B_\lambda$ is countably infinite.
I wa... | 4 | [
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0.0235... | 19,039 | 19039 | |
deriving fluid mechanics equations
November 22nd 2009, 08:15 AM
phycdude
deriving fluid mechanics equations
her0'es a question on fluid mechanics:
i need help in showing how to arrive at the expressions
3 a)
Air obeying Boyles law [imath] p=k \rho [/imath] is in motin in a uniform tube of small
... | 4 | [
-0.03564453125,
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0.07080078125,
-0.07958984375,
-0.032470703125,
-0.0576171875,
-0.02917480... | 19,040 | 19040 | |
Is a Sample Size of n=6 a 'Magic' Number? - Pharmaceutical Technology
Manufacturers rely upon analytical chemists to carry out analysis and testing of samples to ensure products conform to specifications and to predict the properties of the batch or lot based on the
analysis of a sample. Suppose for a moment that a sam... | 5 | [
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-0.033447... | 19,041 | 19041 | |
Parametrize this curve
Register to reply
by jakey
Tags: curve, parametrize
P: 51 1. The problem statement, all variables and given/known data
Parametrize the following equation using polar coordinates... | 4 | [
0.006561279296875,
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0.0537109375,
-0.12451171875,
-... | 19,042 | 19042 | |
Brevet US6904151 - Method for the estimation and recovering of general affine transform
CROSS-REFERENCE TO RELATED APPLICATIONS
In some embodiment this application refers to an extension of the described method to the recovering of local non-linear distortions in the U.S. Patent Application No. 60/327,097 filled by Sv... | 4 | [
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0.153... | 19,043 | 19043 | |
number/solution problem
August 18th 2008, 07:33 AM #1
number/solution problem
1.) The sum of the digits of a three digit number is 15. If the tenths digit are interchanged, the number is increased by 360. If the units digit is 1/4 of the sum of the hundreds and tens
digits, what is the number?
2.) A 90% ... | 4 | [
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-0.035888671875,
-0.14062... | 19,044 | 19044 | |
More general formula for integrals
use limits
$$\int \! x^k \, \mathrm{d}x=\lim_{a \rightarrow k+1} \frac{x^a}{a}+\mathrm{Constant}$$
That is a
removable singularity
. When we write it in terms of usual functions we appear to be dividing by zero, but we could define a new function without doing so. Other examples i... | 4 | [
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-0.07373046875,
0.0485... | 19,045 | 19045 | |
[SOLVED] Graphing systems of equations.
February 26th 2008, 09:53 AM #1
[SOLVED] Graphing systems of equations.
I've got a few questions that I believe I solved correctly but wanted to check on. I have graphed them and they seem to check out....
The questions, and my working for them, are as follows:
1... | 4 | [
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-0.0283203125,
0.09130859375,
-0.07958984375,
-0.07763671875... | 19,046 | 19046 | |
Quick and Accurate Estimation of Square Roots
Plus: Table of Squares up to 200²
There are several ways to calculate square roots by hand to any degree of accuracy that you desire. Common methods are the Babylonian algorithm and the long division technique.
Unfortunately, these methods are time-consuming to carry out... | 4 | [
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-0.035888671... | 19,047 | 19047 | |
When a player in a certain game tossed a coin a number of ti
Author Message
TAGS:
When a player in a certain game tossed a coin a number of ti [#permalink] 15 Jan 2008, 10:01
... | 4 | [
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Patente US7131052 - Algebraic decoder and method for correcting an arbitrary mixture of burst and random errors
CROSS-REFERENCE TO RELATED APPLICATION
The present application is related to co-pending U.S. patent application, titled “Multiple Level (ML), Integrated Sector Format (ISF), Error Correction Code (ECC) Encod... | 4 | [
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-0.039306640625,
0.12158203125... | 19,049 | 19049 | |
Another aeronautics problem
August 13th 2011, 03:34 PM
explodingtoenails
Another aeronautics problem
A hot air balloon rises at the rate of 70 feet per minute. An observer 410 feet from the place of ascent watches the balloon rise.
a) Write an expression for the altitude of the balloon in terms of time, t m... | 4 | [
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-0.06298828125,
0.01733... | 19,050 | 19050 | |
Index of 2 is equivalent to normal
November 26th 2007, 07:46 PM
epsilon
Index of 2 is equivalent to normal
Hello,
I have a homework problem which asks:
Let G be a group and let H be a subgroup of G.
(a) Show that if H is index 2 in G then H is a normal subgroup of G.
(b) Show that if H is a norm... | 4 | [
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0.01531982421875,
-0.010009765625,
-0.0115356... | 19,051 | 19051 | |
Modeling a lense using the intersection of two spheres
Hi everybody!
I am trying to model a lense shape using two circles of radii R and r, with one at the origin and the other offset upwards vertically by distance D. D must be less than R + r, but it must be greater
than the larger of R or r.
Thus, I have two equati... | 4 | [
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Breaking down tolerance stack-up
KARL MERKLEY
KEN CHASE
Brigham Young University
Provo, Utah
EDITED BY MARTHA K. RAYMOND
Tolerance variation in assemblies results from three sources: size, form, and kinematics. Size variation comes from inconsistent dimensional length. Form variation is due to geometric differences
... | 4 | [
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0.053... | 19,053 | 19053 | |
points on ellipse closest to a point
June 25th 2012, 04:32 AM #1
Newbie
Joined
Jun 2012
From
Norway
Posts
4
points on ellipse closest to a point
Hi
Can someone please help me with the following problem?
Find the points of the ellipse 4x^2 + 9y^2 =36 that are closest to the point (1,1), as w... | 4 | [
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0.0238037109375,
-0.07... | 19,054 | 19054 | |
Another line integral question....
November 20th 2009, 09:26 AM #1
Newbie
Joined
Oct 2009
Posts
22
Another line integral question....
Evaluate the line integral directly, WITHOUT using Green's theorem.
Integral of (x-y)dx+(x+y)dy where C is the circle with center the origin and radius 2.
I have... | 5 | [
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0.021728515625,
-0.083984375,
0.0225830078... | 19,055 | 19055 | |
Ecological Archives
Ecological Archives E086-055-A7
Colleen K. Kelly and Michael G. Bowler. 2005. A new application of storage dynamics: differential sensitivity, diffuse competition, and temporal niches. Ecology 86:1012 1022.
Appendi... | 4 | [
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0.036376953125,
0.060302734375,
0.0478515625,
0.0257568359375,
-0.032958984375,
-0.059814453125,
0.02783203125,
0.00701904296875,
0.11083984375,
0.0537109375,
-0.0966796875,
0.025634765625,
0.0252685546875,
-0.07421875,
-0.031005859375,
-0.036376953125,
-0.04296875,
-... | 19,056 | 19056 | |
evaluate the definite integral
December 3rd 2012, 09:38 AM #1
Senior Member
Joined
Nov 2012
From
Hawaii
Posts
260
Thanks
2
evaluate the definite integral
so at the very end when i integrated (2t + cost) i got (t^2 + sint)..... then i plugged in positive and negative Pi/2...
in which i got [(P... | 5 | [
0.001220703125,
0.044677734375,
0.019775390625,
-0.01336669921875,
0.003570556640625,
-0.03515625,
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0.1064453125,
0.028564453125,
0.023681640625,
0.0306396484375,
-0.035400390625,
0.00006437301635742188,
0.05224609375,
-0.06787109375,
-0.045166015625,
0.058837890625,... | 19,057 | 19057 | |
A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 818703, 11 pages
http://dx.doi.org/10.1155/2012/818703
Research Article
A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions
^1De... | 5 | [
-0.06787109375,
-0.018310546875,
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0.030517578125,
0.033935546875,
0.0026092529296875,
... | 19,058 | 19058 | |
sum of convergent series
December 9th 2010, 01:55 AM #1
Member
Joined
Oct 2010
Posts
127
sum of convergent series
Evaluate the sum of the convergent series [(-1)^n]/[(n+1)2^(2n+5)] as n goes from 0 to infinity.
Hint: Consider the function f(x) = (x^3)log(1+x^2)
Yes, consider it! What is the MacL... | 5 | [
-0.0026397705078125,
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-0.0250244140625,
0.043212890625,
-0.1279296875,
0.0179443359375,
0.0006942749023... | 19,059 | 19059 | |
Patent US5258940 - Distributed arithmetic digital filter in a partial-response maximum-likelihood disk drive system
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to a direct access storage device (DASD) of the type utilizing partial-response signaling and maximum-likeli... | 4 | [
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0.0439453125... | 19,060 | 19060 | |
th-Order Nonhomogeneous Markov Information Source
Journal of Probability and Statistics
Volume 2013 (2013), Article ID 645151, 6 pages
http://dx.doi.org/10.1155/2013/645151
Research Article
The Central Limit Theorem for th-Order Nonhomogeneous Markov Information Source
College of Mathematics and Information Science... | 5 | [
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0... | 19,061 | 19061 | |
99 questions/Solutions/26
From HaskellWiki
< 99 questions | Solutions
(Difference between revisions)
← Older edit Newer edit →
(One intermediate revision by one user not shown)
Line 63: ... | 5 | [
-0.025634765625,
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Solving for x with sin
August 6th 2009, 06:19 PM #1
Member
Joined
Sep 2007
Posts
81
Solving for x with sin
Hi all,
Any help here is appreciated, I'm just not sure how to get this problem started.
Solve for all possible values of x -
$\sqrt{2}\sin x + \sin 2x = 0$
Any points in the rig... | 4 | [
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... | 19,063 | 19063 | |
Weierstass's Excess Function - minimizing curve
October 10th 2010, 08:46 PM #1
Weierstass's Excess Function - minimizing curve
Using the Weierstass condition, find the strongly minimizing curve and the value of $J_{min}$ for the cases
$\displaystyle \int_1^2 (t^3 \dot{x}^2 + 3tx^2) \ dt$
where $x(1) = 0... | 5 | [
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0.014038085937... | 19,064 | 19064 | |
one more question
September 23rd 2008, 10:00 AM #1
Member
Joined
Oct 2007
Posts
89
one more question
I am not sure how to begin this one. Total outcomes would be 11!, so i was assuming with Mr and Mrs A sitting opposite 10!, but I think that is just them sitting apart. You will see what I mean.
Two ... | 4 | [
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-... | 19,065 | 19065 | |
Divide 4x^3 + 2x^2 + 10x - 7 by (x-5).
October 18th 2010, 03:51 AM
ejaykasai
Divide 4x^3 + 2x^2 + 10x - 7 by (x-5).
divide 4x^3 + 2x^2 + 10x - 7 by (x-5) using the long division..
this is polynomial method i think :/.. help please me.. :((Crying) i thought you will understand me.. :( thanks.. need the answe... | 5 | [
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0.044921875,
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0.039794921875,
-0.021484375,
0.091796875... | 19,066 | 19066 | |
Applications of differential equations questions
January 17th 2010, 12:11 AM #1
Newbie
Joined
Jan 2010
Posts
8
Applications of differential equations questions
Salt is dissolved in a tank filled with 120 litres of water. Salt water containing 20g of salt per litre is poured in at a constant rate of 3 lit... | 4 | [
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0.0236816... | 19,067 | 19067 | |
Fourier Series of Even Square Wave
1. The problem statement, all variables and given/known data
[itex]-0.5\leq{t}\leq{1.5}, T=2[/itex]
The wave is the attached picture.
I need to determine the Fourier Series of the wave in the picture.
I know that [tex]f(t)=a_0+{\sum}_{n=1}^{\infty}a_ncos(n\omega_0t)+{\sum}_{n=1}^{\i... | 5 | [
-0.1220703125,
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0.01275634765625,
-0.0247802734375,
-0.1... | 19,068 | 19068 | |
Substition vs completing the square on an irreducible polynimial of degree 4
August 13th 2012, 04:28 AM #1
Newbie
Joined
Aug 2012
From
Nairobi
Posts
8
Substition vs completing the square on an irreducible polynimial of degree 4
Find the all the roots of the polynomial x^4 + x^2 + 1.
The above is... | 4 | [
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-0.0583... | 19,069 | 19069 | |
Canonical Transformations
Background
For which of the invertible transformations [itex](\mathbf{q}, \mathbf{p}) \leftrightarrow(\mathbf{Q}, \mathbf{P})[/itex]
[itex]\mathbf{Q}(\mathbf {q}, \mathbf {p}, t)[/itex]
[itex]\mathbf{P}(\mathbf{q}, \mathbf {p}, t)[/itex]
is it so that for every Hamiltonian [itex]\mathcal{H}(\... | 4 | [
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0.0107421875,
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0.06298828125,
... | 19,070 | 19070 | |
Segment of a circle calculation
Basically, you can't find a finite expression for the inverse here.
However, various appoximative techniques might be used.
IF, for example, y is "sufficiently close to 0", a power series expansion about x=0 might zoom onto the solution fairly quickly.
To show how this might be done:
W... | 5 | [
-0.09521484375,
-0.0234375,
-0.0286865234375,
0.09375,
0.04736328125,
-0.0986328125,
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0.0654296875,
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... | 19,071 | 19071 | |
Math Help
October 2nd 2008, 03:43 AM #1
Ring
In the rings Z8 and Z6 find the units, zero divisors and nilpotent elements.
Recall that an element a in a ring is called nilpotent if an = 0R for some
positive integer n.
The units in $\mathbb{Z}_6$ are $[1],[5]$ since $\gcd(1.6)=\gcd(5.6)=1$. While $[2]... | 5 | [
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-0.043701171875,
0.00357055664... | 19,072 | 19072 | |
Open Sets
January 18th 2010, 07:50 AM
slevvio
Open Sets
I worked this out myself and I was wondering if somebody could help me and see if I have made any mistakes. It's a bit of a tautology since an open disc is called an open disc but I wanted to
prove this from my definition
Definition: $E \subseteq \... | 4 | [
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0.040771484375,
-0.09912... | 19,073 | 19073 | |
Give a basis of a subspace
February 9th 2009, 02:49 PM #1
Give a basis of a subspace
Hi MHF,
We have the following vectorial subspace $W$ pertaining to $\mathbb{R}^4$ such that $W=\{ (x,y,z,w) \in \mathbb{R}^4 : 2x-z+w=0, x-y-z=0 \}$.
1)Find a basis of W.
2)Find a basis of W orthogonal.
My attempt... | 5 | [
-0.021728515625,
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-0.05224609375,
0.022705078125,
0.0196533203125,
-0.001251220703125,
0.05224609375,
-0.00127410888671875,
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0.007354736328125,
0.0228271484375,
0.0189208984375,
-0.08984375,
0.025634765625,
-0.05297851... | 19,074 | 19074 | |
On Huygens' Inequalities and the Theory of Means
International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 597490, 9 pages
http://dx.doi.org/10.1155/2012/597490
Research Article
On Huygens' Inequalities and the Theory of Means
Department of Mathematics, Babeş-Bolyai University, St... | 5 | [
-0.049560546875,
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0.0267333984375,
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0.09326171875,
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0.019287109375,
-0.06982421875,
-0.0058288... | 19,075 | 19075 | |
The Prediction of Concrete Temperature during Curing Using Regression and Artificial Neural Network
Journal of Engineering
Volume 2013 (2013), Article ID 946829, 5 pages
http://dx.doi.org/10.1155/2013/946829
Research Article
The Prediction of Concrete Temperature during Curing Using Regression and Artificial Neural N... | 4 | [
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0.020263671875,
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-0.044921875,
-0.00... | 19,076 | 19076 | |
following numbers have a mean of 5, find the value of x
October 23rd 2011, 01:02 PM #1
Newbie
Joined
Oct 2011
Posts
11
following numbers have a mean of 5, find the value of x
Hi I need your help. I can't work out how to find X. I know how to find the cofficient of the variation if I knew what X was.
... | 4 | [
-0.00439453125,
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0.00518798828125,
-0.033447265625,
-0.051025390625,
-0.091796875,
0.00799560546875,
0.0... | 19,077 | 19077 | |
Patent US6948161 - Method, computer system and computer program product for determining the equivalence of two blocks of assignment statements
BACKGROUND OF THE INVENTION
The present invention relates to the determination of the equivalence of two blocks of assignment statements, such as those used in computer program... | 4 | [
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-0.0458984375,
-0.035400390625,
-0.08837890625,
0.03271484375,
-0.00964355... | 19,078 | 19078 | |
Explicit Evaluations of Cubic and Quartic Theta-Functions
ISRN Discrete Mathematics
Volume 2012 (2012), Article ID 956594, 29 pages
http://dx.doi.org/10.5402/2012/956594
Research Article
Explicit Evaluations of Cubic and Quartic Theta-Functions
Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh ... | 5 | [
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... | 19,079 | 19079 | |
MTS / POSTMAN / GDS TO PA/ PA RECRUITMENT MATERIAL
PROFIT & LOSS :
To download full Chapter,
click below link
http://www.viewdocsonline.com/document/pd4zbn
1. Profit = Selling Price - Cost price
2. Selling Price = Cost Price + Profit
3. Cost Price = Selling Price - Profit
4. Loss = ... | 4 | [
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0.0269775390625,
0.017578125,
-0.01080322265625,
-0.0517578125,
0.096... | 19,080 | 19080 | |
Complex conjugates of functions
brmath
I am looking at a complex function f(z) and want to know something about f(z)f*(1/z*). We could assume for now that f(z) is analytic or at least meromorphic. Are there any identities involving this
product? Is there any way to decompose the f*(1/z*) into a function of f?
Cavea... | 4 | [
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0.06640625,
0.0126953125,
-0.029541015625,
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-0.0830078125,
0.00065612... | 19,081 | 19081 | |
Riemann's Prime Counting Function
July 7th 2010, 09:50 AM #1
Riemann's Prime Counting Function
Define $\displaystyle{J(x)=\sum_{n=1}^\infty \frac{\pi\left(x^{1/n}\right)}{n}}$ (note this sum is actually finite).
1.) Show $\displaystyle{\pi(x)=\sum_{n=1}^\infty \frac{\mu(n)}{n}J\left(x^{1/n}\right)}$.
2.... | 5 | [
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0.02001953125,
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-0.09130859375,
-0.076171875,
0.04638671875,
0.01226806640625,
... | 19,082 | 19082 | |
Prove Points are Concyclic.
February 23rd 2010, 08:47 AM #1
Member
Joined
Sep 2008
Posts
81
Prove Points are Concyclic.
Hey Everyone,
I have a question here that asks:
Through a point on the diagonal of a square, lines PR, QS are drawn parallel to the sides, P, Q, R, S being on the sides. Prove... | 4 | [
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0.07421875,
-0.00130462646484375,
0.01153564453125,
-0.040283203125,
-0.01000976... | 19,083 | 19083 | |
Parabolas
┌─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ Let d be a line in the plane and F a fixed point not on d. A parabola is the collection of points in the pla... | 4 | [
0.0186767578125,
-0.06591796875,
-0.12109375,
-0.0703125,
0.030029296875,
0.035888671875,
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0... | 19,084 | 19084 | |
Order of Group. Direct Product of Cyclic Group
November 19th 2011, 05:24 AM #1
Newbie
Joined
Sep 2011
Posts
21
Order of Group. Direct Product of Cyclic Group
Let G = ${(\mathbb{Z}/7\mathbb{Z})^*} \times {{(\mathbb{Z}/11\mathbb{Z})^*}$. How many elements are there in the group G? Also show that G is not c... | 5 | [
-0.0791015625,
0.0054931640625,
-0.0341796875,
-0.02197265625,
0.038818359375,
-0.06103515625,
0.042724609375,
-0.005035400390625,
-0.07421875,
0.0093994140625,
-0.009033203125,
0.044189453125,
0.10302734375,
-0.0673828125,
-0.0311279296875,
-0.0025634765625,
-0.0830078125,
0.01080... | 19,085 | 19085 | |
Triangle under 1/z in the complex field...
August 16th 2010, 11:27 AM #1
Member
Joined
May 2008
Posts
171
Triangle under 1/z in the complex field...
Hey guys.
I'm trying to find the "picture" (sorry if it's not the word) of the triangle under 1/z in the complex field.
I think that [0,2i] -> [-i/... | 5 | [
-0.078125,
0.1240234375,
-0.04833984375,
0.023681640625,
0.029052734375,
-0.09375,
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0.0869140625,
0.0014190673828125,
-0.07373046875,
0.006805419921875,
-0.09033203125,
0.036376953125,
0.0301513671875,
-0.0032196044921875,
-0.05419921875,
-0.0120849609375,
-0.12451... | 19,086 | 19086 | |
Triple Integral Conversion (Spherical, Rectangular, Cylindrical)
November 20th 2007, 04:42 PM
numberonenacho
Triple Integral Conversion (Spherical, Rectangular, Cylindrical)
http://img101.imageshack.us/img101/6167/69688576jh3.gif
Sorry for the bad drawing.
So I am supposed to find an equivalent integral... | 5 | [
0.00128936767578125,
0.07421875,
-0.0654296875,
-0.04638671875,
0.032470703125,
-0.03857421875,
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0.0286865234375,
-0.06982421875,
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-0.040283203125,
0.043701171875,
0.03369140625,
0.11328125,
0.05615234375,
-0.072265625,
-0.0029144287109375,
0.0319824... | 19,087 | 19087 | |
Functions and their graphs
September 18th 2010, 10:21 AM #1
Junior Member
Joined
Jan 2010
Posts
43
Been stuck on this for a while:
The figure shown here shows a rectangle inscibed in two isoceles right triangle whose hypotenuse is two units long
a.) express the y-coordinate of "P" in terms of x (... | 4 | [
-0.01507568359375,
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0.046142578125,
0.03955078125,
0.0556640625,
-0.0654296875,
-0.10... | 19,088 | 19088 | |
Values such that the system of equations has only one solution
August 3rd 2012, 06:03 AM
shiny718
Values such that the system of equations has only one solution
How many different values of a for which the system of equations
$y^2 + y + x^2 = 2$ and $x + y = a$ has only one solution?
August 3rd 2012, 06:17 ... | 4 | [
-0.036376953125,
-0.00921630859375,
-0.0101318359375,
0.00848388671875,
0.035400390625,
0.0791015625,
-0.00112152099609375,
0.0089111328125,
0.08154296875,
0.0135498046875,
0.08935546875,
0.029296875,
0.042724609375,
-0.01446533203125,
-0.0181884765625,
0.0289306640625,
-0.0598144531... | 19,089 | 19089 | |
Question on an example about flatness in Hartshorne
up vote 5 down vote favorite
1
I have been having trouble understanding some statements regarding flatness in Hartshorne - in particular relating to some of the examples in the text. Any help would be appreciated!
Here is the issue:
• In example III.9.8.4 Hartsho... | 5 | [
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-0.10009765625,
0.09912109375,
0.0306396484375,
-0.07177734375,
-0.02197265625,
0.044677734375,
0.044189453125,
-0.08740234375,
0.0001239... | 19,090 | 19090 | |
Wing Spar Calculation
June 27th, 2011, 03:47 PM #1
Registered User
Join Date
Mar 2010
Location
Lethbridge, Alberta / Canada
Posts
174
Wing Spar Calculation
-This is a procedure I learned about in the book: Composite Basics by Andrew Marshall for sizing a composite spar. It seems to give too light str... | 4 | [
-0.0191650390625,
-0.0225830078125,
-0.04736328125,
0.05712890625,
-0.0283203125,
-0.07080078125,
0.01129150390625,
0.12451171875,
-0.046630859375,
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0.09326171875,
-0.08935546875,
0.07275390625,
-0.020751953125,
0.0... | 19,091 | 19091 | |
Zach G -- Blogmeister
Blog Entries
Ch 7 Review Question 06/10/12
Ch 12 Review Question 06/10/12
Soh-Cah-Toa 05/29/12
Favorite Area Theorem 05/20/12
Pythagorean Theorem 05/06/12
Radicals 04/29/12
Transformations ... | 4 | [
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0.05078125,
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0.01470947265625,
0.036865234375,
-0.0032958984375,
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0.03564453125,
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0.005126953125,
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0.0252685546875,
0.0076904296875,
-0.07958984375,
-0.013... | 19,092 | 19092 | |
Lagrange Multipliers
March 11th 2013, 11:20 AM #1
Junior Member
Joined
Feb 2013
From
Canada
Posts
44
Lagrange Multipliers
Use the method of lagrange multipliers to determine the maximum value of f(x,y)= x^a y^b (a and b are two fixed positive constants) subject to constraint x + y= 1. (assume x,y big... | 5 | [
0.0096435546875,
-0.05419921875,
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-0.0517578125,
-0.103515625,
-0... | 19,093 | 19093 | |
algebra equation
December 21st 2008, 07:44 PM #1
Newbie
Joined
Dec 2008
Posts
6
question 1: ^ = power of
if 3x^2-2x+7=0 then (x-1/3)^2= ?
answer : -20/9 HOW DID THEY GET THAT? I DONT UNDERSTAND IT.
question 2:
the graph of which of the following equations is a straight line parallel to th... | 4 | [
0.041015625,
0.040283203125,
0.0123291015625,
0.0322265625,
-0.0703125,
0.012939453125,
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0.00909423828125,
0.06298828125,
0.09130859375,
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0.0625,
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0.0625,
-0.109375,
-0.011474609375,
-0.03784179687... | 19,094 | 19094 | |
Arc length
July 4th 2005, 07:35 AM
slurch901
radians....
hey...
if a sector of a circle has a perimeter of 20cm,
how do you prove the "area = 25.(r-5)^2"
thankyou
July 4th 2005, 09:31 AM
MathGuru
Area of a sector of a circle
Remember that $S = r\theta$
S = arc length
r = radius
... | 4 | [
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0.026123046875,
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0.08984375,
-0.1... | 19,095 | 19095 | |
Hyperbolas
September 10th 2007, 05:28 AM #1
Junior Member
Joined
May 2007
Posts
69
Hyperbolas
Could someone please tell me if the following HW problems are correct asap because I was not sure of them and there are no answers in the back of the book. Thanks!
Give the following equations and points fi... | 4 | [
0.0164794921875,
0.01361083984375,
-0.0184326171875,
-0.040283203125,
0.06689453125,
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0.044921875,
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0.030029296875,
0.1015625,
0.00183868408203125,
0.1142578125,
-0.0673828125,
-0.12792968... | 19,096 | 19096 | |
is this enough prove?
September 20th 2012, 09:41 AM #1
Senior Member
Joined
Sep 2012
From
Sweden
Posts
250
Thanks
6
is this enough prove?
hey I should perhaps have seminar presentation on this task and wonder if that evidence is good enough?
show that the 5^(n +1) -1 is divisible by 4, for ... | 4 | [
-0.068359375,
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0.051025390625,
0.0849609375,
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0.0654296875,
-0.0267333984375,
-0.06... | 19,097 | 19097 | |
Help with prime numbers
July 27th 2011, 03:44 PM
Sneaky
Help with prime numbers
Hi, I need helping with coming up with the most efficient algorithm to check if a number is a prime number
Code:
def is_prime(n):
n*=1.0
if (n%2==0 and n!=2 or n%3==0 and n!=3) or n<2:
return False
for b in... | 4 | [
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0.0274658203125,
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0.068359375,
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0.0125732421875,
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0.0017547607421875,
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-0.0206298828125,
-0.0439453125,
-0.031494... | 19,098 | 19098 | |
boys and girls in a family
November 12th 2009, 07:23 PM #1
Newbie
Joined
Sep 2009
Posts
11
boys and girls in a family
Suppose a family has three children (consider all combinations -- there are eight of them), and a child picked at random from all children of such families. If he is a boy, what is the
... | 5 | [
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0.0966796875,
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0.08837890625,
-0.025390625,
0.0247802734375,
0.06689453125,
0.0400390625,
-0.053466796875,
-... | 19,099 | 19099 |