content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Factorisation
It seems like some obvious combination like $(\pm a^2\pm b^2\pm c)^2$ doesn't work for any combination of +/- We can write it as a polynomial g with: $c=x$ and $g(x)= x^2-2(a^2+b^2)x+(a^4+b^4-2a^2b^
2)$ and then use abc-formula to find roots of $g(x)=0$ Then we can write $(x-r_1)(x-r_2)$ as a factorisatio... | 4 | [
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0.04638671875,
0.0159912109375,
... | 23,600 | 23600 | |
Sampling with replacement
January 18th 2010, 07:01 PM #1
Sampling with replacement
A = {1, 2, ..., N} is a set of N integers.
I'm sampling from A, one element each time, with replacement.
How many sampling may I expect to perform, in average, before obtaining one element that already came out?
I wo... | 5 | [
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-0.10400... | 23,601 | 23601 | |
Bases for row and column spaces
February 13th 2011, 08:51 PM #1
Bases for row and column spaces
Without multiplying matrices, find bases for the row and column spaces of A:
$A=\left[ {\begin{array}{cc}1 & 2 \\4 & 5 \\2 & 7 \\ \end{array} } \right]\left[ {\begin{array}{ccc}3 & 0 & 3 \\1 & 1 & 2 \\\end{array} ... | 4 | [
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0.0... | 23,602 | 23602 | |
Maximization problem with two constraints
May 11th 2010, 03:43 AM #1
Maximization problem with two constraints
The optimal contract maximizes the entrepreneur's expected compensation:
$U_b = max_{\{R_b^S, R_b^F\}}\{ p_HR_b^S + (1-P_H)R_b^F-A \}$
Subject to the entrepreneur's incentive constraint
$(... | 4 | [
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[SOLVED] Greatest Common Divisor
February 24th 2009, 06:27 PM #1
[SOLVED] Greatest Common Divisor
What can you say about the GCD of consecutive Fibonacci numbers in the
case where we modify the initial condition and set F0 = a, F1 = b, for some
natural numbers a, b?
All I understand from this is that... | 5 | [
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Physics Forums - Finding Complicated Inverse Functions
-
Calculus
(
http://www.physicsforums.com/forumdisplay.php?f=109
)
JungleJesus Feb15-11 07:02 PM
Finding Complicated Inverse Functions
We have a formula for the derivative of an inverse function:
dy/dx = 1/(dx/dy).
Just how useful is it?
Say we want to... | 5 | [
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Free fall with air resistance, must find velocity
Merbdon
Thanks for the replies everyone, but I'm still not seeing it. I am not trying to copy and paste an answer here, I'm doing this on my own time, trying to study before I go back to school in the Fall.
Where does the e come from? Is there some basic calculus tha... | 5 | [
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Effects of El Nino Southern Oscillation on the Discharge of Kor River in Iran
Advances in Meteorology
Volume 2013 (2013), Article ID 846397, 7 pages
http://dx.doi.org/10.1155/2013/846397
Research Article
Effects of El Nino Southern Oscillation on the Discharge of Kor River in Iran
^1Department of Hydraulics & Hydrol... | 4 | [
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Fixed Real Numbers...Part 1
December 7th 2009, 06:18 AM #1
Banned
Joined
Dec 2009
From
NYC
Posts
84
Fixed Real Numbers...Part 1
Suppose a, b, and c are fixed real numbers such that
b^2 - 4ac ≥ 0. Let r and s be the solutions of
ax^2 + bx + x = 0.
(a) Use the quadratic formula to show tha... | 4 | [
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Patent US20050232354 - Rate controlling method and apparatus for use in a transcoder
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention generally relates to a method and apparatus for transcoding a first coded moving picture sequence at a first bit rate into a second coded moving picture sequ... | 4 | [
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0... | 23,609 | 23609 | |
Statistics help - Scatter plot, regression
1. The problem statement, all variables and given/known data
Consider the following data set for ten first grade students; the variables are the number of minutes spent learning a list of spelling words and the number wrong on the spelling test. [15 points
total]
(supposed t... | 4 | [
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Cross section of coulomb sacttering vs Rutherford
Let us suppose the impact factor is [itex]b[/itex], and the initial velocity is [itex]v_\infty[/itex]. If the potential energy is spherically symmetric [itex]V = V(r)[/itex] and vanishes at infinity,
then the law of conservation of angular momentum and energy give:
[te... | 4 | [
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Not seeing the action of a free particle in the Path Integral Formulation
Let's do the calculation of the free-particle propagator in the operator formalism, which is much more convenient than the path-integral calculation.
The propagator is defined as the solution of the time-dependent Schrödinger equation (initial-v... | 5 | [
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Improved Reconstruction of In Silico Gene Regulatory Networks by Integrating Knockout and Perturbation Data
Abstract
We performed computational reconstruction of the in silico gene regulatory networks in the DREAM3 Challenges. Our task was to learn the networks from two types of data, namely gene expression
profiles i... | 4 | [
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Brevet US5970104 - Method and apparatus for generating branch metrics and branch indices for convolutional code Viterbi decoders
FIELD OF THE INVENTION
This invention relates to a Viterbi decoder, and more particularly to a rate equals one-half convolutional code Viterbi decoder that generates a branch metric.
BACKGR... | 4 | [
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Sum of this geometric series
February 2nd 2013, 12:36 PM
director
Sum of this geometric series
Hi all,
I'm trying to find:
$\sum_{k=0}^{n} (e^{i\Theta})^{k}$
I manipulate this the following way:
$= 1 + \sum_{k=1}^{n} (e^{i\Theta})^{k} = 1 + \frac{1-e^{in\Theta}}{1-e^{i\Theta}}$
Is this ri... | 4 | [
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Difference between any two odd numbers is even
It is indeed obvious the sum of any two odd primes is even
Actually, the sum of ANY two odd numbers is an even number (wether they are primes or not).
Look at integral's proof.
Is there a law or theorem somewhere that states the difference between any two odd numbers is... | 4 | [
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Decompose
July 6th 2006, 08:22 PM
Lane
1 math question
Identify the form of the partial fraction decomposition. Do not solve for the constants. 8x2+7x
(x+5)3
A: A + Bx + Cx2
X+5 (x+5)2 (x+5)3
B: A + B + C
X+5 (x+5)2 (x+5)3
C: Ax2 + Bx + C
(x+5)3
D: A + Bx+C
X+5 (x+5)2
... | 4 | [
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Prove a natural logarithmic property using ... ?
July 11th 2010, 05:36 AM #1
Prove a natural logarithmic property using ... ?
The Question:
Use the definition of the natural logarithm function to prove that :
ln (ab) = ln(a) + ln(b)
for any positive number a and b.
my problem is that I do not kn... | 5 | [
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Implicit differentiation
Hello $sin(2x^3 + y^2) = cos(x^2 + 2y^3)$ How would this be solved using implicit differentiation? Thank you
I'll do the left hand side and let you do the right. $\cos(2x^3+y^2) (6x^2+2y*y') = ...$ Use the chain rule. The outermost function in this case was the sine function, then multiply by ... | 4 | [
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0.0432128906... | 23,619 | 23619 | |
solve the differential equation
Solve the differential equation dy/dx= 2y for y given that when x = 1, y = 1 Thanks
1. separate the variables dy/y = 2dx 2. integrate ln|y| = 2x+ c 3. Apply ICs x= y = 1 0 = 2 + c c=-2 ln|y| = 2x - 2 4. exponentiate y = e^(2x-2) = e^(-2) e^(2x)
$\frac{dy}{dx} = 2y$ Method 1: $\frac{dx}... | 5 | [
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is this a way to solve a radical equation?
April 15th 2011, 08:25 PM
bournouli
is this a way to solve a radical equation?
(2x^2-7)^(1/2)=3-x
so FOIL the left side, square the right side for, 2x^2-7=x^2-6x+9. Add 7: 2x^2=x^2-6x+16 but then divide by 2 instead of adding 2x^2: x^2=(x^2-6x+16)(1/2).
Then su... | 4 | [
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Math Help
January 17th 2010, 05:04 AM #1
Newbie
Joined
Jan 2010
Posts
3
Growth
I have come accross a question which i cant get my head around, but i am guessing it is to do with groth and big o notation?
Could some on point me in the right direction for finding some online material to learn this ty... | 5 | [
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Modular Arithmetic
March 10th 2011, 07:22 PM #1
Newbie
Joined
Mar 2011
Posts
1
Hi,
I'm not too confident about some mod simplification.
I am wondering if anyone can help me simplify this:
2^(28) (mod 37)
Basically, I don't know how to get it to become a 2^x = 1 or -1 (mod 37)
Here's my... | 5 | [
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Patent US7272587 - Generation of decision trees by means of a probabilistic model
BACKGROUND OF THE INVENTION
This invention relates to the field of decision systems, and in particular, a converter that can be used to convert decisions trees into probabilistic models, such as Bayesian networks, wherein the
probabilist... | 4 | [
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... | 23,624 | 23624 | |
Sinusoidal Help?
May 5th 2008, 02:09 PM
MathIsRelativelyUseless
Sinusoidal Help?
Determine the values of a and d in the sinusoidal function
y=asin(bx+c) +d
if the maximum value is 12 and the minimum value is 4.
Find the value of b in the sinusoidal function if the period is 5.
That... | 4 | [
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... | 23,625 | 23625 | |
Math Help
June 19th 2008, 12:35 AM #1
Member
Joined
Jan 2008
Posts
132
functions
Question:
a) f(x) = | (3-x)/(x-2) |, x > 2
Define the inverse funtion of f corresponding to the domain of f.
b) g(x) = ln (x+2), x > -2
h(x) = 2 + (e ^ -x) , x > b and b > 0
The composite function gh... | 5 | [
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Applicability of Different Isothermal EOS at Nanomaterials
Physics Research International
Volume 2013 (2013), Article ID 927324, 9 pages
http://dx.doi.org/10.1155/2013/927324
Research Article
Applicability of Different Isothermal EOS at Nanomaterials
^1Department of Physics, G. B. Pant University of Agriculture and ... | 4 | [
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0.020263671875,
-... | 23,627 | 23627 | |
Statistics Help
October 29th 2007, 02:20 PM #1
Junior Member
Joined
Feb 2007
Posts
59
Statistics Help
Soda bottles are filled to 2.0 liters with a standard deviation of 0.05 liters and are normally distributed. If you select a random sample of 25 bottles what is the probability that the sample
mean w... | 5 | [
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Cost minimization while retaining volume
June 1st 2010, 10:02 PM #1
Newbie
Joined
Jun 2010
Posts
3
I need to design a dumpster for my final calculus project. The main idea is that I find a dumpster, measure it, and retain the basic shape and construction when redesigning it. I must also keep
the volum... | 5 | [
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ircle
Circle
From New World Encyclopedia
This article is about the shape and mathematical concept of circle. For other uses of the term, see Circle (disambiguation).
In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a given point, the center. The len... | 4 | [
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Problem
February 26th 2009, 07:15 PM
MathTiger
Problem
Let http://msr02.math.mcgill.ca/webwork2...6cc830a571.png be a positive constant. Consider the equation
with boundary conditions http://msr02.math.mcgill.ca/webwork2...dbbe9016e1.png and http://msr02.math.mcgill.ca/webwork2...bd2a708161.png.
For ce... | 5 | [
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Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 420514, 6 pages
http://dx.doi.org/10.1155/2013/420514
Research Article
Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Bound... | 5 | [
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Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
Journal of Engineering
Volume 2013 (2013), Article ID 937596, 7 pages
http://dx.doi.org/10.1155/2013/937596
Research Article
Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to ... | 4 | [
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Completing the square
April 27th 2013, 09:58 PM #1
Junior Member
Joined
Mar 2013
From
Unreals
Posts
44
Completing the square
Hi!
Apparently this is wrong, how do I get the correct form?
Complete the square for $y = -x^2-2x$
$\frac{-2}{2(-1)} = 1$
$-(x^2-2x) = -(x^2-2x+1)-1$
$... | 4 | [
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Convolution integral
March 26th 2011, 09:04 AM
Mppl
Convolution integral
The exercise I tried to solve in the picture I attached is a convultion integral that should be solved for 0<=t<3 where u(t) is the step function (0 for all negative numbers and one for other
numbers) and d(t) is the Dirac function. Can... | 5 | [
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Help with logarithmic differention
Hey I need help with this problem: Solve using logarithmic differentiation: y=((x^2+1)/(x^2-1))^(1/4) Thanks!
Hello $ln y = \frac{1}{4} ln \frac{x^2 +1}{x^2-1}$ $ln y = \frac{1}{4} ln (x^2 +1) - \frac{1}{4} ln (x^2-1)$ differentiating w.r.t.x $\frac{\frac{dy}{dx}}{y} ln y = \frac{1}{... | 5 | [
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Express in closed form
April 14th 2008, 05:59 PM #1
Junior Member
Joined
Nov 2007
From
california
Posts
74
Express in closed form
Im trying to find a closed form for the nth partial sum of the series ln(1/2)+ln(2/3)+ln(3/4)+...+ln(k/(k+1))+....
My book only has a paragraph on this and i cant unde... | 5 | [
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[SOLVED] person who helped will be highly appreciated
prove that: cos[tan^-1 {sin ( cot^-1 x)}] = {(1 + x^2)/(2 + x^2)}^1/2
Draw a right triangle with angle $\theta$, "near side" x, and "opposite side" 1. That way $cot(\theta)=$ "near side"/"opposite side" $= x/1= x$ so $sin(cot^{-1} x)= sin(\theta)$= "opposite side"/... | 5 | [
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0.... | 23,638 | 23638 | |
Probability of roll X or greater on Y Dice.
November 14th 2011, 04:20 PM
takatok
Probability of roll X or greater on Y Dice.
I want to make sure my analysis of the problem thus far is correct. I'm just learning about integer partitions so I am not sure exactly how to calculate the function I define as $G(x)$.
... | 4 | [
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Trigonometric Equation
August 18th 2011, 04:54 PM
dagbayani481
Trigonometric Equation
So the questions asks find all the values of x in interval [0,2pi)
for the following equation $8 + 4 cos(2x) = 12 cos(x)$
So the way I go about solving it is I subtract 12cos(x) to the other side and replace cos(2x) f... | 4 | [
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Proof that a function is of exponential order
awelex
Hi,
I'm being asked to test whether a function is of exponential order, i.e. whether
abs( f(x) ) <= M*exp(a * t), for all t >= T (which is finite).
This is incorrect. It should be "[itex]|f(x)|\le M exp(ax)[/itex] for all [itex]x\ge X[/itex]". You can't change ... | 5 | [
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... | 23,641 | 23641 | |
Apparent contradiction: Two charges moving parallel to each other
harrylin
Can you please elaborate?
Consider two long straight "line charges" with linear charge density λ C/m, separated by distance d. They repel each other with the following force per unit length:
$$f_E = \frac {\lambda^2}{2 \pi \epsilon_0 d}$$
... | 4 | [
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Conjecturing sinusoids using a CAS?
August 18th 2010, 08:54 AM
treetop282
Conjecturing sinusoids using a CAS?
I really have no idea what any of this means, and I think I just need a translation...
Let $y=sin(ax) + cos(ax)$.
Use the symbolic manipulator of a computer algebra system (CAS) to conjecture the... | 4 | [
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0... | 23,643 | 23643 | |
Math Help
October 14th 2008, 07:52 PM #1
A jar filled with water weighs 10 pounds. When one-half of the water is poured out, the jar and remaining water weigh 5 3/4 pounds. How much does the jar weigh?
Let j = weight of jar
Let w = weight of water when jar is full
So we get the following system of e... | 4 | [
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0.08886... | 23,644 | 23644 | |
polynomial cubic roots
June 26th 2009, 08:34 PM #1
Junior Member
Joined
Jun 2009
Posts
28
polynomial cubic roots
Solve the equation 4xcubed + 32xsquared + 79x + 60 = 0 given that one root is equal to the sum of the other two
Here is my working out so far
Let the roots be alpha, beta and gamma
... | 4 | [
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0.0888671875,
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0.01867... | 23,645 | 23645 | |
Brevet US4859960 - Digital signal demodulation
BACKGROUND OF THE INVENTION
In conventional analogue modulation techniques a signal is used to modulate one or more of the parameters of a carrier wave i.e. phase, amplitude or frequency. The carrier wave is usually of a
frequency significantly greater than that of the mo... | 4 | [
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... | 23,646 | 23646 | |
Homotopy Perturbation Method with an Auxiliary Term
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 857612, 7 pages
http://dx.doi.org/10.1155/2012/857612
Research Article
Homotopy Perturbation Method with an Auxiliary Term
^1National Engineering Laboratory for Modern Silk, College of Textile and Enginee... | 5 | [
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0.07470703125,
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coordinate geometry regarding circle
September 22nd 2009, 03:35 AM
wintersoltice
coordinate geometry regarding circle
Find the equation of the circle which passes through the points P(-2,0), Q(4,6) and has its centre on the line 2x+y=6.
what i tried to do is:
$y=-2x+6 -----(1)$
let centre of circle... | 4 | [
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-0.1044921875,
-0.03906... | 23,648 | 23648 | |
Sampling
July 14th 2006, 09:06 PM
kingkaisai2
Sampling
An unbiased dice is thrown once. The var(x)=35/12. The same dice is thrown 70 times.
a) Find the probability that the mean score is less than 3.3.
b)Find the probability that the total score exceeds 260.
The final answer is not expected but plea... | 5 | [
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-0.072... | 23,649 | 23649 | |
Related Rates
March 12th 2008, 05:02 PM
smschaefer
Related Rates
A man, who is in a rowboat 2 miles from the nearest point A on a straight shoreline, wishes to reach a house located at point B which is 6 miles further down the coast. He plans to row to point P
that is between A and B. P is also x miles from ... | 5 | [
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-0.06982421875,
-0.018... | 23,650 | 23650 | |
Re : Why can't elof be discontinuous :proof
namanjain
why electrostatic field lines cannot be discontinuous in charge free region
E must satisfy two boundary conditions across any surface:
1. E_normal is continuous across the surface. This follows from the divergence theorem applied to div E=0 (for a charge free r... | 4 | [
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Valid proof?
unit_circle
It is not stated explicitly in the text I am using, but the author did present the axioms as properties of the rationals, so I guess 0 != 1 is assumed. Is it not possible to prove that 0 != 1 from
the basic axioms of an ordered field?
No, you can't deduce that 0 !=1 from the axioms of an orde... | 4 | [
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... | 23,652 | 23652 | |
Trig problem solving question
December 28th 2008, 02:19 PM #1
Newbie
Joined
Dec 2008
Posts
8
Trig problem solving question
1. Given that $Sin(x) = Cos({3 \pi}{/11})$, and x lies in the second quadrant, determine the measure of x.
I would really appreciate if someone could show me how to solve this q... | 4 | [
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0.003... | 23,653 | 23653 | |
Patent US3669511 - System for phase locking on a virtual carrier received by an asymmetrical receiver
June 13, 1972 MOTLEY ETAL 3,669,511
SYSTEM FOR PHASE LOCKING ON A VIRTUAL CARRIER RECEIVED BY AN ASYMMETRICAL RECEIVER Filed Sept. 17, 1970 5 Sheets-Sheet 2 s simfij I bq R m- &
. i R 5 M an M me. a
I NVENTORS DAVID... | 4 | [
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-0.024169921875,
-0... | 23,654 | 23654 | |
Non-commutative ring
March 21st 2009, 02:52 AM
ZetaX
Non-commutative ring
I have the non-commutative ring R which is
$<br /> \left[<br /> \begin{array}{ c c }<br /> \mathbb Z & \mathbb Q \\<br /> 0 & \mathbb Q<br /> \end{array} \right]<br />$
How can I show that every right ideal in the ring R is proje... | 5 | [
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... | 23,655 | 23655 | |
Isomorphism Theorems
December 14th 2009, 04:11 AM #1
Member
Joined
Dec 2009
Posts
171
Isomorphism Theorems
The problem is:
Let G be a group of order 12 ( o(G)=12).
Let's assume that G has a normal sub-group of order 3 and let a be her generator ( <a>=G ).
In the previous parts of the questio... | 4 | [
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HaskellWiki
Hask
From HaskellWiki
(Difference between revisions)
F.s. (Talk | contribs) (id is a function :))
m
← Older edit
(25 inter... | 4 | [
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Matlab Code Writting Help Needed
July 24th 2008, 06:27 AM #1
Newbie
Joined
Jul 2008
Posts
11
Matlab Code Writting Help Needed
I am writting a code to do the following..
I inport x y z coordinate points into the program and run my code to set a plane to the points and tell me the distance from to plai... | 4 | [
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Profit Function
November 27th 2012, 06:37 AM #1
Newbie
Joined
Nov 2012
From
UK
Posts
3
Profit Function
Been going back and forth and just want to see if I've come to the right conclusion! (Also if this is in the wrong section, let me know. New on here!)
Question:
Fixed costs of 10, Average Va... | 4 | [
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Wolfram Demonstrations Project
Throwing a Die to Score 100 Points
A score of 100 points wins a certain dice game. Each turn, a player rolls a single die as many times as they like, and gains either zero points if a 1 is ever rolled or else the total of their
rolls. After a turn, the score for the turn is added to thei... | 4 | [
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Vectors 3
August 27th 2009, 01:47 PM #1
Senior Member
Joined
Nov 2008
Posts
425
Vectors 3
If a and b are unit vectors, and |a-b|=5, evaluate (2a+5b) . (3a-4b).
Ok, so can someone please check my work for me? I am just not sure on one part, finding the angle of cos(theta). Btw this is the dot product... | 4 | [
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inequalities help!!
hey guys, (3x+5)/(2x-1) (greater than or equal to) 8 any ideas? thanks guys
What is (1, negative infinity) meant to mean? And by (1/2, positive infinity) do you mean 1/2 < x < +oo ? Have you taken some random values of x from your solution and checked to see if they satisfy
the original inequality?... | 4 | [
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Voltage Mode Universal Biquad Using CCCII
Active and Passive Electronic Components
Volume 2011 (2011), Article ID 439052, 5 pages
http://dx.doi.org/10.1155/2011/439052
Research Article
Voltage Mode Universal Biquad Using CCCII
Department of Electronics Engineering, Indian School of Mines, Dhanbad 826004, India
R... | 4 | [
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Polynomials which factors but have no roots?
May 28th 2010, 04:53 AM #1
Banned
Joined
Apr 2009
Posts
96
Polynomials which factors but have no roots?
Hello all,
Can anyone think of an example of a polynomial f(g) with integer coefficients which factors (poly mod n) but has no roots, e.g. for which th... | 5 | [
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Find the greatest area within a curve.
April 30th 2006, 03:25 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Find the greatest area within a curve.
Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 3-x^2. What are the dimensions of such a rectangl... | 4 | [
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Vector function of two arguments
October 13th 2008, 08:55 AM #1
Newbie
Joined
Oct 2008
Posts
4
Vector function of two arguments
⃗r : U → R3 ,U ⊂ R 2
We are given:
⃗r (u,v)= (√v/2 cosh u, √v2sinhu,v)
or the same as:
x= √v/2 cosh u
y- √vsinh u
z=u
The question is verify that th... | 4 | [
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Pascal's theorem and triangle
What are 2 examples with detailed solutions of the application of mathematics for Pascal's triangle/ theorem???
like i said last night, i don't know any applications for Pascal's theorem, but i can give you two examples for pascal's triangle pascal's triangle is particularly useful in exp... | 4 | [
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... | 23,667 | 23667 | |
Finding the convolution analytically (or graphically)
April 18th 2013, 04:56 PM #1
Newbie
Joined
Jan 2013
From
florida
Posts
8
Finding the convolution analytically (or graphically)
Hi everyone
This question is from my Signals and Systems class, its an EE course so I'm not sure if this question i... | 5 | [
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Finding a formula for the nth term of the sequence
September 30th 2013, 01:24 PM #1
Member
Joined
Oct 2012
From
san francisco
Posts
92
Finding a formula for the nth term of the sequence
Hello I need some help with this problem.
Find a formula for the nth term of the sequence.
1,0,0,1,0,0,0,0... | 5 | [
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Physics/maths teacher having trouble figuring out this question.
April 7th 2013, 04:37 PM
vjnr
Physics/maths teacher having trouble figuring out this question.
Hi all
I have a question that even a maths/physics teacher having problem solving, does anyone have any idea how to work is out?
Question:
... | 4 | [
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Brevet US5550541 - Compact source coding tables for encoder/decoder system
TECHNICAL FIELD
The invention relates in general to various source coding techniques which use a table or a matrix to encode and decode information. More particularly, the invention relates to encoding/decoding
systems which require less space ... | 4 | [
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0.1455... | 23,671 | 23671 | |
Equation of a line in 2-space
March 26th 2011, 05:21 PM
darksoulzero
Equation of a line in 2-space
I have two lines
r: [x,y]=[3,2]+t[4,-5]
q: [x,y]=[1,1]+s[7,k]
a) for what values of k are the lines perpendicular?
I got this by using the dot product of [4,-5].[7,k]=0 and then solving for k.
... | 4 | [
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Physics Forums - View Single Post - Synchronized clocks with respect to rest frame
John232
I fail to see how that is true without an explanation.
mananvpanchal
Can you explain me how acceleration can create desynchronization with respect to O?
Certainly, it follows directly from the Lorentz transform. Let's an... | 5 | [
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siny/y ? ...
April 10th 2010, 05:53 AM
matlabnoob
siny/y ? ...
can anyone explain why...
lim (siny/y) = 1 , as y --> 0
?... surely siny/y = 0... as y--->0
because sin0/0 = 0 ??
thanks!
April 10th 2010, 06:56 AM
maddas
Because for small x, $\sin x \approx x$...
Here's a proof Khan ... | 4 | [
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Prooving surjective and injective functions
October 20th 2009, 10:33 AM #1
Newbie
Joined
Oct 2009
Posts
5
Let g : A -> B and f : B -> C be functions.
Show that if f and g are injective, then f o g is injective.
Show that if f and g are surjective, then f o g is surjective.
i don't know how to... | 5 | [
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How to show that it's equal (Intergral)
August 16th 2008, 05:59 PM
noppawit
How to show that it's equal (Intergral)
Given that m and n are positive integers, show that
int [from 0 to 1] (x^m)(1-x)^n dx = int [from 0 to 1] (x^n)(1-x)^m dx
August 16th 2008, 07:54 PM
mr fantastic
Quote:
There are ... | 5 | [
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What does it mean if two functions are orthogonal?
"Orthogonal", of course, comes from geometry meaning "perpendicular". One property of that is that if two vectors are perpendicular their dot product is 0.
It can be generalized to any "inner product space" with orthogonal defined as "the inner product" (a generalizat... | 4 | [
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using Minors, Cofactors and Adjugate
Inverse of a Matrix
using Minors, Cofactors and Adjugate
We can calculate the Inverse of a Matrix by:
• Step... | 4 | [
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Patent US20060015802 - Layered decoding approach for low density parity check (LDPC) codes
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims priority to U.S. Provisional Application No. 60/589,177, filed Jul. 19, 2004 and entitled, “Improvements to a Layered Decoding Approach for LDPC Codes,” which is he... | 4 | [
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... | 23,679 | 23679 | |
Percentile Ranges
November 6th 2009, 09:40 AM
lexx
Percentile Ranges
On a standard IQ test, the scores are normally distributed with a mean of 100 and a standard deviation of 20.
a. if you score 140, in what percentile are you?
b. if you score 90, in what percentile are you?
So i'm pretty sure that ... | 4 | [
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-0.08056640625... | 23,680 | 23680 | |
maximal ideals
April 6th 2013, 01:52 AM #1
Member
Joined
Sep 2012
From
india
Posts
78
maximal ideals
Can someone please explain the meaning of "maximal ideals" to me ? I am really having a hard time, trying to understand the definition.Also, why is zero a maximal ideal for any field ?Please
Help.... | 4 | [
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Physics Forums - View Single Post - Propositional Logic Question
1. The problem statement, all variables and given/known data
I don't have symbols for negations, so i'll just use the word NOT..
Prove the validity of the sequents below:
NOT ( P -> Q) YIELDS Q-> P
2. Relevant equations
Relavent deductions as listed... | 4 | [
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Nonlinear Dynamics in the Solow Model with Bounded
Population Growth and Time-to-Build Technology
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 836537, 6 pages
http://dx.doi.org/10.1155/2013/836537
Research Article
Nonlinear Dynamics in the Solow Model with Bounded Population Growth and Time-to-Build ... | 4 | [
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A Proof for the Inequality of Arithmetic and Geometric Means
November 9th 2010, 07:48 AM #1
A Proof for the Inequality of Arithmetic and Geometric Means
Dear friends,
while working on some computations, I figured out that my arguments supply a proof for
the arithmetic and geometric mean inequality by usi... | 5 | [
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Find a solution with Laplacetransform
October 2nd 2011, 02:53 AM
Muffin
Find a solution with Laplacetransform
1. The problem statement, all variables and given/known data
Determine the solution for
$y^{''}+81y=81U(t-\frac{\pi }{2})$
when $\left\{y(0)=12,y'(0)=18\right\}$
U(t) is the unit step f... | 5 | [
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Patente US5050095 - Neural network auto-associative memory with two rules for varying the weights
This application is a continuation-in-part of application Ser. No. 200,384, filed May 31, 1988 now abandoned.
The invention relates to new and improved methods for the storage and recall of memories in a neural network au... | 4 | [
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Finding all solutions for diophantine equations
October 21st 2010, 08:37 AM
archon
Finding all solutions for diophantine equations
Hi, this is my first post here. I'm taking a discrete mathematics course in University and it's kicking my ass. I'm not good at math and the professor barely speaks english, not a go... | 5 | [
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Magnetism in a current carrying wire
A formula says more than thousend words
[tex]\vec{\nabla} \times \vec{B}=\vec{J}.[/tex]
Further you need the fact that there are no magnetic charges ("monopoles"):
[tex]\vec{\nabla} \cdot \vec{B}=0.[/tex]
This together Ampere's Law tells you that only some current density can cause ... | 4 | [
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Probability of consecutive wins
December 11th 2008, 09:35 AM
ZPlayer
Probability of consecutive wins
Hello all,
I have played binomial game and recorded wins and losses. I played 179 rounds and then analyzed the resulting sequence. I recorded the number of times when victories appear in runs. For example,
... | 5 | [
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Substitutions in multiple integrals
November 22nd 2010, 09:14 PM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Substitutions in multiple integrals
R is a region in the first quadrant of the xy-plane bounded by xy=1, xy=9, y=x, and y=3x. Using the transformation $v=\sqrt{\frac{y}{x}}$, $u=\sqrt{... | 5 | [
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Solving a cubic equation.
Can anyone help me solve this? Thank you so so much! 16x^3 -48x^2 -9x + 27=0
By guessing one root... My "guess" is x=3, now you should know how to continue. Read here please: Rational Zeros of Polynomials
Assuming you know the factor theorem the numbers are big, so arrangement could help Att... | 4 | [
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0.04... | 23,691 | 23691 | |
Midpoint formula question
October 22nd 2006, 09:59 PM #1
Junior Member
Joined
May 2006
From
Sydney, Australia
Posts
44
Midpoint formula question
The questions asks to find the point that divides the interval AB ( A(-7, 5), B(3, 1) ) into the ratio 3:1
I'm looking at the answer but I can't work o... | 4 | [
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-... | 23,692 | 23692 | |
How To Solve Integral of e? And solve velocity?
June 9th 2009, 10:04 PM #1
Member
Joined
Apr 2008
Posts
123
How To Solve Integral of e? And solve velocity?
1) int(1/(1-e^(-x)))
My attempt:
ln |1-e^(-x)| + c
Answer:
ln |e^x - 1| + c
2) Solve the differential equation:
(e^(x-y))dy... | 5 | [
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DIFFEQ - Discontinuous Forcing Functions (should be an easy question)
Ok, we just started this chapter, and I am slightly confused with one specific aspect of the info... I'll just go through an example, it's the best way to explain it IMHO.
I have to find the Laplace transform of the following function.
The table of t... | 4 | [
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Math Help
November 22nd 2010, 11:29 AM #1
Member
Joined
May 2010
Posts
241
Hi there, sorry for the hurry, I had a big problem this weekend and I couldn't study. I have my exam tomorrow, and need help with this. I'm finishing with the topic, and I have almost studied all
what I had to study, but this ... | 4 | [
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Symmetric Tensor Rank and Scheme Rank: An Upper Bound in terms of Secant Varieties
Geometry
Volume 2013 (2013), Article ID 614195, 3 pages
http://dx.doi.org/10.1155/2013/614195
Research Article
Symmetric Tensor Rank and Scheme Rank: An Upper Bound in terms of Secant Varieties
Department of Mathematics, University of... | 5 | [
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How to solve this inequality ?
$\displaystyle \frac{(x - 1)^2 - (x + 5)}{x + 5} < 0$ First note that $\displaystyle xeq -5$ since this would give a zero denominator. Now you need to test two separate cases, one where the
denominator is negative, and one where the denominator is positive (because multiplying or dividing... | 4 | [
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Using Calculus to determine Luminous Flux
February 5th 2013, 11:16 AM
boomhelm
Using Calculus to determine Luminous Flux
I need to determine the total luminous flux of an LED lamp. I have readings of the intensity (I) at a range of given latitude and longitude angles ( $\theta, \phi$), but I do not know how to
... | 4 | [
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Integral of this exponential function: analytical solution?
October 31st 2009, 01:50 PM #1
Newbie
Joined
Oct 2009
Posts
5
Integral of this exponential function: analytical solution?
Hi all,
I'm trying to solve the definite integral between 0 and inf of:
exp(a*x^2 + b*x + c)
----------------... | 5 | [
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