content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
If n is a positive integer, is (1/10)^n < .01?
Author Message
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If n is a positive integer, is (1/10)^n < .01? [#permalink] 22 Jun 2008, 23:17
... | 4 | [
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Domain and Range of the parametric equation
March 25th 2009, 03:33 PM
oceanmd
Domain and Range of the parametric equation
Please check whether the following problem s solved correctly. Thank you.
Graph the following parametric equation. Identify the domain and range. Eliminate the parameter.
x=2+q
y=... | 4 | [
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College Savings Plan
March 26th 2012, 04:57 PM
hardestproblemever
College Savings Plan
Hey Guys,
I am trying to figure out this problem dealing with a college savings plan for my kids.
Its currently September.....my kids are 14,13, and twins at 11. They are all planning on going to college in September ... | 4 | [
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Bessel's equation
April 10th 2011, 12:38 PM #1
Senior Member
Joined
Aug 2009
Posts
349
Bessel's equation
ok im supposed to find the general solution of the differential equation on
im a little, well a lot stuck on this problem....
$4x^{2}y''+4xy'+(4x^{2}-25)y$
i do remember getting it into... | 4 | [
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Calculating Tunneling Probability
E1982
Another attempt at the equation
|[tex]T^2[/tex]| = [tex] e^{-2 \alpha x} dx [/tex] where alpha = [tex] \sqrt{2m/h^2 * (V-E)}[/tex]
So final equation to use would be |[tex]T^2[/tex]| = [tex] e^{-2 \int \sqrt{2m/h^2 * (V-E) }dx} [/tex]
This is the one I think!
So now only qu... | 4 | [
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linear recurrence sequences
February 13th 2010, 12:26 PM #1
Newbie
Joined
Feb 2010
Posts
4
linear recurrence sequences
i am having trouble with this sequence:
x1=3 xn+1=0.8 xn-5 (n=1,2,3....)
how do i find a closed form, also in the tenth term correct to 4SF
Can someone explain how can i d... | 5 | [
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Non-degenerate tensors?
I had an additional question here, hope someone can suggest:
This is a HW I had many years back, that I was never able to answer:
I am trying to show that a bilinear map B(x,y) in a fin.dim inner-prod. space
(V,<,>)is non-degenerate iff the representing matrix is skew-symmetric ( for the matrix... | 4 | [
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A-level Chemistry/OCR (Salters)/Buffer solutions
Calculating the pH of a buffer solutionEdit
$\mbox{pH} = -\log_{10}{ \left ( K_a \frac{\left [ \mbox{acid} \right ]}{\left [ \mbox{salt} \right ]} \right ) }$
DerivationEdit
For any equilibrium
$a\mbox{A} + b\mbox{B} \rightleftharpoons c\mbox{C} + d\mbox{D} \,\!$
th... | 4 | [
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Congruence Problem
June 18th 2011, 06:15 PM
VinceW
Congruence Problem
This is from chapter on linear congruences:
Show that if p is an odd prime and a is a positive integer not divisible by p, then the congruence $x^2 \equiv a \pmod {p}$ has either no solution or exactly two incongruent solutions.
I ca... | 4 | [
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Troublesome Integral 2
Sorry, the first version was incorrect. This is the correct integral. $<br /> \int (xe^{2x})/(2x + 1)^2 dx<br />$
Wolfram tells me that you need to use the Series expansion... integral[(x*Exp[2*x] )/((2*x + 1)^2)] - ... | 5 | [
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2 Related Rates Problems!!
October 17th 2012, 04:08 PM #1
Junior Member
Joined
Oct 2012
From
US
Posts
37
This 2 questions on my review are killing me and I don't know what to do. Please any help on how to solve these two? Instructions would be helpful.
1. Water is drained out of a tank in the sha... | 5 | [
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Derivative chain rule help
October 18th 2009, 03:54 PM #1
Junior Member
Joined
Oct 2009
Posts
30
Derivative chain rule help
Basically the Problem gives a table, but the way it words the problem kinda confuses me a bit:
Suppose that the function f and g and their derivatives with respect to x have the... | 5 | [
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Patent US20030215022 - OFDM detection apparatus and method for networking devices
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] The invention relates to wireless networking, and more particularly to a detection scheme of Orthogonal Frequency Division Multiplexing (OFDM) signals for an IEEE 802.1... | 4 | [
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Congruent Diagonalization
May 13th 2010, 06:14 PM
demode
Congruent Diagonalization
http://img24.imageshack.us/img24/7783/44818829.gif
So, in the answer I don't understand how they obtained
$L= \begin{pmatrix}1 & 0 & 0 \\ 3 & 1 & 0 \\ 1 & -1 & 1 \end{pmatrix}$
I don't think this "L" here is the low... | 5 | [
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Mean Value Theorem
November 6th 2006, 07:38 PM #1
Junior Member
Joined
Oct 2006
Posts
36
Mean Value Theorem
can someone please explain step by step what to do? thanx!!
Use analytic methods to find a) the local extrema, b) the intervals on which the function in increasing, and c) the intervals on whi... | 5 | [
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Problem Finding the Speed of Particle (Vector)
October 27th 2012, 02:23 PM #1
Junior Member
Joined
Aug 2012
From
Texas
Posts
49
Problem Finding the Speed of Particle (Vector)
Hey everyone,
I am having a bit of difficulty solving this problem. It says:
A particle has position function $\ r(t) ... | 4 | [
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Patent US5587710 - Syntax based arithmetic coder and decoder
CROSS REFERENCE TO RELATED APPLICATION
This application is related to and incorporates by reference in its entirety U.S. patent application Ser. No. 08/359,241, filed Dec. 16, 1994, entitled "Syntax Based Arithmetic Coding for Low Bit
Rate Videophone."
CROS... | 4 | [
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0.01519775390625,
0.0... | 17,316 | 17316 | |
Diff Eq - Existence/uniqueness theorem
February 8th 2009, 12:27 PM #1
Member
Joined
Aug 2007
Posts
96
Diff Eq - Existence/uniqueness theorem
So the question is:
Using the existence and uniqueness theorem, show that the differential equation dy/dt = sqrt(y-1), with initial condition that y(0)=2, has a... | 4 | [
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Patente US5627896 - Method of controlling a disturbance
FIELD OF THE INVENTION
This invention relates to the area of active control of noise and vibration. Specifically, the invention relates to improvements in implementations of least mean square (LMS) and Filtered-x LMS
algorithms for controlling active systems.
BA... | 4 | [
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A (apparently?) non-local quantum field theory
I need to derive the euler-lagrange equations for the following non-local lagrangian density for a complex scalar field ψ
[itex]\mathcal{L} = \partial_{\mu}\psi^* \partial_{\mu}\psi - \lambda \int dy\, f(x,y) \psi^*(y) \psi(y)[/itex]
where λ is the coupling constant, f i... | 4 | [
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-0.0844... | 17,319 | 17319 | |
Basis for orthognal vector
April 6th 2011, 07:10 PM #1
Junior Member
Joined
Sep 2008
Posts
29
Basis for orthognal vector
In R3 let S=span((1,2,4)^T)
What is a basis for S^(perpendicular)?
I know that 0=x*y=1y1+2y2+4y3
and that y2 and y3 are free variables so y1=-2y2-4y3
i have then tr... | 5 | [
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... | 17,320 | 17320 | |
integrating factor Solve x(dy/dx)=y+x^3
Solve x(dy/dx)=y+x^3 when y=3 and x =1 have i done this correct ?
It all looks good until you say $\displaystyle \int P ~dx = -\frac{1}{x} = \ln x$ which makes little sense. You are trying to find an integrating factor $\displaystyle I = e^{\int -\frac{1}{x}~dx}$
go from there.... | 5 | [
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f(x)=b*a^x
April 22nd 2008, 02:22 AM #1
Junior Member
Joined
Mar 2008
Posts
58
f(x)=b*a^x
Here is a question I want you to look into. I want to see where I have gone wrong.
In 1948 there was 823 cancerpatients. I 1993 there was 5707 cancerpatients. Find the values a and b. Facit: a = 1.045 b = 770
... | 4 | [
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Brevet US5671022 - Image processing system and method for converting YCbCr data composed of luminance and chroma into RGB data of three primary colors
BACKGROUND OF THE INVENTION
The present invention relates to an image processing system and method for converting YCbCr data composed of luminance and chroma into RGB d... | 4 | [
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... | 17,323 | 17323 | |
How to find nonsingular matrix?
April 20th 2009, 07:04 AM
jennifer1004
How to find nonsingular matrix?
Find, if possible, a nonsingular matrix P such that $P^{-1}AP$ is diagonal.
$<br /> \begin{pmatrix}1 & 1 & 2\\0 & 1 & 0\\0 & 1 & 3\end{pmatrix}<br />$
April 20th 2009, 07:24 AM
TheEmptySet
Quote:
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Wallis product.
1. August 16th 2010, 06:46 PM #1
Wallis product.
Last edited by mr fantastic; August 16th 2010 at 09:12 PM. Reason: Re-titled.
2. August 16th 2010, 07:53 PM #2
The first part is straightforward, just plug in x = 1. For the second part, what is meant by compare? Are you asked... | 5 | [
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Summation identity
Why is the following identity true? $\sum_{r=1}^{n}r^2 = \frac{1}{6} n(n+1)(2n+1)$
sorry, had problems posting the equation. It is there now
The best way to answer this 'why?' is to prove it yourself. Do you know of mathematical induction?
$\sum_{r=0}^{n}r^2=?$ Solution via 'Differences Series' (O... | 5 | [
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Patent US6009437 - Linear fitting with missing data: applications to structure-from-motion and to characterizing intensity images
CROSS-REFERENCE TO RELATED APPLICATIONS
This is a conversion of provisional application Ser. No. 60/041,695, filed Mar. 25, 1997, and provisional application Ser. No. 60/043,540, filed Apr.... | 4 | [
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0.111328125... | 17,327 | 17327 | |
[solved] ss
November 23rd 2009, 02:05 PM #1
Member
Joined
Feb 2009
Posts
138
[solved] ss
Hi:
Let K be a field and, for a, b in K \ {0}, write a ~ b if ab is a sum of two squares in K. The author writes: why is ~ an equivalence relation? I see that for any a, b in K \ {0}, ab= ab + 0,
where 0 is a... | 4 | [
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Why does valence electrons not produce electric field in the space?
HomogenousCow
Well can you calculate the electric field of an electron in a hydrogen atom, or at least write a differential equation for it?
Maxwell's Equations with ##\small \rho = q_e\psi^{*}\psi##. Here, ##\small q_e## is the electron charge. So... | 5 | [
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Viete's relations problem
rock.freak667
Let [itex]P(x)=x^3 -10x+11=0[/itex]
what is u+v+w,uv+uw+vw and uvw ?
and what you want to get is [itex]tan^{-1}(u)+tan^{-1}(v)+tan^{-1}(w)[/itex]
if we let [itex]A=tan^{-1}(u);B=tan^{-1}(v);C=tan^{-1}(w)[/itex]
thus making tanA=u;tanB=v and tanC=w, are able with some trig ... | 4 | [
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Two problems with solutions...help!!
January 25th 2008, 08:05 AM #1
Junior Member
Joined
Jan 2008
Posts
63
Two problems with solutions...help!!
Sergio plans to paint the 4 walls of his room with 1 coat of paint. The walls are rectangular, and, according to his measurements, each wall is 10ft by 15ft. He ... | 4 | [
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Guess a simple for for P_n for this sequence
February 27th 2013, 05:22 PM
hcuk
Guess a simple for for P_n for this sequence
I just need to find the pattern to a), which i am having the hardest time doing.
P[2] = 2/3
P[3] = 5/8
P[4] = 3/5
P[5] = 7/12
P[6] = 4/7
P[7] = 9/16
Thanks in ... | 4 | [
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Please help derive angle theta_s in terms of angle theta
September 10th 2009, 10:40 AM #1
Member
Joined
Sep 2009
Posts
242
Thanks
1
Derive angle under spiral radius in terms of unit circle angle
Please see the attached thumbnails. I have here this lovely archimedean spiral inscribed within a unit cir... | 4 | [
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... | 17,333 | 17333 | |
Math proof
I can make some math proofs which are (obviously) wrong. Your mission is to find out why the proofs ain't correct. When someone have submitted a good explanation, I will give you a new one..
Let's start simple.
x = y
Divide by (x-y)
x/(x-y) = y/(x-y)
Subtract y/(x-y)
x/(x-y) - y/(x-y) = 0
Write on same den... | 5 | [
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Principle of Differentiation and Integration query
July 22nd 2010, 01:02 PM #1
Principle of Differentiation and Integration query
Hi Folks,
if we have an implicit function $z=x^2-4y^2+5xy-6=0$ eqn1
then we can find the standard derivative $\frac{dz}{dx}=2x-8y\frac{dy}{dx}+5x\frac{dy}{dx}+5y$ eqn 2 and
... | 5 | [
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Patente US8137175 - Pari-mutuel wagering system
RELATED APPLICATION DATA
The present application is entitled to the benefit of and claims priority from the commonly owned, co-pending applications for patent having at least one inventor in common herewith entitled
“Pari-mutual Wagering System,” Ser. No. 60/656,214, fil... | 4 | [
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Generating function for a sequence
April 27th 2011, 01:03 AM
mehn
Generating function for a sequence
The question is as follows:
It is known that the generating function for the sequence , {1,8,27,64,...} is
[x(x^2 + 4x +1)]/(1-x)^4
Use the result to show summation from r=1 to n of r^3 = [n^2(n^2+1)]... | 5 | [
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[SOLVED] Normal Subgroups: Prove g^2 is in H for all g in G.
June 3rd 2009, 10:10 AM #1
[SOLVED] Normal Subgroups: Prove g^2 is in H for all g in G.
Can someone help me with this proof?
Let H be a subgroup of G with index 2.
Prove that g² ∈ H for all g ∈ G.
Thanks!
A subgroup of index 2 is norm... | 5 | [
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how to slove the congruence s.t x^2+1=0 mod 5 ??
how to slove the congruence such that $<br /> x^{2}+1\equiv 0 (\bmod 5)<br />$ cheers!
Since you're working in mod 5 you just need to check the values 0,1,2,3,4. For 0 we have, $0^2 + 1 = 1$ For 1 we have, $1^2 + 1 = 2$ For 2 we have, $2^2 + 1 = 5 = 0$ mod 5 For 3 we h... | 4 | [
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-0.030... | 17,339 | 17339 | |
chi square degrees of freedom
February 17th 2010, 07:40 AM #1
Newbie
Joined
Feb 2010
Posts
1
chi square degrees of freedom
If X and Y are independent random variables, X having a chi-square distribution with 3 degrees of freedom, and X+Y having a chi-square dist with 7 degrees of freedom, prove that Y ha... | 4 | [
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Functions! f(x)=
January 5th 2009, 01:21 AM #1
Junior Member
Joined
Oct 2008
Posts
50
Functions! f(x)=
ok so i have my core 1 exam on friday and am struggling with SOME functions.
i am at work and dont have the question for reference but its alogn the lines of
(x-2) is a factor of f(0)
fi... | 4 | [
0.0091552734375,
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My Constraint Programming Blog
Nontransitive dice, Ormat game, 17x17 challenge
Here are some new models done the last weeks and some older not mentioned before. (I have also spent some time with
Numberjack
, a Python based solver, and will blog about this later on.)
Nontransitive dice
MiniZinc:
nontransitive_dice... | 5 | [
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0.0390625,
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-0.01904296875,
0.08447265625,
-0.01428... | 17,342 | 17342 | |
Finding minimum variance unbiased estimator (MVUE)
March 30th 2010, 03:49 PM
redwings6
Finding minimum variance unbiased estimator (MVUE)
Random sample Y1,....,Yn with pdf:
f(y|θ) = 3y^2/θ^3, 0<y<θ and 0 elsewhere
Given Y(n) = max(Y1,...,Yn) is sufficient for θ,
a) Show that Y(n) has pdf:
f(n)(y... | 4 | [
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0.0... | 17,343 | 17343 | |
Measuring by Shadows
Date: 05/22/2001 at 07:55:02
From: Andreza Rio Branco
Subject: Measuring by shadow
How can I measure a tree using its and my shadows?
Date: 05/23/2001 at 08:21:25
From: Doctor Rick
Subject: Re: Measuring by shadow
Hi, Andreza, thanks for writing to Ask Dr. Math!
The secret is in the sun's ra... | 4 | [
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Geometric picture of invariant differential of an elliptic curve
up vote 5 down vote favorite
4
What is the geometric meaning of $\omega=dx/(2y+a_1x+a_3)$ for an elliptic curve?
This question is an adjunct to MO Q1 on formal laws and L-series, which motivated Q2. Q1 (Silverman) and Darmon (pg. 6) state:
The invarian... | 4 | [
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Linear Transformations in Normed Spaces
June 3rd 2009, 07:05 PM
Jose27
Linear Transformations in Normed Spaces
I know this is easy, but I can't find the way to prove this:
Let $l:(V,\Vert . \Vert _V) \longrightarrow (W,\Vert . \Vert _W)$ be a linear transformation. Show that if $l$ is continous at $0$ then ... | 5 | [
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... | 17,346 | 17346 | |
Locus question
Hi, I have this problem: If 'R' is the fixed point (3,2) and 'P' is the movable point (x,y) Find the equation of the locus of 'P' if distance PR is twice the distance from P to y=-1 Thanks!
Hello, withyou! Did you make a sketch? Exactly where is your difficulty? $R$ is the fixed point (3,2), and $P$ is ... | 4 | [
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0... | 17,347 | 17347 | |
-Open Sets and Soft
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 891341, 7 pages
http://dx.doi.org/10.1155/2014/891341
Research Article
Soft -Open Sets and Soft -Continuous Functions
Department of Mathematics, Cumhuriyet University, 58140 SİVAS, Turkey
Received 11 November 2013; Accepted 25 Decembe... | 5 | [
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Math Help
May 17th 2012, 06:44 PM #1
$a_1b^2_2c_1=a_2b^2_1c_2$This is given.and then If the roots of $a_1x^2+b_1x+c_1=0$ are $\alpha_1,\beta_1$and the roots of $a_2x^2+b_2x+c_2=0$are $\alpha_2,\beta_2$Then prove $\frac {\alpha_1} {\
beta_1}=\frac {\alpha_2}{\beta_2}\ \mbox{or}\ \frac {\alpha_1} {\beta_1}=\fra... | 4 | [
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Find all solutions for and exact value of...
May 6th 2009, 03:58 PM
alexcross
Find all solutions for and exact value of...
1) Find all solutions θ
0° ≤ θ < 360° to the equation cos(2θ) = cosθ
2) Find the exact value of cot(795°)
I have no idea how to do these, any help or tips?
May 6th 2... | 4 | [
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-... | 17,350 | 17350 | |
help with probability question please!
February 10th 2013, 05:41 PM #1
Junior Member
Joined
Jan 2009
Posts
57
help with probability question please!
Suppose you have 10 cards, 5 labeled "placebo" and 5 labeled "test." You
place them at random into 10 envelopes, 5 labeled "placebo" and 5 labeled "test... | 4 | [
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Newton's law of cooling.
March 11th 2010, 04:29 PM #1
Newbie
Joined
Mar 2010
Posts
1
Newton's law of cooling.
Hi Everyone, can someone please help me with this? It has to do with Newton's Law of cooling.
A fast food resturant wants a container that can quickly cool coffee from 200 degrees to 130 deg... | 4 | [
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My Agriculture Information Bank - Quantity of Irrigation Water - How Much to Irrigation
Current Category » Water Management Including Micro Irrigation
... | 4 | [
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... | 17,353 | 17353 | |
Simple Calc Question - don't know how to start
April 13th 2010, 08:34 PM #1
Simple Calc Question - don't know how to start
Find $y$ as a function of $x$ if
$\frac{dy}{dx} = y(2x+1)$
and $y = -3$ when $x = 0$.
Any idea on where to get started? I have no clue...
This is a first order linear diff... | 5 | [
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0.022705078125,
0.1259765625,
-0.125,
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0.0693359375,
-0.033447265625,
-0.009521484375,
-0.0284423828125,
0.03466796875,
-0.0... | 17,354 | 17354 | |
Brevet US6279569 - Determination of leak and respiratory airflow
This Application is a Continuation Application of U.S. patent application Ser. No. 08/911,513 for DETERMINATION OF LEAK AND RESPIRATORY AIRFLOW, filed Aug. 14, 1997, now U.S. Pat. No. 6,152,129.
FIELD OF THE INVENTION
The invention relates to methods an... | 4 | [
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-0.052490234375,
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0.07... | 17,355 | 17355 | |
Patent US8130956 - Efficient and low power encrypting and decrypting of data
CROSS REFERENCE TO RELATED APPLICATIONS
This application claims the benefit of co-pending European Patent Application No. EP07113715, filed 2 Aug. 2007, which is hereby incorporated herein.
FIELD OF THE INVENTION
The present invention relat... | 4 | [
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Transitive relation
February 18th 2009, 08:54 PM #1
Member
Joined
Nov 2007
Posts
108
Transitive relation
1)Prove or disprove: If A is a set for which each $R \in A$ is a transitive relation, then $\bigcup A$ is a transitive relation.
I think this is true. So I tried to prove it. Let $(x,y) \in \bigc... | 4 | [
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-0.0059204... | 17,357 | 17357 | |
[SOLVED] Solve the following differential equation?
Solve the following differential equation: $3x^2y^2 + \cos (xy) - xy \sin (xy) + \frac{dy}{dx}\{2x^3y - x^2\sin (xy)\} = 0$
$\frac{dy}{dx}\{2x^3y - x^2\sin (xy)\} = xy \sin (xy) -3x^2y^2 - \cos (xy) +xy \sin (xy)$ $\frac{dy}{dx} = \frac{xy \sin (xy) -3x^2y^2 - \cos (... | 5 | [
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0.021... | 17,358 | 17358 | |
Simultaneous Equations
Solve the simultaneous equations using the substitution method. (a) 2x+3y= 22 3x+2y= 28 (b) 3x-2y= 28 4x+5y= -1 Thanks :)
2x+3y= 22------ 1 3x+2y= 28------ 2 We will do elimination by equating coefficient: In this we multiply either 1 or both the equations by suitable numbers to ensure that the ... | 4 | [
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0.00988769... | 17,359 | 17359 | |
Roots of quadratic equation
June 22nd 2010, 07:31 PM #1
Newbie
Joined
Jun 2010
Posts
21
Roots of quadratic equation
The roots of the quadratic equation $16x^2 + 7x + 4 = 0$ are $\alpha^2$ and $\beta^2$. Find two distinct quadratic equations whose roots are $\alpha$ and $\beta$.
My steps:
Sum of... | 4 | [
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0.020263671875,
-... | 17,360 | 17360 | |
geometry/algebra. Areas with only perimeter given
April 29th 2008, 09:55 AM #1
Newbie
Joined
Apr 2008
Posts
2
geometry/algebra. Areas with only perimeter given
I am having trouble figuring out where to begin.
The problem:
A figure has the shape of a square with semicircles on each side. The figu... | 4 | [
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quick simplifying question
July 9th 2009, 12:51 AM #1
Junior Member
Joined
Jul 2009
Posts
36
quick simplifying question
i have a quick question with simplifying a variable expression can someone tell me what one is correct? heres the problem 8-12x+20 is simplified to what A)28-12x or B)-12x+28?
Both... | 4 | [
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Problem 15
January 15th 2007, 05:35 PM
ThePerfectHacker
Problem 15
Behold! A plain simple isoseles triangle appears besides you. Frozen in a white boring background this triangle is full of supprises. You must locate the angle by the red lines.
The angle is not 30, it is 20, sorry..
January 17th 2007, 10:43... | 5 | [
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Please help with PDE in polar coordinates.
October 31st 2013, 03:25 PM #16
Junior Member
Joined
Jul 2013
From
Arizona
Posts
44
Thanks
2
Re: Please help with PDE in polar coordinates.
Or should I write this as differentiate respect to x only in my example.
$r^2=x^2+y^2\;\Rightarrow\;\frac{dr}... | 5 | [
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Noncompact Equilibrium Points and Applications
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 373462, 9 pages
http://dx.doi.org/10.1155/2012/373462
Research Article
Noncompact Equilibrium Points and Applications
^1Research Chair on Applied and Actuarial Mathematics, Department of Mathematics, College ... | 5 | [
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Singular Value Decomposition
14.4 Singular Value Decomposition
A general rectangular M-by-N matrix A has a singular value decomposition (SVD) into the product of an M-by-N orthogonal matrix U, an N-by-N diagonal matrix of singular values S and the transpose of
an N-by-N orthogonal square matrix V,
The singular value... | 4 | [
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0.... | 17,366 | 17366 | |
arccos(cos4), arctan(tan4)
Is it 4 degrees or 4 radians. If radians: $\text{arccos} (\cos4) eq 4$ because the range of arcos is $0 \leq \text{arcos} x \leq \pi$ ...... 4 radians is in the third quadrant - outside the range of
arcos. So you need the 'equivalent' angle that's in the second quadrant - the second quadant i... | 4 | [
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Prove sup(ab)=sup(a)sup(b)
August 5th 2012, 03:40 PM
gordo151091
Prove sup(ab)=sup(a)sup(b)
Hey, this is the problem
$A,B \subset \mathbb{R}$ A,B Bounded. Let
$AB :=\left \{ ab:a \in A, b \in B \right \}$. Proof $sup(A)sup(B)=sup(AB)$
I proofed that $xy \leq sup(A)sup(B) \forall x \in A, y \in B$ (... | 5 | [
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Mark Needham
Archive for the ‘graphs’ tag
Since I now spend most of my time surrounded by graphs I thought it’d be interesting to learn a bit more about graph processing, a topic my colleague Jim wrote about a couple of years ago.
I like to think of the types of queries you’d do with a graph processing engine as bein... | 5 | [
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Conversion (Trigonometry Variable To Standard Variable)
January 10th 2009, 10:37 AM #1
Conversion (Trigonometry Variable To Standard Variable)
I came across an example when understanding Fourier Series. There was one part where they converted a trigonometry function to standard variable. They did this:
$\fra... | 5 | [
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Patent US7346592 - Method and an apparatus for predicting intake manifold pressure of an internal-combustion engine
REFERENCE TO RELATED APPLICATIONS
This application is a divisional of U.S. application Ser. No. 10/695,486, filed Oct. 29, 2003. The contents of the prior application is hereby incorporated by reference.... | 4 | [
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Division problem with GCD
February 3rd 2007, 07:47 PM
tttcomrader
Division problem with GCD
Let r, s, and t be integers, and suppose gcd(r,s)=1, r|t, and s|t.
Prove rs|t.
My work so far:
I have attempted to use the definition of gcd and division to solve the problem.
There exist integers a,b,... | 4 | [
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Half-life of radioactive substance
1. The problem statement, all variables and given/known data
If 20% of a radioactive substance disappears in 70 days, what is its half-life?
2. Relevant equations
y = C*e^(k*t)
where t is time in days
k is the constant of proportionality?
y is the current amount of substance
3. T... | 4 | [
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The MLFMA Equipped with a Hybrid Tree Structure for the Multiscale EM Scattering
International Journal of Antennas and Propagation
Volume 2014 (2014), Article ID 281303, 6 pages
http://dx.doi.org/10.1155/2014/281303
Research Article
The MLFMA Equipped with a Hybrid Tree Structure for the Multiscale EM Scattering
Sta... | 4 | [
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Free groups and subgroups
January 12th 2013, 05:18 AM #1
Free groups and subgroups
Let $F_2$ be the free group on two generators $F_2=<x,y>$. Prove that the free group on 3 generators $F_3$ is a subgroup of $F_2$.
Not completely sure how to go about doing this. So $F_3=<x,y,z>$. Can I show that z can be writ... | 4 | [
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Solve Logarithm
October 28th 2008, 09:27 AM #1
Newbie
Joined
Oct 2008
Posts
3
Solve Logarithm
I'm having the same kind of problems on all of the following problems: I cannot seem to isolate X. Help if you can!
1. 5^(x+1)=e^x
2. 3^(x+1)=(9^x)(27^(x+1))
3. 10^(2x+1)=4^(x+1)
4. 5^(3x-2)=3^(... | 4 | [
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error C2664: 'F_Ite' : cannot convert parameter 1 from 'double *' to 'double'
Hi all C++ experts,I am new in C++ & got an
error C2664: 'F_Ite' : cannot convert parameter 1 from 'double *' to 'double' . please anyone help me out fron this problem & please tell me something about this whitch help me in future.
Thanks
... | 4 | [
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Finding the limit
June 27th 2013, 09:45 PM
math604
Finding the limit
Hi, I need to find the limit of this trigonometric function.
Attachment 28684
I used the trig identity for the cosine, the one for cos(a+b), and i get -sinh.
Attachment 28685
Now I'm stuck. I think I should use the squeeze t... | 5 | [
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Modeling of the Response Time of Thermal Flow Sensors
Open Access This article is
• freely available
• re-usable
Article
Modeling of the Response Time of Thermal Flow Sensors
^2
IGS (International Graduate School for Dynamics in Logistics), University of Bremen, c/o BIBA Hochschulring 20, D-28359 Bremen, Germa... | 4 | [
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[SOLVED] show zero x vector in v3, (cross product)
February 23rd 2009, 09:01 PM #1
Senior Member
Joined
Jan 2007
Posts
477
[SOLVED] show zero x vector in v3, (cross product)
must show that 0 x a and a x 0 = 0 for any vector a in V3
so would this be sufficient:
<0, 0, 0> x <1, 2, 3> = 0
and... | 4 | [
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0.0... | 17,380 | 17380 | |
Frustrating word problems
April 1st 2008, 02:43 AM #1
Newbie
Joined
Apr 2008
Posts
16
Frustrating word problems
Hello, I am new to these forums. After hitting a wall on my take-home quiz, I am on the hunt for some assistance. Our professor told us we can use any means necessary to get help, so I am doing... | 4 | [
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-0... | 17,381 | 17381 | |
Absolute Value of Complex Numbers
September 7th 2009, 04:55 PM #1
Absolute Value of Complex Numbers
I've been staring at this problem for quite some time...
Let z belong in C such that |z| = 1. Compute |1+z|^2 + |1-z|^2
If it was like |z + w|^2 where w was also a complex number, then that would be a lot... | 4 | [
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Show that u(x,t) satisfies this partial differential equation
February 21st 2011, 05:40 AM
maximus101
Show that u(x,t) satisfies this partial differential equation
For $x$$\in$$R$ and $t > 0$ , define
$u(x, t) :=$$\int_0^{x/\sqrt{t}} \! e^{-s^2} \, \mathrm{d}s$
Show that u satisfies the partial differen... | 5 | [
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... | 17,383 | 17383 | |
Functions
Prove that if f' and g' are continuous on a line interval [a,b] then http://www.cramster.com/Answer-Board...6080265979.gif
Hello, Mathstud : I think he wants to demonstrate it :p $\int_a^b f(x)g'(x)dx=? f(x)g(x)|_a^b -\int_a^b g'(x)f(x) dx$ Consider f(x)g(x) $f(x)g(x)|_a^b = \int_a^b \left(f(x)g(x) \right)' ... | 5 | [
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0.0456542... | 17,384 | 17384 | |
Rearranging an equation
October 16th 2008, 11:16 AM
mezhopking
Rearranging an equation
I have the following equation:
t(t - x) = 3y(3y - x)
And I need to rearrange it to find x in the terms of y and t, in simplest form. (Assuming that 3y - t is not equal to 0).
Please could anyone be so kind as to ... | 4 | [
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Question on potential calculation
February 15th 2010, 11:07 AM #1
Member
Joined
Feb 2009
Posts
130
Question on potential calculation
Hi everyone
need help for this question, im not sure what formula to use.really appreciate if someone can help me.
A proton with an energy of 1.5 eV impinging on a... | 5 | [
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Patent US20060193294 - Mimo signal processing method involving a rank-adaptive matching of the transmission rate
CROSS REFERENCE TO RELATED APPLICATIONS
This application is based on and hereby claims priority to PCT Application No. PCT/DE2003/003713 filed on Nov. 10, 2003 and German Application No. 102 54 384.4 filed ... | 4 | [
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0.05224... | 17,387 | 17387 | |
Patent US20070101243 - Method for puncturing a low density parity check code
PRIORITY
This application claims priority under 35 U.S.C. §119 to an application filed in the Korean Intellectual Property Office on Sep. 30, 2005 and assigned Serial No. 2005-92573, the contents of which are
incorporated herein by reference.... | 4 | [
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0.... | 17,388 | 17388 | |
Pricing Variance Swaps for Stochastic Volatilities with Delay and Jumps
International Journal of Stochastic Analysis
Volume 2011 (2011), Article ID 435145, 27 pages
http://dx.doi.org/10.1155/2011/435145
Research Article
Pricing Variance Swaps for Stochastic Volatilities with Delay and Jumps
^1Mathematical and Comput... | 4 | [
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... | 17,389 | 17389 | |
GMAT Errors: Avoid Face-Palm Moments
GMAT Errors: Avoid Face-Palm Moments
How many times have you reviewed a question that you missed in practice and had that “face-palm” moment in which you realize that you missed something because you stopped too soon or solved for the
opposite or just a portion of what the questi... | 4 | [
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Proving : existance of the inverse/ bijective
May 10th 2009, 06:24 PM #1
Proving : existance of the inverse/ bijective
I don't know how to prove the following : Let $f:A \to B$ be a function. Prove that $f$ has an inverse if and only if $f$ is bijective.
I'm lacking of any idea about proving $\Rightarrow$ and... | 5 | [
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Algorithm Improvement of the Low-End GNSS/INS Systems for Land Vehicles Navigation
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 435286, 12 pages
http://dx.doi.org/10.1155/2013/435286
Research Article
Algorithm Improvement of the Low-End GNSS/INS Systems for Land Vehicles Navigation
GNSS Resear... | 4 | [
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Patent US6661363 - System and method for adaptive sigma-delta modulation
TECHNICAL FIELD AND BACKGROUND ART
The invention generally relates to signal processing, and more particularly, to analog to digital conversion using sigma-delta modulation. Sigma-delta (Σ-Δ) modulation is a widely used and thoroughly
investigate... | 4 | [
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... | 17,393 | 17393 | |
Patent US6711514 - Method, apparatus and product for evaluating test data
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to methods, apparatus and products for quality control. In another aspect, the present invention relates to methods, apparatus and products for analyzing a qual... | 4 | [
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Summations
11.9 Summations
The a + (calc-summation) [sum] command computes the sum of a formula over a certain range of index values. The formula is taken from the top of the stack; the command prompts for the name of the
summation index variable, the lower limit of the sum (any formula), and the upper limit of the su... | 5 | [
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-0.041259765625,
0.019531... | 17,395 | 17395 | |
Solving a radical equation
May 6th 2011, 11:51 PM
DjNito
Solving a radical equation
I am not too sure on how to actually solve this radical equation been stuck on it for a while the equation is:
\sqrt{2x+6} - \sqrt{x+4} =1
any help would be awesome
thanks in advance
May 7th 2011, 12:02 AM
Chris L... | 4 | [
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Derivative discretization with fixed boundary condition
Also there is another small confusion..
say I have an eq like this >>
-------------------------------------------------
[itex]\dot{u} = \partial_x{f(\partial_x{u})} [/itex]
and if my BC now is >>
[itex]\partial_x{u} = 0[/itex] at both ends for all time.
----... | 4 | [
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Patent US5491705 - De bruijn graph based VLSI viterbi decoder
STATEMENT OF GOVERNMENT INTEREST
The invention described herein may be manufactured and used by or for the Government for governmental purposes without the payment of any royalty thereon.
The present invention provides a Viterbi decoder based on the De Bru... | 4 | [
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Patent US5105464 - Means for improving the speech quality in multi-pulse excited linear predictive coding
DESCRIPTION CROSS-REFERENCE TO RELATED APPLICATION
This application is related in subject matter to Richard L. Zinser application Ser. No. 07/353,855, filed May 18, 1989 concurrently herewith for "Hybrid Switched ... | 4 | [
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0.... | 17,399 | 17399 |