content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Complex trig equation
June 14th 2011, 07:52 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Complex trig equation
The question
Find all solutions to $z \in C$ of:
cosh(z) = 2i
My attempt
$cosh(z) = \frac{e^z + e^{-z}}{2} = 2i$
$e^z + e^{-z} = 4i$
$e^{2z} + 1 = 4ie^z$ //multiply b... | 5 | [
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quadratic equation problem
$x^2+p=4x+2$ is three time the other roots.Find the value of $p$. please help..i dont know how to do..(Crying)
Can you be a little more specific? Do you mean that if $x=a$ is a root, then the other root is $x=3a$? Then find the corresponding $p$?
in that case, rewriting the equation as: x^2... | 4 | [
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... | 18,201 | 18201 | |
Math Induction
February 27th 2008, 11:46 AM #1
Member
Joined
Sep 2006
Posts
221
Math Induction
Given a sequence of #'s $a_1, a_2, a_3, a_4, \ldots$ which is defined by:
$a_1 = 1$
$a_2 = 2$
$a_n = a_{n-1} + a_{n-2}\ \ n \geq 3$
Prove, using math induction:
$a_n < \left(\frac{7}{4}\r... | 5 | [
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A Numerical Model for Torsion Analysis of Composite Ship Hulls
RETRACTED
This article has been retracted as it is found to contain a substantial amount of materials from the previously published papers: (1) Ionel Chirica, Sorin Dumitru Musat, Raluca Chirica, and
Elena-Felicia Beznea, “Torsional behaviour of the ship hu... | 4 | [
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Determining Distribution using normal/chi-square
1. The problem statement, all variables and given/known data
Suppose X,W,Y and Z are all independent. X & Y have a normal distribution. W has N(4,4) distribution while Z has a chi-square with 2 degrees of freedom.
a) What is the distribution of X^2 + Y^2 + Z?
b) What i... | 4 | [
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integration and summation
December 15th 2010, 03:41 PM #1
integration of a summation
Does $\int_{0}^{\infty} \frac{te^{-t}}{1+e^{-t}} \ dt = \int_{0}^{\infty} t \sum_{k=1}^{\infty} (-1)^{k-1} e^{-kt} \ dt$ just because $e^{-t} <1$ for $0 <t<\infty$?
Or is it also because the geometric series converges unifor... | 5 | [
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3 related rate problems, I am truly lost.
October 21st 2012, 01:09 PM #1
Newbie
Joined
Oct 2012
From
United States
Posts
3
3 related rate problems, I am truly lost.
Hi, i have no idea where to begin on these three related rate problems.
A water-flled spherical tank with a radius of 1 meter empti... | 5 | [
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Proposition 5
If a magnitude is the same multiple of a magnitude that a subtracted part is of a subtracted part, then the remainder also is the same multiple of the remainder that the whole is of the whole.
Let the magnitude AB be the same multiple of the magnitude CD that the subtracted part AE is of the subtracted ... | 4 | [
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Stability and Lyapunov functions
June 2nd 2009, 08:51 AM #1
Member
Joined
Jul 2007
Posts
90
Stability and Lyapunov functions
I've been trying to work out some problems but I haven't been able to... I don't quite understand the concept of stability and Lyapunov functions. This is my problem:
Consider... | 4 | [
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Fitting Data
Home • People • Courses • Program • Research • Clinic • Goals • Kiosk • News
Understanding Basic Statistics • Fitting • Exercise • Excel • Igor • Kaleidagraph • Origin • Power Laws • Dimensional Analysis
Fitting Data
A common and powerful way to compare data to a theory is to search for a theoretical cu... | 5 | [
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Radius of ball matters in fall speed!
Rotational KE actually does reduce speed off the ramp.
PE -> KE
##\small mgh = \frac{1}{2}mv^2 + \frac{1}{2}I\omega^2##
Now, for a solid sphere of uniform density, ##\small I = \frac{2}{5}mR^2##. And for any rolling object ##\small v = \omega R##.
##\small mgh = \frac{1}{2}mv^2... | 4 | [
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Solutions
127.
Let
$A={2}^{n}+{3}^{n}+216\left({2}^{n-6}+{3}^{n-6}\right)$
and
... | 5 | [
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Group Theory
September 28th 2011, 07:05 PM #1
Newbie
Joined
Sep 2011
Posts
21
Group Theory
I have the following problem which i have no idea how to proceed.
Let G be a finite group with odd number of elements. Show that for every $g \in G$, there exists an element $h \in G$ such that $g=h^2$.
I... | 5 | [
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Please check my answers :) (Factoring)
April 25th 2012, 09:36 AM
Kibbygirl
Please check my answers :) (Factoring)
Factor completely:
1. 5k^3- 40
5(k-2)(k^2 + 2k + 4)
2. t^2 - 81/169
(t + 9/13)(t - 9/13)
3. 12b^2+ 36b + 27
(2b+3)2
4. b^4- 16
(b^2 +4)(b+2)(b-2)
82. (... | 4 | [
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The Role of Compensatory Mutations in the Emergence of Drug Resistance
Corrections
23 Feb 2007: (2007) Correction: The Role of Compensatory Mutations in the Emergence of Drug Resistance. PLoS Comput Biol 3(2): e46. doi: 10.1371/journal.pcbi.0030046 | View correction
Abstract
Pathogens that evolve resistance to drugs... | 4 | [
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countable sets
May 18th 2012, 02:40 PM
stuffthings
countable sets
I need some help with this proof:
Let C be a countable set. Prove C^n is countable for all n.
I was thinking to show that the Cartesian product of any countable sets is countable by writing them out in a table and going through the eleme... | 5 | [
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Help with Solving equations involving factorial notation
Hi, i need help solving for n a) n!/(n-2)!=930 b) P(n,5)= 42 x P(n,3) Thank you
would I then go on to solve? n(n-1)=930 n2-n-930=0 (n-30)(n+31)=0 n=-30 or n=31 n=31 as it cannot be negative thanks again
b) P(n,5)= 42 x P(n,3) Could someone let me know if i do t... | 4 | [
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Prove that an nxn matrix is invertible
October 7th 2011, 08:23 AM
GreenyMcDuff
Prove that an nxn matrix is invertible
Afternoon all,
The question:
Let $A=\begin{bmatrix}1&x_1&x_1^2&...&x_1^{n-1}\\1&x_2&x_2^2&...&x_2^{n-1}\\1&.&.&...&.\\1&x_n&x_n^2&...&x_n^{n-1}\\\end{bmatrix}$ where $x_1,x_2,...,x_n$ a... | 5 | [
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Exponential and Log problems
April 22nd 2011, 09:59 PM #1
Member
Joined
Jun 2009
Posts
108
Exponential and Log problems
1. if 4e^(2-x)=128, find x, giving this answer in exact form.
2. solve the equation loge(3x+5)-loge(2)=2 for x.
3. solve for x given that log2(x)=y+log2(z). State restrictions... | 4 | [
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Projectile Motion: Range proof
Register to reply
by zanazzi78
Tags: motion, projectile, proof, range
P: 110 Q. A projectile is fired with an initial speed [tex]V_0[/tex] at an angle [tex]\beta[/tex] to the horitontal. Show ... | 4 | [
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chaeck for solution
March 1st 2007, 05:43 PM #1
Member
Joined
Nov 2005
Posts
111
chaeck for solution
Hi,
I have two probability problems and I need them to be checked please:
problem-1
A company makes plastic panel used in automobiles. The panel production process is such thast the number of... | 5 | [
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Vectors and Lines
June 20th 2011, 04:23 AM #1
Junior Member
Joined
May 2011
Posts
30
Vectors and Lines
Hi guys! Need help with this question please,
The plane pi1 has vector EQN: r . (2, 2, 1) = 13. The points P and Q, which are not in pi1, have position vectors 4i + 5j + 7k and 10i + 8j + k respect... | 5 | [
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Linear Approximation problem
October 17th 2013, 04:15 AM #1
Junior Member
Joined
Oct 2013
From
USA
Posts
34
Linear Approximation problem
Hi, I'm given the function f(x,y)= sqrt(x^2+y^2) and the points (3.01, 3.98). I think that once plugging the points in is simple enough but I'm confused as to where... | 5 | [
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Solutions for November Problems
Notes.
A real-valued function f(x) of a real variable is
increasing
if and only if u < v implies that f(u) £ f(v). The
circumcircle
of a triangle is that circle that passes through its three vertice... | 5 | [
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Mean velocity for parabolic velocity profile
Hi,
I'm making laminar fluid flow devices and want to be able to calculate the velocity as a function of distance from the channel edges. As the channels are relatively wide compared to their height I'm
treating the effect of the parabolic velocity profile as negligible in ... | 5 | [
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Appendix: Matlab Code
The following program designs a Type-I length-LL linear phase lplp filter with fixed transition bands. The code creates even sampling in the bands but it can easily be modified to accomodate for
uneven sampling. For other linear phase types the user can modify the definition of C according to (Ref... | 4 | [
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Implicit function, tangent line, HARDER THAN USUAL
October 4th 2009, 10:20 PM #1
Implicit function, tangent line, HARDER THAN USUAL
Ok, I'm sure all of you senior guys are tired of these problems, but this one is tricky. I'll stump you, I know it....if not for a few seconds:
The function
x^2 -4x +y^2 +3... | 5 | [
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The Shifting Demographic Landscape of Pandemic Influenza
Abstract
Background
As Pandemic (H1N1) 2009 influenza spreads around the globe, it strikes school-age children more often than adults. Although there is some evidence of pre-existing immunity among older adults, this
alone may not explain the significant gap in... | 4 | [
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0.06396484375,
0.029296875,
0.08203125,
0.09228515625,
-0.03271484375,
0.064453125,
0.01519775390625,
0.0654296875,
-0.0030670166015625,
0.022705078125,
0.0302734375,
0.0703125,
0.017333984375,
0.005889892578125,
-0.0206298828125,
-0.0869140625,... | 18,227 | 18227 | |
Patent US4868777 - High speed multiplier utilizing signed-digit and carry-save operands
This is a continuation-in-part of application Ser. No. 066,817 filed June 25, 1987 entitled "Arithmetic Processor Using Redundant Signed Digit Arithmetic", application Ser. No. 070,565 filed July 7,
1987 entitled "Arithmetic Process... | 4 | [
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0.028564453125,
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0.005126953125,
-0.0703125,
-0.06494140625,
0.09228515625,
-0.0... | 18,228 | 18228 | |
Patent US5715183 - Internal automatic calibrator for vector network analyzers
This application is a continuation of Ser. No. 08/350,563, filed Dec. 7, 1994, now U.S. Pat. No. 5,548,538.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to the calibration of a vector network analyzer... | 4 | [
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Expectation a RV with negative binomial distribution
September 12th 2012, 11:32 PM #1
Junior Member
Joined
Dec 2010
Posts
61
Expectation a RV with negative binomial distribution
Hi,
In a derivation for the expectation of an RV with a geometric distribution I have the following:
$E(X) = \sum^{\i... | 5 | [
0.00970458984375,
0.01019287109375,
0.006103515625,
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0.09130859375,
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Solutions in commutative ring.
Show that the equation $x^{129}+x+2=0$ has precisely three solutions in the commutative ring $Z_{256}$.
The multiplicative group of units of that ring is $U:=U(\mathbb{Z}_{256})$ whose order is $\phi(256=2^8)=2^7=128\Longrightarrow u^{128}=1\,\,\,\forall\,u\in U$ $\Longrightarrow \,\fora... | 5 | [
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-0.10791015625,
-0.080078125,
-0.0495605... | 18,231 | 18231 | |
group scheme
Contents
Definition
A group scheme is a group object in the category of schemes (or in a category of some schemes as for instance that of schemes over a fixed base scheme); in particular a group scheme is a group
functor. As explained at group object there are two equivalent ways of realizing this:
One ... | 4 | [
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-0.0... | 18,232 | 18232 | |
Integrate sqrt(x-x^2)
P: 333 1. The problem statement, all variables and given/known data
Integrate [tex]\sqrt{x-x^2}[/tex]
The attempt
I did a trig substitution, letting [tex]cos(\theta)=\frac{x}{sqrt(x)}[/tex] and after some manipulati... | 4 | [
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Modeling diffusion through two layers
%{
Solution to the substrate and product diffusion equations using the
central difference scheme with Neumann boundary conditions for S at x = 0,
and dirchelet boundary conditions:
S(:,numx) = S0; %S(x=d,t)=S0
P(:,1) = 0; %P(x=0,t)=0
P(:,numx) = 0; ... | 4 | [
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0.006744384765625,
-0.0703125,
-0.020263671875,... | 18,234 | 18234 | |
Fouries series integration help
September 22nd 2010, 05:01 AM #1
Junior Member
Joined
Sep 2010
Posts
47
Fouries series integration help
Hey everyone, I am stuck on 2 questions, so if anyone can help me that would be much appreciated.
$f(x)=\begin{Bmatrix} 2, & -1<x<1\\0, & 1<|x|<2\end{matrix}$
... | 4 | [
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Planet X and a Satellite
Register to reply
by thelightsare
Tags: altitude, force, gravitational force, gravitational pull, radius
P: 9 1. The problem statement, all variables and given/known data
Pl... | 4 | [
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0.041259765625,
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0.02880859... | 18,236 | 18236 | |
Finding work, heat, and entropy in a heat engine
1. The problem statement, all variables and given/known data
An engine operates with n = 1.94 moles of a monatomic ideal gas as its working substance, starting at volume VA = 21.4 L and pressure PA = 2.77 atm. The cycle consists of:
- A to B: an isobaric expansion until... | 5 | [
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Solution of symmetric linear complementarity problems by iterative methods
Find out how to access preview-only content
August 1977
,
Volume 22
,
Issue 4
,
pp 465-485
Solution of symmetric linear complementarity problems by iterative methods
Rent the article at a discount
Rent now
* Final gross prices may var... | 4 | [
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0.... | 18,238 | 18238 | |
Function simplification
I've tried to simplify in many ways with using identities, but I'm stuck. Simplify: $\frac{\cos(x)}{\csc(x)-\sin(x)}$ Any ideas? Thanks!
Multiply top & bottom by $\sin x$ Apply one useful identity.
$\frac{cos(x)}{csc(x)-sin(x)}$ $= \frac{cos(x)}{\frac{1}{sin(x)} - sin(x)}$ $= \frac{cos(x)}{\fr... | 4 | [
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0.069824... | 18,239 | 18239 | |
High pass filter and signal
September 13th 2007, 10:22 PM #1
Member
Joined
Nov 2005
Posts
111
High pass filter and signal
Hi,
I have this problem about signal that I have a little trouble to finish:
I attached a small figure of the circuit.
I have a High pass filter, and the equation is:
... | 5 | [
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-0.01348876953125,
-0.0407714... | 18,240 | 18240 | |
Developing a theory for estimation and hypothesis testing
May 7th 2012, 07:56 AM #1
Newbie
Joined
May 2012
From
Rhode Island
Posts
8
Developing a theory for estimation and hypothesis testing
Hi all, this is my first post.
Here's the challenge:
f(x; θ) =1/θ x^((1/θ) −1)
for x ∈ [0, ... | 4 | [
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0.03955078125,
-0.01855468... | 18,241 | 18241 | |
some trignometry simplification
April 10th 2007, 11:43 PM
T_o_M
some trignometry simplification
Solve the following equations if 0<x<2pie (those are 'less than or equal to') answer to 2 decimal places.
a) square root of 2 cos(x = pie/2) + 1 = 0
b) sin(1/2)(x-2pie/9) = 0.6
i would be greatful to g... | 4 | [
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0.01275634765625,
0.0030975341796875,
0.06982421875,
-0.03173828125,
-0.00439453125,
-0.04003... | 18,242 | 18242 | |
Trig question: with intervals
Solve the equation for a in [0, 2pie] A.) cosē(a) + 3cos(a) = -cos(a) B.)sin(2a) = cos(a)
Add $\cos a$ to both sides to get $\cos^2 a + 4\cos a = 0$ and now $\cos a ( \cos a + 4) = 0$. Therefore, $\cos a = 0$ or $\cos a + 4 = 0$. The second condition, $\cos a + 4 = 0 \implies \cos a = -4$... | 4 | [
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0.07958984375,
-0.052734375,
0.023193359375,
... | 18,243 | 18243 | |
Equation needed for Analysis...
February 22nd 2010, 08:39 AM #1
Newbie
Joined
Feb 2010
Posts
2
Equation needed for Analysis...
Hello all, I'm trying to do an analysis and am having trouble coming up with an equation/calculation that I feel confident addresses what I need...
Assuming in period one th... | 4 | [
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0.0133056640625,
0.142578125,
-0.0151977539... | 18,244 | 18244 | |
Current and Avogadro's Number
Ithryndil
1. The problem statement, all variables and given/known data
The electron beam emerging from a certain high-energy electron accelerator has a circular cross section of radius 1.20 mm.
(a) The beam current is 7.75 ľA. Find the current density in the beam assuming it is uniform... | 4 | [
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-0.013916015625,
-0.008... | 18,245 | 18245 | |
Partial derivatives for the sign function
September 19th 2010, 04:25 PM #1
Member
Joined
May 2010
Posts
241
Partial derivatives for the sign function
Hi there. Well, I've got some doubts on the partial derivatives for the next function:
$f(x,y)=sg\{(y-x^2)(y-2x^2)\}$ Where sg is the sign function.
... | 5 | [
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-0.0303955078125,
0.09423828125,
0.04052734375,
-0.05419921875,
-0.0854492... | 18,246 | 18246 | |
Mass of a sphere, checking my result
Let $B$ be a ball with radius $a$ and in which the density of any point is equal to the distance to a fixed diameter. Find the mass of the ball.
My attempt : $m=\iiint _{B} \rho (r,\phi, \theta) drd\phi d \theta = \int_0^{2\pi} \int_0^{\pi} \int _0^a r^3 \sin (\phi) drd\phi... | 5 | [
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0.003814697265625,
0.009643554687... | 18,247 | 18247 | |
INDICES PROBLEM SOLVING
October 28th 2008, 12:19 PM #1
Junior Member
Joined
Oct 2008
Posts
25
INDICES PROBLEM SOLVING
X = 4 × 10m Y = 2 × 10n
Where m and n are integers.
XY= 8 × 102 and x/y = 2 × 108
Find the value of m and the value of n
Reply
$XY = 8 \times 102$
$(4 \times 10m)(2... | 4 | [
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0.06787109375,
-0.0113525390625,
0.1240234375,
-0.0213623046875,
0.020... | 18,248 | 18248 | |
Patente US5933132 - Coordinate correction apparatus
CROSS-REFERENCES TO RELATED APPLICATIONS
This application is a continuation patent application of U.S. patent application Ser. No. 08/342,905, filed Nov. 21, 1994, now abandoned, entitled "METHOD AND APPARATUS FOR CALIBRATING GEOMETRICALLY
AN OPTICAL COMPUTER INPUT S... | 4 | [
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-0.047119140625,
0.040039062... | 18,249 | 18249 | |
Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 805978, 6 pages
http://dx.doi.org/10.1155/2013/805978
Research Article
Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
^1Col... | 4 | [
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-0.03466796... | 18,250 | 18250 | |
Partial Fraction
Factor out a 9. Meaning, 1/(9+x^2) can be written as 1/9 * 1/(1+(x/3)^2) Now let t=x/3
Hello, everyone! A question: Doesn't anyone teach the general formulas for inverse trig integrals? . . . . . .du . . ∫ ------------ . = . arcsin(u/a) + C . . . .√aČ - uČ . . . . . .du . . ∫
---------- . = . (1/a)·ar... | 5 | [
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-0.072265625,
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0.02... | 18,251 | 18251 | |
Advanced Harmony Search with Ant Colony Optimization for Solving the Traveling Salesman Problem
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 123738, 8 pages
http://dx.doi.org/10.1155/2013/123738
Research Article
Advanced Harmony Search with Ant Colony Optimization for Solving the Traveling Salesman P... | 4 | [
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0.02014160156... | 18,252 | 18252 | |
[Special relativity - Mathematical background] Tensor and pseudo-tensor
I believe it has to do with the fact that in n dimensions the spaces of p forms and of (n-p) forms are diffeomorphic, which you can easily show by yourself by counting how many independent elements a
p form and a (n-p) form have in n dimensions.
A... | 4 | [
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0.036865234375,... | 18,253 | 18253 | |
Induction problem
May 30th 2008, 07:25 AM #1
For $n \in \mathbb{Z}^+$, prove that $2^{3n+2} + 5^{n+1}$ is divisible by $3$. (Proof by induction)
Also, I am confused whether $(2^5-2^2).2^{3n} = 2^{3n+2}(2^3-1)$ is correct or not. Please help! I am STUCK on induction, and my exams are in two weeks.
Any oth... | 5 | [
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Patente US6898328 - Method and apparatus for adaptive pixel estimation under high error rate conditions
FIELD OF THE INVENTION
The present invention pertains to image processing. More particularly, the present invention relates to a method and apparatus for adaptive pixel estimation under high error rate conditions.
... | 4 | [
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Trigonometric rearrangement of tan(3x)cot(7x) to find limit
January 27th 2013, 10:31 PM
mcleja
Trigonometric rearrangement of tan(3x)cot(7x) to find limit
I have tan(3x)cot(7x) and i need to get it in the form (sin(ax)/ax)/(sin(bx)/bx) for some a and b. I have use the tan(x)=sin(x)/cos(x) and cot(x)=cos(x)/sin(x... | 5 | [
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Double integral and polar coordinates
May 27th 2008, 10:17 AM #1
Member
Joined
Jul 2005
Posts
187
Double integral and polar coordinates
I don't understand how to do these transformations as depicted on the picture.
There's 2R = pi/3 and R/2=0 How to get these pi/3 and 0?
There are a number of ty... | 5 | [
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Small Wind Turbine
How Small Windmills work
Overview: How Small Wind Turbines work
The Small Wind Turbines are upwind, horizontal-axis wind machines where the rotor spins in front of the tower about a line parallel with the horizon. It co... | 4 | [
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Preventing oil whirl for better bearing operation
Oil-whirl instability in rotor bearings was discovered by General Electric engineer Burt Newkirk in the 1920s. Since then, much has been written about design methods to reduce its harmful effects.
Yet it still remains troublesome and of great concern, particularly in li... | 5 | [
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rubber band stretch problem
September 26th 2007, 01:37 PM #1
Member
Joined
Aug 2007
Posts
96
rubber band stretch problem
The question is, is it true that if you stretch a rubber band by moving one end to the right and the other to the left, some point of the band will end up in its original position?
... | 5 | [
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0.0089721679... | 18,260 | 18260 | |
Evaluate as a fraction in index form
January 30th 2013, 09:50 PM
Razbaz
Evaluate as a fraction in index form
Evaluate (a^2 * b^7) / (a^3 * b) as a fraction in index form when a = (2/5)^4 and b = (5/8)^3
Answer is 5^22/2^58, I've tried numerous ways to get to this but am struggling. When I think I'm just abou... | 4 | [
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0.07... | 18,261 | 18261 | |
Patent US6510746 - Gas flow measurement
FIELD OF THE INVENTION
The present invention relates to a system and method to measure gas flow using upstream and downstream pressure measurements, and in particular to measurement of flows related to internal combustion
engine operation.
BACKGROUND OF THE INVENTION
Determini... | 4 | [
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Nonlinear Analysis of Auscultation Signals in TCM Using the Combination of Wavelet Packet Transform and Sample Entropy
Evidence-Based Complementary and Alternative Medicine
Volume 2012 (2012), Article ID 247012, 9 pages
http://dx.doi.org/10.1155/2012/247012
Research Article
Nonlinear Analysis of Auscultation Signals ... | 4 | [
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Proof of k-multiset coefficients, part 1
June 18th 2010, 03:21 PM
oldguynewstudent
Proof of k-multiset coefficients, part 1
This exercise outlines a bijective proof of the formula $\left(\left({n\atop k}\right)\right)= \left({k+n-1\atop k}\right)$ from section 1.1. Let A be the set of k-multisets taken from [n] ... | 5 | [
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Giving answers to the nearest degree, find in the interval 0<x<360
June 20th 2011, 06:41 AM #1
Newbie
Joined
Jun 2011
Posts
4
Giving answers to the nearest degree, find in the interval 0<x<360
Giving answers to the nearest degree, find in the interval 0<x<360 all the solutions of:
10 sin(x+26) cos(x... | 4 | [
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-0... | 18,265 | 18265 | |
More questions in Abstract-Help is needed!
February 10th 2010, 01:57 AM #1
Member
Joined
Dec 2009
Posts
171
More questions in Abstract-Help is needed!
I have a huge test tommorow on this subject, and I'm pretty bad at it...Hope you'll be able to help me...
1. Prove that $[S_{n}$ doesn't have any sub... | 4 | [
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... | 18,266 | 18266 | |
Just another lambdabananacamel,
(Haven't really had much time for Haskell this week – I had set myself the task of comparing some versions of SOE exercises, but will get back to that as soon as I can. In the mean time, another
(shortish) post in the regular series…)
The first part is straight forward enough. We create... | 4 | [
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Tangential component help
November 16th 2008, 08:27 AM #1
Member
Joined
Jun 2008
Posts
105
Tangential component help
1.)
r(t) = < t, t^2, 1/t >
r'(t) = < 1, 2t, -1/t^2>
r"(t) = < 0, 2, 1/t^4>
|r'(t)| = squartroot (1 + 4t^2 + 1/t^4)
(a) Find the tangential component of the particle’s ... | 5 | [
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... | 18,268 | 18268 | |
Find subtended angle
March 9th 2010, 07:38 PM
arze
Find subtended angle
A triangle ABC is inscribed in a circle with center O. The line CD is perpendicular to the plane of the circle and of length CD=10cm. If angle DAC= $68^o12'$, the angle DBC= $60^o19'$ and AB=
6.67cm calculate the angle subtended by each ... | 4 | [
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0... | 18,269 | 18269 | |
Newton's method
June 9th 2010, 06:26 AM #1
Newbie
Joined
Apr 2010
Posts
11
Newton's method
Solve $e^{-2x}-2x-2 = 0$ using Newton's method, giving your answer correct two decimal places.
$f(x) = e^{-2x}-2x-2$
$f'(x) = -2e^{-2x}-2$
$x_{n+1} = x_{n}-\dfrac{f(x_{n})}{f'(x_{n})}$
I can cho... | 4 | [
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... | 18,270 | 18270 | |
The Sum and difference of cubes
January 20th 2010, 03:56 PM #1
Member
Joined
Jan 2009
From
Ontario Canada
Posts
219
The Sum and difference of cubes
Hello,
Need help in these problems
1-(x+y)^3
(x+y)^3+1
1-a^6x^6
I am having some trouble figuring these out, if you can help me p... | 4 | [
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0.00415039... | 18,271 | 18271 | |
Projectile motion off a cliff at an angle (help )
Hi all,
I am new to the forum, 1st year chemical engineering student. I am struggling with this problem:
1. The problem statement, all variables and given/known data
A stone is thrown at an angle of 37' from the top of a cliff which is 40m above the surface of a lak... | 4 | [
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... | 18,272 | 18272 | |
Wonderful Limit
We start with the well known 'infinite product'... $\Gamma(x)= \frac{e^{-\gamma x}}{x}\ \prod_{n=1}^{\infty} \frac{e^{\frac{x}{n}}}{1+\frac{x}{n}}$ (1) ... where $\gamma$ is the so called Euler's
constant, then from (1)... $\ln \Gamma(x)= -\ln x - \gamma x + \sum_{n=1}^{\infty} \{\frac{x}{n}-\ln (1+\fra... | 4 | [
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0.01153564453125,
-0.063... | 18,273 | 18273 | |
Young Double Slit Experiment (Determine wavelength of light source)
1. The problem statement, all variables and given/known data
Upon using Thomas Young's double slit experiment to obtain measurements, the following data was obtained. Use this data to determine the wavelength of light being used to create the interfer... | 4 | [
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0.0517578125,
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related rates problems..
August 29th 2010, 05:12 PM
cutiemike1
related rates problems..
1. Water flows into a vertical cylindrical tank at the rate of 12 cu.ft/min. The surface rises 6 inches per minute. Find the radius of the tank.
2. If the angle of elevation of the sun is 45degrees and is decreasing at 0... | 5 | [
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0.09375,
-... | 18,275 | 18275 | |
Statistical Hypothesis
June 20th 2009, 05:01 PM #1
Newbie
Joined
Jun 2009
Posts
10
Statistical Hypothesis
A bowl contains 2 red balls, 2 white balls, and fifth ball that is either red or white. Let p denote the probability of drawing a red ball from the bowl. We shall test the simple null hypothesis
... | 5 | [
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-0.086914... | 18,276 | 18276 | |
What is the perpendicular distance from the pt 5, 4 to the line y = 1/2x + 6?
September 13th 2008, 05:36 PM #1
Junior Member
Joined
Sep 2008
Posts
41
What is the perpendicular distance from the pt 5, 4 to the line y = 1/2x + 6?
The title pretty much explains the question:
What is the perpendicular d... | 4 | [
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0.1259765625,
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-0.003875732421875,
-0... | 18,277 | 18277 | |
Flexural Stiffness
Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 370767, 21 pages
http://dx.doi.org/10.1155/2008/370767
Research Article
Nonlinear Modeling of Cables with Flexural Stiffness
^1Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli studi ... | 4 | [
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0.0284423828125,... | 18,278 | 18278 | |
Eikonal equation from Riemanian Length Structure
July 2nd 2010, 09:02 AM #1
Newbie
Joined
May 2010
Posts
10
Eikonal equation from Riemanian Length Structure
Given a Riemanian manifold X and a positive scalar velocity field v(X) and the length structure $L=integral(1/v(r(t))*sqrt(<r'(t),r'(t)>)dt,0,1)$ wh... | 4 | [
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-0.00157928466796875,
-0.031982421875,
0.017456... | 18,279 | 18279 | |
L'hopital's Rule.
October 18th 2008, 10:47 PM
U-God
L'hopital's Rule.
I have to use l'hopital's rule to show that for any fixed t, the limit as omega approaches 1, for $\frac{2}{1-\omega^2} (cos(\omega t) - cos(t) ) = tsin(t)$
To do this, I assume I must differentiate with respect to omega, so that means I ... | 5 | [
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-0.06298828125,
-0.070312... | 18,280 | 18280 | |
I'm not understanding this problem
please help. This is the problem What is 39 squared?
There are many other ways to attack the problem, the box method which is long and tedious, simple multiplication, calculator... otherwise if you know the perfect square expansion: 39^2 = (40 - 1)^
2... mainly cos 40 and 1 and nice ... | 4 | [
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0.0022125244140625,
... | 18,281 | 18281 | |
Revista Brasileira de Ciência do Solo
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Print version ISSN 0100-0683
Rev. Bras. Ciênc. Solo vol.35 no.6 Viçosa Nov./Dec. 2011
http://dx.doi.org/10.1590/S0100-06832011000600008
... | 4 | [
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0.03564453125,
-0.0393... | 18,282 | 18282 | |
Can't find this limit analytically
September 18th 2012, 09:46 AM #1
Newbie
Joined
Sep 2012
From
USA
Posts
2
Can't find this limit analytically
(((1/(x+1))-(1/4))/(x-3)
I need to find the limit as x approaches 3. I've simplified it to a number of other forms, but I can't get it into a form where ... | 4 | [
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-... | 18,283 | 18283 | |
Line integral
April 9th 2013, 10:51 AM #1
Junior Member
Joined
Feb 2013
From
Canada
Posts
44
Line integral
let vector field F be (z^2/x,z^2/y, 2zlnxy). Evaluate the line integral of F
Where C is the path of straight line segments fromP = (1; 2; 1) to Q = (4; 1; 7) to R = (5; 11; 7), and then back... | 4 | [
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-0.01068115234375... | 18,284 | 18284 | |
Sparse coding on D-Wave hardware: finding an optimal structured dictionary
I spend most of my time thinking about machine intelligence. I would like to build machines that can think and act like we do. There are many hard problems to solve before we get there.
A thing I’ve been thinking about recently is how the limi... | 4 | [
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0.0400390625... | 18,285 | 18285 | |
Patent US20030212619 - Targeting customers
FIELD OF THE INVENTION
[0001] The present invention relates to targeting customers, and particularly but not exclusively to targeting customers for products using fuzzy logic techniques.
BACKGROUND
[0002] Various methods exist for targeting products to customers. The target... | 4 | [
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Find the equation of the circle that passes through three points.
January 5th 2010, 07:35 PM
Pre-Calc
Find the equation of the circle that passes through three points.
A ( 3, 1) B ( 2,4) C (-1, 2)
some things that go with this equation
-midpoint
-distance
-perpendicular bisector
-M1-M2= -1
... | 4 | [
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Finding ball velocity using time
October 8th 2011, 07:17 AM
vaironxxrd
Finding ball velocity using time
Hello forum, vaironxxrd here.
I had a lab which was pretty interesting to me and fun. The teacher made a ball roll from 0-20cm 5 times and then 0-40cm 5 times, and so on until the distance was 120cm.
... | 4 | [
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Using Congruences - Wilson's and Fermat's Thms
October 14th 2012, 08:32 AM #1
Newbie
Joined
Oct 2012
From
District of Columbia
Posts
16
Using Congruences - Wilson's and Fermat's Thms
This seems like a relatively simple computational problem (in fact I know how to do it for 2^91 divided by 7) but I am... | 5 | [
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... | 18,289 | 18289 | |
HW Help - Factoring Trinomials
April 21st 2009, 12:45 PM #1
Newbie
Joined
Dec 2008
Posts
5
HW Help - Factoring Trinomials
Factor each trinomial, if possible. If the trinomial cannot be factored using integers, write prime.
I'm listing 5 problems because each type varies and there is a whole section ... | 4 | [
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... | 18,290 | 18290 | |
Permutations question...
January 26th 2009, 10:07 AM #1
Newbie
Joined
Jan 2009
Posts
11
Permutations question...
In how many ways can 12 basketball players be assigned to six double rooms?
The answer is
12!
__
(2!)^6
But i dont understand why its done that way.
The number of re... | 4 | [
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Solving Conic Equations
March 4th 2011, 01:50 PM #1
Hi,
How do we solve systems of conic equations? For example:
$\frac{(x-3)^2}{16}-\frac{(y+9)^2}{64}=1$
and
$\frac{(x-9)^2}{9}+\frac{(y+2)^2}{49}=1$
How do we find the point(s) of intersection?
Thanks!
Not sure I've ever heard the ter... | 4 | [
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Authors' Reply
Citation: Rosendaal F, Reitsma PH (2006) Authors' Reply. PLoS Med 3(4): e210. doi:10.1371/journal.pmed.0030210
Published: April 25, 2006
Copyright: © 2006 Rosendaal and Reitsma. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestr... | 5 | [
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of Reflections
Composition of Reflections Theorems
Parallel Lines, Intersecting Lines, Translations
Theorems involving reflections in mathematics
• Parallel Lines Theorem
□ A composition of reflections across two parallel lines is equivalent to a translation.(Or across any even number of parallel lines)... | 4 | [
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Absolute Galois group of the field of Puiseux series over $\overline{\mathbb{F}}_p$
up vote 7 down vote favorite
2
Let $K$ be the field of Puiseux series with coefficients in $\overline{\mathbb{F}}_p$ (the algebraic closure of the field with $p$ elements). What is the absolute Galois group of $K$?
Thank you to anyone... | 4 | [
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Patent US4644562 - Combined cross polarization interference cancellation and intersymbol interference equalization for terrestrial digital radio systems
TECHNICAL FIELD
This invention relates to terrestrial digital radio systems and, in particular, to cross polarization cancellation and intersymbol interference equali... | 4 | [
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Finding function continuity and derivatives
ultima9999
I'm not sure where to start with this question. If a limit was given, I could solve it but without it given, I am completely lost...
State on which intervals the function [tex]f[/tex] defined by [tex]f(x) = \left\{\begin{array}{cc}|x + 1|,&x < 0\\x^2 + 1,&x \geq ... | 4 | [
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0.0203857421875... | 18,297 | 18297 | |
Declare the Area of the Octagon
September 2nd 2005, 08:03 AM #1
Member
Joined
Jul 2005
Posts
187
Declare the Area of the Octagon
If I cut off angles of square I get ordered octagon. The task is to declare these octagon's area through square side a. The answer is 2a^2*[sqrt(2)-1]
Last edited by Math ... | 4 | [
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Series...
Find the sum of: 1/(1*2*3) + 1(2*3*4) + 1/(3*4*5) + ... + 1/(n(n+1)(n+2))
Telescopic series: $\frac{1}{n(n+1)}=\frac{1}{n}-\frac{1}{n+1}\Longrightarrow \frac{1}{n(n+1)(n+2)}=\left(\frac{1}{n}-\frac{1}{n+1}\right)\frac{1}{n+2}=$$\frac{1}{n(n+2)}$$-\frac{1}{(n+1)(n+2)}$$=\
frac{1}{2}\left(\frac{1}{n}-\frac{1}{... | 4 | [
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