content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
(Self)Inductance of a straight current carrying wire
Strange, my integral diverges... I'll post my entire calculation within in a few days because i'm rather convinced the integral diverges...
Quick "proof":
within the conductor B is proportional to the distance to the conductor axis.
B_in ~ r => B_in^2 ~ r^2 => u ~ r... | 4 | [
-0.044677734375,
0.044189453125,
-0.0086669921875,
-0.01220703125,
0.09912109375,
-0.06884765625,
0.0274658203125,
0.004150390625,
-0.0286865234375,
-0.01373291015625,
-0.08447265625,
-0.0201416015625,
0.052490234375,
0.06494140625,
0.002655029296875,
0.046875,
0.0025482177734375,
... | 16,800 | 16800 | |
To find the constant?
November 19th 2009, 08:44 AM #1
Member
Joined
Oct 2009
Posts
92
The concentration of a certain drug in the bloodstream t hours after the drug is administered is given by c(t)=12te^-bt ng/ml where b is some positive constant.Suppose that the drug reached
maximum concentration exac... | 4 | [
0.00128173828125,
0.020263671875,
-0.01043701171875,
-0.046630859375,
-0.0703125,
0.0400390625,
0.0164794921875,
0.1669921875,
-0.04736328125,
0.033935546875,
-0.01318359375,
0.01611328125,
0.03369140625,
0.05322265625,
-0.053955078125,
0.03662109375,
0.017333984375,
-0.05590820312... | 16,801 | 16801 | |
Trig function word problem #2
April 25th 2009, 05:22 PM #1
Senior Member
Joined
Nov 2008
Posts
425
Trig function word problem #2
A boat tied up at a dock bobs up and down with passing waves. THe vertical distance between its high and low point is 1.8 m and the cycle is repeated every 4 s.
a) Determi... | 4 | [
-0.053955078125,
0.058349609375,
-0.00946044921875,
-0.04248046875,
-0.0732421875,
-0.002044677734375,
-0.08740234375,
0.0830078125,
0.000286102294921875,
-0.00213623046875,
0.0654296875,
-0.00372314453125,
0.0262451171875,
0.05859375,
0.047607421875,
0.0291748046875,
0.009033203125,... | 16,802 | 16802 | |
Find the area between the curves: y=x^3-12x^2+20x and y=-x^3+12x^2-20x
March 5th 2009, 05:29 PM #1
Junior Member
Joined
Feb 2009
Posts
48
Find the area between the curves: y=x^3-12x^2+20x and y=-x^3+12x^2-20x
Ok I am pretty sure what I have done is correct various things are telling me wrong so can someo... | 5 | [
0.0264892578125,
-0.01519775390625,
0.01513671875,
-0.00104522705078125,
-0.01470947265625,
-0.0576171875,
-0.01165771484375,
0.09619140625,
-0.040771484375,
-0.046630859375,
0.08349609375,
0.0155029296875,
0.0167236328125,
0.0242919921875,
0.0233154296875,
0.06494140625,
-0.05444335... | 16,803 | 16803 | |
Parabolic Coordinates Radius
Given Cartesian [itex](x,y,z)[/itex], Spherical [itex](r,\theta,\phi)[/itex] and parabolic [itex](\varepsilon , \eta , \phi )[/itex], where
[tex]\varepsilon = r + z = r(1 + \cos(\theta)) \\\eta = r - z = r(1 - \cos( \theta ) ) \\ \phi = \phi [/tex]
why is it obvious, looking at the pictur... | 4 | [
-0.03466796875,
0.0244140625,
0.010009765625,
-0.006591796875,
0.0712890625,
-0.0458984375,
0.0615234375,
0.0196533203125,
0.06591796875,
-0.050537109375,
0.09375,
0.03857421875,
0.0101318359375,
0.08056640625,
-0.0220947265625,
-0.06201171875,
-0.07861328125,
-0.07080078125,
-0.... | 16,804 | 16804 | |
Math Help
June 11th 2011, 08:11 AM #1
Member
Joined
Nov 2010
Posts
112
intercept
a line pass through (1,4).determine the least value of sum of the intercept on the coordinate axes.
i am getting 3,but book answer is 9.who is wrong.(use calculus only)
If you are considering intercepts for x, y > ... | 5 | [
0.068359375,
0.0107421875,
-0.0130615234375,
-0.05615234375,
0.031005859375,
0.015625,
0.08251953125,
0.039306640625,
-0.0147705078125,
-0.00689697265625,
-0.019775390625,
-0.0291748046875,
0.0908203125,
0.036376953125,
-0.07763671875,
0.1123046875,
0.00927734375,
-0.072265625,
-... | 16,805 | 16805 | |
Trigonometry Answers
Let's see how you got on:
1. Find H using pythagoras.
H² = 4² + 2² = 20 ... H = 4.47
2. Find tanF° then inverse to find F°.
tanF° = 2 ÷ 4 = 0·5 ... F° = inv-tan 0·5 = 26.57°
3. Find sinG° and consequently G°
sinG° = 4 ÷ 4.47 = 0.89 ...
G° = inv-sin 0.89 = 63.49°
4. Chec... | 4 | [
0.00086212158203125,
0.0771484375,
-0.0142822265625,
-0.0037994384765625,
-0.00008535385131835938,
-0.033203125,
-0.0255126953125,
0.026611328125,
-0.006103515625,
0.001007080078125,
0.045166015625,
-0.12353515625,
-0.01068115234375,
-0.0014801025390625,
0.042724609375,
-0.08154296875,... | 16,806 | 16806 | |
Prove that a+b is irrational?
September 17th 2009, 03:42 PM #1
Member
Joined
Sep 2008
Posts
81
Prove that a+b is irrational?
okay so the question is: Suppose that a is a rational number and that b is an irrational number. Prove that a+b is irrational.
So i went to prove A: ab is irrational by contra... | 4 | [
-0.0107421875,
0.005767822265625,
-0.0111083984375,
0.06298828125,
-0.032958984375,
0.054931640625,
0.1005859375,
-0.09375,
-0.03564453125,
-0.04541015625,
-0.015869140625,
-0.053955078125,
0.0908203125,
0.064453125,
0.0022735595703125,
0.0869140625,
0.031005859375,
0.068359375,
... | 16,807 | 16807 | |
Modeling of holographic gratings in graded
« journal navigation
Modeling of holographic gratings in graded-index photorefractive planar waveguides
Optics Express, Vol. 10, Issue 20, pp. 1133-1138 (2002)
http://dx.doi.org/10.1364/OE.10.001133
Abstract
A numerical model is presented for the evaluation of the dielectr... | 4 | [
0.01324462890625,
0.015380859375,
0.016357421875,
-0.01300048828125,
0.015869140625,
-0.005279541015625,
0.00384521484375,
-0.019775390625,
-0.09375,
-0.00958251953125,
-0.03076171875,
0.0000629425048828125,
-0.0024871826171875,
-0.00860595703125,
0.0966796875,
-0.005950927734375,
-0... | 16,808 | 16808 | |
Existence and uniqueness of global solutions
June 4th 2009, 06:13 AM
bkarpuz
[SOLVED] Existence and uniqueness of global solutions
Dear friends, I need some help with the existence and/or uniqueness of global solutions to first-order linear differential equations.
For instance, let $x_{0},t_{0}\in\mathbb{R}$... | 5 | [
-0.1591796875,
-0.0703125,
0.021728515625,
-0.01007080078125,
-0.012451171875,
0.1220703125,
0.049072265625,
-0.006591796875,
0.018310546875,
0.00738525390625,
0.05810546875,
-0.009521484375,
0.031982421875,
-0.006072998046875,
0.041259765625,
0.1171875,
-0.00933837890625,
-0.08300... | 16,809 | 16809 | |
FCC 73.160 as of December 4, 2012 - hallikainen.com
Goto Section: 73.158 | 73.182 | Table of Contents
FCC 73.160
... | 4 | [
0.00299072265625,
0.053955078125,
-0.04833984375,
-0.0272216796875,
-0.004638671875,
0.0021514892578125,
0.01025390625,
0.03759765625,
0.04052734375,
0.0076904296875,
0.076171875,
-0.0179443359375,
0.04345703125,
0.0322265625,
0.041259765625,
-0.016845703125,
-0.03759765625,
-0.045... | 16,810 | 16810 | |
Urgent, Trigonometric function and graph
September 27th 2008, 11:11 PM #1
Junior Member
Joined
Sep 2008
Posts
59
Urgent, Trigonometric function and graph
A circle is divided by a chord into two segments such that the areas of the segments are in the ratio 3:1 . If the chord subtends an angle of $2{\theta... | 5 | [
-0.07080078125,
0.06884765625,
0.01458740234375,
-0.015869140625,
-0.0184326171875,
-0.0703125,
-0.054931640625,
0.107421875,
-0.0028533935546875,
0.043212890625,
0.060546875,
-0.0284423828125,
0.020751953125,
0.06640625,
0.03369140625,
-0.03125,
-0.00112152099609375,
0.02404785156... | 16,811 | 16811 | |
Patent US7450047 - Sigma-delta modulator with DAC resolution less than ADC resolution and increased dynamic range
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to sigma-delta modulators, and in particular, to sigma-delta modulators in which the resolution of the feedback digital-... | 4 | [
-0.0830078125,
-0.0341796875,
-0.048828125,
-0.021240234375,
-0.056396484375,
-0.06689453125,
0.0693359375,
0.036376953125,
-0.0162353515625,
-0.0341796875,
-0.031005859375,
-0.036376953125,
-0.048095703125,
-0.08056640625,
-0.0030670166015625,
0.052490234375,
0.04833984375,
0.1289... | 16,812 | 16812 | |
Du/dt = A*d2 u/dy2
mfb
The transformation ##u \to u-\frac{V}{L}x## will not influence your differential equation, but give u(L)=0. Solve the equation for the modified u, and add that linear part afterwards?
Interesting. Let's develop that a little:
u=u(x,t)
du/dt = A*(d^2u/dx^2)
u(x,0) = f(x)
u(0,t) = 0
u(L,t)... | 4 | [
-0.015380859375,
-0.001617431640625,
0.080078125,
0.00732421875,
0.01171875,
0.07373046875,
-0.07958984375,
-0.019775390625,
-0.05322265625,
0.01458740234375,
0.0849609375,
0.00994873046875,
-0.014892578125,
-0.00083160400390625,
-0.006927490234375,
0.1064453125,
-0.046875,
0.03710... | 16,813 | 16813 | |
Derivatives
November 17th 2012, 02:13 PM
xRockbottomx
Derivatives
I am having some issues with Derivatives. My first question is what is the derivative of e^4x? I know one of the rules is (e^x)' = e^x. Then why is (e^4x)' not e^4x?
Thanks
Adam
November 17th 2012, 02:16 PM
MacstersUndead
Re: Derivativ... | 5 | [
0.06494140625,
0.013427734375,
0.09130859375,
-0.041259765625,
-0.048583984375,
-0.056884765625,
-0.0016632080078125,
-0.01507568359375,
0.0191650390625,
0.058349609375,
0.08447265625,
-0.0380859375,
0.0301513671875,
-0.00335693359375,
0.0133056640625,
0.02880859375,
-0.039794921875,... | 16,814 | 16814 | |
Physics Forums - View Single Post - Energy Density & Pressure
Part-1:Mass
In the context of cosmology, the Friedmann-Acceleration equation highlights the need to understand the components that contribute to both the energy density [tex][\rho][/tex] and pressure [P]:
[1] [tex] \left(\frac {\ddot a}{a} \right) = - \fra... | 4 | [
-0.05078125,
-0.0123291015625,
0.04296875,
0.130859375,
0.0012969970703125,
0.01806640625,
0.053466796875,
0.0029449462890625,
-0.0166015625,
-0.08935546875,
0.061279296875,
-0.10107421875,
0.06298828125,
0.00860595703125,
0.0281982421875,
-0.031494140625,
-0.0137939453125,
0.01098... | 16,815 | 16815 | |
Could use some help with a Natural Deduction proof
May 1st 2010, 08:26 PM
Cermak
Could use some help with a Natural Deduction proof
I've been working on a proof for my symbolic logic class, but I cannot seem to solve it. Even after hours and hours of work I am pretty stuck. Anyone want to take a crack at it? It'... | 5 | [
-0.0693359375,
0.046630859375,
0.13671875,
-0.031494140625,
0.046875,
0.0113525390625,
0.0142822265625,
0.0625,
-0.011474609375,
0.11767578125,
-0.035888671875,
-0.115234375,
-0.004791259765625,
0.045166015625,
0.0167236328125,
0.072265625,
-0.0123291015625,
0.043701171875,
-0.06... | 16,816 | 16816 | |
volume of a trapezoid
October 17th 2008, 08:43 PM #1
Junior Member
Joined
Apr 2008
Posts
25
hello how to figure out the volume of a traezoid or trapezium?
if the height is 5.6 metres another height is 4 metres
the side is 4 metres and the other side is 3.8 metres thanks.
google is your friend... | 4 | [
-0.0037994384765625,
0.08447265625,
-0.0146484375,
-0.059814453125,
-0.0751953125,
-0.049072265625,
-0.00531005859375,
0.09326171875,
-0.0264892578125,
0.040283203125,
-0.039794921875,
-0.045654296875,
-0.021728515625,
0.0108642578125,
0.007354736328125,
0.050537109375,
-0.0079345703... | 16,817 | 16817 | |
l^p space inequality related to compressed sensing
up vote 2 down vote favorite
2
I'm trying to read Donoho's 2004 paper Compressed Sensing and am having trouble with a supposedly trivial statement (equation 1.2 on page 3).
He makes the sparsity assumption on $\theta \in \mathbb{R}^m$ that for some $0<p<2$ and $R>0$ ... | 5 | [
-0.04638671875,
-0.07861328125,
0.005126953125,
-0.0263671875,
0.115234375,
0.04931640625,
0.0174560546875,
0.07373046875,
-0.0284423828125,
-0.048828125,
-0.042236328125,
0.0849609375,
0.055419921875,
-0.041259765625,
-0.053955078125,
0.03857421875,
0.0194091796875,
-0.02319335937... | 16,818 | 16818 | |
Work to push a sled up a hill: Friction, inclines,force,work
1. The problem statement, all variables and given/known data
We are pushing a sled up a hill. Our push is horizontal. The hill is inclined at 15 degrees. The sled masses 35 kg. The coefficient of kinetic friction is .2. The hills height is 3.6 m. We push at a... | 4 | [
-0.0859375,
0.036865234375,
-0.0208740234375,
-0.017822265625,
-0.0087890625,
-0.0654296875,
-0.0869140625,
0.072265625,
0.0068359375,
0.0223388671875,
0.076171875,
-0.0556640625,
-0.04296875,
0.04541015625,
0.01434326171875,
0.0517578125,
-0.00104522705078125,
0.0302734375,
-0.0... | 16,819 | 16819 | |
IIT-JEE 2008 Question (MCQ) on Young’s Double Slit
Today we will discuss two questions on Young’s double slit. The following multiple correct answers type question appeared in IIT-JEE 2008 question paper:
In a Young’s double slit experiment, the separation between the two slits is d and the wave length of the light is... | 4 | [
-0.04931640625,
-0.01190185546875,
0.057373046875,
-0.01446533203125,
0.01373291015625,
0.03515625,
0.054443359375,
0.080078125,
-0.018798828125,
0.057373046875,
0.02978515625,
0.0419921875,
-0.001495361328125,
0.0184326171875,
0.04736328125,
0.0291748046875,
0.035400390625,
-0.096... | 16,820 | 16820 | |
help with a proof on orders
April 1st 2009, 06:20 PM #1
Junior Member
Joined
Sep 2008
Posts
55
help with a proof on orders
stuck on a proof..any help would be great!
show, for any integer k>=0:
en(a^k)= en(a) / gcd( en(a), k)
where en(a) is the order of a modulo n, also (a,n) = 1
Let ... | 5 | [
-0.06103515625,
0.0791015625,
0.01611328125,
-0.030517578125,
0.005615234375,
-0.07568359375,
0.072265625,
-0.004180908203125,
0.03076171875,
0.04248046875,
0.018798828125,
0.03466796875,
0.072265625,
0.02587890625,
0.006011962890625,
0.01708984375,
-0.00144195556640625,
0.08154296... | 16,821 | 16821 | |
Solve Logarithmic Equation
January 13th 2008, 10:27 AM #1
Newbie
Joined
Dec 2007
Posts
11
Solve Logarithmic Equation
I need help solving this logarithmic equation:
$<br /> 2\log_{5}x - \log_{5}2 = \log_{5}(2x+6)<br />$
I tried "subtracting" the left side and then exponentiating everything with ... | 4 | [
0.01116943359375,
-0.03759765625,
0.07275390625,
0.0225830078125,
0.048828125,
-0.0155029296875,
-0.07275390625,
0.0279541015625,
0.0205078125,
0.036865234375,
0.0361328125,
0.0220947265625,
-0.007568359375,
-0.07666015625,
0.0244140625,
0.0693359375,
-0.0712890625,
0.0094604492187... | 16,822 | 16822 | |
Patent US5455782 - Decimation filter and method
BACKGROUND AND SUMMARY OF THE INVENTIONS
The present invention relates to electronic devices, and, more particularly, to semiconductor circuits and methods useful for filtering digital signals with a decimation of the sampling rate.
Digital Systems with Down Converters
... | 4 | [
0.00909423828125,
0.111328125,
-0.034912109375,
-0.0908203125,
-0.019287109375,
-0.07666015625,
0.080078125,
-0.004669189453125,
-0.0341796875,
0.022705078125,
-0.06396484375,
0.01904296875,
0.06298828125,
-0.059814453125,
-0.04541015625,
-0.05224609375,
0.035400390625,
0.030883789... | 16,823 | 16823 | |
On the Mean Values of Certain Character Sums
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 326597, 19 pages
http://dx.doi.org/10.1155/2013/326597
Research Article
On the Mean Values of Certain Character Sums
Department of Mathematics, Northwest University, Xi'an, Shaanxi 710069, China
Received 8 Augu... | 5 | [
-0.051513671875,
0.052490234375,
0.0625,
0.01483154296875,
-0.0341796875,
0.046630859375,
0.0576171875,
0.07763671875,
0.11328125,
-0.039794921875,
0.045654296875,
0.036376953125,
0.095703125,
-0.021728515625,
-0.08642578125,
-0.057373046875,
-0.0036468505859375,
0.0081787109375,
... | 16,824 | 16824 | |
DFQ: "A vertical conical tank..."
November 14th 2008, 03:45 PM #1
Newbie
Joined
Nov 2008
Posts
2
DFQ: "A vertical conical tank..."
Hey guys.
I've spent probably 6 hours today trying to solve a basic differential equation, without success, and I'm about to go crazy.
The problem:
"A vertical... | 5 | [
-0.02880859375,
0.06982421875,
0.041748046875,
0.0145263671875,
-0.005767822265625,
-0.06884765625,
-0.0576171875,
0.056884765625,
0.037841796875,
0.015869140625,
-0.0791015625,
-0.0026092529296875,
0.027587890625,
0.115234375,
-0.045654296875,
0.002777099609375,
-0.0732421875,
0.0... | 16,825 | 16825 | |
[SOLVED] equation for a point on a known line
March 16th 2010, 04:56 AM
dmw
[SOLVED] equation for a point on a known line
Say we are given the Cartesian points P1=(x1, y1) and P2=(x2, y2) and we are given a distance D1. What equation do I use to find the coordinates of the point P3=(x3, y3) that lies along the l... | 4 | [
-0.060546875,
-0.043701171875,
-0.05517578125,
-0.0693359375,
0.00946044921875,
-0.017822265625,
0.0001735687255859375,
0.08984375,
0.0081787109375,
-0.019775390625,
0.07373046875,
0.01953125,
-0.025146484375,
0.0201416015625,
0.03466796875,
0.0693359375,
-0.03369140625,
0.03637695... | 16,826 | 16826 | |
Equation of a tangent line at a certain point.
November 15th 2009, 12:37 PM #1
Member
Joined
Sep 2009
Posts
80
Equation of a tangent line at a certain point.
"Find the equation of the tangent line to the graph of $y=(2x-5)/(x+1)$ at the point at which x=0."
I thought I had started off doing this rig... | 4 | [
-0.05712890625,
-0.02587890625,
0.06591796875,
-0.0198974609375,
0.0238037109375,
0.046142578125,
-0.0074462890625,
0.03564453125,
0.0164794921875,
0.07177734375,
0.1298828125,
-0.0849609375,
-0.00494384765625,
0.06494140625,
-0.01300048828125,
0.1015625,
-0.07568359375,
-0.0363769... | 16,827 | 16827 | |
equation of the normal line at a given point
September 28th 2013, 03:57 PM #1
Senior Member
Joined
Sep 2013
From
Portland
Posts
360
Thanks
23
equation of the normal line at a given point
I am not getting the same answer as the book for this question. it is to find the equation of the normal line ... | 4 | [
-0.1201171875,
-0.044921875,
-0.053466796875,
0.01177978515625,
0.03662109375,
0.00958251953125,
-0.007568359375,
-0.00128173828125,
0.01470947265625,
0.0140380859375,
0.123046875,
-0.0296630859375,
0.0849609375,
0.01226806640625,
0.01611328125,
0.0478515625,
-0.1357421875,
-0.0786... | 16,828 | 16828 | |
Irreducible polynomial
October 9th 2012, 10:31 PM
jackie
Irreducible polynomial
Why is the polynomial $XY$ is irreducible in $R=k[X,XY, XY^2,XY^3,...]$? Assume $XY=pq$ for some $p,q \in R$. I want to show that either $p$ or $q$ are units. Would anyone help me on this?
October 14th 2012, 02:21 AM
Vlasev
Re: Ir... | 5 | [
0.0247802734375,
0.00885009765625,
-0.083984375,
0.0242919921875,
-0.02880859375,
0.003631591796875,
0.06787109375,
-0.04541015625,
-0.015869140625,
-0.07275390625,
-0.047607421875,
0.0263671875,
0.0830078125,
0.0927734375,
0.046875,
0.0791015625,
-0.08642578125,
0.0732421875,
-0... | 16,829 | 16829 | |
[SOLVED] joint probability density function
May 23rd 2010, 09:32 PM #1
Newbie
Joined
Jan 2010
Posts
18
[SOLVED] joint probability density function
Given two iid Gaussian Random Variables $X,Y$ with zero mean and variance $\sigma^2$
$U = \frac{X^2-Y^2}{\sqrt{X^2+Y^2}}$
$V = \frac{2XY}{\sqrt{X^2+... | 5 | [
0.01025390625,
-0.0302734375,
0.0208740234375,
-0.0791015625,
0.060791015625,
-0.045166015625,
-0.032958984375,
-0.0264892578125,
-0.06982421875,
-0.0072021484375,
0.0771484375,
0.0654296875,
-0.00567626953125,
0.0135498046875,
-0.0179443359375,
0.0283203125,
-0.0576171875,
-0.0380... | 16,830 | 16830 | |
ratio formula
May 22nd 2007, 03:33 PM #1
Newbie
Joined
May 2007
Posts
3
Hi,
I do not know the formula to solve this word problem:
The recipe called for oatmeal and raisins in the ratio of 8 to 7.
If 3 cups of oatmeal were called for, how many cups of raisins were needed?
Thanks to anyone... | 4 | [
0.00555419921875,
0.0093994140625,
0.000926971435546875,
0.09765625,
0.008056640625,
0.0189208984375,
-0.0216064453125,
0.040283203125,
0.018798828125,
-0.026123046875,
-0.03466796875,
-0.06005859375,
0.0174560546875,
0.1005859375,
0.039306640625,
-0.0216064453125,
0.0005226135253906... | 16,831 | 16831 | |
simplify expressiom
First of all, are you using h and H to represent the same thing? If so, be consistent, either use all "h" or all "H". Next, is this your expression? \displaystyle \begin{align*} \frac{1 - (x + h)}{2
+ (x - h)} - \frac{1 - x}{2 - x} \end{align*}? Learning a little LaTeX would help everyone...
[1-(x-... | 4 | [
-0.01708984375,
0.06298828125,
0.11669921875,
0.0234375,
0.025390625,
-0.0224609375,
-0.005523681640625,
-0.026611328125,
-0.00537109375,
0.061279296875,
-0.005859375,
-0.12158203125,
0.0308837890625,
0.0264892578125,
0.009521484375,
0.08447265625,
-0.0196533203125,
0.032470703125,... | 16,832 | 16832 | |
Finding gravitational potential inside solid sphere
So I am given that the gravitational potential of a mass m a distance r away from the center of a spherical shell with mass m' is -Cm'/r for m outside the shell and constant for m inside ths shell.
I am to find the potentials inside and outside a solid sphere (the ea... | 5 | [
0.06494140625,
0.07470703125,
0.00775146484375,
-0.00970458984375,
0.0218505859375,
-0.03125,
0.01202392578125,
0.09912109375,
-0.031982421875,
0.07763671875,
0.006561279296875,
-0.039306640625,
0.0233154296875,
-0.00009775161743164062,
0.09130859375,
-0.058837890625,
0.0849609375,
... | 16,833 | 16833 | |
ew
Martin’s recent article on inking his new GameScience dice naturally led to a spirited discussion about GameScience’s claims that their dice are the best dice available in terms of randomness, which
quite naturally leads one to ask: “Is my favorite die fair? How can I tell?” One possibility is to perform a chi*-sq... | 4 | [
-0.005706787109375,
-0.047119140625,
-0.0181884765625,
-0.01373291015625,
-0.019287109375,
0.01165771484375,
0.01446533203125,
-0.00107574462890625,
0.0106201171875,
0.09716796875,
-0.01806640625,
-0.06591796875,
0.06689453125,
-0.0218505859375,
-0.0322265625,
-0.09716796875,
-0.0000... | 16,834 | 16834 | |
Convergence of a series
April 15th 2010, 05:03 PM #1
Junior Member
Joined
Dec 2008
Posts
70
Convergence of a series
Hi Am working through heaps of series problems in which i'm expected to show the series converges or diverges by applying both root and ratio test,
For the series;
$<br /> \sum_{n=... | 5 | [
-0.000514984130859375,
-0.1474609375,
-0.03759765625,
0.059326171875,
-0.0048828125,
-0.0859375,
-0.12158203125,
0.0038299560546875,
0.0244140625,
0.0322265625,
-0.0625,
-0.07568359375,
-0.048095703125,
0.031494140625,
-0.0299072265625,
0.009033203125,
-0.0189208984375,
-0.04638671... | 16,835 | 16835 | |
CkBooks Online – Free Online Books
Production and Operations Management
┌──────────────────────┬┐
│THE DECISION PROCESS ││
├──────────────────────┼┤
│Learning Objectives ││
└──────────────────────┴┘
Decision Process is more or less the fundamental process of Management. Whether a person works in a manufacturing org... | 5 | [
-0.0140380859375,
0.0089111328125,
-0.06640625,
-0.03369140625,
-0.03271484375,
-0.005218505859375,
0.0238037109375,
0.08203125,
0.038818359375,
0.08935546875,
0.0034942626953125,
0.006591796875,
0.0103759765625,
-0.03466796875,
0.0123291015625,
-0.08935546875,
-0.00567626953125,
-... | 16,836 | 16836 | |
Important Vector question!!
April 11th 2008, 10:17 AM #1
Junior Member
Joined
Mar 2008
Posts
60
Important Vector question!!
Hi guys, I have this question which I really need help ...
The equation of a plane P1 in a cartesian coordinate system is given by 3x+y-z-6=0. THe cordinates of two points A an... | 5 | [
-0.0223388671875,
-0.019775390625,
-0.0556640625,
-0.0634765625,
0.028564453125,
-0.0005950927734375,
0.07080078125,
0.007293701171875,
-0.025146484375,
0.09130859375,
0.0284423828125,
-0.0155029296875,
0.022216796875,
-0.05029296875,
-0.083984375,
0.072265625,
-0.0771484375,
-0.05... | 16,837 | 16837 | |
Patent US7590388 - Method and arrangement for noise variance and SIR estimation
CROSS REFERENCE TO RELATED APPLICATION
This application is U.S. National Stage entry under 35 U.S.C. § 371 of PCT International Application Ser. No. PCT/GB2004/003368 (International Publication No. WO 2005/015790 A1 and titled “Method and
... | 4 | [
-0.0888671875,
-0.043701171875,
0.0130615234375,
-0.0458984375,
-0.032470703125,
-0.01397705078125,
0.05224609375,
0.0242919921875,
-0.0252685546875,
0.0014801025390625,
-0.039794921875,
0.11376953125,
0.0693359375,
-0.0615234375,
-0.111328125,
0.019775390625,
0.087890625,
-0.04125... | 16,838 | 16838 | |
Take the derivative.
For the second one, I know it looks scary, but break it up using the log rules and it ain't so bad. $ln\left(\frac{x^{5}e^{4x}\sqrt{3x+1}}{1-x^{2}}\right)$ = $\left[ln(x^{5})+ln(e^{4x})+ln(\sqrt
{3x+1})\right]-ln(1-x^{2})$ = $5ln(x)+4x+\frac{1}{2}ln(3x+1)-ln(1-x^{2})$ Now, you can differentiate, ca... | 5 | [
-0.033447265625,
-0.0361328125,
0.01287841796875,
-0.0400390625,
-0.004547119140625,
-0.0286865234375,
-0.0111083984375,
-0.020751953125,
0.040283203125,
0.034423828125,
0.056884765625,
-0.06689453125,
0.0242919921875,
0.016357421875,
-0.035400390625,
-0.0322265625,
-0.08203125,
0.... | 16,839 | 16839 | |
moment generating function
May 3rd 2009, 01:47 PM #1
Banned
Joined
Apr 2009
Posts
22
moment generating function
If the moment generating function of X is $M(t)=\frac{1}{1-3t}$, $t<\frac{1}{3}$
A. Find E(X)
B. Find Var(X)
C. P(6.1 < x < 6.7)
Thank you in advance for your help!
Hello... | 4 | [
-0.025390625,
0.0177001953125,
0.01220703125,
0.0135498046875,
-0.033447265625,
-0.00013065338134765625,
0.05859375,
0.0272216796875,
0.0615234375,
0.058837890625,
0.0164794921875,
-0.04296875,
0.07666015625,
-0.06396484375,
0.0146484375,
-0.002166748046875,
0.000354766845703125,
0... | 16,840 | 16840 | |
problem of quadratic equation with two variables
August 16th 2011, 07:13 PM
sumedh
problem of quadratic equation with two variables
If 3x2+2αxy+2y2+2ax-4y+1 can be resolved into two linear factors, prove that α is the root of the equation x2+ 4ax+2a2+6=0.
please don't solve the problem
just hint is expe... | 4 | [
-0.01708984375,
-0.047607421875,
-0.041748046875,
-0.0390625,
0.0299072265625,
0.07421875,
-0.0380859375,
-0.0252685546875,
0.00909423828125,
0.0152587890625,
0.08544921875,
0.0152587890625,
-0.036865234375,
-0.0159912109375,
0.006195068359375,
0.07470703125,
-0.07421875,
-0.010925... | 16,841 | 16841 | |
Quadratic equation check
September 23rd 2007, 12:14 AM #1
Newbie
Joined
Sep 2007
Posts
17
Quadratic equation check
I can't seem to figure out how to check this problem.
8x^3 + 1 =0
I factored it and got
(2x+1)(4x^2 - 2x + 1)
So x=-1/2 and x= (1±i sqrt 3)/4
The first solution -1/2... | 4 | [
-0.04541015625,
-0.0299072265625,
0.03564453125,
0.058837890625,
0.000446319580078125,
-0.053466796875,
0.007537841796875,
0.00469970703125,
0.059326171875,
-0.057861328125,
0.04150390625,
-0.0654296875,
0.0654296875,
0.1396484375,
-0.041259765625,
0.0028228759765625,
0.012451171875,... | 16,842 | 16842 | |
Related Rates of a Cylinder
May 10th 2012, 03:27 PM #1
Newbie
Joined
Apr 2012
From
Frederick
Posts
5
Related Rates of a Cylinder
Water is being pumped into a vertical cylinder of radius 4 meters and height 15 meters at a rate of 2 meters^3/min. How fast is the water level rising when the cylinder is ... | 4 | [
-0.0294189453125,
0.1484375,
0.051025390625,
-0.025146484375,
0.04443359375,
-0.046142578125,
-0.1376953125,
0.062255859375,
-0.00262451171875,
-0.04248046875,
0.02734375,
-0.03125,
-0.005279541015625,
0.107421875,
-0.056640625,
0.0625,
0.00909423828125,
0.035400390625,
-0.062988... | 16,843 | 16843 | |
Proving (I:a) is an ideal of a ring
March 7th 2010, 03:15 AM #1
Junior Member
Joined
Oct 2009
Posts
39
Proving (I:a) is an ideal of a ring
Suppose R is a commutative ring and I is an ideal of R and a∈R.
Define (I:a) = {r∈R : ar∈ I}
I want to prove that (I:a) is also an ideal of R.
I know ... | 4 | [
-0.05078125,
0.0537109375,
-0.060546875,
-0.01904296875,
-0.0050048828125,
-0.0390625,
0.146484375,
-0.000732421875,
-0.01458740234375,
-0.049560546875,
-0.111328125,
-0.0400390625,
0.080078125,
-0.04833984375,
0.033935546875,
0.018310546875,
0.0162353515625,
0.0186767578125,
-0.... | 16,844 | 16844 | |
Introduction
August 21st 2012, 12:39 AM #1
Newbie
Joined
Aug 2012
From
Delft, The Netherlands
Posts
11
Thanks
1
Introduction
Hi,
I came to MHF through google, looking for a *direct* proof that for all integers x it holds that if $x^2$ is even, then $x$ is even. There's a post on this here: p... | 4 | [
-0.056884765625,
0.042724609375,
0.076171875,
0.0732421875,
0.1171875,
0.05615234375,
-0.031982421875,
0.057373046875,
0.00537109375,
0.043212890625,
0.005218505859375,
0.0166015625,
0.058837890625,
-0.043212890625,
-0.003173828125,
0.029541015625,
0.0458984375,
0.0269775390625,
... | 16,845 | 16845 | |
Math Help
October 12th 2005, 06:10 AM #1
Newbie
Joined
Oct 2005
Posts
2
Help
Write 60 + 3 + 7/10 as a decimal ?
Simplify 7b x 3c ?
Simplify b2 x 5b2 ?
Expand 3 (6 +k) ?
Factorise 5m + 30 ?
Simplify 3k/5 + k/5 ?
The prices of the five cars in Honest John's car sales yard are... | 4 | [
0.004852294921875,
0.041259765625,
0.0255126953125,
-0.01019287109375,
-0.0458984375,
0.060302734375,
-0.031494140625,
0.1279296875,
-0.056396484375,
0.0177001953125,
-0.00115203857421875,
0.00860595703125,
0.140625,
-0.0244140625,
-0.0654296875,
0.00049591064453125,
-0.04248046875,
... | 16,846 | 16846 | |
Sum and/or Difference of Logs
August 6th 2008, 03:01 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Sum and/or Difference of Logs
Write each sum as a sum and/or difference of logs. Express powers as factors.
Before getting to the questions, what does the question mean by "Express pow... | 4 | [
0.06982421875,
0.016357421875,
0.0101318359375,
0.048828125,
0.042236328125,
-0.06103515625,
0.046630859375,
-0.026611328125,
0.0615234375,
-0.033935546875,
0.01251220703125,
0.005889892578125,
0.0150146484375,
0.052734375,
0.0196533203125,
0.12890625,
-0.037109375,
0.035400390625,... | 16,847 | 16847 | |
Chord length of a circle inscribed in a rectangle
April 22nd 2010, 09:51 PM #1
Newbie
Joined
Apr 2010
Posts
2
Chord length of a circle inscribed in a rectangle
The picture is of a rectangle whose base is greater than its height. A circle is drawn in the rectangle, which is tangent to the top, left, and b... | 4 | [
0.000804901123046875,
0.0634765625,
-0.076171875,
-0.08154296875,
0.00634765625,
0.02783203125,
-0.028564453125,
0.1396484375,
0.0213623046875,
-0.05078125,
0.0245361328125,
-0.06640625,
0.04052734375,
0.06396484375,
0.0157470703125,
0.01361083984375,
-0.035400390625,
0.01092529296... | 16,848 | 16848 | |
Physics Forums - View Single Post - Proving a property of real numbers
1. The problem statement, all variables and given/known data
Given x<y for some real numbers x and y. Prove that there is at least
one real z satisfying x<z<y
2. Relevant equations
This is an exercise from Apostol's Calculus Vol. 1. The usual l... | 4 | [
-0.08642578125,
0.047119140625,
0.050048828125,
-0.0277099609375,
0.037353515625,
-0.017578125,
0.056396484375,
0.0556640625,
-0.035888671875,
-0.00311279296875,
-0.1171875,
0.0390625,
0.10107421875,
0.034423828125,
0.0224609375,
0.025146484375,
0.08984375,
-0.01507568359375,
0.0... | 16,849 | 16849 | |
Moment of Inertia Problem
Doc Al
Any slant with the side will be a second order correction to the radius and will have no effect on the volume element.
The volume is the area times thickness:
dV = area * dz = πr^2dz
If we vary the radius by dr, we get:
dV = π(r + dr)^2dz = π(r^2 + 2rdr + dr^2)dz
dV = πr^2dz + [S:2... | 4 | [
-0.0341796875,
0.029052734375,
0.0245361328125,
0.003570556640625,
-0.01214599609375,
-0.045166015625,
-0.035888671875,
0.0595703125,
-0.020263671875,
0.0191650390625,
-0.0150146484375,
0.007568359375,
0.07373046875,
0.04736328125,
0.06005859375,
-0.013671875,
0.01953125,
0.0903320... | 16,850 | 16850 | |
Using Wien's radiation law to derive the Stephan-Boltzmann law and Wien's distributio
1. The problem statement:
Using Wien's law ρ(λ,T)=f(λ,T)/λ^5, show the following:
(a) The total emissive power is given by R = aT4 (the Stefan-Boltzmann law),
where a is a constant.
(b) The wavelength λmax at which ρ(λ,T) - or R(λ,T... | 4 | [
-0.03271484375,
0.0634765625,
0.013916015625,
0.083984375,
0.0244140625,
0.0301513671875,
-0.03173828125,
0.060791015625,
0.03857421875,
0.026611328125,
0.02001953125,
-0.08837890625,
0.0126953125,
0.05126953125,
0.03076171875,
0.017822265625,
0.00144195556640625,
-0.05419921875,
... | 16,851 | 16851 | |
Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 903518, 15 pages
http://dx.doi.org/10.1155/2012/903518
Research Article
Existence of Mild Solutions for a Class of Fractional Evolution Equations with ... | 5 | [
-0.123046875,
0.0022735595703125,
0.040283203125,
0.0712890625,
0.043212890625,
0.06640625,
-0.0191650390625,
-0.060302734375,
-0.003082275390625,
-0.015380859375,
0.0859375,
-0.0693359375,
-0.045166015625,
0.03369140625,
0.0228271484375,
0.04052734375,
0.0037994384765625,
-0.05151... | 16,852 | 16852 | |
[SOLVED] Knights and Knaves help >__<
September 29th 2009, 04:07 PM #1
Junior Member
Joined
Jun 2009
Posts
27
[SOLVED] Knights and Knaves help >__<
Two natives A and B address you as follows:
A says: Both of us are knights.
B says: A is a knave.
What are A and B?
Okay, so I... | 4 | [
-0.04736328125,
0.045654296875,
0.00037384033203125,
-0.0201416015625,
-0.01708984375,
0.0211181640625,
0.05078125,
-0.068359375,
0.07763671875,
0.038330078125,
-0.00634765625,
-0.0693359375,
0.08203125,
-0.0068359375,
0.017333984375,
0.03759765625,
-0.049560546875,
0.044921875,
... | 16,853 | 16853 | |
Math Help
Last edited by srirahulan; July 6th 2013 at 07:35 PM.
It doesn't... \displaystyle \begin{align*} y &= \ln{ \left[ \sec{(x)} \right] } \\ &= \ln{ \left\{ \left[ \cos{(x)} \right] ^{-1} \right\} } \\ &= -\ln{ \left[ \cos{(x)} \right] } \end{align*} Now
let \displaystyle \begin{align*} u = \cos{(x)} \implies y... | 5 | [
-0.0208740234375,
-0.01434326171875,
0.05322265625,
0.01513671875,
0.00640869140625,
-0.06884765625,
0.00909423828125,
-0.034423828125,
0.048583984375,
0.005523681640625,
0.1494140625,
0.0162353515625,
0.00958251953125,
0.047119140625,
0.019287109375,
-0.0419921875,
-0.047607421875,
... | 16,854 | 16854 | |
Basic Prob
December 5th 2010, 05:21 PM #1
Member
Joined
Mar 2008
Posts
204
Basic Prob
please find attached file as below:
i have try by using tree diagram until the part which i mark with BOX.other than that i have blur how to configure it..any advise
tq
There are a total of 9 red discs an... | 4 | [
0.033447265625,
-0.0174560546875,
-0.0001125335693359375,
-0.0223388671875,
-0.027587890625,
-0.061767578125,
0.051025390625,
0.029296875,
0.01904296875,
0.0245361328125,
0.04541015625,
-0.0654296875,
0.039794921875,
-0.0106201171875,
-0.02294921875,
0.0400390625,
-0.076171875,
-0.... | 16,855 | 16855 | |
Finding the equation of a plane
May 24th 2009, 11:03 AM #1
Newbie
Joined
May 2009
Posts
17
Finding the equation of a plane
Could somebody please explain me how I should solve the following?
Determine the vector equation of the plane P(a) containing the line AB and perpendicular to the vector v(a).
... | 5 | [
-0.052978515625,
0.01495361328125,
-0.08251953125,
-0.06298828125,
0.0162353515625,
0.052978515625,
0.05859375,
-0.07177734375,
-0.052734375,
0.068359375,
-0.0233154296875,
-0.01373291015625,
0.04296875,
0.033203125,
-0.0888671875,
0.055419921875,
-0.0625,
-0.061279296875,
0.0500... | 16,856 | 16856 | |
Natural frequency of a wind turbine
AlephZero
I think you are using "mass" and "weight" to mean the same thing. They are NOT the same thing, so that is confusing!
If you ignore the mass of the tower, then you have a "mass on the end of a spring", where the mass is the rotor+hub and the spring is the cantilever beam... | 4 | [
0.056640625,
0.0703125,
-0.06494140625,
0.017822265625,
-0.03662109375,
0.006866455078125,
0.000835418701171875,
0.035400390625,
0.0247802734375,
-0.006561279296875,
0.02783203125,
-0.0322265625,
0.00372314453125,
-0.04150390625,
0.0024566650390625,
0.10400390625,
-0.0250244140625,
... | 16,857 | 16857 | |
Patent US6920188 - Method and apparatus for processing a multiple-component wide dynamic range signal
BACKGROUND OF THE INVENTION
This invention relates to processing analog signals in a manner which accommodates a wide dynamic range of signal amplitude. In particular, the invention relates to processing signals in tw... | 4 | [
-0.051513671875,
0.000965118408203125,
-0.07666015625,
-0.00579833984375,
-0.109375,
0.004150390625,
0.043701171875,
0.078125,
0.005615234375,
-0.0341796875,
-0.06298828125,
0.0242919921875,
0.0556640625,
-0.07470703125,
-0.02294921875,
0.047607421875,
0.0235595703125,
0.0859375,
... | 16,858 | 16858 | |
Real Nonsymmetric Matrices
15.3 Real Nonsymmetric Matrices
The solution of the real nonsymmetric eigensystem problem for a matrix A involves computing the Schur decomposition
where Z is an orthogonal matrix of Schur vectors and T, the Schur form, is quasi upper triangular with diagonal 1-by-1 blocks which are real e... | 4 | [
-0.1298828125,
0.004150390625,
-0.08154296875,
-0.008544921875,
-0.044677734375,
-0.0791015625,
-0.054931640625,
-0.014404296875,
-0.007659912109375,
0.00860595703125,
0.06494140625,
0.0303955078125,
-0.0264892578125,
-0.072265625,
-0.02783203125,
-0.0081787109375,
-0.033935546875,
... | 16,859 | 16859 | |
Each digit in the two-digit number G is halved to form a new
Author Message
TAGS:
Each digit in the two-digit number G is hal... | 4 | [
-0.041748046875,
0.0016632080078125,
0.0400390625,
-0.0390625,
0.001220703125,
0.0174560546875,
0.033935546875,
0.00836181640625,
0.03125,
-0.01544189453125,
-0.006317138671875,
0.059326171875,
0.0137939453125,
-0.020263671875,
-0.07763671875,
0.06982421875,
-0.08154296875,
0.03442... | 16,860 | 16860 | |
Powers of matrices equal to the identity matrix
As a simple example think about 2x2 matrices.
If ##\displaystyle A = \begin{bmatrix}a & b \\ c & d \end{bmatrix}##, then
##\displaystyle A^2 = \begin{bmatrix}a^2 + bc & b(a+d) \\ c(a+d) & d^2 + bc \end{bmatrix} = I##.
From the off-diagonal terms, ##b(a+d) = 0## and ##c... | 4 | [
-0.06494140625,
-0.00445556640625,
-0.080078125,
0.053955078125,
-0.02099609375,
-0.0791015625,
-0.02783203125,
-0.08935546875,
0.06640625,
-0.03955078125,
0.0286865234375,
-0.01708984375,
0.015380859375,
0.037841796875,
-0.04345703125,
0.0255126953125,
-0.0084228515625,
0.08398437... | 16,861 | 16861 | |
Swimming Pool Area
September 4th 2005, 06:10 PM #1
Newbie
Joined
Sep 2005
Posts
2
A swimming pool problem
Hi,
My Question:
The owners of a rectangular swimming pool want to surround the pool with a crushed-stone border of uniform width. They have enough stone to cover 74 square meters. How wide... | 4 | [
0.06982421875,
0.1044921875,
0.0252685546875,
-0.095703125,
-0.05810546875,
-0.0157470703125,
0.047119140625,
0.06494140625,
-0.09521484375,
-0.046142578125,
-0.0123291015625,
-0.064453125,
0.003173828125,
0.1142578125,
-0.012451171875,
0.005767822265625,
0.0213623046875,
0.0615234... | 16,862 | 16862 | |
spring mass-undamped
October 8th 2009, 08:30 PM #1
Junior Member
Joined
Jul 2009
Posts
37
spring mass-undamped
A 20-kilogram mass is attached to a spring. If the frequency of simple harmonic motion is 2/pi cycles per second, what is the spring constant k? What is the frequency (in cycles per second) of
... | 4 | [
0.038330078125,
0.06591796875,
0.0128173828125,
0.036376953125,
-0.0908203125,
0.0194091796875,
-0.038330078125,
-0.012939453125,
-0.0277099609375,
0.0634765625,
0.08349609375,
-0.03857421875,
0.0380859375,
-0.022216796875,
0.055419921875,
0.046630859375,
0.0235595703125,
0.0859375... | 16,863 | 16863 | |
Circular motion: Car driving along a circular hill
Register to reply
by Acid92
Tags: circular, driving, hill, motion
P: 41 1. The problem statement, all variables and given/known data
A car of mass m ... | 4 | [
-0.028564453125,
0.10107421875,
-0.03125,
0.0196533203125,
0.035888671875,
0.0028228759765625,
-0.095703125,
0.09716796875,
-0.0255126953125,
0.004058837890625,
0.0947265625,
-0.043212890625,
0.07470703125,
0.029296875,
0.017822265625,
0.0810546875,
-0.03515625,
0.0693359375,
-0.... | 16,864 | 16864 | |
Physics Forums - View Single Post - An introduction to the analysis of statically indeterminate systems
1.2. A FORMAL OUTLINE (I).
Under the assumption that the idea of the force method was successfully illustrated in Section 1.1., we shall now try to generalize and formalize that idea.
It first has to be mentioned ... | 4 | [
-0.09521484375,
0.0257568359375,
-0.01318359375,
0.00506591796875,
-0.02978515625,
0.0380859375,
-0.05322265625,
0.021240234375,
0.061767578125,
0.041748046875,
0.07470703125,
0.000789642333984375,
0.0084228515625,
-0.00909423828125,
-0.09716796875,
-0.0291748046875,
-0.011962890625,... | 16,865 | 16865 | |
Complete the square to find center and radius of the sphere
May 1st 2013, 12:24 PM
icelated
Complete the square to find center and radius of the sphere
I have an odd problem in my book that i am trying to solve but dont have the solution to.
Can anyone help me?
Find the center and radius of the sphere w... | 4 | [
0.03662109375,
-0.001220703125,
-0.0169677734375,
0.0361328125,
0.046630859375,
-0.00445556640625,
-0.0341796875,
0.0849609375,
0.08349609375,
-0.02099609375,
0.03466796875,
0.059814453125,
-0.0247802734375,
0.06298828125,
-0.0634765625,
-0.03271484375,
-0.0306396484375,
-0.0607910... | 16,866 | 16866 | |
Norm on C^1[a,b]
November 29th 2009, 10:44 AM #1
Member
Joined
Oct 2008
Posts
91
Norm on C^1[a,b]
Let $C^{1} [a,b]$ be the space of differentiable real valued functions $f:[a,b] \to \mathbb {R}$ such that the derivative $f':[a,b] \to \mathbb {R}$ is continuous. Given $f \in C^{1} [a,b]$
define $||f||... | 4 | [
0.0037994384765625,
-0.0556640625,
-0.1044921875,
-0.017822265625,
-0.01177978515625,
0.07568359375,
0.0439453125,
0.0576171875,
-0.09716796875,
-0.00408935546875,
-0.0030059814453125,
0.02490234375,
0.0419921875,
-0.09619140625,
-0.0810546875,
0.06884765625,
0.0257568359375,
-0.08... | 16,867 | 16867 | |
Math Help
January 30th 2013, 06:01 AM #1
Newbie
Joined
Jan 2013
From
Sweden
Posts
2
Vectors
Let p=(2,k) and q=(3,5), find k such that the angle between p and q is π/4.
The question is under the vector section of the course elementary linear algebra. It's the first math course I've taken at univ... | 4 | [
-0.031494140625,
0.0184326171875,
-0.024169921875,
-0.09130859375,
-0.04833984375,
0.04150390625,
0.06884765625,
-0.041748046875,
0.0458984375,
0.07275390625,
0.00396728515625,
0.012939453125,
0.01611328125,
0.049560546875,
-0.038818359375,
0.0537109375,
-0.045166015625,
0.01696777... | 16,868 | 16868 | |
Evaluation of the Thermal Effects in Tilting Pad Bearing
International Journal of Rotating Machinery
Volume 2013 (2013), Article ID 725268, 17 pages
http://dx.doi.org/10.1155/2013/725268
Research Article
Evaluation of the Thermal Effects in Tilting Pad Bearing
Department of Mechanical Design, Laboratory of Rotating ... | 4 | [
-0.058837890625,
-0.041259765625,
-0.01513671875,
-0.000946044921875,
0.0018310546875,
-0.0181884765625,
-0.11328125,
0.032470703125,
0.04296875,
0.04541015625,
0.06689453125,
0.0103759765625,
0.06591796875,
-0.07763671875,
0.0269775390625,
0.06298828125,
0.000423431396484375,
0.10... | 16,869 | 16869 | |
Physics Forums - View Single Post - Lagrangian problem (rigid body+particle)
1. The problem statement, all variables and given/known data
A hollow semi-cylinder of negligible thickness, radius a and mass M can rotate without slipping over the horizontal plane z=0, with its axis parallel to the x-axis. On its inside a ... | 4 | [
0.0205078125,
-0.0098876953125,
0.01177978515625,
0.01129150390625,
0.020751953125,
0.0306396484375,
0.03564453125,
0.0947265625,
-0.07275390625,
0.0019378662109375,
0.04638671875,
0.06591796875,
0.058349609375,
-0.11962890625,
-0.00665283203125,
0.046875,
-0.0201416015625,
-0.0233... | 16,870 | 16870 | |
Help with arithmetic series.
December 27th 2010, 02:17 PM #1
Newbie
Joined
Dec 2010
Posts
2
Help with arithmetic series.
Hi, I'm taking AS Maths Core 1 in January. I am stuck on a question in the text book.
It goes like this:
Calculate:
5
Sigma r(r+1)
r = 0
The answer in the tex... | 4 | [
-0.05029296875,
0.0260009765625,
0.05078125,
0.02587890625,
-0.001983642578125,
0.05810546875,
0.032958984375,
0.036865234375,
-0.058837890625,
0.099609375,
-0.0419921875,
-0.02294921875,
-0.048828125,
0.04931640625,
-0.06884765625,
0.048095703125,
-0.04541015625,
0.0123291015625,
... | 16,871 | 16871 | |
Algebra, Properties of a Ring
February 21st 2006, 08:33 PM #1
Junior Member
Joined
Feb 2006
From
Canada
Posts
45
Algebra, Properties of a Ring
Does anyone know how to prove this:
Suppose that R is a ring. Show that -(a+b) = (-a)+(-b) for a, b in R.
Thanks guys.
suedenation
Does any... | 4 | [
-0.0732421875,
0.024169921875,
-0.06298828125,
0.042724609375,
-0.07861328125,
-0.08349609375,
0.07275390625,
-0.017578125,
-0.0252685546875,
-0.042236328125,
-0.0284423828125,
-0.022705078125,
0.059814453125,
0.000568389892578125,
-0.005615234375,
0.033203125,
0.01287841796875,
0.... | 16,872 | 16872 | |
7x-3=60
If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x + -3 = 60 Reorder the terms: -3 + 7x = 60 Solving -3 + 7x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of
the equ... | 4 | [
-0.0966796875,
0.0135498046875,
-0.04296875,
0.007110595703125,
-0.017333984375,
0.028076171875,
0.03466796875,
-0.029541015625,
-0.11328125,
0.030517578125,
0.087890625,
-0.048828125,
0.0120849609375,
0.0281982421875,
-0.050537109375,
-0.01385498046875,
-0.1259765625,
0.0227050781... | 16,873 | 16873 | |
Logarithms
April 17th 2010, 08:39 PM #1
Super Member
Joined
Dec 2009
Posts
755
Logarithms
Given that $x=log_2a$and $y=log_2b$, express the following in terms of $y$ and $x$
(ii) $log_{2a}\sqrt{ab^3}$
My attempt:
$x=log_2a$
$a=2^x$
$y=log_2b$
$b=2^y$
$log_{2a}\sqrt{ab^3}$=... | 4 | [
0.00762939453125,
-0.05859375,
-0.0294189453125,
0.0260009765625,
0.01416015625,
-0.08447265625,
0.0076904296875,
-0.043212890625,
-0.02197265625,
0.026123046875,
0.0260009765625,
0.0213623046875,
0.03271484375,
0.059326171875,
0.10888671875,
0.1083984375,
-0.125,
0.055908203125,
... | 16,874 | 16874 | |
Squares of nxn matrices
October 13th 2008, 11:49 AM #1
Newbie
Joined
Oct 2008
Posts
10
Squares of nxn matrices
The problem:
Let A be an nxn matrix. Is it possible for A^2 + I = 0 in the case where n is odd? What about when n is even? (I is the identity matrix)
------
Squaring any nxn matrix ... | 4 | [
-0.103515625,
0.00848388671875,
-0.045654296875,
0.042236328125,
-0.013671875,
-0.0032958984375,
0.04931640625,
-0.0908203125,
-0.0322265625,
-0.08740234375,
0.123046875,
0.0576171875,
-0.029541015625,
0.0712890625,
-0.08154296875,
-0.00830078125,
0.052734375,
0.0400390625,
0.053... | 16,875 | 16875 | |
Second countable, countable, proof...
February 16th 2011, 02:46 PM #1
Junior Member
Joined
Sep 2010
Posts
63
Second countable, countable, proof...
I have this problem:
S is a set. P is the discrete topology on S. Prove that (S,P) is second countable iff S is a countable set.
Can somebody expand... | 5 | [
0.03662109375,
-0.07373046875,
-0.030029296875,
0.024169921875,
0.06591796875,
0.123046875,
0.0771484375,
0.051025390625,
0.07861328125,
0.00113677978515625,
-0.05078125,
-0.005615234375,
0.05126953125,
0.03173828125,
0.0498046875,
-0.062255859375,
0.04443359375,
-0.022216796875,
... | 16,876 | 16876 | |
Basic Circuit Problems - KVL and KCL
1. The problem statement, all variables and given/known data
Find [tex]R_2[/tex] in the circuit below.
2. Relevant equations
Kirchoff's Current Law:
[tex]\sum {I_{IN} } = \sum {I_{OUT} }[/tex]
Kirchoff's Voltage Law:
[tex]\sum {V = 0}[/tex]
3. The attempt at a solution
Usin... | 4 | [
-0.09765625,
0.09912109375,
0.0703125,
0.053955078125,
-0.0079345703125,
-0.005340576171875,
-0.03564453125,
0.0052490234375,
0.0274658203125,
0.00653076171875,
0.048583984375,
-0.1005859375,
0.06298828125,
0.0036468505859375,
-0.052001953125,
0.036865234375,
-0.080078125,
0.080566... | 16,877 | 16877 | |
6.021/Notes/2006-10-10
From OpenWetWare
Diffusion
Fick's 1st law: $\phi(x,t)=-D\frac{\partial c(x,t)}{\partial x}$
Continuity: $-\frac{\partial\phi}{\partial x} = \frac{\partial c}{\partial t}$
Diffusion Equation: $\frac{\partial c}{\partial t} = D\frac{\partial^2 c}{\partial x^2}$
Solution of diffusion equation ... | 4 | [
-0.03955078125,
-0.0966796875,
0.0615234375,
-0.0101318359375,
0.06640625,
-0.09423828125,
0.0201416015625,
0.150390625,
0.0291748046875,
0.00909423828125,
0.06982421875,
-0.0118408203125,
-0.0264892578125,
-0.0089111328125,
-0.0301513671875,
-0.03955078125,
0.041748046875,
-0.0903... | 16,878 | 16878 | |
Parametric and implicit equation help
June 9th 2011, 12:35 PM
oriont
Parametric and implicit equation help
I am trying to do a couple of implicit and parametric problems for hyperbolas, ellipses and circles.
I must be confusing myself because I think I am missing a concept.
Problem#1: x^2+2x+y^2=0
... | 4 | [
-0.0208740234375,
-0.023193359375,
-0.03271484375,
0.042724609375,
0.04931640625,
-0.000186920166015625,
0.0233154296875,
0.000023245811462402344,
0.037353515625,
-0.0390625,
0.0888671875,
-0.0184326171875,
0.01202392578125,
0.00469970703125,
-0.019287109375,
0.054931640625,
-0.06347... | 16,879 | 16879 | |
Math Help
November 25th 2008, 07:18 PM #1
Junior Member
Joined
Sep 2008
Posts
37
Prove
This is a example question on a practice exam, any help would be appreciated. It is attached. Using induction to prove it.
Thanks
Can't access the attachment
For all integer $n \geq 1$, $\sum_{i=1}^{n} i... | 4 | [
-0.0458984375,
-0.00958251953125,
0.060302734375,
-0.0185546875,
-0.00201416015625,
-0.0634765625,
0.06689453125,
-0.0128173828125,
-0.037841796875,
0.01318359375,
-0.080078125,
-0.048828125,
0.053466796875,
0.015380859375,
-0.07080078125,
0.0009918212890625,
0.045654296875,
0.0634... | 16,880 | 16880 | |
Looking for help with word problem
May 9th 2006, 05:17 PM #1
Junior Member
Joined
Apr 2006
Posts
29
Looking for help with word problem
Jaime bought a case of concert T-shirts for $450. She kept 2 for herself and sold the rest for $560, making a profit of $10 on each shirt. How many shirts were in the cas... | 4 | [
0.00225830078125,
0.10546875,
0.037109375,
-0.01080322265625,
-0.0223388671875,
0.007659912109375,
0.001953125,
0.056884765625,
-0.0302734375,
0.0888671875,
0.08544921875,
-0.04541015625,
0.09619140625,
0.00579833984375,
0.018310546875,
0.078125,
-0.01092529296875,
-0.0250244140625... | 16,881 | 16881 | |
Population Models
May 20th 2009, 11:11 PM
function
Population Models
Hey,
I'm having trouble with a population model question. I have been given the differential equation dN/dt=kN; where t is the time elapsed in hours and k is a constant.
I have also been given some initial conditions; when t=0, N=3000... | 5 | [
-0.080078125,
-0.017822265625,
-0.007537841796875,
-0.0181884765625,
-0.0252685546875,
-0.0079345703125,
-0.0023040771484375,
0.05224609375,
0.02783203125,
0.060302734375,
0.0634765625,
-0.10888671875,
0.05908203125,
0.040771484375,
-0.00830078125,
0.0380859375,
-0.041748046875,
-0... | 16,882 | 16882 | |
Limit of a Sequence
June 30th 2010, 11:26 AM
adkinsjr
Limit of a Sequence
I'm having trouble with the sequence: $a_n=\frac{1*3*5*...*(2n-1)}{n!}$
It seems that the limit must exists since each factor $a_n=\frac{1}{1}*\frac{3}{2}*\frac{5}{3}*\frac{2n-1}{n}$ has a finite limit.
June 30th 2010, 11:41 AM
Hall... | 4 | [
-0.06640625,
-0.171875,
0.01708984375,
-0.00494384765625,
-0.01434326171875,
0.00750732421875,
-0.0185546875,
-0.0025634765625,
-0.00604248046875,
-0.0272216796875,
-0.016845703125,
-0.053466796875,
-0.05712890625,
0.04248046875,
-0.09033203125,
0.02978515625,
-0.010986328125,
-0.0... | 16,883 | 16883 | |
WolframAlpha wrong?
January 13th 2011, 12:26 PM #1
WolframAlpha wrong?
Hi.
I usually check my work with WolframAlpha and for this problem there seems to be a discrepency...
Here's what I've done:
$\int_1^5\frac{dx}{(x-2)^{1/3}}$
Let $u=x-2\Rightarrow{du}=dx$
This means that
$\int_1^5... | 5 | [
-0.0291748046875,
-0.1005859375,
0.01806640625,
-0.031982421875,
-0.00506591796875,
-0.162109375,
-0.036865234375,
-0.07275390625,
-0.00897216796875,
0.001434326171875,
0.046875,
-0.033447265625,
-0.033447265625,
0.0322265625,
-0.044921875,
-0.0091552734375,
0.009765625,
-0.1196289... | 16,884 | 16884 | |
Percentages
Section 3A
Probably the three most important things to remember about percentages are these.
1. Percentages a... | 4 | [
0.0050048828125,
0.05224609375,
0.0576171875,
0.017578125,
0.01019287109375,
-0.026611328125,
0.0189208984375,
0.08447265625,
-0.00933837890625,
0.0654296875,
0.0255126953125,
-0.04296875,
0.00138092041015625,
0.036865234375,
0.051513671875,
0.04052734375,
0.0216064453125,
-0.00915... | 16,885 | 16885 | |
Complex Eigen Space
April 14th 2010, 04:57 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Complex Eigen Space
$\begin{vmatrix}<br /> 1-\lambda & 1\\ <br /> -2 & 3-\lambda <br /> \end{vmatrix}$
$\lambda=2\pm \mathbf{i}$
When $\lambda=2-\mathbf{i}$, $\begin{bmatri... | 5 | [
-0.07763671875,
-0.0294189453125,
-0.0238037109375,
-0.046142578125,
0.005584716796875,
-0.06689453125,
0.0223388671875,
-0.0037841796875,
-0.0126953125,
-0.047607421875,
0.07958984375,
-0.09423828125,
0.0011749267578125,
-0.053466796875,
-0.04443359375,
-0.00119781494140625,
0.00127... | 16,886 | 16886 | |
12 Maths based Physics problems
Hey guys i have been having trouble with the following problems, any assistance would be much appreciated Thanks Nath
Question I A physics textbook is suspended on a spring scale in an elevator. Of the following, the scale shows the highest reading when the elevator: A moves downward wi... | 4 | [
-0.0576171875,
0.0233154296875,
0.027587890625,
-0.01263427734375,
-0.031494140625,
0.018798828125,
-0.043212890625,
-0.01141357421875,
0.0296630859375,
0.140625,
0.0751953125,
-0.0306396484375,
0.05908203125,
0.04150390625,
-0.06591796875,
0.078125,
0.0189208984375,
0.10693359375,... | 16,887 | 16887 | |
Learn Applications of Scale Factor
Learn Applications of Scale Factor In this video lesson, we’ll learn about scale factors. We’re given two problems. Let’s do them one by one. The first problem says rectangle A which is given below
is similar to a rectangle B that we have to draw and the scale factor from rectangle A ... | 4 | [
0.044189453125,
-0.006591796875,
-0.0257568359375,
0.00311279296875,
-0.02197265625,
0.078125,
0.025634765625,
0.0250244140625,
-0.03173828125,
0.0301513671875,
0.0361328125,
-0.0869140625,
0.01324462890625,
0.1201171875,
-0.0042724609375,
0.01806640625,
-0.044189453125,
0.11621093... | 16,888 | 16888 | |
Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 487810, 10 pages
http://dx.doi.org/10.1155/2013/487810
Research Article
Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model
^1College of Mathematics and I... | 4 | [
-0.01483154296875,
-0.044921875,
0.06396484375,
0.035888671875,
0.042236328125,
-0.0252685546875,
-0.058837890625,
0.005584716796875,
0.040283203125,
0.048828125,
0.037353515625,
-0.057373046875,
0.029541015625,
0.016357421875,
-0.0263671875,
0.056640625,
0.00445556640625,
-0.03442... | 16,889 | 16889 | |
f(x) again :)
Hello coyote, Use synthetic division: Code: -6 | 1 9 20 12 -6 -18 -12 -------------- 1 3 2 0 $(x^3+9x^2+20x+12) \div (x+6)=x^2+3x+2$ Sorry coyote. I should've asked if you knew synthetic division.
Code: x^2 + 3x + 2 __________________________ x + 6 | x^3 + 9x^2 + 20x + 12 -(x^3 + 6x^2) -------------- 3x^2... | 4 | [
-0.048828125,
0.052734375,
-0.0234375,
0.060302734375,
0.0106201171875,
0.01434326171875,
-0.0517578125,
-0.0419921875,
0.004638671875,
-0.021484375,
0.1123046875,
0.0185546875,
0.0014801025390625,
0.02001953125,
-0.04638671875,
-0.0032806396484375,
-0.06787109375,
0.0693359375,
... | 16,890 | 16890 | |
Sequence, Lebesgue Space
December 13th 2009, 02:07 PM
eskimo343
Sequence, Lebesgue Space
Show that if $|| f_n ||_1 \leq 2^{-n}$ for every $n \geq 1$ then $(f_n)_n$ converges to zero a.e.
This should follow from
If $(f_n)_n$ is a sequence in $L^1[0, 1]$ is such that $\sum_{n=1}^{\infty} || f_n ||_1 < \i... | 5 | [
0.013916015625,
-0.06689453125,
-0.0286865234375,
0.0145263671875,
0.10595703125,
0.0284423828125,
0.044921875,
0.06689453125,
-0.05029296875,
-0.032470703125,
-0.06689453125,
0.025390625,
0.033935546875,
-0.07373046875,
-0.0712890625,
-0.06396484375,
0.0247802734375,
-0.0437011718... | 16,891 | 16891 | |
Double integration using transformation.
January 5th 2011, 10:33 PM
Volga
Double integration using transformation.
Again, looking for your feedback!
Question 3. A transformation is defined for points (x,y) of $R^2$ not lying on the line L whose equation is x+y=0 by the formulae $u=x+y, v=\frac{y}{x+y}.$
... | 5 | [
-0.050537109375,
0.0279541015625,
0.0203857421875,
-0.0859375,
0.060302734375,
-0.017333984375,
0.015625,
-0.0286865234375,
-0.06884765625,
-0.0126953125,
0.044921875,
0.0380859375,
-0.134765625,
0.057373046875,
-0.01519775390625,
0.005767822265625,
-0.08349609375,
-0.059814453125,... | 16,892 | 16892 | |
Solve with the elimination method
May 20th 2011, 05:56 PM
jay1
Solve with the elimination method
I'm having trouble solving the following (ending up with an ordered pair) via the elimination method:
1) 0.05x + 0.25y = 44
2) 0.15x + 0.05y = 48
After multiplying by 100 to lose the decimals, I then mul... | 4 | [
-0.0196533203125,
0.059814453125,
0.03173828125,
-0.0027008056640625,
-0.0087890625,
-0.046142578125,
-0.028076171875,
-0.02587890625,
-0.07080078125,
0.031005859375,
0.03271484375,
0.03125,
0.0439453125,
0.01409912109375,
0.0235595703125,
0.056884765625,
-0.140625,
0.035888671875,... | 16,893 | 16893 | |
Angular velocity acquired by a non-conducting ring
Abdul Quadeer
If the electrons collide with the ions of the conductor, to conserve the momentum the ring has to move?
Interaction. I don't dare saying that is a force or something, since the simple "electron flow" inside a conductor that we know so far is a model, an... | 4 | [
0.0390625,
-0.0123291015625,
-0.0458984375,
0.006805419921875,
-0.032470703125,
-0.006103515625,
0.04833984375,
-0.0006561279296875,
0.07373046875,
0.003173828125,
-0.025390625,
-0.029541015625,
0.04052734375,
0.01300048828125,
-0.055419921875,
-0.07470703125,
0.0908203125,
0.06787... | 16,894 | 16894 | |
Double integration to find area
June 5th 2010, 06:26 PM #1
Junior Member
Joined
May 2010
Posts
74
Double integration to find area
Find the area in the first quadrant which is bounded by xy=1, xy=4, y=x and y=2x
I attempted the question by letting u=xy and v= y then i got the equations x=u/v and y=v
... | 5 | [
0.1025390625,
0.0169677734375,
0.01318359375,
-0.09130859375,
0.02099609375,
-0.07470703125,
-0.07275390625,
0.0045166015625,
-0.08642578125,
-0.024658203125,
0.016357421875,
0.0235595703125,
-0.0419921875,
0.10546875,
0.0654296875,
0.0654296875,
-0.031494140625,
-0.032470703125,
... | 16,895 | 16895 | |
Integrals
July 16th 2008, 12:05 PM #1
Integrals
Hey mathstud, you know what might be fun?. Go to the link I posted above and actually derive the solutions they give for the integrals. You have probably done that already.
Some of them are probably very challenging.
You know me well sir. I already was the... | 5 | [
-0.0859375,
-0.00848388671875,
0.033203125,
-0.03955078125,
0.048095703125,
0.025634765625,
0.09521484375,
0.025390625,
-0.051513671875,
0.047119140625,
0.0234375,
-0.021728515625,
-0.01275634765625,
0.01165771484375,
0.050048828125,
0.05615234375,
-0.029541015625,
-0.0103149414062... | 16,896 | 16896 | |
Patent US6396436 - Radar method for measuring distances between and relative speeds of a vehicle and one or more obstacles
FIELD OF THE INVENTION
The present invention relates to a radar method for measuring distances between and relative speeds of a vehicle and one or more obstacles.
BACKGROUND OF THE INVENTION
Fro... | 4 | [
-0.01177978515625,
0.01177978515625,
-0.08251953125,
-0.0380859375,
-0.0615234375,
0.0211181640625,
-0.01531982421875,
0.035400390625,
-0.00830078125,
-0.06494140625,
0.0302734375,
-0.0157470703125,
0.051025390625,
-0.06396484375,
-0.0693359375,
-0.0135498046875,
0.04443359375,
-0.... | 16,897 | 16897 | |
Patent US5305209 - Method for characterizing subterranean reservoirs
BACKGROUND OF THE INVENTION
The present invention relates generally to the field of enhanced hydrocarbon recovery and more particularly to a method for characterizing multilayer subterranean reservoirs.
Initial hydrocarbon production from subterrane... | 4 | [
-0.13671875,
0.01519775390625,
0.046630859375,
-0.02197265625,
-0.006591796875,
-0.0245361328125,
-0.052490234375,
0.0498046875,
-0.0260009765625,
-0.07568359375,
-0.138671875,
-0.0252685546875,
-0.021728515625,
-0.028076171875,
-0.10693359375,
-0.03857421875,
0.0166015625,
0.00147... | 16,898 | 16898 | |
Physics Forums - How do you derive the tidal force equation?
Quote:
Quote by student654321
I've been trying to derive the Roche Limit and have been succesful for the most part but out of curiousity i was wondering how the tidal force equation was derived to be: -2GMmr/d^3 ??
The tidal force is the difference betwee... | 5 | [
0.00537109375,
0.028076171875,
0.0888671875,
-0.050537109375,
0.0262451171875,
-0.07568359375,
-0.087890625,
0.0218505859375,
-0.006591796875,
0.04931640625,
0.0361328125,
-0.07763671875,
-0.00372314453125,
0.005615234375,
0.05322265625,
0.00543212890625,
-0.07080078125,
0.07910156... | 16,899 | 16899 |