content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Implicit Function Problem
first think in two dimensions. $f(x,y)=0$ means $y= \phi(x)$ although it may not always be possible to express $y$ as an explicit function of x. similarly $f(x,y,z)=0$ means $z=\phi(x,y)$$(\text{ or
} y= g(z,x))$. Again it may not always be possible to express $z$ explicitly as a function of $... | 4 | [
-0.0498046875,
-0.062255859375,
-0.0234375,
0.03955078125,
-0.0625,
0.031005859375,
0.0147705078125,
-0.04443359375,
0.042236328125,
0.01287841796875,
0.06982421875,
0.05078125,
-0.0142822265625,
0.046875,
0.06787109375,
-0.003448486328125,
-0.06396484375,
-0.0341796875,
-0.06201... | 400 | 400 | |
Re: st: Stata implementation of difference-in-differences with binary o
Notice: On March 31, it was announced that Statalist is moving from an email list to a forum. The old list will shut down on April 23, and its replacement, statalist.org is already up and running.
[Date Prev][Date Next][Thread Prev][Thread Next][... | 4 | [
-0.0947265625,
0.059326171875,
0.007171630859375,
-0.01263427734375,
0.01300048828125,
0.006378173828125,
-0.0869140625,
0.0927734375,
0.01953125,
0.08544921875,
-0.054443359375,
0.023681640625,
0.0201416015625,
-0.0306396484375,
-0.004852294921875,
0.018310546875,
0.00799560546875,
... | 401 | 401 | |
RE: st: RE: How to calculate standardized difference in means with surve
Notice: On March 31, it was announced that Statalist is moving from an email list to a forum. The old list will shut down on April 23, and its replacement, statalist.org is already up and running.
[Date Prev][Date Next][Thread Prev][Thread Next][... | 5 | [
-0.039306640625,
0.002197265625,
0.04345703125,
-0.0052490234375,
-0.0233154296875,
-0.01080322265625,
-0.1015625,
0.0625,
-0.01611328125,
0.044921875,
-0.006744384765625,
-0.01348876953125,
0.0380859375,
-0.04052734375,
-0.022705078125,
-0.006134033203125,
-0.00921630859375,
-0.01... | 402 | 402 | |
Heavenly Chips
Comments2k
145pages on
this wiki
Heavenly Chips is a "new game plus" or "prestige" mechanic introduced in Cookie Clicker version 1.035. If you reset your game (via the Reset command on the Menu tab, formerly called Soft Reset) you
will gain Heavenly Chips. The amount of Heavenly Chips in dependent... | 4 | [
-0.0986328125,
-0.052978515625,
-0.05615234375,
-0.008056640625,
-0.058837890625,
-0.0201416015625,
0.09130859375,
-0.00555419921875,
-0.0439453125,
0.00165557861328125,
0.07763671875,
-0.02001953125,
0.00811767578125,
-0.08251953125,
-0.0341796875,
-0.0361328125,
0.0498046875,
-0.... | 403 | 403 | |
Generating Gaussian Random Numbers
let X~N(mu,sigma) then z=((x-mu)/sigma)~N(0,1) this is basic normal dist stuff now lets do it backwards ie let z~N(0,1) then X=(sigma*z + mu)~N(mu,sigma) so there ya go. with a N(0,1) generator to
make it N(mu, sigma) transform it by sigma*X + mu.
you can prove this without too much ... | 4 | [
-0.0245361328125,
0.01953125,
0.05712890625,
-0.0174560546875,
0.006195068359375,
-0.037353515625,
0.054931640625,
-0.04052734375,
0.0023651123046875,
-0.050048828125,
0.007720947265625,
-0.00323486328125,
0.0986328125,
-0.053466796875,
-0.061279296875,
-0.0537109375,
0.0179443359375... | 404 | 404 | |
How to use Zorn's lemma
Quick description
If you are building a mathematical object in stages and find that (i) you have not finished even after infinitely many stages, and (ii) there seems to be nothing to stop you continuing to build, then
Zorn's lemma may well be able to help you.
Prerequisites
Basic concepts of ... | 5 | [
-0.09716796875,
0.042724609375,
0.0025787353515625,
-0.0181884765625,
0.042724609375,
0.0084228515625,
0.04736328125,
0.0081787109375,
0.0537109375,
-0.029296875,
-0.052734375,
-0.01251220703125,
0.046630859375,
0.012451171875,
0.0255126953125,
-0.046875,
-0.048583984375,
0.0510253... | 405 | 405 | |
Mortgage
November 22nd 2011, 12:17 PM
Len
Mortgage
A couple buys a home and signs a mortgage contract for $200,000 to be paid with monthly payments over a 25-year period at i^(2) = 0.04.
What is the monthly payment?
n=25*12
The confusing part for me is the interest rate, how do I know which one to... | 5 | [
0.0303955078125,
0.0703125,
-0.01519775390625,
-0.006011962890625,
-0.06640625,
-0.053955078125,
-0.05078125,
0.0247802734375,
0.00445556640625,
0.05029296875,
0.00653076171875,
-0.013916015625,
-0.01519775390625,
0.0419921875,
0.056396484375,
0.036865234375,
-0.03857421875,
0.1074... | 406 | 406 | |
Algebra II: Polynomials
Multiplicity of Roots and Complex Roots
The function P(x) = (x - 5)^2(x + 2) has 3 roots-- x = 5 , x = 5 , and x = - 2 . Since 5 is a double root, it is said to have multiplicity two. In general, a function with two identical roots is said
to have a zero of multiplicity two. A function with thr... | 4 | [
-0.1064453125,
0.0166015625,
-0.051025390625,
0.025634765625,
-0.00836181640625,
-0.02587890625,
0.0159912109375,
0.043212890625,
0.05029296875,
-0.0712890625,
0.0810546875,
-0.03564453125,
0.044189453125,
0.044189453125,
0.0035552978515625,
-0.048095703125,
-0.0771484375,
-0.01672... | 407 | 407 | |
Representation of numbers
Representation of Numbers
Table of Contents
When working with any kind of digital electronics in which numbers are being represented, it is important to understand the different ways numbers are repres... | 4 | [
-0.018798828125,
0.0242919921875,
-0.1259765625,
-0.07421875,
-0.03125,
-0.000240325927734375,
-0.027099609375,
0.07421875,
0.0673828125,
-0.031005859375,
-0.0242919921875,
0.00160980224609375,
0.080078125,
0.06884765625,
-0.037841796875,
-0.049560546875,
-0.05224609375,
0.04956054... | 408 | 408 | |
Homework Help
Posted by Sandra on Monday, July 2, 2012 at 9:58pm.
Marsha has nickels, dimes, and quarters. She has 207 coins total. Marcy has 13 less quarters than nickels. Find the number of each coin if she has a total of $28.
• Math - Reiny, Tuesday, July 3, 2012 at 12:48am
nickels --- x
quarters ---- x... | 4 | [
-0.0272216796875,
0.041748046875,
0.00469970703125,
-0.07958984375,
-0.076171875,
-0.0152587890625,
-0.000827789306640625,
0.032958984375,
-0.04052734375,
0.031982421875,
0.01141357421875,
-0.11669921875,
0.05078125,
0.01495361328125,
0.0634765625,
0.0234375,
-0.060546875,
0.028442... | 409 | 409 | |
solve radical expression
solve: sq rt of 5x^2 -7 = 2x and sq rt of 1-2x = 1+x
Last edited by Belanova; March 16th 2008 at 05:12 PM. Reason: latex
So for the first one.. x^2 -7 =0 +7 +7 x=7 no solution And the second one turns into 1 - 2x = 1 + x^2 -1 = -1 ----------------- -2x = x^2 divide both by 2 -2 = x no solutio... | 4 | [
-0.04150390625,
-0.02294921875,
0.09375,
0.109375,
0.000492095947265625,
0.01007080078125,
0.019775390625,
0.01513671875,
0.019287109375,
-0.002105712890625,
0.05078125,
-0.0225830078125,
0.0018768310546875,
0.076171875,
-0.078125,
0.025634765625,
-0.04833984375,
-0.04443359375,
... | 410 | 410 | |
Homework Help
Posted by help needed on Friday, July 6, 2012 at 3:17pm.
f(x)=1/x^2
use formal definition of derivative to find slope at x=2
• calculus - Steve, Friday, July 6, 2012 at 3:48pm
f'(x) = lim(h->0) [1/(x+h)^2 - 1/x^2]/h
ignoring the limit notation for now, we have
(x^2 - (x+h)^2)/(hx^2(x+h)... | 5 | [
-0.01519775390625,
0.039794921875,
0.0247802734375,
0.006805419921875,
0.038818359375,
0.0262451171875,
-0.0439453125,
0.05224609375,
0.01483154296875,
-0.0419921875,
0.1220703125,
-0.06787109375,
0.042236328125,
-0.00225830078125,
-0.021240234375,
0.0869140625,
-0.04638671875,
-0.... | 411 | 411 | |
Oscillations and Simple Harmonic Motion
Problem :
An object in circular motion has an easily defined period, frequency and angular velocity. Can circular motion be considered an oscillation?
Though circular motion has many similarities to oscillations, it can not truly be considered an oscillation. Though we can see ... | 4 | [
0.05224609375,
-0.0262451171875,
-0.06494140625,
-0.042724609375,
-0.03955078125,
-0.03564453125,
-0.039306640625,
0.0205078125,
0.1279296875,
0.0184326171875,
-0.0201416015625,
-0.0004253387451171875,
0.08056640625,
-0.036865234375,
0.11328125,
-0.041259765625,
0.0179443359375,
0.... | 412 | 412 | |
Posts by
Total # Posts: 1,619
Pre Cal.--Check my work?
Solve the system of equations: x - y - z = 2; x + 2y - 2z = 3; 3x - 2y - 4z = 5? well, you have: 1- x-y-z=2 2- x+2y-2z=3 3- 3x-2y-4z=5 multiply both sides of the equation 1 by 2: x-y-z=2 ===>
2x-2y-2z=4 add this by equation 2: 2x-2y-2z=4 x+2y-2z=3 ==> 3x - 4z = 7... | 4 | [
-0.06689453125,
0.0380859375,
-0.049072265625,
-0.058349609375,
-0.050048828125,
-0.03173828125,
0.061767578125,
0.048828125,
0.032470703125,
0.059326171875,
0.04541015625,
-0.0306396484375,
0.142578125,
0.035888671875,
-0.01904296875,
0.00201416015625,
-0.06982421875,
-0.030761718... | 413 | 413 | |
Homework Help
Posted by Sandhya on Friday, November 7, 2008 at 4:46am.
An object starts sliding up a plane tilted at an angle of alpha = 5.0◦ to
the horizontal. The object’s initial speed is v = 2.0m/s. How far from
the start point does the object come to a stop if μK = 0.20?
• physics - drwls, Friday, November 7... | 4 | [
-0.064453125,
0.0751953125,
0.054931640625,
-0.0400390625,
-0.00885009765625,
0.0101318359375,
-0.031494140625,
0.046875,
0.007537841796875,
0.11962890625,
0.06396484375,
0.0220947265625,
-0.06640625,
-0.0341796875,
-0.06396484375,
0.11328125,
0.0244140625,
0.05712890625,
-0.0708... | 414 | 414 | |
Homework Help
Posted by Britney on Wednesday, November 7, 2012 at 10:23pm.
Find the absolute maximum value and the absolute minimum value, if any, of the function.
g(t)=t/t-2 on[4,6]
• math - Reiny, Wednesday, November 7, 2012 at 10:42pm
I assume you meant
g(t) = t/(t-2)
g' (t) = ( (t-2)(1) - t(1) )/... | 5 | [
0.0185546875,
-0.0286865234375,
-0.0218505859375,
-0.095703125,
-0.04931640625,
-0.0225830078125,
-0.076171875,
0.12109375,
-0.00982666015625,
-0.0078125,
-0.00848388671875,
0.0125732421875,
0.036865234375,
-0.006744384765625,
-0.044189453125,
0.0439453125,
0.045654296875,
-0.06201... | 415 | 415 | |
Homework Help
Posted by Jc on Sunday, October 23, 2011 at 8:32pm.
A lawn mower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade is 0.65kg and its length is 0.55m. What is the rotational energy of the blade at its operating
angular speed of 3450 rpm? If all of the rotational kinet... | 4 | [
-0.0341796875,
0.0211181640625,
-0.0625,
-0.0255126953125,
0.017822265625,
-0.050537109375,
-0.02099609375,
0.0654296875,
0.0262451171875,
0.015869140625,
0.07958984375,
0.00140380859375,
-0.01348876953125,
-0.04443359375,
-0.0296630859375,
0.099609375,
-0.04541015625,
0.0717773437... | 416 | 416 | |
Suburban Lion's Blog
Rationalize This!
Filed under: Education,Math — Ryan Ruff @ 00:45
It's been awhile since I blogged, so I thought I'd take a moment to talk about couple interesting math problems that came up in a conversation I, @SuburbanLion, had on Twitter with @MathGuide,
@RepublicOfMath, and @GMichaelGuy abou... | 5 | [
0.00811767578125,
-0.0012359619140625,
-0.00830078125,
0.0517578125,
-0.031494140625,
-0.056396484375,
-0.036865234375,
0.01806640625,
-0.01556396484375,
0.0301513671875,
-0.01397705078125,
-0.04736328125,
0.00372314453125,
0.11669921875,
0.0101318359375,
0.031982421875,
0.0134277343... | 417 | 417 | |
Homework Help
Posted by Nikki on Friday, November 5, 2010 at 5:51pm.
A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30
ft from the base of the pole
• calculus - Anonymo... | 4 | [
-0.038330078125,
0.01202392578125,
0.04931640625,
0.00823974609375,
0.0186767578125,
-0.0250244140625,
-0.0133056640625,
0.033447265625,
-0.01104736328125,
0.021240234375,
0.09326171875,
0.006256103515625,
-0.07568359375,
0.04345703125,
0.031982421875,
0.1240234375,
-0.0159912109375,... | 418 | 418 | |
Homework Help
Posted by Paul--please help!! on Saturday, December 29, 2012 at 10:10pm.
I have posted this question earlier and had the answer given to me this way. But my teacher needs to know what type of factorization I used and I have tried to figure it out but have NO clue!!
This is the question.
Solve the follo... | 4 | [
0.00811767578125,
0.000942230224609375,
-0.025390625,
-0.0185546875,
-0.00250244140625,
0.0159912109375,
-0.02783203125,
0.020751953125,
-0.037353515625,
-0.042236328125,
0.07275390625,
0.031005859375,
0.053955078125,
0.006805419921875,
0.0189208984375,
0.0218505859375,
0.02294921875... | 419 | 419 | |
Homework Help
Posted by Anonymous on Sunday, February 21, 2010 at 8:10am.
three number form an arithmetric sequence. Their sum is 24.
A)If 'a' is the first number and 'd' the common difference, show that a+d=8
B)If the first number is decreased by 1 and the second number by 2, the three numbers then form a geometric... | 4 | [
-0.11083984375,
0.0233154296875,
0.037109375,
-0.109375,
-0.09716796875,
0.01806640625,
-0.0135498046875,
0.01336669921875,
-0.0035247802734375,
-0.01171875,
-0.0361328125,
-0.00897216796875,
0.0179443359375,
-0.00439453125,
-0.0126953125,
-0.0103759765625,
-0.0625,
0.041015625,
... | 420 | 420 | |
Loans
December 9th 2007, 06:49 PM
joblo
Loans
if anyone can give me a hand I am doing a test review and am stuck on this question.. thanks in advance so much
Question:
A $6500 dollar loan at 11.25% compounded monthly is to be repaid by three equal payments due three, six, and twelve months after the da... | 4 | [
0.0130615234375,
0.0263671875,
-0.005126953125,
-0.056640625,
-0.04736328125,
-0.06591796875,
-0.00262451171875,
-0.0115966796875,
-0.0224609375,
0.064453125,
-0.00775146484375,
-0.00860595703125,
0.02685546875,
-0.0576171875,
-0.0029296875,
0.00494384765625,
-0.09912109375,
-0.021... | 421 | 421 | |
marginal distribution
October 19th 2010, 09:47 PM
chutiya
marginal distribution
I have a pdf of two random variables given as $f(x,y) = \frac{K}{x}$ if $0<y<x \mbox{; and ;} 0<x<2$, and 0 otherwise.
I found out the value of K by integrating the pdf equal to 1, that is:
$\int_0^2 \int_0^x \frac{K}{x} \m... | 5 | [
0.06884765625,
-0.06494140625,
-0.0147705078125,
-0.04931640625,
0.016845703125,
-0.09619140625,
-0.00146484375,
0.002410888671875,
-0.0106201171875,
0.0693359375,
0.0162353515625,
0.019775390625,
0.028564453125,
0.0142822265625,
-0.0118408203125,
0.0035400390625,
0.047119140625,
-... | 422 | 422 | |
Homework Help
Posted by Jacob on Thursday, December 8, 2011 at 6:10pm.
Can someone help me with these T.T
1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞?
a) f(x) = -6x^4 - x^5 + 5x^3 - x^2 - 4x + 9
b)f(x)= 6x^4 + x^5 - 5x^3 + x^2 + 4x - 9
c)f(x) = 3x^2 + x - 11
... | 4 | [
-0.095703125,
-0.005035400390625,
0.018310546875,
-0.00396728515625,
0.056396484375,
0.0301513671875,
0.00872802734375,
0.03564453125,
-0.0311279296875,
0.01556396484375,
0.07421875,
-0.016845703125,
-0.0240478515625,
0.0047607421875,
-0.0223388671875,
0.034912109375,
-0.046142578125... | 423 | 423 | |
Homework Help
Posted by Mike on Saturday, October 28, 2006 at 8:16am.
I recently inquired how to solve a right triangle. I was referred to the Laws o Sine & Cosine quite rightly.
I have subsequently found a converter on the net which takes all the headache out of arriving at the correct answers.
The thing is I still... | 4 | [
-0.07763671875,
0.11572265625,
-0.03857421875,
0.027587890625,
0.0228271484375,
0.024169921875,
-0.09130859375,
0.0322265625,
-0.033447265625,
0.006561279296875,
0.068359375,
-0.0615234375,
-0.024169921875,
0.06884765625,
0.04736328125,
-0.0269775390625,
-0.119140625,
0.068359375,
... | 424 | 424 | |
ystem
┏━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
┃ a... | 4 | [
0.0250244140625,
-0.006927490234375,
0.0654296875,
-0.0032806396484375,
0.0322265625,
-0.049560546875,
0.023681640625,
0.017578125,
-0.02001953125,
-0.0986328125,
0.09423828125,
0.01446533203125,
0.006683349609375,
-0.0703125,
-0.01611328125,
0.07568359375,
0.01904296875,
0.1074218... | 425 | 425 | |
two Hermitian problems
February 10th 2011, 04:24 PM #1
Junior Member
Joined
Oct 2008
Posts
65
two Hermitian problems
First problem: Assume T: V -> V is a Hermitian transformation
Prove T^-1 is Hermitian if T is invertible.
Here, I can prove that T^n is Hermitian if n > 0 but I'm stuck for n = -1... | 4 | [
-0.0859375,
0.0673828125,
0.0732421875,
-0.048095703125,
-0.04296875,
-0.0026397705078125,
0.03955078125,
-0.007354736328125,
-0.048828125,
0.00946044921875,
0.01287841796875,
-0.0228271484375,
-0.03662109375,
-0.01025390625,
-0.050048828125,
-0.05078125,
-0.01214599609375,
-0.0094... | 426 | 426 | |
Custom Search
Empirical and Molecular Formula Calculations
Back to Percent Composition by Mass
Empirical formula is the smallest whole number ratio of moles of each element in a compound.
CaCl[2] --> there is 1 mole of calcium for every 2 moles of chlorine
Level 1 Simple Empirical formula questions
What is the... | 4 | [
-0.0020599365234375,
0.025146484375,
0.019287109375,
0.0283203125,
0.03271484375,
-0.06787109375,
0.0211181640625,
-0.001953125,
0.047607421875,
0.0322265625,
0.050537109375,
-0.1591796875,
0.06201171875,
0.10205078125,
0.039794921875,
0.0037384033203125,
-0.0927734375,
0.083007812... | 427 | 427 | |
Khan Academy
Skinny Triangle Simplification
There is one important way we can speed up our calculations using angular measure. It's an interesting trick all astronomers are familiar with. It applies when the angle of the object we are
observing is very small (much less than 1 degree). This is always the case when deal... | 4 | [
0.004425048828125,
0.11767578125,
0.047607421875,
-0.00775146484375,
0.0020751953125,
-0.06396484375,
-0.0751953125,
0.0311279296875,
0.025634765625,
-0.0196533203125,
-0.0296630859375,
-0.11865234375,
-0.040771484375,
0.031982421875,
0.055419921875,
-0.048095703125,
-0.01708984375,
... | 428 | 428 | |
Homework Help
Posted by Stuck on Monday, May 3, 2010 at 8:45pm.
"In vase A, there are 3 red balls and 5 white balls. In vase B, there are 6 red balls and 4 white balls. Two balls are to be drawn at random, without replacement, from each vase. What is the
probability of selecting 4 red balls?"
(Answer: 1/28)
So I tho... | 4 | [
0.054443359375,
0.01507568359375,
0.0830078125,
-0.039794921875,
-0.0115966796875,
0.048583984375,
0.0303955078125,
-0.0166015625,
0.012939453125,
0.0062255859375,
-0.044189453125,
-0.060302734375,
-0.01348876953125,
0.0306396484375,
0.05322265625,
0.111328125,
-0.040771484375,
-0.... | 429 | 429 | |
SparkNotes: SAT Physics: Problem Solving with Newton’s Laws
6.1 What Are Forces? 6.5 Key Formulas
6.2 Newton’s Laws 6.6 Practice Questions
6.3 Problem Solving with Newton’s Laws 6.7 Explanations
6.4 Types of Forces
Problem Solving with Newton’s Laws
Dynamics problem solvin... | 4 | [
0.0262451171875,
-0.041259765625,
0.0130615234375,
-0.02880859375,
0.00028228759765625,
0.0311279296875,
-0.045654296875,
0.01385498046875,
-0.016845703125,
0.1318359375,
0.031982421875,
-0.046630859375,
-0.05810546875,
0.052734375,
-0.01806640625,
-0.0079345703125,
-0.052490234375,
... | 430 | 430 | |
Newton Method
January 5th 2009, 12:34 PM #1
Newbie
Joined
May 2007
Posts
10
Hi heres my question.
Use Newton’s Method to approximate the coordinates (x,y) of the point on the parabola y=x^2 that is closest to the point (4,0).
Round all answers to 2 decimal places
Thanks for the help
di... | 4 | [
0.06103515625,
-0.0164794921875,
-0.0634765625,
-0.055419921875,
-0.00897216796875,
-0.00408935546875,
-0.06640625,
0.10986328125,
0.0179443359375,
0.0264892578125,
0.10693359375,
0.0400390625,
0.0189208984375,
0.0252685546875,
-0.07568359375,
0.048095703125,
0.0556640625,
-0.09667... | 431 | 431 | |
st: re: do 2sls, ivreg, etc. check the rank condition for identification
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
st: re: do 2sls, ivreg, etc. check the rank condition for identification?
From Kit Baum <baum@bc.edu>
To statalist@hsphsun2.harvard.edu
Subject st: re: do 2sls, i... | 4 | [
-0.1064453125,
-0.04345703125,
0.00142669677734375,
-0.002349853515625,
0.0341796875,
0.0859375,
-0.0693359375,
0.038330078125,
-0.05419921875,
-0.0230712890625,
-0.0101318359375,
-0.05078125,
0.04833984375,
-0.057861328125,
-0.10595703125,
-0.078125,
-0.018798828125,
0.02880859375... | 432 | 432 | |
How can I show this is equal to 2sec2x?
April 16th 2010, 12:50 PM #1
Member
Joined
Oct 2008
Posts
157
How can I show this is equal to 2sec2x?
I have the equation f(x) = $ln \tan(\frac{\pi}{4} + x)$ and I want to show that the derivative f ' (x) is equal to $2\sec 2x$.
I have gotten an expression for... | 5 | [
0.058837890625,
-0.052978515625,
0.09814453125,
0.0242919921875,
-0.029541015625,
0.026123046875,
-0.0013427734375,
0.06787109375,
0.0576171875,
0.0458984375,
0.080078125,
-0.095703125,
0.018310546875,
0.014892578125,
0.031982421875,
0.000919342041015625,
0.04248046875,
0.030273437... | 433 | 433 | |
Chessboard
September 17th 2009, 12:45 PM #1
Newbie
Joined
Sep 2009
Posts
19
Chessboard
I have a question. A castle and bishop are placed on different squares of a chessboard. What is the probability that one piece threatens the other? If I remember correctly one of them moves
diagonally and the other... | 5 | [
0.1328125,
0.021240234375,
-0.07470703125,
-0.0966796875,
-0.04345703125,
0.08251953125,
-0.078125,
0.006134033203125,
0.0087890625,
-0.049072265625,
-0.0277099609375,
-0.00372314453125,
0.049072265625,
-0.00836181640625,
-0.0927734375,
-0.04345703125,
-0.049072265625,
0.0629882812... | 434 | 434 | |
Calculus--Reiny
Posted by -Untamed- on Tuesday, October 4, 2011 at 8:50pm.
V = Radical
The expression:
V2(V5-12V3)-V3(V8-2V30) can be written in simplest form aVb-cVd, where a, b, c ,d are all positive integers. The value of a + b + c + d is ________.
So after solving all this out, I arrived at 7V10 - 14V6. That - ... | 4 | [
-0.0810546875,
0.043212890625,
-0.002349853515625,
-0.0189208984375,
0.00156402587890625,
0.00634765625,
-0.0220947265625,
0.01385498046875,
-0.01348876953125,
0.0034942626953125,
0.0311279296875,
-0.027587890625,
-0.037353515625,
0.0810546875,
-0.08056640625,
-0.06787109375,
-0.0393... | 435 | 435 | |
Fuzzy Physics – Pt 1: Constraint Dynamics
Posted on December 6th, 2009 by
Brad
If you’ve ever worked on any client projects requiring ‘realistic’ or ‘real-world’ physics, you’ve probably found that their idea of realistic differs wildly from the physics resultant from the Big
Bang. Likewise with games, its often eno... | 4 | [
-0.078125,
-0.087890625,
0.0400390625,
0.047607421875,
-0.0625,
-0.0439453125,
-0.0233154296875,
0.0081787109375,
0.021728515625,
0.015869140625,
-0.01495361328125,
-0.039306640625,
-0.060302734375,
-0.0036468505859375,
-0.0057373046875,
-0.01513671875,
0.08349609375,
-0.0368652343... | 436 | 436 | |
Homework Help
Posted by Mehak on Sunday, March 13, 2011 at 4:13pm.
A boat is pulled into a dock by a rope attached to the bow of the boat an passing through the pulley on the deck that is 1m high than the bow of the boat ,if the rope is pulled im at the rate of 0.8m
/s how fast does the boat approach the deck when it ... | 4 | [
-0.0517578125,
0.06787109375,
0.014404296875,
-0.048095703125,
0.0390625,
-0.01806640625,
-0.038818359375,
0.11962890625,
-0.053955078125,
-0.00811767578125,
0.08056640625,
0.03564453125,
-0.00982666015625,
0.1005859375,
-0.053955078125,
0.1533203125,
0.00543212890625,
0.0189208984... | 437 | 437 | |
Two Tangents at the same Point?
October 19th 2009, 02:29 PM #1
Super Member
Joined
Jun 2009
From
United States
Posts
676
Thanks
19
Two Tangents at the same Point?
Problem:
- Find equations of the tangents to the curve and that pass through the point (4,3).
$\frac{dy}{dx}=\frac{6t^2}{6t... | 4 | [
-0.07177734375,
-0.0791015625,
-0.0211181640625,
-0.003875732421875,
0.036865234375,
0.01458740234375,
0.0123291015625,
0.078125,
0.059326171875,
-0.051025390625,
0.046142578125,
-0.0576171875,
0.032470703125,
0.0014190673828125,
-0.0322265625,
0.004547119140625,
-0.11865234375,
-0... | 438 | 438 | |
Homework Help
Posted by Josh on Wednesday, May 14, 2008 at 8:46pm.
Can someone help me with this problem...I have no Idea how to do it.
Find the area between each curve and the x-axis for the given interval.
y=16x-x^3 from x=0 to x=4
Thanks for the help>>
• Pre Calculus - Reiny, Wednesday, May 14, 2008 at 9:03pm... | 5 | [
0.07958984375,
0.0133056640625,
-0.0135498046875,
-0.013427734375,
-0.05712890625,
-0.0732421875,
-0.0015869140625,
0.0576171875,
-0.04638671875,
-0.034912109375,
0.0277099609375,
0.0028076171875,
0.0439453125,
0.07763671875,
0.00543212890625,
0.08203125,
-0.048828125,
-0.079101562... | 439 | 439 | |
Weyl's theorem on complete reducibility
The purpose of this post is to show that the category of finite-dimensional representations of a semismple Lie algebra is a semisimple category; there is thus an analogy with Maschke’s theorem,
except in this case the proofs are more complicated. They can be simplified somewhat... | 4 | [
-0.09521484375,
0.060791015625,
0.07373046875,
0.03173828125,
-0.036376953125,
0.072265625,
-0.001800537109375,
-0.0181884765625,
-0.032958984375,
-0.07275390625,
-0.047119140625,
-0.03857421875,
-0.087890625,
-0.055419921875,
0.04443359375,
0.000888824462890625,
-0.021728515625,
0... | 440 | 440 | |
For which values of m does x^m satisfy the D.E.? Just wanting a double check.
September 22nd 2013, 11:31 AM
bkbowser
For which values of m does x^m satisfy the D.E.? Just wanting a double check.
Since I kept getting this wrong last night I thought I should double check with ya'll to make sure I'm doing everythin... | 4 | [
-0.01483154296875,
-0.048095703125,
0.00180816650390625,
0.0272216796875,
0.00469970703125,
0.024169921875,
0.01031494140625,
-0.025390625,
-0.00830078125,
0.0103759765625,
0.13671875,
-0.05908203125,
0.055419921875,
-0.03369140625,
0.031982421875,
0.08203125,
0.01251220703125,
0.0... | 441 | 441 | |
Help!World Problem:Calculus III Projectile Motion (Velocity & Acceleration)
November 28th 2007, 04:37 PM
googoogaga
Help!World Problem:Calculus III Projectile Motion (Velocity & Acceleration)
Please someone help yikes!
Assuming there is no resistance and knowing that a(t)= -9.8 m/s^2
Determine the maxi... | 5 | [
-0.060302734375,
0.034423828125,
0.006683349609375,
-0.08642578125,
0.00482177734375,
0.0064697265625,
-0.080078125,
0.134765625,
-0.08642578125,
0.07080078125,
0.045654296875,
0.0361328125,
0.0262451171875,
0.095703125,
0.0184326171875,
0.05419921875,
0.0225830078125,
0.0424804687... | 442 | 442 | |
Eigenvalues
October 14th 2011, 07:42 PM
dwsmith
Eigenvalues
M is a nxn matrix where all entries are 1's.
My conjecture is that n - 1 eigenvalues are 0 and the nth eigenvalues is one.
If this is correct, how do I go about proving it?
October 14th 2011, 08:38 PM
Deveno
Re: Eigenvalues
did you tes... | 5 | [
-0.03271484375,
0.003448486328125,
-0.01397705078125,
0.0181884765625,
0.007476806640625,
-0.00041961669921875,
-0.036376953125,
-0.04052734375,
-0.05517578125,
-0.01953125,
0.05322265625,
-0.0218505859375,
-0.00457763671875,
-0.0301513671875,
-0.060302734375,
0.00775146484375,
-0.02... | 443 | 443 | |
Homework Help
Posted by Tracy on Friday, June 28, 2013 at 12:20am.
In a survey of families in which both parents work, one of the questions asked was, "Have you refused a job, promotion, or transfer because it would mean less time with your family?" A total of 200
men and 200 women were asked this question. "Yes" was ... | 5 | [
0.005462646484375,
0.138671875,
0.0031585693359375,
0.0206298828125,
0.019775390625,
-0.016845703125,
0.03857421875,
0.05322265625,
-0.01116943359375,
0.0169677734375,
0.058837890625,
-0.07080078125,
-0.006378173828125,
0.032958984375,
0.049560546875,
-0.034423828125,
0.004638671875,... | 444 | 444 | |
Homework Help
Posted by COFFEE on Tuesday, July 10, 2007 at 2:08pm.
Please look at my work below:
Solve the initial-value problem.
y'' + 4y' + 6y = 0 , y(0) = 2 , y'(0) = 4
r^2+4r+6=0,
r=(16 +/- Sqrt(4^2-4(1)(6)))/2(1)
r=(16 +/- Sqrt(-8))
r=8 +/- Sqrt(2)*i, alpha=8, Beta=Sqrt(2)
y(0)=2, e^(8*0)*(c1*cos(0)+c2*si... | 4 | [
-0.006561279296875,
0.0072021484375,
-0.004486083984375,
-0.01263427734375,
0.0005645751953125,
0.052734375,
-0.053466796875,
0.047119140625,
0.014404296875,
-0.0033111572265625,
0.08740234375,
-0.055419921875,
-0.0498046875,
0.005096435546875,
-0.0228271484375,
0.030517578125,
-0.04... | 445 | 445 | |
Math Calc 1 Last question
Posted by Anonymous on Wednesday, December 12, 2012 at 5:56am.
Find the volume of the solid obtained by rotating the region bounded by the curves y=4x-x^2, y=8x-2x^2 about the line x=-2.
I got 256 pi/3 but pretty sure my work is wrong.
• Math Calc 1 Last question - Anonymous, Wednesday, D... | 5 | [
0.04345703125,
0.09423828125,
-0.01470947265625,
-0.0791015625,
-0.037353515625,
-0.00061798095703125,
-0.07568359375,
0.0927734375,
-0.015869140625,
-0.06787109375,
0.003387451171875,
-0.0341796875,
0.016357421875,
0.0032196044921875,
-0.0196533203125,
0.0072021484375,
-0.0270996093... | 446 | 446 | |
9th grade math honors
Posted by Anonymous on Sunday, November 6, 2011 at 7:17pm.
suppose t(1)=-91 and -67 is another term of an arithmetic sequence, with. What is the equation of the nth term of the sequence if there are n terms between these two?
• 9th grade math honors - Steve, Monday, November 7, 2011 at 11:27am... | 4 | [
-0.11328125,
0.048828125,
0.06494140625,
-0.09423828125,
-0.02392578125,
0.036865234375,
-0.0244140625,
0.0238037109375,
-0.0042724609375,
0.007537841796875,
0.051513671875,
-0.006256103515625,
0.0103759765625,
0.0023956298828125,
0.00958251953125,
-0.0908203125,
-0.033935546875,
-... | 447 | 447 | |
MathGroup Archive: March 2003 [00565]
[Date Index] [Thread Index] [Author Index]
Re: DSolve and N do not commute
• To: mathgroup at smc.vnet.net
• Subject: [mg40213] Re: [mg40184] DSolve and N do not commute
• From: Dr Bob <drbob at b... | 5 | [
-0.1162109375,
-0.0262451171875,
0.07421875,
0.06689453125,
0.037841796875,
0.039794921875,
-0.080078125,
-0.01409912109375,
0.0556640625,
0.0869140625,
0.0167236328125,
0.00811767578125,
-0.02197265625,
0.04345703125,
0.0380859375,
0.01953125,
-0.134765625,
-0.007293701171875,
-... | 448 | 448 | |
[SOLVED] exponential e problem, solve for roots
September 24th 2009, 02:39 PM
tkdiamond08
[SOLVED] exponential e problem, solve for roots
Hey all, I seem to be having some trouble finding the solutions (roots) to this equation:
0=210-10(e^(x/30) + e^(-x/30))
I got it down to this lol:
21=e^(x/30) ... | 4 | [
-0.07421875,
0.057861328125,
0.01019287109375,
0.0004329681396484375,
0.03125,
-0.031982421875,
-0.035888671875,
0.05712890625,
0.00958251953125,
0.061279296875,
0.11572265625,
-0.09814453125,
0.048828125,
0.05517578125,
0.09765625,
0.0322265625,
-0.1083984375,
0.058837890625,
-0... | 449 | 449 | |
Testing of a Single Population Mean
Hypothesis Testing of a Single Population Mean
This file is part of a program based on the Bio 4835 Biostatistics class taught at Kean University in Union, New Jersey. The course uses the following text:
Da... | 5 | [
0.016845703125,
0.08154296875,
0.045654296875,
0.0157470703125,
-0.01483154296875,
0.033203125,
-0.052001953125,
0.07568359375,
-0.0216064453125,
0.1005859375,
0.06689453125,
-0.0181884765625,
-0.0128173828125,
-0.0296630859375,
-0.044189453125,
-0.08544921875,
-0.0198974609375,
-0... | 450 | 450 | |
Minimum value of N
Hello banku12This is a toughie. I found that $N = 1$ quite early (using a spreadsheet) but proving it was tricky. First, note that: $\sin A = \cos(90^o-A)$ $=\cos(A-90^o)$ ...(1) Then, note that it's
quite easy to prove that: $\tan A - \tan B = \frac{\sin(A-B)}{\cos A \cos B}$ ...(2) Then (angles in ... | 4 | [
-0.004791259765625,
0.1298828125,
-0.017822265625,
0.01507568359375,
-0.0771484375,
0.0439453125,
0.01385498046875,
0.09375,
0.00543212890625,
-0.038818359375,
-0.037841796875,
-0.054443359375,
0.0235595703125,
0.0128173828125,
0.026611328125,
-0.06396484375,
-0.005706787109375,
0.... | 451 | 451 | |
Series and parallel circuits
Components of an electrical circuit or electronic circuit can be connected in many different ways. The two simplest of these are called series and parallel and occur very frequently. Components
connected in series are connected along a single path, so the same current flows through all of ... | 4 | [
-0.0169677734375,
-0.052001953125,
0.0037994384765625,
0.028076171875,
-0.037353515625,
0.00848388671875,
-0.05029296875,
-0.02734375,
0.11376953125,
0.03857421875,
0.0284423828125,
-0.0269775390625,
0.08935546875,
0.0172119140625,
-0.039794921875,
-0.0299072265625,
-0.1171875,
0.0... | 452 | 452 | |
Student's t-distribution (Fisher's distribution)
"Students" t-distribution is a family of curves depending on a single parameter, ν (the degrees of freedom). The distribution converges to the standard Normal distribution, N(0,1), as the parameter
ν→∞ (see graphs below). The t-distribution is used in place of the stand... | 4 | [
-0.07275390625,
0.020263671875,
-0.0277099609375,
0.017822265625,
-0.044677734375,
-0.022216796875,
0.0289306640625,
0.10009765625,
0.07861328125,
0.05908203125,
0.1826171875,
-0.0123291015625,
0.0234375,
0.0238037109375,
-0.020263671875,
-0.1083984375,
0.052001953125,
-0.081542968... | 453 | 453 | |
Re: st: How to store marginal effect value after using margin command?
Notice: On March 31, it was announced that Statalist is moving from an email list to a forum. The old list will shut down on April 23, and its replacement, statalist.org is already up and running.
[Date Prev][Date Next][Thread Prev][Thread Next][Da... | 5 | [
0.0010528564453125,
-0.002960205078125,
-0.0966796875,
0.04638671875,
0.09130859375,
0.115234375,
-0.0026397705078125,
0.0230712890625,
0.045654296875,
0.059814453125,
0.019287109375,
0.07080078125,
-0.004180908203125,
-0.05029296875,
0.03173828125,
0.033935546875,
0.0240478515625,
... | 454 | 454 | |
find the value of...
Given that $x^2-x-1=0$, find x^8 + $\frac{1}{x^8}$. *show working and explanation PLS
Hi $x^2-x-1 = 0$ $x^2 = x+1$ Multiplying par x $x^3 = x^2+x = x+1+x = 2x+1$ Multiplying par x $x^4 = 2x^2+x = 2(x+1)+x = 3x+2$ You can go on like this or use the Fibonacci sequence If $x^n = a_n
x+b_n$ Then $x^{n... | 5 | [
-0.0751953125,
0.0810546875,
0.0166015625,
0.042724609375,
-0.0537109375,
0.05029296875,
-0.044677734375,
0.0419921875,
0.0155029296875,
-0.07080078125,
0.01495361328125,
-0.0947265625,
-0.02392578125,
0.0458984375,
-0.10107421875,
0.051513671875,
-0.033935546875,
0.01495361328125,... | 455 | 455 | |
Homework Help
Posted by Anonymus on Monday, February 28, 2011 at 5:04pm.
Verify that tan^2(x)+6=sec^2(x)+5
• Math - Anonymous, Monday, February 28, 2011 at 6:51pm
Rewrite equation:
tan^2(x)+6=sec^2(x)+5
6-5=sec^2(x)tan^2(x)
sec^2(x)-tan^2(x)=1
Now you must verify that:
sec^2(x)-tan^2(x... | 4 | [
-0.0654296875,
0.0322265625,
0.08642578125,
0.08154296875,
-0.032958984375,
0.03857421875,
0.010498046875,
-0.0322265625,
0.045654296875,
-0.0308837890625,
0.0703125,
-0.03125,
-0.02783203125,
0.015869140625,
-0.0240478515625,
-0.023681640625,
-0.036376953125,
0.019287109375,
-0.... | 456 | 456 | |
Math OPTIMIZATION
Posted by Willoby on Saturday, September 3, 2011 at 1:47am.
A home gardener plans to enclose two rectangular gardens with fencing. The dimensions of the garden: x by 12-x, y by 12-x-y
a. Find the values of x and y that maximize the total area enclosed.
b. What is the maximum total area enclosed?
c... | 5 | [
0.0771484375,
0.06591796875,
-0.03564453125,
-0.1015625,
-0.01202392578125,
-0.06005859375,
-0.019287109375,
0.0341796875,
-0.0810546875,
0.0810546875,
0.005645751953125,
0.044921875,
0.040771484375,
0.072265625,
0.0234375,
0.1171875,
-0.002197265625,
-0.03271484375,
-0.125,
0.... | 457 | 457 | |
Lagrange Multipliers (Question)
March 9th 2010, 07:36 PM #1
Member
Joined
Oct 2008
Posts
96
Lagrange Multipliers (Question)
I have to find the points on the sphere $x^2+y^2+z^2=36$ that are closest to and furthest from the point $(1,2,2)$
This is where I am up to. And I will show where I am stuck.
... | 5 | [
0.059326171875,
-0.01324462890625,
-0.07568359375,
-0.0771484375,
-0.006866455078125,
0.046630859375,
-0.00665283203125,
0.028564453125,
-0.01470947265625,
0.05517578125,
-0.005767822265625,
0.0634765625,
0.031982421875,
0.0035400390625,
-0.0235595703125,
0.01165771484375,
0.05200195... | 458 | 458 | |
homogenous differencial equation
write out a homogeneous linear D.E for which 5e^(2x)+2e^(-x)-3xe^(-x)+cos 3x is a solution
y'' - 2y' + y = 0 gives y = Ae^(-x) + Bxe^(-x) Let y = 5e^(2x) y' = 10e^(2x) y'' = 20e^(2x) So y'' - 2y' + y = 20e^(2x) - 20e^(2x) + 5e^(2x) = 5e^(2x) Let y = cos 3x y' = -3 sin 3x y'' = -9 cos 3... | 5 | [
-0.06689453125,
-0.041015625,
0.035400390625,
-0.05615234375,
0.0498046875,
0.08837890625,
0.017822265625,
-0.038330078125,
-0.055419921875,
0.024169921875,
0.06982421875,
-0.0859375,
0.02490234375,
-0.033203125,
0.0703125,
-0.010009765625,
-0.042236328125,
-0.056396484375,
-0.08... | 459 | 459 | |
The poisson....
April 26th 2009, 06:29 AM
roresc
The poisson....
The problem as stated is Let X have a poisson distribution w/ lambda = n.
If Y= (X-n)/Sqrt(n), find the MGF for Y.
I know that M(t) for X is given by e^n((e^t)-1). I cannot figure out how to make the jump to find the MGF for Y. I have tri... | 5 | [
-0.02001953125,
-0.03271484375,
0.01202392578125,
-0.00119781494140625,
0.010009765625,
-0.04345703125,
0.07958984375,
-0.0172119140625,
0.0419921875,
0.01495361328125,
0.07080078125,
0.09521484375,
-0.0174560546875,
-0.007781982421875,
0.0191650390625,
0.00823974609375,
0.021484375,... | 460 | 460 | |
RE: st: RE: Re: RE: RE: RE: time random effects
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
RE: st: RE: Re: RE: RE: RE: time random effects
From "ALICE DOBSON" <alice_dobson@hotmail.com>
To statalist@hsphsun2.harvard.edu
Subject RE: st: RE: Re: RE: RE: RE: time random effects
... | 5 | [
-0.12353515625,
0.032958984375,
0.03173828125,
0.11328125,
0.0205078125,
0.0269775390625,
-0.0546875,
0.002349853515625,
0.064453125,
0.0576171875,
0.026123046875,
-0.0264892578125,
-0.031982421875,
-0.0306396484375,
-0.0255126953125,
0.038330078125,
0.0517578125,
-0.035888671875,
... | 461 | 461 | |
rotate coordinate axis &identify the conic.
June 6th 2010, 08:07 AM
ramiee2010
rotate coordinate axis &identify the conic.
$17x^2-312xy+108y^2-900=0$
Raotate the coordinateaxes to remove the xy-term and then identify the type of the conical represent by rhe equation.
plz hint about Raotate the coordin... | 4 | [
-0.019287109375,
0.080078125,
-0.0002880096435546875,
-0.0849609375,
0.01409912109375,
0.00872802734375,
-0.039794921875,
0.00112152099609375,
0.002899169921875,
-0.01373291015625,
0.12255859375,
0.023193359375,
0.0164794921875,
0.03369140625,
-0.00439453125,
0.06005859375,
-0.064453... | 462 | 462 | |
Solve dz/dx-z(2yx+x^2)=x pls help.
Solve dz/dx-z(2yx+x^2)=x where y =1 i.e dz/dx=2zx+zx^2+x pls also illustrate the procedure
This is a first order linear ODE. (At least for y = 1.) dz/dx - (2x + x^2)z = x If you can't think of any other way, you can always find an integrating factor. The equation is in the form z' + ... | 4 | [
-0.068359375,
0.00830078125,
0.06396484375,
0.09228515625,
0.01470947265625,
-0.041748046875,
0.009765625,
-0.016845703125,
-0.04833984375,
-0.006195068359375,
0.0634765625,
0.01220703125,
0.032958984375,
0.0289306640625,
-0.0238037109375,
0.00165557861328125,
0.020263671875,
0.072... | 463 | 463 | |
Show that f is not differentiable at 0
October 2nd 2013, 03:12 PM
desmonds17
Show that f is not differentiable at 0
Hey guys, I need help with this question that has been bugging me...
Let f(x) = x^3/5. Show that f is not differentiable at zero. Show that y = x^3/5 has a vertical tangent line at (0,0)
I... | 4 | [
-0.0009918212890625,
-0.00408935546875,
-0.00762939453125,
-0.0184326171875,
0.0035858154296875,
-0.0140380859375,
-0.0306396484375,
-0.022216796875,
0.0245361328125,
0.036865234375,
0.1103515625,
-0.0152587890625,
-0.0498046875,
0.055419921875,
-0.01263427734375,
0.0595703125,
-0.03... | 464 | 464 | |
QUESTION 1 Binomial Distribution
Download Policy: Content on the Website is provided to you AS IS for your information and personal use only and may not be sold or licensed nor shared on other sites. SlideServe reserves the right to
change this policy at anytime. While downloading, If for some reason you are not abl... | 4 | [
-0.01397705078125,
0.008544921875,
-0.07373046875,
-0.0018310546875,
0.01287841796875,
0.04150390625,
0.040283203125,
0.0106201171875,
0.06982421875,
0.08935546875,
0.03662109375,
0.027587890625,
0.048828125,
-0.0140380859375,
-0.0208740234375,
0.0185546875,
0.0146484375,
-0.020874... | 465 | 465 | |
st: standard error obtained from ttest and linear regression
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
st: standard error obtained from ttest and linear regression
From "Aijing Shang" <shang@ispm.unibe.ch>
To <statalist@hsphsun2.harvard.edu>
Subject st: standard error obtaine... | 5 | [
-0.02587890625,
0.0167236328125,
0.0400390625,
0.00153350830078125,
-0.033447265625,
0.035400390625,
-0.103515625,
0.15625,
0.06884765625,
0.0302734375,
0.01251220703125,
0.011962890625,
0.0004405975341796875,
-0.083984375,
-0.0537109375,
-0.08984375,
-0.014892578125,
-0.0844726562... | 466 | 466 | |
drilled sphere
March 26th 2008, 06:24 AM #1
Junior Member
Joined
Jan 2008
Posts
48
drilled sphere
A ball of radius 14 has a round hole of radius 4 drilled through its center. Find the volume of the resulting solid.
I keep getting 10086.6068 but its not right any help would be nice thanks
Since ... | 5 | [
0.032470703125,
0.04052734375,
0.006744384765625,
-0.0026702880859375,
-0.006805419921875,
-0.057861328125,
0.00003910064697265625,
-0.0038604736328125,
0.11572265625,
0.01080322265625,
-0.08154296875,
0.00689697265625,
-0.0184326171875,
0.06201171875,
-0.016845703125,
-0.103515625,
... | 467 | 467 | |
st: Mahalanobis Distances/Syntax/Stata
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
st: Mahalanobis Distances/Syntax/Stata
From "Anthony Petrosino" <apetros@WestEd.org>
To statalist@hsphsun2.harvard.edu
Subject st: Mahalanobis Distances/Syntax/Stata
Date Tue, 20 Feb 2007 13:40... | 4 | [
-0.08740234375,
0.05224609375,
-0.0126953125,
-0.0177001953125,
-0.078125,
0.06982421875,
-0.031982421875,
0.00131988525390625,
-0.0595703125,
0.010498046875,
0.09765625,
-0.022705078125,
-0.011962890625,
-0.0400390625,
-0.06591796875,
0.076171875,
0.0036468505859375,
0.03735351562... | 468 | 468 | |
Homework Help
Posted by statstudent on Wednesday, August 29, 2007 at 12:15pm.
I'm trying to work through the proof for
SST = SSM + SSE
MEAN = ∑(X)/N
SST = ∑((x - MEAN)^2)
= ∑(x^2 - 2 * x1 * MEAN + MEAN^2)
= ∑(x^2) - 2 * MEAN * ∑(x) + N * MEAN^2
= ∑(x^2) - 2 * ∑(x)^2/N + ∑(x)^2/N
= ∑(x^2) - ∑(x)^2/N
SSM = ∑((MO... | 4 | [
-0.064453125,
0.0238037109375,
0.0634765625,
0.07763671875,
0.0267333984375,
0.03173828125,
-0.05126953125,
0.05712890625,
0.06982421875,
-0.0732421875,
0.12158203125,
-0.0712890625,
0.055908203125,
-0.025390625,
0.0091552734375,
-0.01123046875,
-0.04443359375,
-0.027099609375,
-... | 469 | 469 | |
Homework Help
Posted by alli on Sunday, August 19, 2012 at 8:00pm.
determine the quadratic function f whose graph is given.
the vertex is (1,-3)
y intercept is -2
please show work so i can see how this is done, thank you!
• college algebra - Anonymous, Sunday, August 19, 2012 at 9:36pm
For a vertex of (1,-3... | 4 | [
-0.024169921875,
-0.053466796875,
-0.016845703125,
-0.08056640625,
-0.00555419921875,
0.005401611328125,
0.00665283203125,
0.0157470703125,
0.01416015625,
0.041015625,
0.053466796875,
-0.0286865234375,
0.0269775390625,
0.031005859375,
0.00421142578125,
0.039794921875,
-0.057373046875... | 470 | 470 | |
find it
If a,b,c and p are rational numbers, and a+bp^1/3+cp^2/3=0 and p is not a perfect cube. prove that a=b=c=0
First proof (requires knowledge in fields extensions): the cubic rational extension $\mathbb{Q}(\sqrt[3]{p})/\mathbb{Q}$ is of degree 3 since $x^3-p$ is the minimal polynomial of $\sqrt[3]{p}$
(why?), and... | 5 | [
0.004180908203125,
-0.00469970703125,
-0.044677734375,
0.08154296875,
-0.029296875,
0.029296875,
0.060791015625,
-0.048095703125,
0.01214599609375,
-0.07763671875,
-0.029296875,
-0.041259765625,
-0.0203857421875,
0.018798828125,
0.0262451171875,
-0.045654296875,
-0.08642578125,
0.0... | 471 | 471 | |
Euler's Method
April 11th 2012, 03:11 PM #1
Junior Member
Joined
Oct 2011
Posts
73
Euler's Method
From an AP Calculus BC exam guide book:
Use Euler's method with step increment h=0.1 to approximate y(0.3), where y(x) is the solution to the IVP y'=y+xy, y(0)=1.
We think the answer is (C) 1.37. Th... | 5 | [
-0.038818359375,
0.0235595703125,
0.061279296875,
-0.04345703125,
-0.01422119140625,
-0.03369140625,
0.05322265625,
0.0869140625,
-0.0810546875,
0.049072265625,
0.05322265625,
-0.02685546875,
0.064453125,
-0.068359375,
-0.076171875,
0.02001953125,
-0.07666015625,
-0.07861328125,
... | 472 | 472 | |
Proposition 21
If as many even numbers as we please are added together, then the sum is even.
Let as many even numbers as we please, AB, BC, CD, and DE, be added together.
I say that the sum AE is even.
Since each of the numbers AB, BC, CD, and DE is even, therefore each has a half part, so that the sum AE also has... | 4 | [
-0.10546875,
0.0830078125,
0.068359375,
0.042724609375,
0.0159912109375,
0.0111083984375,
0.00634765625,
0.03759765625,
0.02294921875,
0.01055908203125,
-0.0201416015625,
-0.03955078125,
-0.035888671875,
-0.06494140625,
-0.01611328125,
-0.06787109375,
-0.087890625,
-0.0118408203125... | 473 | 473 | |
MathGroup Archive: December 2005 [00044]
[Date Index] [Thread Index] [Author Index]
Re: Problem with RSolve
• To: mathgroup at smc.vnet.net
• Subject: [mg62722] Re: Problem with RSolve
• From: Maxim <m.r at inbox.ru>
• Date: Fri, 2 ... | 5 | [
-0.033935546875,
-0.034423828125,
0.04833984375,
0.095703125,
-0.0025482177734375,
-0.06787109375,
0.018798828125,
-0.0260009765625,
0.06298828125,
0.02099609375,
0.006072998046875,
0.02880859375,
0.012451171875,
-0.00311279296875,
-0.044921875,
-0.00933837890625,
-0.0625,
-0.03857... | 474 | 474 | |
Homework Help
Posted by Julia H. on Sunday, September 18, 2011 at 10:34pm.
Assuming monthly payment was 804.45 on a 50,000 loan of 9% compound interest for 7 years. How would I calculate what the unpaid balance is and the end of 12 months? Then again a the end of 72 months?
Am I on the right track:
PV .0075 over 1 -... | 5 | [
0.029296875,
0.099609375,
-0.0120849609375,
-0.02392578125,
-0.06884765625,
-0.053466796875,
-0.00518798828125,
0.061767578125,
-0.024658203125,
0.05517578125,
0.0264892578125,
-0.00311279296875,
0.0277099609375,
-0.03466796875,
-0.025390625,
-0.00010728836059570312,
-0.12158203125,
... | 475 | 475 | |
Elastic Collision Problems
Solving Elastic Collision Problems
Two methods will be shown to solve the following problem.
Problem: A cart with mass 0.340 kg moving on a frictionless linear air track at 1.2 m/s strikes a second cart of unk... | 5 | [
0.0712890625,
0.07080078125,
0.001007080078125,
0.01239013671875,
0.057861328125,
-0.04833984375,
-0.012451171875,
0.06640625,
-0.052734375,
0.054931640625,
0.052978515625,
-0.0123291015625,
-0.064453125,
0.0118408203125,
-0.05615234375,
0.034912109375,
-0.00927734375,
0.0302734375... | 476 | 476 | |
Homework Help
Posted by Amponsah on Monday, April 9, 2012 at 4:42am.
A bag contains some balls of which 1/4 are red. Forty more balls of which 5 are red are added. If 1/5 of all the balls are red, how many balls was there originary?
• Probability - Reiny, Monday, April 9, 2012 at 9:57am
original number of ball... | 4 | [
0.0615234375,
0.0615234375,
0.0634765625,
-0.02783203125,
0.00020313262939453125,
-0.021484375,
0.10791015625,
-0.00396728515625,
0.032958984375,
0.06884765625,
0.02001953125,
-0.033935546875,
0.123046875,
0.033203125,
0.00136566162109375,
0.0888671875,
0.0172119140625,
-0.08300781... | 477 | 477 | |
Hypothesis Testing In Research
This topic will discuss what a hypothesis is, the place of hypothesis testing in research and what the steps for hypothesis testing are.
Hypothesis: A prediction of the outcome of a study. Hypotheses are drawn from theories and research questions or from direct observations.
In fac... | 4 | [
0.015869140625,
0.07763671875,
-0.02587890625,
0.048828125,
-0.017578125,
0.01348876953125,
-0.006072998046875,
0.10205078125,
0.08935546875,
0.11181640625,
0.04443359375,
-0.021484375,
0.0322265625,
0.035888671875,
0.054443359375,
-0.051025390625,
0.000873565673828125,
0.028320312... | 478 | 478 | |
Let N be subgroup of the center of G. Show if G/N is a cyclic group, then G abelian
December 9th 2010, 07:01 AM
kathrynmath
Let N be subgroup of the center of G. Show if G/N is a cyclic group, then G abelian
Let N be a subgroup of the center of G. Show that if G/N is a cyclic group, then G must be abelian.
... | 5 | [
-0.055419921875,
0.083984375,
0.0390625,
0.0052490234375,
0.0079345703125,
-0.03369140625,
0.0693359375,
-0.031005859375,
-0.02099609375,
-0.07861328125,
0.0296630859375,
-0.0390625,
0.050537109375,
-0.1025390625,
-0.023193359375,
0.08154296875,
-0.0625,
0.052490234375,
-0.024658... | 479 | 479 | |
Math - Implict differentiation
Posted by Ren on Thursday, March 25, 2010 at 4:36pm.
How do I find the value of d^2y/dx^2 for the function defined implicitly by xy^2 + y = 2 at the point (1,-2)?
• Math - Implict differentiation - bobpursley, Thursday, March 25, 2010 at 5:48pm
xy^2+y=2
y^2 dx + 2xy dy+dy=0
... | 5 | [
-0.08984375,
-0.040771484375,
0.06103515625,
0.0225830078125,
0.056640625,
-0.0390625,
-0.043701171875,
0.041259765625,
0.015869140625,
-0.0057373046875,
0.126953125,
-0.0159912109375,
-0.0015716552734375,
0.0595703125,
-0.028564453125,
0.045166015625,
-0.0654296875,
-0.08447265625... | 480 | 480 | |
Unit circle and similar triangles
October 5th 2013, 04:53 PM #1
Member
Joined
Jan 2010
Posts
88
Unit circle and similar triangles
Consider the line y=t(x + 1), where t is rational, and passing through two points on the unit circle (around the origin O): the point P (−1, 0) and the point R(x, y), say in t... | 4 | [
-0.1064453125,
0.0216064453125,
-0.07080078125,
-0.0177001953125,
0.0081787109375,
-0.05859375,
0.0306396484375,
0.039794921875,
0.06787109375,
-0.08251953125,
0.07666015625,
-0.018798828125,
0.01611328125,
0.0849609375,
-0.00909423828125,
-0.047119140625,
-0.03076171875,
-0.138671... | 481 | 481 | |
Construction of the can antenna
The MicroVert by Jürgen Schäfer, DL7PE, based on foreign sources was described briefly in different places, e.g. [1]. But his version could not inspire me, since the necessary lengths of the 22 mm
chunky pipes in the lower amateur radio bands become very fast unmanageable. After the in [... | 5 | [
-0.018310546875,
0.07373046875,
-0.040771484375,
-0.04150390625,
-0.040283203125,
-0.0361328125,
-0.002197265625,
0.130859375,
-0.10498046875,
-0.0032501220703125,
-0.0498046875,
0.04052734375,
0.033203125,
-0.0004425048828125,
-0.000537872314453125,
-0.01080322265625,
0.021240234375... | 482 | 482 | |
Brazilian Journal of Chemical Engineering
Serviços Personalizados
Artigo
Indicadores
Links relacionados
Compartilhar
versão impressa ISSN 0104-6632
Braz. J. Chem. Eng. v.17 n.4-7 São Paulo dez. 2000
http://dx.doi.org/10.1590/S0104-66322000000400003
MATHEMATICAL... | 4 | [
0.037109375,
-0.04248046875,
-0.00823974609375,
-0.004486083984375,
-0.026123046875,
-0.00144195556640625,
-0.007720947265625,
0.1064453125,
0.0005950927734375,
-0.0908203125,
0.00225830078125,
0.060791015625,
-0.07275390625,
0.041748046875,
-0.006317138671875,
-0.0291748046875,
0.02... | 483 | 483 | |
Homework Help
Posted by David on Thursday, April 1, 2010 at 11:03pm.
4. For the curve with y = -2x3 + x - 6, find:
(b.) the gradient at the point (-1, -5)
(c.) the equation of the tangent line at the point (-1, -5).
• math - Reiny, Thursday, April 1, 2010 at 11:18pm
y = -2x^3 + x - 6
dy/dx = -6x + 1
... | 4 | [
-0.140625,
-0.044189453125,
0.0233154296875,
-0.000804901123046875,
0.03955078125,
0.10986328125,
0.035888671875,
0.05615234375,
-0.04736328125,
-0.0308837890625,
0.03369140625,
-0.051513671875,
-0.01708984375,
-0.01025390625,
-0.0247802734375,
0.11669921875,
-0.142578125,
-0.03442... | 484 | 484 | |
math/algebra1a
Posted by Confused on Saturday, May 26, 2007 at 6:25pm.
Write the equation of the line passing through (-3, -5)and (3,0).
(a)y= -6/5x - 5/2
(b)y= 5/6x - 5/2
(c)y= 5/6 x + 2/5
(d)y= -6/5x + 2/5
You have to get the slope of the line using equation y2-y1/x2-x1.
[0-(-5)]/[3-(-3)] = 5/6
Now that you h... | 4 | [
-0.099609375,
-0.078125,
0.005615234375,
-0.0546875,
0.02880859375,
0.0247802734375,
0.007354736328125,
0.0556640625,
-0.0184326171875,
0.006439208984375,
0.01153564453125,
-0.0252685546875,
-0.0010986328125,
-0.0172119140625,
0.00811767578125,
0.16796875,
-0.1279296875,
0.00823974... | 485 | 485 | |
tan x = 1/2
Number of results: 1,904
Trigonometry
Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)
November 8, 2010 by Dee
Trig - tan 15 using composite argument?
tan 15 ... | 4 | [
-0.052001953125,
0.0419921875,
0.06591796875,
-0.0263671875,
-0.0517578125,
0.0274658203125,
0.02490234375,
0.013427734375,
0.01312255859375,
0.0174560546875,
-0.0108642578125,
-0.05908203125,
-0.0028533935546875,
0.0517578125,
0.10888671875,
0.0284423828125,
-0.011474609375,
0.003... | 486 | 486 | |
Binomial Theorem
November 14th 2007, 06:17 PM #1
Member
Joined
Oct 2006
Posts
185
Thanks
1
Binomial Theorem
The first four terms in the expansion of $(1+px)^{n}$, where $n>0$ are $1+qx+66k^{2}x^{2}+5940x^{3}$. Calculate the value of n, of p and of q.
Thanks!
Last edited by acc100jt; Novembe... | 4 | [
-0.001251220703125,
0.07275390625,
-0.0634765625,
0.0703125,
-0.0712890625,
0.0208740234375,
0.10693359375,
-0.03857421875,
0.051025390625,
0.01953125,
-0.0634765625,
0.0380859375,
0.0230712890625,
0.0498046875,
0.052978515625,
0.0673828125,
-0.087890625,
-0.0031890869140625,
-0.... | 487 | 487 | |
Re: st: Strange -robust- results with a singleton dummy
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
Re: st: Strange -robust- results with a singleton dummy
From vwiggins@stata.com (Vince Wiggins, StataCorp)
To statalist@hsphsun2.harvard.edu
Subject Re: st: Strange -robust- resu... | 4 | [
-0.048828125,
-0.01220703125,
0.001983642578125,
0.1240234375,
0.046630859375,
0.0145263671875,
0.0186767578125,
-0.031005859375,
0.0137939453125,
-0.00165557861328125,
-0.0113525390625,
-0.02001953125,
-0.0179443359375,
-0.046630859375,
-0.02978515625,
-0.044921875,
0.049072265625,
... | 488 | 488 | |
How to solve f(x) equations
August 6th 2011, 07:34 AM
KayPee
How to solve f(x) equations
Hi How do I approach the question below:
Let f(x)= 2x^2 - 5,g(x)= 3-4x, k(x) = 6x/(x^2-2)
Find the following and simplify:
a)g(-1)
b) (g+k)(1)
c)(fk)(2)
d f(g(1)
e (f(x+h) - f(x))/h
I ... | 4 | [
-0.00738525390625,
-0.0054931640625,
0.029296875,
-0.02880859375,
-0.0279541015625,
0.037353515625,
0.0186767578125,
-0.07763671875,
0.00762939453125,
0.07470703125,
0.060791015625,
-0.06982421875,
0.01953125,
-0.0712890625,
-0.0185546875,
0.056640625,
-0.037353515625,
0.0257568359... | 489 | 489 | |
Homework Help
Posted by mike on Tuesday, January 15, 2008 at 1:44pm.
Just to see if we are talking the same language:
Navigation triangle PZX
LHA = 194.65 degrees (P)
Lat of Z 51.74 degrees
Lat of X 39.24 degrees
Solve for distance p
Thanks
Mike
• Navigation - Damon, Tuesday, January 15, 2008 at 6:18pm
... | 4 | [
0.00933837890625,
0.1025390625,
-0.025390625,
-0.058837890625,
0.010009765625,
-0.02392578125,
-0.03515625,
0.062255859375,
-0.041259765625,
-0.0142822265625,
0.06298828125,
-0.046875,
-0.00628662109375,
-0.00836181640625,
0.06640625,
-0.043701171875,
-0.05810546875,
-0.05493164062... | 490 | 490 | |
Homework Help
Posted by Gemma on Sunday, May 24, 2009 at 1:07pm.
A turbo-jet flies 50 mph faster than a super-prop plane. If a turbo-jet goes 2000 miles in 3 hours less time than it takes the super-prop to go 2800 miles, find the speed of each plane.
I do not understand how to do this at all. Please explain as well a... | 4 | [
-0.029052734375,
0.045654296875,
-0.0206298828125,
0.000850677490234375,
-0.01422119140625,
0.053466796875,
-0.076171875,
0.040283203125,
-0.0888671875,
0.023193359375,
0.07958984375,
0.02490234375,
0.0054931640625,
0.018310546875,
-0.0242919921875,
0.06005859375,
-0.01116943359375,
... | 491 | 491 | |
SparkNotes: SAT Physics: Work
7.1 Work 7.5 Key Formulas
7.2 Energy 7.6 Practice Questions
7.3 Forms of Energy 7.7 Explanations
7.4 Power
Work
When we are told that a person pushes on an object with a certain force, we only know how hard the person pushes: we don’t know what the pushing accom... | 4 | [
-0.0145263671875,
-0.041015625,
0.025390625,
0.041259765625,
-0.03125,
-0.031494140625,
0.018310546875,
-0.0361328125,
0.08984375,
0.10546875,
-0.031494140625,
0.04296875,
-0.05224609375,
0.0986328125,
-0.05712890625,
-0.01007080078125,
-0.0118408203125,
0.0546875,
-0.05249023437... | 492 | 492 | |
Homework Help
Posted by Anonymous on Thursday, April 5, 2012 at 10:01am.
find the average value of the function
f(x,y)=xe^y
over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
• calculus - Steve, Thursday, April 5, 2012 at 2:29pm
average value is volume/base area
one boundary of... | 5 | [
0.0546875,
0.0172119140625,
0.048095703125,
-0.039794921875,
0.0009918212890625,
-0.07275390625,
0.0128173828125,
0.109375,
-0.038818359375,
0.05322265625,
-0.00390625,
-0.045166015625,
0.0152587890625,
0.0546875,
-0.022705078125,
-0.0255126953125,
-0.109375,
-0.126953125,
-0.043... | 493 | 493 | |
mean
June 26th 2010, 01:28 AM
furor celtica
mean
the price of a CD is denoted by $x. for 60 CDs bought in different stores it is found that sigma(x-12) = 53.40. Calculate the mean price of these CDs. The mean price of a further 40 CDs is found
to be $11.64. Find the mean price of the 100 CDs.
The first ... | 4 | [
0.0023193359375,
0.099609375,
0.01708984375,
-0.03125,
-0.0791015625,
-0.00107574462890625,
0.056396484375,
0.1005859375,
-0.0262451171875,
0.028076171875,
0.0908203125,
-0.01361083984375,
0.0576171875,
-0.044921875,
-0.01611328125,
0.005615234375,
-0.08447265625,
-0.00665283203125... | 494 | 494 | |
Homework Help
Posted by shawn on Sunday, November 29, 2009 at 12:38pm.
A rectangular box with a square base and top is to be made to contain 1250 cubic feet. The material for the base costs 35 cents per square foot, for the top 15 cents per square foot, and for the
sides 20 cents per square foot. Find the dimensions t... | 4 | [
0.04833984375,
0.07568359375,
0.01434326171875,
0.0137939453125,
0.01611328125,
-0.05712890625,
-0.001312255859375,
0.054931640625,
-0.076171875,
0.035888671875,
-0.09375,
-0.022705078125,
0.06591796875,
0.0703125,
-0.052490234375,
0.058837890625,
-0.0303955078125,
0.08544921875,
... | 495 | 495 | |
RE: st: Generating a logistically distributed random variable.
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
RE: st: Generating a logistically distributed random variable.
From "David M. Drukker, Stata Corp" <ddrukker@stata.com>
To statalist@hsphsun2.harvard.edu
Subject RE: st: G... | 5 | [
-0.060302734375,
0.0004787445068359375,
-0.0380859375,
0.046875,
0.01531982421875,
-0.09130859375,
-0.00122833251953125,
-0.02099609375,
-0.0003566741943359375,
0.1123046875,
0.06787109375,
-0.014404296875,
0.043212890625,
0.00049591064453125,
-0.03564453125,
-0.09326171875,
0.032226... | 496 | 496 | |
Mplus Discussion >> Threshold for multilevel simulation
Message/Author
Jenny Chang posted on Friday, July 02, 2010 - 8:47 am
Hi there! Iam trying to simulate a multilevel latent class model, in which latent class prosibilities vary across L2 latent class.
I can calculate the threshold of conditional prosibility correct... | 4 | [
0.0174560546875,
-0.107421875,
-0.008544921875,
-0.035400390625,
0.107421875,
0.0247802734375,
-0.006927490234375,
0.0693359375,
-0.07275390625,
-0.01177978515625,
0.09521484375,
-0.10546875,
0.04638671875,
-0.021484375,
0.0299072265625,
0.035400390625,
-0.01025390625,
-0.053710937... | 497 | 497 | |
Homework Help
Posted by akela on Tuesday, December 18, 2012 at 12:27am.
find the volume of the solid generated by revolving the region about the given line. the region in the first quadrant bound above by the line y=1, below by the curve y=√(sin5x) ,and on the left by
the y-axis, above the line y=-1
• calculus - dr... | 5 | [
-0.09033203125,
0.034912109375,
0.08203125,
-0.048095703125,
0.009033203125,
0.00604248046875,
-0.048583984375,
0.03369140625,
-0.004302978515625,
-0.030517578125,
-0.02099609375,
0.06298828125,
0.0228271484375,
0.041015625,
-0.07080078125,
-0.025390625,
-0.01092529296875,
-0.03881... | 498 | 498 | |
Homework Help
Posted by Heather on Saturday, February 13, 2010 at 2:30pm.
A customer purchased a car and financed $16,000. The customer borrowed part of the money from a bank charging 10% annual interest and the rest from a credit union at 8% annual interest. If the total
interest for the year was $1,390 how much was ... | 4 | [
0.017333984375,
0.0908203125,
-0.0067138671875,
-0.033935546875,
0.006439208984375,
0.01080322265625,
0.030517578125,
0.042236328125,
-0.0576171875,
0.00775146484375,
0.051025390625,
0.0014801025390625,
0.07177734375,
0.0751953125,
0.00133514404296875,
0.080078125,
-0.030517578125,
... | 499 | 499 |