content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Forces and Safety Factors
Name: Barry C.
Status: educator
Age: 40s
Location: N/A
Country: N/A
Date: 5/24/2004
Question: I am having trouble with a concept related to gravity, speed of acceleration ... | 4 | [
-0.0245361328125,
-0.017333984375,
0.0166015625,
0.031982421875,
0.041015625,
0.09033203125,
-0.00714111328125,
0.06005859375,
-0.0380859375,
0.08056640625,
0.056884765625,
-0.06982421875,
-0.0191650390625,
0.037353515625,
-0.08447265625,
0.0081787109375,
0.03759765625,
0.080078125... | 14,200 | 14200 | |
multiplicity of a curve on a surface
up vote 0 down vote favorite
This comes as a question in Beauville's surfaces book (Chap2.20.(2)).
Let $C$ be an irreducible curve on a surface $S$, $p\in C$ and $C^{'}$ the strict transform of $C$ on the blow-up with center $p$.
The question is:
1) $\sum m_x(C^')\le\sum m_x(C^'... | 5 | [
-0.0194091796875,
-0.003204345703125,
0.04052734375,
-0.0021514892578125,
0.051025390625,
0.031494140625,
0.09228515625,
0.1728515625,
-0.006805419921875,
-0.045654296875,
0.0030975341796875,
-0.037353515625,
0.01324462890625,
-0.00005888938903808594,
-0.0439453125,
-0.0167236328125,
... | 14,201 | 14201 | |
Trick
There are so many calculations to be performed and whats to be done when we don't have a calculator. Beta-Theta brings to you an assorted collection of useful Tricks that will surely help you
increase your problem solving speed. Some of the tricks below are a little tough so please pay extra attention while readi... | 4 | [
-0.06201171875,
0.05712890625,
-0.01708984375,
-0.080078125,
-0.0245361328125,
-0.0223388671875,
-0.011962890625,
0.006622314453125,
-0.00104522705078125,
0.00171661376953125,
0.02490234375,
0.0203857421875,
-0.006011962890625,
-0.000469207763671875,
-0.03173828125,
0.0203857421875,
... | 14,202 | 14202 | |
[ODE] More speed???
Nguyen Binh ngbinh at glassegg.com
Wed Nov 5 17:21:40 MST 2003
Hi Aras,
AP> Is the system actually Ax=b? Isn't it something like inequalities system
(like Ax>>b)? I don't know the underlying math, of course, so I may be
AP> completely wrong :)
The "system" is LCP A*x = b+w with certain condi... | 4 | [
-0.06982421875,
-0.0220947265625,
-0.047607421875,
-0.06298828125,
0.035400390625,
0.0380859375,
-0.0296630859375,
-0.03369140625,
-0.06689453125,
0.0291748046875,
0.0198974609375,
0.01495361328125,
0.06787109375,
-0.03955078125,
-0.0016937255859375,
0.109375,
-0.0400390625,
-0.021... | 14,203 | 14203 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
The NRICH problems are organised into Stages (Tin Tight is a Stage 4 problem), and the solutions selected are those that use the repertoire of mathematical knowledge at that level.
Tin Tight would be a straightforward problem at Stage 5 where a ... | 5 | [
-0.004791259765625,
0.0693359375,
0.047119140625,
-0.0091552734375,
-0.060546875,
-0.04833984375,
-0.0419921875,
0.1005859375,
-0.08740234375,
0.032470703125,
-0.09033203125,
-0.08544921875,
0.0166015625,
0.1298828125,
0.01458740234375,
-0.041748046875,
-0.00762939453125,
0.0119628... | 14,204 | 14204 | |
Bessel's Equation
Copyright © University of Cambridge. All rights reserved.
'Bessel's Equation' printed from http://nrich.maths.org/
Consider the following differential equation (called a Bessel equation )
$$t\frac{d^2 y}{dt^2}+\frac{dy}{dt}+ty=0$$
Solving this equation exactly requires university-level techniques. W... | 4 | [
-0.1005859375,
-0.012451171875,
0.1396484375,
0.0732421875,
-0.01177978515625,
-0.0302734375,
-0.06787109375,
0.0498046875,
0.053466796875,
0.0771484375,
0.01348876953125,
0.04541015625,
-0.037353515625,
0.052490234375,
-0.005645751953125,
0.005950927734375,
0.0517578125,
0.0190429... | 14,205 | 14205 | |
Math Forum Discussions - Re: How to simplify an expression ...
Date: Oct 3, 2012 1:12 PM
Author: Dave L. Renfro
Subject: Re: How to simplify an expression ...
Peter Duveen wrote (in part):
http://mathforum.org/kb/message.jspa?messageID=7900080
> I get something a bit different.
>
> I bring the r^2 up to the top, whe... | 4 | [
-0.05859375,
0.046142578125,
-0.0223388671875,
0.10498046875,
0.01318359375,
-0.080078125,
0.0030670166015625,
0.049072265625,
0.0400390625,
-0.00061798095703125,
0.043701171875,
0.0133056640625,
0.0230712890625,
0.140625,
0.060302734375,
0.05615234375,
-0.08349609375,
0.0197753906... | 14,206 | 14206 | |
Smallest Value of N!; Factorial Table
Associated Topics || Dr. Math Home || Search Dr. Math
Smallest Value of N!; Factorial Table
... | 4 | [
0.038818359375,
-0.0478515625,
-0.07763671875,
-0.033935546875,
-0.07177734375,
0.04443359375,
0.0179443359375,
0.01019287109375,
-0.0274658203125,
0.06396484375,
-0.033203125,
-0.07177734375,
-0.0220947265625,
-0.044921875,
-0.00238037109375,
-0.008544921875,
-0.02197265625,
0.051... | 14,207 | 14207 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: the math in classify.m
Replies: 7 Last Post: Dec 3... | 4 | [
-0.0140380859375,
-0.0380859375,
0.034912109375,
-0.11328125,
0.0155029296875,
0.040283203125,
0.00872802734375,
0.0247802734375,
-0.0703125,
0.01275634765625,
0.0771484375,
0.0059814453125,
0.032958984375,
-0.0390625,
-0.0206298828125,
0.06689453125,
0.024658203125,
0.03271484375,... | 14,208 | 14208 | |
Symbolic calculations
Command disabled: backlink
Table of Contents
Symbolic calculations
Including symbolic calculations in Jython/Java code, mixing numerical and symbolic calculations is very easy in SCaVis
There are several ways to use SCaVis for symbolic calculations.
• using Java libraries for symbolic calcu... | 5 | [
-0.056884765625,
-0.01007080078125,
-0.09716796875,
-0.04443359375,
-0.036376953125,
-0.037353515625,
-0.09228515625,
0.08837890625,
-0.08935546875,
0.0101318359375,
-0.0242919921875,
-0.023681640625,
0.036376953125,
-0.00592041015625,
0.030517578125,
-0.0189208984375,
-0.05810546875... | 14,209 | 14209 | |
AP Physics Resources
“This time, like all times, is a very good one if we but know what to do with it”
– Ralph Waldo Emerson
You can find many questions (with solution, of course) on Newton’s laws of motion, posted on this site on various occasions. I give below a few more multiple choice questions (single correct o... | 4 | [
-0.0380859375,
-0.01312255859375,
0.0625,
-0.038330078125,
-0.017578125,
0.055419921875,
-0.005126953125,
0.095703125,
-0.00135040283203125,
0.1328125,
-0.005462646484375,
-0.0458984375,
-0.05224609375,
0.06005859375,
-0.0673828125,
0.041259765625,
-0.00041961669921875,
0.050048828... | 14,210 | 14210 | |
congruence
Context
Relations
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Congruences
Definitions
Definition
In a finitely complete category $C$, a congruence on an object $X$ is an internal equivalence relation on $X$.
This means that it consists of a subobject $R\stack... | 4 | [
-0.0240478515625,
-0.08056640625,
-0.005035400390625,
-0.0966796875,
-0.02294921875,
-0.0201416015625,
0.007476806640625,
0.0537109375,
0.033447265625,
0.0024261474609375,
0.0164794921875,
-0.057373046875,
0.005035400390625,
0.07763671875,
0.11669921875,
-0.004730224609375,
0.0191650... | 14,211 | 14211 | |
Joint iterative beamforming and power adaptation for MIMO ad hoc networks
Abstract
In this paper, we present distributed cooperative and regret-matching-based learning schemes for joint transmit power and beamforming selection for multiple antenna wireless ad hoc networks operating
in a multi-user interference environ... | 4 | [
-0.038818359375,
0.031494140625,
-0.01470947265625,
0.04248046875,
0.031494140625,
-0.059326171875,
0.0281982421875,
-0.0106201171875,
-0.006439208984375,
-0.01226806640625,
-0.056640625,
0.1376953125,
0.05126953125,
-0.0224609375,
-0.02197265625,
0.040283203125,
0.041748046875,
0.... | 14,212 | 14212 | |
From calculation of $H^\bullet(K(\pi;n))$ to explicit construction of operations
up vote 5 down vote favorite
(Unstable) cohomological operations are in bijection with cohomology classes of Eilenberg–MacLane spaces. Rings $H^\bullet(K(\mathbb Z;n);\mathbb Z)$ can be computed step by step by considering
spectral sequen... | 4 | [
-0.10009765625,
0.1064453125,
-0.033935546875,
-0.031005859375,
-0.0771484375,
0.017333984375,
0.0233154296875,
-0.056396484375,
0.0177001953125,
-0.027587890625,
0.010498046875,
-0.040771484375,
-0.048828125,
-0.07763671875,
0.01153564453125,
-0.0181884765625,
-0.04296875,
0.06127... | 14,213 | 14213 | |
A002372 - OEIS
A002372 Goldbach conjecture: number of decompositions of 2n into ordered sums of two odd primes. 38
(Formerly M0421 N0161)
0, 0, 1, 2, 3, 2, 3, 4, 4, 4, 5, 6, 5, 4, 6, 4, 7, 8, 3, 6, 8, 6, 7, 10, 8, 6, 10, 6, 7, 12, 5, 10, 12, 4, 10, 12, 9, 10, 14, 8, 9, 16, 9, 8, 18, 8, 9, 14, 6, 12, 16, 10... | 5 | [
-0.09912109375,
-0.050537109375,
-0.005828857421875,
0.0238037109375,
0.06689453125,
-0.005859375,
0.0194091796875,
0.1171875,
-0.07421875,
0.0159912109375,
-0.052978515625,
0.07080078125,
-0.0184326171875,
-0.044189453125,
-0.07177734375,
-0.019287109375,
0.01422119140625,
-0.0708... | 14,214 | 14214 | |
omplex number
Complex number
The
complex numbers
are an extension of the
real numbers
, in which all non-constant
polynomials
have
roots
. The complex numbers contain a number
i
, the
imaginary unit
, with
i^2
= −1, i.e.,
i
is a
square root
of −1. Every complex number can be represented in the form
... | 4 | [
-0.10791015625,
0.052490234375,
-0.07470703125,
0.07666015625,
-0.134765625,
-0.10302734375,
0.01953125,
0.050537109375,
0.11962890625,
-0.08203125,
0.07470703125,
0.08251953125,
0.020263671875,
0.0654296875,
-0.038330078125,
-0.056640625,
-0.042236328125,
0.03759765625,
-0.02795... | 14,215 | 14215 | |
Primes in a (commutative) Jacobson ring
up vote 7 down vote favorite
4
Recall that a commutative ring is Jacobson if every prime ideal is the intersection of the maximal ideals that contain it.
In the exercises of a commutative algebra course I gave I asked the students to show that a commutative ring is Jacobson if ... | 5 | [
-0.0294189453125,
0.009765625,
-0.040283203125,
-0.028564453125,
0.030029296875,
-0.10546875,
0.0234375,
0.0225830078125,
-0.01544189453125,
-0.0081787109375,
-0.0576171875,
0.06201171875,
0.042724609375,
0.0159912109375,
-0.01177978515625,
0.00140380859375,
0.07470703125,
0.070800... | 14,216 | 14216 | |
directional derivatives
October 21st 2009, 09:13 PM
zpwnchen
directional derivatives
Suppose that you are climbing a hill whose shape is given by http://webwork.asu.edu/webwork2_file...719c509491.png, and that you are at the point (90, 40, 300).
1) In which direction (unit vector) should you proceed initiall... | 5 | [
-0.01092529296875,
0.0322265625,
-0.0196533203125,
-0.0908203125,
-0.0120849609375,
-0.017822265625,
-0.049560546875,
0.1123046875,
-0.028564453125,
0.042724609375,
0.06298828125,
0.03271484375,
0.039794921875,
0.06494140625,
0.0019683837890625,
0.06982421875,
-0.03564453125,
-0.00... | 14,217 | 14217 | |
Magnetic moment due to applied external magnetic field
1. The problem statement, all variables and given/known data
How large externally applied magnetic filed ([itex]B_{0}[/itex]) is necessary in otder for 51% of the metal ions in CuSO([itex]_{4}[/itex]) to have their magnetic moments oriented in the same
direction a... | 4 | [
-0.035888671875,
0.0230712890625,
0.04052734375,
-0.09228515625,
0.0164794921875,
0.038818359375,
0.09375,
0.0017242431640625,
-0.0140380859375,
0.00457763671875,
0.038330078125,
-0.07861328125,
0.08203125,
-0.0390625,
0.0233154296875,
0.043701171875,
-0.018310546875,
0.01599121093... | 14,218 | 14218 | |
Entropy of an adiabatic process
For part a I am unsure of how to find entropy of an adiabatic system expanding reversibly...my ideas:
[tex]\Delta[/tex]S = 0 [tex]\Delta[/tex]S_sys = C_p*ln(T_2/T_1) = 5.76 J/k mol, and therefore [tex]\Delta[/tex]S_tot = 5.76 J/k mol but this seems like an unreasonable answer.
Start wit... | 4 | [
-0.04345703125,
-0.017333984375,
0.031005859375,
-0.0166015625,
-0.0185546875,
-0.0101318359375,
0.0400390625,
0.006378173828125,
0.0546875,
0.0240478515625,
-0.0703125,
-0.015625,
0.0244140625,
-0.0262451171875,
0.018310546875,
-0.0230712890625,
0.01007080078125,
-0.00570678710937... | 14,219 | 14219 | |
The Inconsistency of the Retarded Field Concept for Static Forces
The velocity of light is generally accepted as constituting the ultimate velocity by which 'information' can travel. Severe consequences arise from the uncritical generalization of the invariance
properties for the expansion of light signals to other phy... | 4 | [
-0.003265380859375,
-0.04638671875,
0.0034942626953125,
0.0537109375,
-0.01043701171875,
0.0537109375,
0.0003833770751953125,
0.007781982421875,
0.0257568359375,
0.03857421875,
0.109375,
0.06005859375,
-0.03955078125,
-0.018310546875,
-0.07763671875,
-0.03955078125,
0.07470703125,
... | 14,220 | 14220 | |
lling
Question
Do falling objects drop at the same rate (for instance a pen and a bowling ball dropped from the same height) or do they drop at different rates? I know a feather floats down very slowly but I would
think a heavy object would fall faster than a light object. Thanks for your help. I have a bet on this on... | 5 | [
0.037841796875,
-0.028076171875,
0.0235595703125,
0.0289306640625,
0.041259765625,
-0.005462646484375,
-0.029541015625,
0.01190185546875,
0.06494140625,
0.02587890625,
0.0034332275390625,
0.035400390625,
-0.041748046875,
0.083984375,
0.04736328125,
-0.02734375,
-0.008544921875,
0.0... | 14,221 | 14221 | |
quadratic problem
February 26th 2009, 01:14 AM #1
Member
Joined
Feb 2009
Posts
81
quadratic problem
$x^2 - 14x + a = (x + b)^2$
for all values of x, ive been asked to find the value of a and the value of b
im not sure, but i think the solution to this may lie in 'completing the square'.
$(... | 4 | [
-0.02587890625,
0.041259765625,
0.0283203125,
0.06591796875,
-0.023193359375,
0.08837890625,
-0.0269775390625,
0.0634765625,
0.01318359375,
-0.111328125,
0.06005859375,
-0.011474609375,
0.0191650390625,
0.0255126953125,
-0.01080322265625,
0.058837890625,
-0.00823974609375,
-0.05615... | 14,222 | 14222 | |
Examples
29.6 Examples
The following example program computes Chebyshev approximations to a step function. This is an extremely difficult approximation to make, due to the discontinuity, and was chosen as an example where
approximation error is visible. For smooth functions the Chebyshev approximation converges extre... | 5 | [
-0.1181640625,
0.0001087188720703125,
0.0009918212890625,
-0.004150390625,
0.01495361328125,
-0.10400390625,
-0.0181884765625,
0.10107421875,
-0.004852294921875,
-0.002593994140625,
-0.00823974609375,
-0.0091552734375,
0.02294921875,
-0.11572265625,
-0.037841796875,
-0.130859375,
-0.... | 14,223 | 14223 | |
Cyclotomic Fields....
May 5th 2009, 11:34 AM #1
Junior Member
Joined
Mar 2009
Posts
36
Cyclotomic Fields....
Hi guys!
Does Q(Zeta) = Q(Zeta_12), where Zeta is ANY 12th roots of unity & Zeta_12 = cos(2pi/12)+isin(2pi/12).
In fact, does the general case where we have n instead of 12 hold?
I ... | 5 | [
-0.0262451171875,
0.08154296875,
0.0546875,
0.01220703125,
-0.06640625,
0.030517578125,
0.01544189453125,
0.03125,
0.033447265625,
-0.0830078125,
0.004547119140625,
0.033203125,
0.0205078125,
-0.040283203125,
-0.046142578125,
-0.0245361328125,
-0.0194091796875,
0.01544189453125,
... | 14,224 | 14224 | |
E(X) and Var(X)
October 31st 2006, 09:27 AM #1
E(X) and Var(X)
1. The random variable X has pdf fX(x) = x^−4for x > 1, and 0, otherwise.
(a) Compute E(X) and Var(X).
(b) Let Y =√X. Compute E(Y ) and Var(Y ).
(c) Let W = 2X + 5. Compute E(W) and Var(W).
By the way, how do I get the Math symbols to... | 5 | [
0.0712890625,
-0.07275390625,
0.029541015625,
0.052490234375,
-0.0233154296875,
0.01220703125,
0.09228515625,
-0.01226806640625,
0.039794921875,
0.005584716796875,
0.01904296875,
0.020263671875,
0.036865234375,
0.0615234375,
-0.031982421875,
0.06689453125,
-0.07275390625,
-0.069824... | 14,225 | 14225 | |
Probability
December 3rd 2009, 11:44 AM #1
Senior Member
Joined
Feb 2008
Posts
383
Probability
A four digit number is to be made by choosing four different digits from the set {1,2,3,4,5,6,7}. Find the probability that the no. is even and greater than 6000.
Hello, BabyMilo
A 4-digit number is t... | 4 | [
-0.000911712646484375,
-0.0157470703125,
-0.0189208984375,
-0.033935546875,
-0.044189453125,
0.087890625,
0.07275390625,
0.06591796875,
-0.051513671875,
0.0732421875,
-0.00946044921875,
0.006378173828125,
0.044921875,
0.001007080078125,
-0.0228271484375,
0.01708984375,
-0.0546875,
... | 14,226 | 14226 | |
Balls in a bag
March 3rd 2011, 11:09 AM #1
Junior Member
Joined
Apr 2010
Posts
60
Balls in a bag
There are 10 red balls, 10 green balls and 6 white balls.
Two balls picked at random - what is the probability that they are of different colors?
so probability of the first ball is 1/26 (if i'm righ... | 4 | [
0.0361328125,
0.035400390625,
0.00567626953125,
-0.01397705078125,
0.047607421875,
0.0203857421875,
0.10498046875,
0.004852294921875,
0.0279541015625,
-0.00677490234375,
0.01513671875,
-0.0172119140625,
0.0947265625,
0.00897216796875,
0.08740234375,
0.0830078125,
-0.0576171875,
-0.... | 14,227 | 14227 | |
Derivative of kinetic energy
If you're not familiar with calculus a "real" derivation is difficult, in this case what you've just done (while correct) is of little use at all;
I'll outline the more traditional approach, if you've not covered integration i'm afraid you might struggle, the use of the [tex]\int ^{x1}_{x2... | 5 | [
0.0031585693359375,
-0.022705078125,
0.041259765625,
-0.0240478515625,
0.0299072265625,
-0.0703125,
-0.00970458984375,
0.052978515625,
-0.0242919921875,
0.034912109375,
0.01483154296875,
0.0223388671875,
-0.004119873046875,
0.023193359375,
0.0172119140625,
0.06982421875,
0.0152587890... | 14,228 | 14228 | |
pascal terms
October 11th 2010, 11:35 PM #1
pascal terms
ok so i'm using the notation (n r) for a pascal term
state numbers a, b and c such that
a*(8 5)=b*(8 6)=c*(7 5)
i thought this should be easy: i made three separate equation and developed the pascal terms into factorials like (8 5) = 8!/5!*3! ... | 4 | [
-0.0206298828125,
-0.00506591796875,
-0.035888671875,
0.04150390625,
-0.08349609375,
0.08251953125,
-0.00762939453125,
0.01043701171875,
-0.072265625,
0.06982421875,
-0.056884765625,
-0.1015625,
-0.0201416015625,
0.0262451171875,
0.0245361328125,
0.08740234375,
-0.058837890625,
0.0... | 14,229 | 14229 | |
Galilean vs Lorentz transformation equations
Mentz114
Eh ?
What are you trying to say in this post ?
I am trying to compare or contrast the result, under the same conditions, applying the Galilean and the Lorentz transformation equations. In the following post are my findings, as I understand them.
In this post I h... | 5 | [
-0.0556640625,
-0.042236328125,
-0.048583984375,
-0.048583984375,
-0.0002155303955078125,
0.022705078125,
0.00238037109375,
0.0262451171875,
0.023193359375,
-0.0625,
0.10693359375,
0.0263671875,
0.0123291015625,
-0.004791259765625,
-0.037353515625,
-0.06689453125,
-0.004974365234375,... | 14,230 | 14230 | |
Physics Forums - View Single Post - Bayes formula and picking variance from distribution
If you have two continuous random variables (for example), X and Y, with joint pdf [itex]\rho_{X,Y}(x,y)[/itex], this can be written in terms of the conditional distribution [itex]\rho_{X|Y}(x|y)[/
itex] or [itex]\rho_{Y|X}(y|x)[/... | 4 | [
-0.0024261474609375,
-0.059326171875,
0.08544921875,
-0.0166015625,
0.0198974609375,
0.04443359375,
-0.00994873046875,
-0.0140380859375,
-0.021240234375,
-0.07421875,
0.043212890625,
-0.0025787353515625,
0.046875,
0.0625,
0.0123291015625,
0.003936767578125,
0.04833984375,
0.0086059... | 14,231 | 14231 | |
Single particle with conservative force
June 24th 2009, 10:03 PM #1
Junior Member
Joined
Jun 2009
Posts
25
Single particle with conservative force
A particle of mass 1 moves under the influence of a conservative force such that its potential energy function V (x) = 0.25 x^4 -0.5 x^2 + 0.25
(a) Descr... | 4 | [
0.01202392578125,
-0.008056640625,
0.031494140625,
0.017333984375,
0.0225830078125,
0.046142578125,
0.00848388671875,
-0.017822265625,
0.0093994140625,
0.0322265625,
0.11669921875,
-0.0264892578125,
-0.007049560546875,
-0.033935546875,
0.004730224609375,
0.0128173828125,
0.0395507812... | 14,232 | 14232 | |
The average of A and B is 2.5...
March 17th 2007, 11:06 AM #1
Member
Joined
Sep 2006
Posts
75
The average of A and B is 2.5...
The average of A and B is 2.5, the average of B and C is 3.8, and the average of A and C is 3.1. Fin A, B, and C.
if the average of A and B is 2.5, then
(A + B)/2 = 2.5... | 4 | [
-0.01544189453125,
0.001617431640625,
0.034423828125,
0.052490234375,
-0.07666015625,
0.0267333984375,
-0.0286865234375,
0.0272216796875,
0.01611328125,
0.01397705078125,
-0.040771484375,
-0.0908203125,
0.0120849609375,
0.00616455078125,
-0.007354736328125,
0.043212890625,
-0.1455078... | 14,233 | 14233 | |
Gamma 5 matrix
In general D dimensions you can always define a gamma 5:
[itex]\Gamma = i^{a} \gamma_{0} \gamma_{1} ... \gamma_{D-1} [/itex]
So far I've proven that [itex]\Gamma[/itex] anticommutes with [itex]\gamma^{M}[/itex] if D=even and commutes if D=odd... In the case of D=odd, because it commutes with all the ga... | 4 | [
-0.0390625,
-0.005706787109375,
0.033447265625,
-0.035400390625,
-0.0439453125,
0.061767578125,
0.07373046875,
0.00250244140625,
-0.0400390625,
-0.031982421875,
0.06396484375,
0.0294189453125,
0.0223388671875,
0.03271484375,
-0.040771484375,
0.034912109375,
0.047607421875,
0.042480... | 14,234 | 14234 | |
Patent US6199088 - Circuit for determining multiplicative inverses in certain galois fields
FIELD OF INVENTION
This invention relates to data error correction systems, and in particular to Galois Field division operations performed by the systems.
BACKGROUND OF THE INVENTION
The importance of error correction coding... | 4 | [
-0.0703125,
0.03564453125,
-0.044677734375,
-0.021484375,
-0.0625,
-0.0693359375,
-0.005218505859375,
0.0625,
0.06640625,
0.000278472900390625,
0.06201171875,
0.0791015625,
0.11181640625,
-0.09765625,
-0.11767578125,
-0.0235595703125,
-0.07275390625,
0.0947265625,
-0.053955078125... | 14,235 | 14235 | |
Probability
Hi I've got a problem with a question Attachment 1736 Thanks for all your help
Hello, mauro21! Quote: Suppose there was a cancer diagnostic test that was 95% accurate both on those that do and those that do not have the disease. If 4% of the population have cancer, compute the
probability that a tested per... | 5 | [
0.041748046875,
0.11767578125,
0.0093994140625,
0.01611328125,
-0.034423828125,
-0.05517578125,
0.134765625,
0.111328125,
0.02880859375,
0.0093994140625,
0.09619140625,
-0.08154296875,
0.01336669921875,
0.0673828125,
-0.076171875,
0.0196533203125,
-0.0419921875,
0.0220947265625,
... | 14,236 | 14236 | |
1st and 2nd Derivative tests
bloodredorioo
1. The problem statement, all variables and given/known data
This question is asking me to find the local max and min values of f using both the 1st and 2nd derivative tests. Then it asks me which method I prefer.
f(x)= x+ sqrt(1-x)
2. Relevant equations
I don't have a pr... | 4 | [
-0.000972747802734375,
-0.05859375,
0.00445556640625,
-0.0224609375,
-0.033935546875,
-0.054931640625,
-0.043701171875,
0.08642578125,
0.0213623046875,
0.058837890625,
0.017578125,
0.0011444091796875,
0.06494140625,
0.049560546875,
-0.00836181640625,
0.006805419921875,
0.011047363281... | 14,237 | 14237 | |
probability distribution
November 13th 2008, 02:11 AM #1
MHF Contributor
Joined
Sep 2008
From
West Malaysia
Posts
1,261
probability distribution
A crossword puzzle is published in a newspaper daily . Farah could complete , at average , 3 out of 5 crossword puzzles . Find the probability that in 4 cer... | 4 | [
0.043212890625,
-0.0498046875,
0.017578125,
-0.06689453125,
-0.01080322265625,
-0.00154876708984375,
-0.0064697265625,
-0.0703125,
-0.1279296875,
0.052490234375,
0.0103759765625,
-0.10302734375,
-0.031982421875,
0.009033203125,
0.0167236328125,
0.0439453125,
-0.0224609375,
-0.00701... | 14,238 | 14238 | |
Which is bigger: π^e or e^π? Prove it.
We know that $\pi eq e$. Let us conjecture that ${\pi}^e < e^{\pi}$. This means that $\ln{({\pi}^e)} < \ln{(e^{\pi})}$, that is, $e \times \ln{(\pi)} < \pi$. Therefore, if our conjecture is true, we
must have $e < \frac{\pi}{\ln{(\pi)}}$. Let us consider the function $f(x) = \frac... | 5 | [
0.0159912109375,
0.00262451171875,
0.033447265625,
0.013916015625,
-0.01300048828125,
0.02587890625,
0.01409912109375,
0.10546875,
0.078125,
0.068359375,
-0.00823974609375,
0.00689697265625,
0.06640625,
0.018310546875,
0.052001953125,
-0.060546875,
-0.000012159347534179688,
-0.0439... | 14,239 | 14239 | |
Newtonian force as a covariant or contravariant quantity
While searching for information relative to this thread, I stumbled across
this
on Google Books (Richard A Mould,
Basic Relativity
, p.258). It claims that, under some circumstances, "covariant energy" (time component of covariant 4-momentum) is globally cons... | 4 | [
-0.01019287109375,
-0.02783203125,
0.031494140625,
0.010009765625,
0.01904296875,
0.0245361328125,
-0.002532958984375,
-0.0147705078125,
0.0262451171875,
0.019287109375,
-0.0020904541015625,
0.046875,
-0.07080078125,
0.0263671875,
-0.00439453125,
0.048583984375,
0.0181884765625,
0.... | 14,240 | 14240 | |
Reduction of nonlinear phase noise using optical phase conjugation
« journal navigation
Reduction of nonlinear phase noise using optical phase conjugation in quasi-linear optical transmission systems
Optics Express, Vol. 15, Issue 5, pp. 2166-2177 (2007)
http://dx.doi.org/10.1364/OE.15.002166
Abstract
An analytical... | 4 | [
-0.0224609375,
-0.02197265625,
0.09765625,
0.01348876953125,
-0.064453125,
-0.10986328125,
0.057373046875,
-0.0771484375,
0.06982421875,
0.0556640625,
-0.0054931640625,
0.091796875,
0.010498046875,
-0.12255859375,
0.019775390625,
0.039794921875,
0.033935546875,
0.0216064453125,
0... | 14,241 | 14241 | |
Method for controlling the quality of industrial processes, in particular laser-welding processes - Patent # 7728254 - PatentGenius
Method for controlling the quality of industrial processes, in particular laser-welding processes
7728254 Method for controlling the quality of industrial processes, in particu... | 4 | [
-0.125,
-0.000949859619140625,
-0.017822265625,
-0.041748046875,
-0.1005859375,
-0.0252685546875,
0.051513671875,
0.1357421875,
-0.030029296875,
0.0208740234375,
-0.041259765625,
0.11279296875,
-0.00008440017700195312,
0.02685546875,
-0.177734375,
0.00543212890625,
0.003509521484375,... | 14,242 | 14242 | |
trigonometry Addition Formulae (v)
January 7th 2007, 07:30 AM #1
Member
Joined
Jan 2007
Posts
162
trigonometry Addition Formulae (v)
The diagram shows a kite whose leading diagonal forms the diameter of a circle. Find the exact value of sin XOY
What I want to know is, do I need to find the diam... | 4 | [
-0.052978515625,
0.091796875,
-0.06787109375,
-0.01904296875,
0.0024871826171875,
-0.042236328125,
-0.01385498046875,
0.06982421875,
-0.0205078125,
-0.0157470703125,
0.11962890625,
-0.03125,
-0.033935546875,
0.08056640625,
0.0205078125,
0.054443359375,
-0.0546875,
0.003570556640625... | 14,243 | 14243 | |
Locus question.
May 15th 2010, 05:35 AM
sandy
Locus question.
how abot this question:
The locus of points the sum of whose distances from the points (1,0) and (-1,0) equals 2.
What is the locus of points and how is the distance?
May 15th 2010, 03:06 PM
mr fantastic
Do the obvious thing and st... | 4 | [
-0.033935546875,
0.00022983551025390625,
-0.01287841796875,
-0.033447265625,
-0.0255126953125,
-0.026123046875,
0.058349609375,
0.0087890625,
-0.01416015625,
-0.006988525390625,
0.09326171875,
-0.018310546875,
0.004180908203125,
0.038818359375,
-0.03955078125,
0.038330078125,
0.02050... | 14,244 | 14244 | |
Integration...can anyone help me pls
October 11th 2009, 09:21 AM #1
Newbie
Joined
May 2009
Posts
15
Integration...can anyone help me pls
Hi. I m finding hard to solve these questions
1.
integration of
(x+1)(x^2 + 2x -5)^(1/2) dx
2. integration of
x^2 / (x+2)^3 dx
3. integrati... | 4 | [
-0.04638671875,
-0.024169921875,
0.0654296875,
0.05078125,
0.056640625,
0.0218505859375,
-0.0186767578125,
-0.06591796875,
-0.01806640625,
0.00010538101196289062,
0.09130859375,
-0.0625,
-0.0308837890625,
-0.011474609375,
-0.03271484375,
-0.0296630859375,
0.012939453125,
0.02014160... | 14,245 | 14245 | |
Patent US5214687 - Method to determine transmission quality
Publication number US5214687 A
Publication type Grant
Application number US 07/711,623
Publication date May 25, 1993
Filing date Jun 5, 1991
Priority date Jun 5, 1991
Fee status Lapsed
Publication number 07711623, 711623, US 5214687 A, ... | 4 | [
-0.1259765625,
0.007049560546875,
-0.0103759765625,
-0.061279296875,
-0.0556640625,
-0.0224609375,
0.00191497802734375,
0.11083984375,
0.0167236328125,
0.0216064453125,
-0.0498046875,
0.095703125,
0.095703125,
-0.0264892578125,
-0.0927734375,
-0.0576171875,
0.10009765625,
-0.009582... | 14,246 | 14246 | |
Euler problems/101 to 110
From HaskellWiki
Investigate the optimum polynomial function to model the first k terms of a given sequence.
Solution:
For how many triangles in the text file does the interior contain the origin?
Solution:
Investigating sets with a special subset sum property.
Solution:
Finding Fibona... | 5 | [
-0.041015625,
0.04052734375,
-0.056640625,
-0.08203125,
-0.044921875,
-0.024169921875,
0.043701171875,
0.0732421875,
-0.0035400390625,
0.0220947265625,
-0.01495361328125,
-0.049560546875,
-0.052490234375,
0.002777099609375,
-0.047119140625,
-0.01361083984375,
-0.04296875,
-0.016479... | 14,247 | 14247 | |
Examples
D.4 Examples
The following program computes the product of two matrices using the Level-3 BLAS function SGEMM,
[ 0.11 0.12 0.13 ] [ 1011 1012 ] [ 367.76 368.12 ]
[ 0.21 0.22 0.23 ] [ 1021 1022 ] = [ 674.06 674.72 ]
[ 1031 1032 ]
The matrices are stored in row major order but cou... | 5 | [
-0.0322265625,
0.00201416015625,
-0.130859375,
-0.0732421875,
-0.060791015625,
-0.064453125,
-0.08544921875,
-0.0213623046875,
-0.01104736328125,
0.012451171875,
0.0245361328125,
0.06298828125,
-0.0179443359375,
-0.068359375,
-0.07177734375,
-0.0079345703125,
-0.087890625,
0.089355... | 14,248 | 14248 | |
Physics Forums - View Single Post - Sum of random number of random variables
E[X] is just a number, so you have to work out the variance of a constant times N. That is standard: Var(kY)=k^2.Var(Y) for k constant and Y an r.v.
Don't forget that Var (Y)= E(Y^2) - E(Y)^2 as well, when you're doing things like this. So i... | 4 | [
0.0859375,
0.022705078125,
0.072265625,
0.0419921875,
-0.0087890625,
0.02587890625,
0.0206298828125,
-0.0634765625,
0.0264892578125,
-0.03271484375,
0.033203125,
0.076171875,
0.01116943359375,
0.0003604888916015625,
0.007659912109375,
-0.037353515625,
-0.00762939453125,
0.002685546... | 14,249 | 14249 | |
Matrix norms, sup,max and headache
September 16th 2010, 02:48 AM #1
Matrix norms, sup,max and headache
Hi,
I am reading (again) about matrix norms and have a few questions.
The definition I have says that given any norm $||*||$ on the space $\mathbb{R}^n$ of $n$-dimensional vectors with real entries, th... | 4 | [
-0.01806640625,
-0.09619140625,
-0.10888671875,
-0.07470703125,
0.038330078125,
0.0028228759765625,
-0.0289306640625,
-0.040771484375,
-0.04833984375,
0.01953125,
0.0400390625,
0.12890625,
0.060302734375,
-0.01446533203125,
-0.03271484375,
0.054443359375,
0.10302734375,
-0.0703125,... | 14,250 | 14250 | |
No idea where to start
stunner5000pt
one thing lurf, you write [tex] \frac{\partial}{\partial t'} [/tex]... what is the variable/function that is being differentiated? and also is it tru that
[tex] (\frac{\partial}{\partial x'})^2 = \frac{\partial^2 u}{\partial x^2} [/tex]
how are you figuring out this for t and t' li... | 5 | [
-0.048583984375,
-0.03173828125,
0.12255859375,
-0.0201416015625,
-0.02197265625,
-0.08349609375,
0.01470947265625,
0.0166015625,
-0.014892578125,
-0.0498046875,
0.09326171875,
0.031982421875,
0.002655029296875,
-0.00634765625,
-0.020263671875,
-0.0142822265625,
-0.062255859375,
0.... | 14,251 | 14251 | |
Econometrics Beat: Dave Giles' Blog
We've all taken, and/or taught, an introductory course in descriptive statistics where we encounter measures of "central tendency", variability, summarizing grouped data, and so on. In such courses
students are usually told about three ways of calculating the mean, or average, of a s... | 5 | [
-0.01708984375,
-0.0439453125,
0.0179443359375,
-0.0264892578125,
-0.01708984375,
-0.023681640625,
-0.046142578125,
0.08837890625,
0.10595703125,
0.045654296875,
-0.0038909912109375,
-0.0260009765625,
0.0517578125,
-0.04833984375,
-0.009521484375,
-0.0211181640625,
-0.01446533203125,... | 14,252 | 14252 | |
Thermodynamic efficiency of solar concentrators
« journal navigation
Thermodynamic efficiency of solar concentrators
Optics Express, Vol. 18, Issue S1, pp. A5-A16 (2010)
http://dx.doi.org/10.1364/OE.18.0000A5
Abstract
The optical thermodynamic efficiency is a comprehensive metric that takes into account all loss me... | 4 | [
-0.00994873046875,
0.0211181640625,
-0.014404296875,
0.0303955078125,
0.0439453125,
-0.07763671875,
0.058349609375,
0.0361328125,
0.05810546875,
0.04150390625,
-0.060791015625,
-0.0068359375,
0.08251953125,
-0.01806640625,
0.06591796875,
0.0267333984375,
0.021240234375,
0.073730468... | 14,253 | 14253 | |
RC circuit problems
Register to reply
by mad_monkey_j
Tags: capacitors, electronics, rc circuit
P: 33 1. The problem statement, all variables and given/known data
A 2.00μF capacitor with an initial c... | 5 | [
-0.06787109375,
0.05859375,
0.03759765625,
-0.041015625,
0.05419921875,
0.007049560546875,
0.04345703125,
0.078125,
0.01220703125,
0.11572265625,
0.072265625,
-0.10400390625,
0.03369140625,
0.1357421875,
-0.04052734375,
-0.00921630859375,
-0.0751953125,
-0.0281982421875,
-0.04443... | 14,254 | 14254 | |
Changing the order of integration
November 19th 2008, 06:50 AM #1
Member
Joined
May 2008
Posts
106
Changing the order of integration
Hey I'm having some trouble with multiple integrals if anyone would care to explain (I think I'm just not using the correct region!)
Evaluate
$\int_{x=0}^2\int_{y... | 4 | [
0.0036468505859375,
-0.005126953125,
0.05908203125,
-0.08740234375,
0.04833984375,
-0.048583984375,
-0.076171875,
0.04638671875,
-0.042724609375,
-0.03369140625,
-0.00836181640625,
0.030517578125,
0.03955078125,
0.01025390625,
-0.0234375,
0.05859375,
-0.029541015625,
-0.08935546875... | 14,255 | 14255 | |
Toulouse 2004 Meeting
We show some finite time stabilization results concerning nonlinear oscillators subject to dry friction. Applications to physical sciences and decision sciences are given.
The main object of the talk is the geometric analysis of attainable sets in time T > 0 for nonlinear control systems ... | 4 | [
-0.0106201171875,
0.01275634765625,
-0.005340576171875,
0.00830078125,
-0.02392578125,
0.0400390625,
0.01275634765625,
0.00007534027099609375,
0.0189208984375,
0.05810546875,
-0.0498046875,
0.0400390625,
0.06396484375,
0.0458984375,
-0.054443359375,
0.00836181640625,
0.02197265625,
... | 14,256 | 14256 | |
A closed cylindrical tank
November 28th 2010, 08:00 AM #1
Newbie
Joined
Nov 2010
Posts
12
A closed cylindrical tank
A closed cylindrical tank is to be built using 924m^2 of metal. Calculate the radius and height if the volume of the cylinder is to be a maximum.
I just cant get my head around these ... | 5 | [
0.0233154296875,
0.10107421875,
-0.0439453125,
-0.048583984375,
0.0341796875,
-0.031494140625,
-0.0184326171875,
0.1328125,
-0.07275390625,
-0.0303955078125,
-0.07080078125,
0.0003986358642578125,
0.044921875,
0.1064453125,
-0.00341796875,
-0.024169921875,
0.03662109375,
-0.0068359... | 14,257 | 14257 | |
Help? i dont get it
April 7th 2009, 05:26 PM
madmatt
Help? i dont get it
4/1 - x + 2/(1 - x)^2
I have the answer
6-4x/(x-1)(x-1)
but i dont understand how to get there
anyhelp is greatly appreciated (Happy)
thank you
April 7th 2009, 05:31 PM
Prove It
Quote:
$\frac{4}{1 - x} +... | 4 | [
-0.024658203125,
-0.006378173828125,
0.091796875,
0.050048828125,
-0.0181884765625,
0.01177978515625,
-0.004791259765625,
0.0057373046875,
0.01220703125,
-0.0032501220703125,
-0.06201171875,
-0.07763671875,
0.0269775390625,
-0.0228271484375,
-0.076171875,
0.041259765625,
-0.030029296... | 14,258 | 14258 | |
Solve the word problems? : Lawns and Turf
1. A rectangular pool has dimensions of 40 ft and 60 ft. If the pool has a patio area around it that equals the area of the pool, how wide is the distance from the pool edge to the patio edge?
2. One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg i... | 4 | [
0.02880859375,
0.052001953125,
0.01806640625,
-0.02099609375,
-0.01385498046875,
-0.0101318359375,
0.0069580078125,
0.0634765625,
-0.061767578125,
0.0194091796875,
0.01171875,
-0.007293701171875,
0.0595703125,
0.06591796875,
-0.002471923828125,
0.054931640625,
-0.03564453125,
-0.00... | 14,259 | 14259 | |
CIRCUITS Assignment Help Please
1. The problem statement, all variables and given/known data
Alright I was given an assignment and I have done all the questions, but I'm not sure if they are right and would like some help if they aren't.
1. A wire has resistivity 5.6 x 10^-8 Ωm at 20 °C and a temperature coefficient ... | 5 | [
0.006439208984375,
0.11962890625,
0.0184326171875,
-0.01287841796875,
0.0078125,
0.03173828125,
0.030517578125,
0.080078125,
-0.12109375,
0.0308837890625,
0.06689453125,
-0.08203125,
0.091796875,
0.024658203125,
0.000774383544921875,
0.0888671875,
-0.080078125,
0.000453948974609375... | 14,260 | 14260 | |
A random variable,uniform distribution
A random variable is uniformly distributed over[0,1].What is its skew?
[plagarism] The skew of a RV X is: $E\left( \frac{(x-\mu)^3}{\sigma^3}\right)=\frac{E( (x-\mu)^3)}{\sigma^3}$ where $\mu$ and $\sigma$ are the RV's mean and standard deviation. Now for the uniform
distribution... | 5 | [
0.00830078125,
-0.033447265625,
-0.0240478515625,
-0.06884765625,
-0.0186767578125,
-0.1044921875,
0.007080078125,
0.0162353515625,
-0.01153564453125,
0.00823974609375,
0.0301513671875,
0.031005859375,
0.1220703125,
-0.035400390625,
-0.0191650390625,
-0.06884765625,
0.00872802734375,... | 14,261 | 14261 | |
SerialLink
Serial-link robot class
A concrete class that represents a serial-link arm-type robot. The mechanism is described using Denavit-Hartenberg parameters, one set per joint.
Methods
plot display graphical representation of robot
teach drive the graphical robot
isspherical test if robot has spher... | 4 | [
-0.056884765625,
-0.048095703125,
-0.009033203125,
-0.08935546875,
-0.06103515625,
-0.006072998046875,
-0.02490234375,
0.055419921875,
-0.0240478515625,
0.0869140625,
0.10107421875,
0.07861328125,
0.04931640625,
-0.021728515625,
-0.04833984375,
0.034912109375,
-0.0008087158203125,
... | 14,262 | 14262 | |
Extrapolation of Urn Models via Poissonization: Accurate Measurements of the Microbial Unknown
Abstract
The availability of high-throughput parallel methods for sequencing microbial communities is increasing our knowledge of the microbial world at an unprecedented rate. Though most attention has
focused on determining... | 4 | [
-0.1015625,
-0.08740234375,
0.03759765625,
-0.01239013671875,
0.05078125,
-0.0189208984375,
-0.07763671875,
-0.031494140625,
0.10595703125,
0.036865234375,
0.025390625,
-0.07470703125,
-0.00168609619140625,
0.09033203125,
-0.048828125,
-0.0260009765625,
-0.02001953125,
-0.000421524... | 14,263 | 14263 | |
Finding the # of elements of a group that are not in any conjugate to its subgroup
April 5th 2013, 06:53 PM #2
Super Member
April 5th 2013, 02:22 PM #1
Junior Member
Finding the # of elements of a group that are not in any conjugate to its subgroup
Re: Finding the # of elements of a group that are not in any conju... | 4 | [
-0.0296630859375,
0.0291748046875,
0.054443359375,
-0.00946044921875,
0.042724609375,
-0.0240478515625,
0.1435546875,
-0.059326171875,
0.0106201171875,
-0.015380859375,
0.03369140625,
-0.024658203125,
0.04248046875,
-0.08984375,
-0.0361328125,
0.083984375,
-0.04296875,
-0.032470703... | 14,264 | 14264 | |
Modulo/congruence proof help
January 31st 2009, 07:14 PM #1
Newbie
Joined
Jan 2009
Posts
8
Modulo/congruence proof help
1. If $(a,n) = 1,$ then $\exists b \in Z s.t. ab\equiv1 (mod n).$
2. Every positive integer is congruent to the sum of its digits (mod 9).
1. Use the fact that there exists $x... | 4 | [
-0.140625,
-0.0001125335693359375,
0.01171875,
-0.033935546875,
0.0458984375,
0.04736328125,
0.1630859375,
-0.0008087158203125,
-0.0361328125,
-0.0732421875,
-0.0004749298095703125,
0.0224609375,
0.04736328125,
0.051513671875,
-0.038330078125,
-0.0216064453125,
-0.044677734375,
-0.... | 14,265 | 14265 | |
Finding the General Solution of a 2nd Order Linear Ordinary Differential Equation
October 30th 2010, 02:11 PM #1
Member
Joined
Nov 2009
Posts
92
Finding the General Solution of a 2nd Order Linear Ordinary Differential Equation
Question: Find the general solution to the equation: $t^2y'' - 2y = t$.
A... | 5 | [
-0.05859375,
-0.03759765625,
0.12890625,
0.055908203125,
0.04443359375,
0.0009613037109375,
-0.009765625,
-0.000949859619140625,
-0.029541015625,
0.09375,
0.0712890625,
0.0087890625,
-0.0166015625,
0.017333984375,
-0.01153564453125,
-0.0027313232421875,
-0.06640625,
-0.056396484375... | 14,266 | 14266 | |
Patent US7096181 - Method for searching codebook
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to performing a fixed codebook search of an enhanced variable-rate Codec (EVRC).
2. Background of the Related Art
The IS-127 EVRC was adopted as an 8 kbps voice encoder standard of TI... | 4 | [
-0.06884765625,
0.027099609375,
-0.09765625,
-0.07080078125,
-0.1005859375,
-0.0301513671875,
-0.043701171875,
0.02587890625,
-0.0157470703125,
-0.0294189453125,
0.015869140625,
-0.0113525390625,
0.026611328125,
-0.06005859375,
-0.031005859375,
-0.00872802734375,
0.08740234375,
-0.... | 14,267 | 14267 | |
Patent US4035622 - Apparatus for measuring the cardiac capacity
BACKGROUND OF THE INVENTION
The present invention relates to a process and apparatus for measuring the cardiac capacity, and more particularly the cardiac stasis, i.e. the quantity of blood in the heart between one heart beat
and the next.
Dilution metho... | 4 | [
-0.033935546875,
0.038330078125,
-0.06689453125,
0.0223388671875,
-0.06298828125,
0.05224609375,
-0.019775390625,
0.09814453125,
0.050048828125,
-0.00762939453125,
0.0098876953125,
-0.054931640625,
0.052490234375,
0.06494140625,
-0.0771484375,
-0.07666015625,
-0.00860595703125,
0.0... | 14,268 | 14268 | |
Brain Teaser #2
April 24th 2008, 07:32 PM #1
Newbie
Joined
Jan 2008
Posts
10
Brain Teaser #2
5.101001000100001....
he decimal number aboce consists of only one and 0 to the right of the decimal point. The first is followed by one 0, the second 1 is followed by two 0, the third 1 is followed by thre... | 4 | [
-0.04345703125,
0.035888671875,
0.027099609375,
-0.0810546875,
-0.03759765625,
0.0152587890625,
0.054443359375,
0.068359375,
-0.016845703125,
0.051513671875,
-0.0546875,
-0.037109375,
0.044189453125,
0.0003566741943359375,
-0.07275390625,
-0.05712890625,
-0.0174560546875,
-0.084960... | 14,269 | 14269 | |
Re: [css2-transforms] Re: comments on Matrix
From: Benoit Jacob <jacob.benoit.1@gmail.com> Date: Wed, 20 Mar 2013 15:10:31 -0400 Message-ID: <CAJTmd9r0Mv2oH=6ptgsaDDSWvWcBmbDMFvGckMvz8qwtFss2LA@mail.gmail.com> To: Rik Cabanier <
cabanier@gmail.com> Cc: Dirk Schulze <dschulze@adobe.com>, "public-fx@w3.org" <public-fx@w3... | 4 | [
-0.14453125,
0.10498046875,
-0.027099609375,
0.06689453125,
0.10693359375,
-0.011962890625,
0.02294921875,
-0.01019287109375,
0.06982421875,
-0.014892578125,
-0.033203125,
0.017578125,
0.06298828125,
0.04541015625,
0.053466796875,
0.043212890625,
0.00958251953125,
-0.00860595703125... | 14,270 | 14270 | |
The difference of exponential random variables
April 14th 2009, 03:28 PM #1
Junior Member
Joined
Jul 2008
Posts
28
The difference of exponential random variables
Hi
I need to work out the pdf of B-A, where A~exp(alpha) and B~exp(beta). I've tried making a substitution into their joint density of X=A... | 4 | [
-0.06201171875,
-0.0147705078125,
-0.04833984375,
-0.05712890625,
-0.005462646484375,
-0.01153564453125,
0.03466796875,
-0.0751953125,
-0.038330078125,
-0.0247802734375,
0.023681640625,
0.01953125,
0.0361328125,
0.0732421875,
0.068359375,
0.053466796875,
-0.0308837890625,
-0.020507... | 14,271 | 14271 | |
How do you Use the Mean Value Theorem to prove this
February 17th 2011, 04:26 AM #1
Member
Joined
Feb 2011
Posts
75
How do you Use the Mean Value Theorem to prove this
Use the Mean Value Theorem to prove that if p > 1 then $(1+x)^p$$>$$1+px$ for
$x$$\in$ (−1, 0) U (0, $\infty$).
Dear maximus101,... | 5 | [
0.05419921875,
0.048828125,
0.05908203125,
0.03857421875,
-0.029541015625,
-0.00787353515625,
0.026123046875,
0.04150390625,
-0.01361083984375,
0.07666015625,
-0.0111083984375,
-0.031494140625,
0.061767578125,
0.0272216796875,
-0.04443359375,
-0.050048828125,
-0.0576171875,
-0.0634... | 14,272 | 14272 | |
Math Help
September 22nd 2008, 06:17 AM #1
Newbie
Joined
Sep 2008
Posts
6
A little help
I haven't done stats in a long time....
I have a moment generating function for a r.v X as follows:
M(t) = Exp(2(e^t -1).
Is is possible to calculate Vav(e^x)?
Any suggestion?
Tks
For th... | 4 | [
0.0400390625,
0.0166015625,
0.0654296875,
0.030029296875,
-0.010986328125,
0.0213623046875,
0.00518798828125,
0.0498046875,
0.02001953125,
0.038330078125,
0.06982421875,
0.004425048828125,
0.0498046875,
-0.031005859375,
0.00099945068359375,
-0.00421142578125,
0.036865234375,
0.0236... | 14,273 | 14273 | |
Brevet US6765533 - Localization of a signal emitting source
This application is the US national phase of international application PCT/GB01/01204 filed 21 Mar. 2001, which designated the US.
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to a method and apparatus for passive localisatio... | 4 | [
0.01068115234375,
-0.0238037109375,
-0.0296630859375,
-0.008056640625,
0.05810546875,
-0.0257568359375,
0.04443359375,
0.0126953125,
-0.06396484375,
-0.00836181640625,
0.006866455078125,
0.0223388671875,
0.017333984375,
-0.06298828125,
-0.09521484375,
-0.0181884765625,
0.010437011718... | 14,274 | 14274 | |
GMAT Speed / Distance / Time
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
□ GMAT Course Comparision
□ GMAT Essay Tips & Grading from 800score
•
• Free GMAT Prep
□ Free GMAT CAT... | 4 | [
0.022216796875,
-0.046875,
0.0673828125,
0.01068115234375,
0.0111083984375,
0.068359375,
0.013427734375,
0.004974365234375,
-0.08544921875,
-0.017333984375,
0.04833984375,
-0.02783203125,
-0.00860595703125,
-0.072265625,
0.0302734375,
-0.004608154296875,
0.046630859375,
-0.0390625,... | 14,275 | 14275 | |
Finding a subspace (possibly intersection of subspace?)
I take it then that you mean B is a subspace of the space of all two by two matrices with real entries. However, you do NOT mean that A is the "matrix" given. Rather, A is the subspace of all two by
two matrices, with real entries, of the form
[tex]\begin{bmatrix}... | 4 | [
-0.05810546875,
0.018310546875,
-0.058349609375,
0.0028228759765625,
-0.0218505859375,
0.0634765625,
0.052978515625,
-0.05029296875,
-0.07080078125,
-0.039306640625,
0.015869140625,
-0.0023193359375,
0.050048828125,
0.02685546875,
-0.055908203125,
-0.052001953125,
-0.039794921875,
... | 14,276 | 14276 | |
Can't make simple iteration work
August 3rd 2010, 11:06 PM #1
Can't make simple iteration work
Hi,
I let $f(x)=e^x-3x-1=0$ for $x\in [1,2]$ and rewrite the equation such that $x=ln(3x+1)$.
I then rewrite $f(x)=0$ to the equivalent form $x-g(x)=0$ where $g(x)=ln(3x+1)$.
Since $g'(x)=\frac{3}{3x+1}$ I... | 5 | [
-0.057861328125,
-0.08837890625,
0.056640625,
-0.07177734375,
-0.03759765625,
-0.041015625,
0.015625,
0.020263671875,
0.0216064453125,
0.0106201171875,
0.054931640625,
-0.02783203125,
0.064453125,
-0.07177734375,
-0.031982421875,
-0.06201171875,
-0.03173828125,
-0.0228271484375,
... | 14,277 | 14277 | |
Find the number c that satisfies the conclusion of Rolle's Theorem.
$f(x) = \sqrt{x} - \frac{1}{7}x$ Find the derivative of f(x) and set equal to 0: \begin{aligned}<br /> f(x) &= x^{1/2} - \frac{1}{7}x \\<br /> f'(x) &= \frac{1}{2}x^{-1/2} - \frac{1}{7} \\<br /> 0 &=
\frac{1}{2 \sqrt{x}} - \frac{1}{7} \\<br /> \end{ali... | 4 | [
-0.0177001953125,
-0.0279541015625,
0.040771484375,
0.0654296875,
-0.07470703125,
-0.030029296875,
-0.044921875,
0.12158203125,
0.0164794921875,
0.0703125,
0.019775390625,
-0.07275390625,
0.006866455078125,
0.07763671875,
-0.052490234375,
0.002532958984375,
-0.03466796875,
-0.01403... | 14,278 | 14278 | |
Sum of this geometric series
February 2nd 2013, 12:36 PM #1
Junior Member
Joined
May 2010
Posts
63
Sum of this geometric series
Hi all,
I'm trying to find:
$\sum_{k=0}^{n} (e^{i\Theta})^{k}$
I manipulate this the following way:
$= 1 + \sum_{k=1}^{n} (e^{i\Theta})^{k} = 1 + \frac{1-e^{i... | 4 | [
-0.08544921875,
0.052978515625,
-0.038818359375,
0.0289306640625,
-0.024658203125,
-0.07568359375,
0.03857421875,
-0.064453125,
0.05419921875,
0.055419921875,
0.01251220703125,
-0.060546875,
0.01611328125,
0.0015106201171875,
0.00811767578125,
-0.00830078125,
-0.0098876953125,
-0.0... | 14,279 | 14279 | |
What is the basic method for proving the irrationality of a number?
July 20th 2010, 06:47 AM
mfetch22
What is the basic method for proving the irrationality of a number?
I know to prove the irrationality of $\sqrt{2}$ we simply minipulate the following:
$(\frac{p}{q})^2 = 2$
until we hit the contradict... | 4 | [
0.0220947265625,
-0.022705078125,
0.044189453125,
0.11669921875,
-0.000545501708984375,
0.049072265625,
-0.0089111328125,
0.030029296875,
0.05078125,
-0.043212890625,
0.00799560546875,
0.031982421875,
0.06787109375,
0.076171875,
-0.038818359375,
-0.04931640625,
0.0062255859375,
0.0... | 14,280 | 14280 | |
Factoring
February 7th 2013, 03:55 PM #1
Junior Member
Joined
Jan 2013
From
new york
Posts
45
Pretty sure factoring would be in the algebra department... hoping so. Anyways, can anyone help me factor this equation?
3x^2-10x+3
I can't seem to figure it out.
Re: Factoring
Try solving for... | 4 | [
-0.109375,
-0.0634765625,
0.000797271728515625,
0.01263427734375,
0.058349609375,
0.060302734375,
0.007080078125,
-0.0517578125,
-0.033447265625,
0.0147705078125,
0.06982421875,
-0.060546875,
0.059326171875,
0.044189453125,
-0.00531005859375,
0.0262451171875,
-0.01416015625,
0.0285... | 14,281 | 14281 | |
Calculating integral
June 29th 2011, 10:30 AM #1
Junior Member
Joined
Jun 2011
Posts
36
Calculating integral
Hello!
I am having some problems proving the following:
The function $f_{i}(x) = \int_{0}^{x} \left(-1 \right)^{\lfloor 2^{i} \cdot t \rfloor} \ dt$ has a period of $2^{1-i}$ where $x \in... | 5 | [
0.0203857421875,
-0.0064697265625,
0.0069580078125,
-0.032470703125,
0.05322265625,
-0.08935546875,
0.1044921875,
0.09423828125,
-0.0654296875,
0.0228271484375,
-0.048095703125,
-0.053466796875,
0.0703125,
0.0198974609375,
-0.022216796875,
-0.08642578125,
-0.0194091796875,
-0.06689... | 14,282 | 14282 | |
Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 527878, 20 pages
http://dx.doi.org/10.1155/2012/527878
Research Article
Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal B... | 4 | [
-0.130859375,
0.014892578125,
0.03515625,
0.022705078125,
-0.0654296875,
0.021240234375,
-0.0196533203125,
0.044921875,
-0.01177978515625,
0.01251220703125,
-0.00848388671875,
0.0693359375,
0.11669921875,
-0.01336669921875,
-0.05712890625,
0.045654296875,
-0.002655029296875,
0.0346... | 14,283 | 14283 | |
Physics Forums - Help with Reciprocal Space
WarPhalange Oct7-08 03:43 PM
Help with Reciprocal Space
I am taking Solid State now and using Kittel as the textbook. Needless to say, I don't understand almost anything that's happening.
I'm still stuck on Reciprocal Space here. If I have a lattice of atoms of spacin... | 4 | [
-0.0576171875,
-0.05859375,
-0.00072479248046875,
-0.0546875,
-0.07080078125,
0.033935546875,
0.07861328125,
0.006561279296875,
0.07666015625,
-0.05224609375,
0.00469970703125,
-0.041259765625,
0.03662109375,
-0.0537109375,
0.039306640625,
-0.0201416015625,
0.125,
-0.07373046875,
... | 14,284 | 14284 | |
inequality sign
July 28th 2010, 05:24 AM
jamesk486
inequality sign
The set of all values of x such that 3 (3 – 2x) ≤ 15 is:
A. x ≤ 1
B. x ≥ 1
C. x ≤ -1
D. x ≤ -2
E. None of the above
does the sign change? not sure
July 28th 2010, 05:37 AM
Prove It
Solve inequalities exactly the sa... | 4 | [
-0.0791015625,
0.04443359375,
0.12353515625,
0.0274658203125,
-0.00836181640625,
-0.05322265625,
-0.004058837890625,
0.0111083984375,
0.017822265625,
0.033447265625,
-0.0234375,
-0.056640625,
0.099609375,
0.0341796875,
0.0016326904296875,
-0.02001953125,
-0.001861572265625,
-0.0644... | 14,285 | 14285 | |
Poisson process
November 23rd 2010, 05:08 PM
noob mathematician
Poisson process
A store opens at 8am. From 8 until 10, customers arrive at a poisson rate of (4) per hour. Between 10 and 12, they arrive at a poisson rate of (8) per hour. From 12 to 2, the arrical rate
increases steadily from (8) per hour at 1... | 4 | [
0.01275634765625,
0.02880859375,
0.0274658203125,
-0.033203125,
-0.0693359375,
-0.06494140625,
0.0771484375,
0.034423828125,
0.0189208984375,
0.00946044921875,
0.07421875,
0.0218505859375,
0.02880859375,
0.04296875,
0.0213623046875,
-0.005462646484375,
0.053955078125,
-0.0639648437... | 14,286 | 14286 | |
Easy Linear Algebra Question
September 12th 2010, 09:28 AM #1
Member
Joined
Apr 2010
Posts
133
Easy Linear Algebra Question
Hey guys! New year new math class. I'm in Linear Algebra and its been quite a few years since ive taken the intro to linear alg course so i'm a little rusty and don't have that book... | 5 | [
-0.11767578125,
-0.00054168701171875,
0.011962890625,
0.02880859375,
-0.0198974609375,
0.05126953125,
0.06005859375,
-0.015869140625,
-0.0341796875,
0.019775390625,
0.052490234375,
-0.002044677734375,
-0.06103515625,
-0.0419921875,
-0.031982421875,
-0.064453125,
-0.03076171875,
-0.... | 14,287 | 14287 | |
general and singular solution
How to proceed to find the general and singular solution of the equation 3xy=2px2-2p2, p=dy/dx
Hey Suvadip. For those unfamiliar with non-linear DE's, what techniques have you covered in your course? (Analytic as opposed to numeric which could be applied here)
When you write \displaystyl... | 4 | [
0.006744384765625,
-0.10009765625,
0.0205078125,
-0.0263671875,
0.00848388671875,
0.033447265625,
-0.0712890625,
0.0089111328125,
0.035400390625,
0.01611328125,
0.08251953125,
0.0267333984375,
-0.0311279296875,
0.00787353515625,
0.00885009765625,
0.0038909912109375,
-0.06103515625,
... | 14,288 | 14288 | |
Need help integrating this
Hi can someone help me integrate this: $\int \frac{1}{4}x^{2}\frac{1}{\sqrt{x^{3}+1}}dx$ I must have forgotten, but do I use u substitution?
Last edited by zzizi; December 2nd 2012 at 01:21 PM.
Yes, start with $u = x^3, du = 3x^2 dx$ This becomes $\frac{1}{12} \int \frac{1}{\sqrt{u} +1} du$... | 5 | [
0.052001953125,
0.002044677734375,
0.0250244140625,
0.01251220703125,
-0.0235595703125,
-0.06640625,
-0.0634765625,
-0.0478515625,
0.02001953125,
-0.0615234375,
0.0274658203125,
0.0306396484375,
-0.037841796875,
0.05908203125,
-0.05908203125,
-0.018798828125,
0.0240478515625,
0.022... | 14,289 | 14289 | |
pre- calc test next period need help please ...
(Crying)how do you write 68/4+i - 17/4-i in a+bi format? can anyone explain not just answer this ? pls :)
I assume you mean 68/4+i to mean: $\frac{68}{4+i}$ We get: $\frac{68}{4+i} - \frac{17}{4-i}$ Then you do something called multiply with the complex conjugat. You mul... | 4 | [
0.01104736328125,
0.12353515625,
-0.0015106201171875,
0.017578125,
-0.09130859375,
-0.0546875,
-0.01300048828125,
0.001708984375,
-0.025390625,
0.031494140625,
0.03759765625,
-0.038818359375,
0.035400390625,
0.05908203125,
-0.024169921875,
-0.01708984375,
-0.0211181640625,
0.064941... | 14,290 | 14290 | |
Limit (~ is Landau's symbol in this Qs)
August 19th 2009, 12:54 PM #1
Newbie
Joined
Aug 2009
Posts
6
Hi everyone:
I got a question which is about limit, after thinking still don't know how to starts it.
please help!!!!
Q
and the Qs provide some formula to use
Euler's limit: '[1+(x/n)... | 4 | [
-0.0400390625,
-0.03369140625,
-0.059814453125,
-0.03857421875,
-0.036376953125,
0.0751953125,
0.023681640625,
-0.002044677734375,
0.02783203125,
0.01611328125,
0.0115966796875,
0.00201416015625,
0.005218505859375,
-0.041259765625,
0.0167236328125,
0.041259765625,
0.03466796875,
-0... | 14,291 | 14291 | |
Patent US5170439 - Cone beam reconstruction using combined circle and line orbits
This invention was made with government support under Grant No. HL 39792-03 awarded by the National Institutes of Health. The government has certain rights in the invention.
BACKGROUND OF THE INVENTION
The present invention relates to t... | 4 | [
-0.072265625,
0.044921875,
-0.04296875,
-0.040283203125,
-0.0186767578125,
-0.06591796875,
0.06640625,
0.060302734375,
-0.03466796875,
-0.043212890625,
-0.0299072265625,
0.0576171875,
0.056884765625,
0.03515625,
-0.1337890625,
-0.06982421875,
-0.053466796875,
0.01953125,
0.024902... | 14,292 | 14292 | |
Answer - Pints
Answer :
There were 100 pints of wine in the cask, and on thirty occasions John the Cellarer had stolen a pint and replaced it with a pint of water.
After the first theft the wine left in the cask would be 99 pints; after the second theft the wine in the cask would be 9801/100 pints (the square of 99 di... | 5 | [
-0.03955078125,
0.1337890625,
-0.05517578125,
0.00170135498046875,
0.0211181640625,
-0.00482177734375,
0.037841796875,
0.1015625,
0.0634765625,
0.01434326171875,
0.003936767578125,
-0.0234375,
0.046875,
0.037841796875,
-0.07666015625,
-0.0478515625,
-0.123046875,
0.040771484375,
... | 14,293 | 14293 | |
Radicals and exponents
May 23rd 2010, 12:19 AM #1
Newbie
Joined
May 2010
Posts
22
Hi, I am stuck on this problem, please help.
((x^2+1)^(1/2) - x^2(x^2-1)^(-1/2)) / (x^2-1)
The book says 1/(x^2+1)^3/2
While trying different things I figured out the rule that the square root of a divided by ... | 4 | [
0.00390625,
0.01068115234375,
0.024658203125,
0.04443359375,
0.0169677734375,
-0.042724609375,
-0.049560546875,
0.020751953125,
0.10009765625,
0.00982666015625,
0.08056640625,
0.0014190673828125,
0.076171875,
0.11767578125,
-0.00823974609375,
0.04443359375,
-0.00592041015625,
0.007... | 14,294 | 14294 | |
Complex Number, De Moivre and all those kinds of goodies!
November 30th 2008, 03:58 PM #1
Complex Number, De Moivre and all those kinds of goodies!
Well, this week I have a test on my worst mathematics topic so far. Complex Number. For me, someone who's not that bright, this is simply incomprehensible. I was wond... | 5 | [
-0.11376953125,
0.0303955078125,
0.0172119140625,
0.08349609375,
-0.049072265625,
-0.035400390625,
0.0081787109375,
0.05859375,
0.0703125,
0.0194091796875,
0.07568359375,
-0.01495361328125,
0.06689453125,
0.07861328125,
0.000873565673828125,
-0.099609375,
-0.03759765625,
0.02844238... | 14,295 | 14295 | |
Networks & Robotics
Artificial Neural Networks & Robotics
The simplest kind of animal response to its environment is the spinal reflex arc. Probably the best known reflex in people is the patellar reflex or "knee jerk" reaction. In this case, a sensory
neuron just below the knee connects directly to a motor neuron i... | 4 | [
-0.0771484375,
-0.07470703125,
0.04833984375,
0.0181884765625,
-0.07763671875,
-0.01226806640625,
0.0096435546875,
0.0859375,
0.10595703125,
0.054443359375,
-0.018310546875,
0.018798828125,
0.04296875,
0.06982421875,
-0.0478515625,
0.053955078125,
0.0179443359375,
0.07763671875,
... | 14,296 | 14296 | |
Math Help
March 31st 2008, 03:26 AM #1
Newbie
Joined
Nov 2007
Posts
14
Trig
Could someone please show me how to do these step by step please
a) Find the values of thita in the interval 0<theta<360 for which
sin(theta)tan(theta)-cos(theta)=1
b) Find in terms of pie, the values of x in the ... | 4 | [
-0.06298828125,
0.048828125,
0.0537109375,
-0.00421142578125,
-0.061767578125,
0.044677734375,
-0.0220947265625,
0.056640625,
0.0079345703125,
-0.03759765625,
0.056640625,
-0.0712890625,
0.061767578125,
-0.00982666015625,
0.000537872314453125,
-0.02099609375,
-0.017578125,
-0.07470... | 14,297 | 14297 | |
6th Edition,
6th Edition, Chapter 5, Problem 35
After subscribing you will see the solution, and a video explaining ALL of the steps.
Video transcript for this Giancoli 6th edition physics answer:
So we’re told that at some position the acceleration due to gravity ‘g2’ equals a regular surface of the earth ‘g’ which ... | 4 | [
-0.0257568359375,
0.000865936279296875,
0.07080078125,
0.01239013671875,
0.083984375,
-0.046630859375,
0.029296875,
0.08154296875,
-0.0069580078125,
-0.0322265625,
0.049560546875,
-0.06396484375,
-0.021484375,
0.051513671875,
0.01495361328125,
-0.02734375,
-0.037353515625,
0.038818... | 14,298 | 14298 | |
Course Content and Outcome
Course Content and Outcome Guide for MT 111
Course Number:
MT 111
Course Title:
Elec Circuits & Devices I
Credit Hours:
4
Lecture Hours:
30
Lecture/Lab Hours:
0
Lab Hours:
30
Special Fee:
Course Description
Includes Ohm's Law, Kirchhoff's Voltage and Current Law, Su... | 4 | [
-0.1044921875,
0.0732421875,
0.03076171875,
-0.043212890625,
-0.06396484375,
-0.095703125,
-0.05322265625,
0.0537109375,
-0.09033203125,
-0.0308837890625,
0.01953125,
-0.0732421875,
0.07373046875,
-0.00946044921875,
-0.037109375,
-0.041748046875,
0.0225830078125,
-0.043212890625,
... | 14,299 | 14299 |