Test Definition and 1000 Threads

I am attempting to investigate to what quantitative degree a physical theory agrees with observations of the phenomena it predicts (specifically, Fraunhofer theory). I want to use the chi-squared test to produce some confidence levels in the measurements made in different sections of the...

Homework Statement So what I was taught was that if the lim of the ratio test is the series is always absolutely convergent. If it is >1 the series is always divergent. But if it is =1 then we don't know. So would that mean that all conditionally convergent series would have a limit = 1? I...

Homework Statement \sum^{∞}_{1}1/n^{n} Homework Equations Direct comparison test The Attempt at a Solution Since the main factor in the equation is the exponent that would be changing as n goes to infinity, I know that from the p series as p > 1 the the series converges. So I know...

Why can there sometimes be a difference observed between them?

Dear all, I am Levy , I am glade to take part into physics Forums, I hope I can share my know with everybody and study from you, Thank You! I test the PET of creep deformation recent days, who has some reference about this aspect. Thank you

OK, so I have a solid year+ to prepare for the math GRE subject test. It's pretty intimidating because I don't know where to begin studying. Does anyone know of a good game plan to approach this test with? If you've taken the test, please share how you prepped for it.

I am trying to prove e^z converges on all C. Here is my attempt. e^z=series(z^n/n!) use the ratio test on the coefficents 1/n! gives lim(1/(n+1))=0, which from rudin means radius of convergence R=1/0 -> R=infinity.

Q. Given that A is invertible , check whether A + A^(-1) is invertible or not ? A. A is invertible . => A^-1 exists ( sorry about not using the powers directly. i am not able to click on the required icon ). Suppose a non trivial solution exists to ( A + A^(-1) ) X = 0 (...

Homework Statement For the sum from n=1 to ∞ (1/(sqrt(n^2+1)), I know you can use the limit comparison test to show that it is divergent but I was wondering if it is possible to compare this with 1/(2n)? I am not sure if 1/(2n) is always less than (1/(sqrt(n^2+1)) within those bounds. How...

Homework Statement Here is the problem: http://dl.dropbox.com/u/64325990/HW%20Pictures/integraltest.PNG The Attempt at a Solution I know it is convergent because it is very similar to 1/n^1.5 which is convergent as well. However what would I compare this with using the Integral Test to...

Here is the scenario: Let's say that two sets of samples (SET 1 and SET 2) are from the same population (N=1000). SET 1 and SET 2 has the same sample size (n=500). SET 1 is composed of doctors only, and their average (mean) price that they are willing to pay for a certain product (a new drug) is...

Hi, there is a proof of the ratio test that I have seen a couple of times here: http://tutorial.math.lamar.edu/Classes/CalcII/RatioTest.aspxI don't know how to use latex, so abs(x) will mean absolute value I am ok with this: abs( aN+1) < r abs(aN) I don't understand where the r2 come from in...

$$\sum\limits_{n = 0}^{\infty}\frac{2\pi^{n+1}M}{(n+1)!}z^n$$ So we get $\lim\limits_{n\to\infty}\left|\frac{\pi z^n}{n+2}\right|$. This converges but I don't see how. z is in C.

Not really a homework question, but it could be. Working on making a burst test chamber and need some calculations that says it is safe enough. Sorry for my poor english, it's not my first language. Homework Statement The setup: First a brass fitting would be fitted inside a chamber, and...

Help with a review question please! Test tomorrow Can you please help with this review question. My test is tomorrow and I am not sure how to do this. Helium cation behaves like hydrogen atom. A particle with kinetic energy of 90.00 x 10^-12 erg collides with a gaseous helium cation in its...

Homework Statement A lamborghini's breaking speed is 6.7 times that of its acceleration. The total time taken to go from 0 to 100 and back to 0 is 13.7 seconds. What is the displacement of the car? Homework Equations Unsure at the moment The Attempt at a Solution So, you divide...

hi everybody.. Homework Statement we gave a force to this system (shwon in image) direction to the left;what will happen to this system (toothed axe) will move to the left or to the right or will be jammed? http://data.imagup.com/10/1146213664.jpg thanks for your help and.

Hi, I think the sample physics problem given by the ADA on their website is wrong. Can anyone confirm? It says: A ball is thrown horizontally at 20 m/s from the top of a building and strikes level ground 50 m from the building. How high is the building? When I solve this, I get 62m, but the...

Tonight I'm going to conduct an experiment that should settle the debate between relativity and creationism. If I'm right, space will remain still as time shoots forward by an hour.

Homework Statement Given that cot \theta = -12/5 and csc \theta < 0, find sec\theta. This was a question on a test that I drew a blank on, and I'm still not sure how to handle it due to my "teacher" repeatedly dismissing me when I try asking about it. Now, it occurred to me that this could be...

Hi, i just did a unaxial tensile test for a done specimen. What i got is the stress-strain curve, and poison ratio. May i know how can i determine the shear modulus G12 ? I gt E1, E2 and V12 and V21.

[b]1. Homework Statement [We have a 5 litre rectangular fuel tank which when full of fuel will weigh 3.7kg, I need to simulate the affect off the car pulling 1.5g in the corner by tilting the fuel tank on the lateral and longitudinal axis. What angle would be required to achieve the same affect...

Homework Statement So the dimension is R4. V1=[3 1 1 2], V2=[-2 -1 2 2] and V3=[2 1 2 1] Homework Equations The Attempt at a Solution The only way I know of to test for convergence is to make a matrix out of the row vectors of the vectors above (with the row vectors becoming the...

As Dodo noted, my prior test excluded some primes of the form 8n +/- 3, e.g. 29. I discovered a new property of the recursive series used in the prior test to allow a correction that apparently includes all primes of the form 8n +/- 3 but apparently includes no composites. The property of the...

Not too big of a question, it's more so just handling a certain presentation. T: M2x2-->M2x2 defined by: T(A) = (A + AT)/2. So my question is, how do I handle the fraction considering it will be a matrix?

So I have a question for you guys - what do you do if your test grades don't seem to be affected by how much you've studied? Here's the short version of my problem: Study a bit = ~85 and 2 out of 3 times so far, the highest grade. Don't study at all and get one hour of sleep = 80 (the...

A store Has a percentage lease at a rate of 2.5 percent of gross monthly sales. First -quarter sales were 3,500 for JAn. , 4,250 for Feb , and 5,990 for March. What was the total rent for the first three months? A:\$276.50 B:\$319.25 C:\$343.50 D:\$424.25I will take any help I can even if you...

Test Today...Quick Number Theory Question Let "a" be an odd integer. Prove that a2n (is congruent to) 1 (mod 2n+2) Attempt: By using induction: Base Case of 1 worked. IH: Assume a2k (is congruent to) 1 (mod 2k+2) this can also be written: a2k = 1 + (l) (2k+2) for some "l" IS: a2k+1 =...

Test Tomorrow...Help!...Fermat's Little Theroem Prove that if "p" is an odd prime, then a) 1p-1+2p-1+...+(p-1)p-1 "is congruent" to -1(mod p) attempt: Well I know from Fermat's little theorem, that all the constants on the left hand side will reduce to 1's: 1 + 1 + 1...1 (is congruent...

Homework Statement The original question is posted on my online-assignment. It asks the following: Determine whether the following series converges or diverges: \sum^{\infty}_{n=1}\frac{3^{n}}{3+7^{n}} There are 3 entry fields for this question. One right next to the series above...

Homework Statement Use the two path test to prove that the following limits do not exist.Homework Equations \lim_{(x,y)\rightarrow{(0,0)}}\frac{4xy}{3x^2+y^2} The Attempt at a Solution The book that I am using introduces the Two Path Test theoretically but does not show an example of how to do...

Homework Statement Consider the differential equation \frac{dy}{dx} = 2x - y On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated, and sketch the solution curve that passes through the point (0, 1). Homework Equations \frac{du}{dx} =...

Homework Statement Q) Summation from 1 to infinity (1+(-1)^i) / (8i+2^i) This series apparently converges and I can't figure out why. Homework Equations The Attempt at a Solution (1+(-1)^i) / i(8+2^i/i) Taking the absolute value of the above generalization...

I am trying to implement a register file and a test bench in VHDL. I think I have the register file itself done ok so I just have to test it with the test bench now. I'm a little unsure as to how write the stimulus process however and was hoping that someone could point me the right way. This...

I'm currently working through a self taught program, coming up to my first test and have found a review that works well for what I need, I'm stuck on several questions and any help you can provide on any of them will greatly help! 1. Consider the function: y = x^2 - 2x - 8 a) State the...

Hello, I am fairly new to econometrics and have an assignment that I would like some clarification with. My regression involves regressing wage on various variables including dummy variables for white, black and asian. I have run separate regressions using subsamples for specific races so...

Hello, if I have a set of functions of the kind \{ f_t | f_t:\mathbb{R}^2 \rightarrow \mathbb{R}^2 \; ,t\in \mathbb{R} \}, where t is a real scalar parameter. The operation I consider is the composition of functions. What should I do in order to show that it forms a Lie Group?

Given a power series, what is the condition on its coefficients that means the ratio test can be applied?

Hello! Long time peeker, first time poster. I recently made a GR joke/brainteaser on a pop sci blog I frequent, and the tirade of nutty reactions it provoked drove me to an agitated contemplation of the matter, which gave rise to a few ideas. I was thinking that maybe a Gallileo type...

Homework Statement Test the set of {1, ln(2x), ln(x^2)} for linear independence in F, the set of all functions. If it is linearly dependent, express one of the functions as a linear combination of the others. Homework Equations N/A The Attempt at a Solution I know if [ a(1)...

Homework Statement Investigate the convergence of the following series. (2n)!/(n!n!) The Attempt at a Solution Number one, I don't see how they get that if an = (2n)!, then an+1 = ((2n+2))!, it should be (2n+1)! Number two, I don't see how they go to the second step, why is the second step...

Is the converse of the ratio test true?

I took the GRE General Test earlier this week. The verbal and quantitative reasoning sections were easy, but I was overwhelmed by the analytical writing section. How does one organize a multi-paragraph response in only 30 minutes? Due to the time constraints, I was only able to give partial...

Alternating series test: If $\{a_n\}$ is positive and strictly decreasing, and $\lim a_n=0$, then $\sum(-1)^n a_n$ converges. Is the alternating series test still valid if "strictly decreasing" is omitted? Give a proof or counterexample.

It asks "use remainder estimate for integral test" to find series accurate to 3 dec? Homework Statement It says "Use the Remainder Estimate for the Integral Test to find the sum of the following series to three decimal places of accuracy." \sum^{\infty}_{n=1} \frac{1}{n^{3}} Homework...

Test for convergence: $\sum_2^\infty\frac{1}{n(\ln n)^p}$ when $p<0$. My working: Consider the function $f(x)=\frac{1}{x(\ln x)^p}=\frac{(\ln x)^q}{x}$ when $q=-p>0$. In order to use the integral test, I have to establish that $f(x)$ is decreasing for $x\ge 2$. How do I proceed?

Test for convergence: $\sum_1\sin\left(\frac{1}{n}\right)$ My attempt: $\sin\left(\frac{1}{n}\right)\sim\frac{1}{n}$ Since $\sum_1\frac{1}{n}$ diverges, $\sum_1\sin\left(\frac{1}{n}\right)$ also diverges by the asymptotic convergence test. Is that correct?

Hello, I'm a student of mechanical engineer and currently doing a project on "fabricating a torsion test equipment". I'm just wondering about my torque calculations. My design is quite simple, consists of: - angle iron (frame) - torque angle gauge (to measure angle of twist) - 2x...

how is bayesian inference actually applied? Say I have (100samples) a series of random numbers between 1 to 10. How do I test for the hypothesis that "there is a bias for the numbers 5,7" ?

Please help, A vehicle enters a test section of straight road at s = 0 with a speed of 50 km/h. It then undergoes an acceleration which varies with displacement as shown. Determine the velocity v of the vehicle as it passes the position s = 0.30 km. Thanks!