Test Definition and 1000 Threads

  1. karush

    MHB Supposed to use the root and ratio test

    $\tiny{206.b.46}$ \begin{align*} \displaystyle S_{46}&=\sum_{k=1}^{\infty} \frac{2^k}{e^{k}-1 }\approx3.32569\\ % e^7 &=1+7+\frac{7^2}{2!} %+\frac{7^3}{3!}+\frac{7^4}{4!}+\cdots \\ %e^7 &=1+7+\frac{49}{2}+\frac{343}{6}+\frac{2401}{24}+\cdots \end{align*} $\textsf{root test}$...
  2. M

    A Sample size required in hypergeometric test

    I have a hypergeometric distribution with: N=total population of red and green balls, I now this K=total number of red balls, I don't know this n=sample size (number of investigated balls), I can choose this k=number of investigated balls that are red, I don't know this Red balls are a problem...
  3. S

    Is the Integrator Linear in t?

    Homework Statement Determine whether the system is linear Homework Equations Superposition The Attempt at a Solution I am comfortable solving the case where the bounds are from negative infinity to t. I have provided an example of that solution I found online. I attempt to solve that...
  4. S

    How to test the concetration of hydrogen peroxide?

    How can i test the concentration of h2o2?
  5. K

    What Test Tube/Cylinder is suitable for Faraday Effect?

    I am a high school student replicating the Faraday Effect. I plan to insert a clear liquid, such as distilled water, into a container that will be located inside of solenoid. I plan on using a test tube, however, I have doubts on whether or not the curved bottom of a test tube will alter the...
  6. sukalp

    What is online test series for exams?

    i wanted to ask you that i am having financial problem for preparing for exams for getting admission into international universities. are there online test series for physics,chemistry,maths in free
  7. M

    Testing Prep for GRE Physics Test: Serway & Jewette vs Halliday & Resnick

    hi there, i am going to study for GRE Physics test . i want anyone to guide me for an easy book for that . and i want to know which of this 2 books is more related to the gre test - physics for scientists and engineers by Serway & Jewette - fundamental of physics by Halliday & Resnick
  8. K

    MHB Test for Cauchy sequence (with limsup and log)

    If $\{x_n\}_{n \ge 1}$ is real sequence and $\limsup\limits_{n \to \infty} \frac{1}{n} \log |x_{n+1}-x_n|<0$, prove that $\{x_n\}$ is Cauchy sequence. My work: Let $a=\limsup\limits_{n \to \infty} \frac{1}{n} \log |x_{n+1}-x_n| <0$. Then, for every $\varepsilon >0$ there exist $N \in...
  9. R

    I Composite Number Test: Find Factors w/ Quadratic Equations

    All composite number comprised of atleast two factor e.g 57 = 3 * 19 and 1 * 57 14927= 11*1357 = 23*649 = 59*253 = 1*14927 We can get to know 57 is a composite number , as the factor 3*19 is achieved, as below, from 11^2. The first factor reduces and the 2nd factor increases, till first factor...
  10. S

    How to solve SDOF for an impact test

    Hi guys, Can you help me with my problem please? if a steel ball 10 kg falls from 1 metre (free fall) and hits a concrete beam, how can I solve a single degree of freedom system to get the impact force and compare it with the test? Acceleration of the steel ball is known (so impact force can...
  11. Astronuc

    News North Korea - another nuclear weapon test

    North Korea apparently detonated a nuclear weapon - again. M5.3 Explosion - 19km ENE of Sungjibaegam, North Korea http://earthquake.usgs.gov/earthquakes/eventpage/us10006n8a#executive 2016-09-09 00:30:01 UTC 41.298°N 129.015°E 0.0 km depth...
  12. G

    Category ratings on test gear (maximum voltage)

    Hi all. What does the voltage rating in each category I/II/III/IV actually mean? For example, my multimeter is Cat III rated to 300V. Is this RMS? Peak? Peak-peak? Our supply here is 230V RMS AC, but this means the momentary peak is about + and - 330V (relative to neutral/ground) and the...
  13. T

    MHB Ratio test with an integer power of an in numerator

    I have $$\sum_{n = 1}^{\infty} \frac{2^n}{n^{100}}$$ and I need to find whether it converges or diverges. I can use the ratio test to get: $$\lim_{{n}\to{\infty}} \frac{2^{n + 1}\cdot n^{100}}{2^n \cdot (n + 1)^{100}}$$ But I'm not sure how to get the limit from this. I know the limit of...
  14. A

    Turbocharger Leak Test question from a Physics Layman

    First off, I know very little about physics and have only taken classes in high school years ago. I'm a car fanatic and I'm mainly joining this forum to settle a debate I'm having with one of my friends about turbo cars and boost leak tests. For those who don't know, in an automotive...
  15. R

    Is This Japanese Online IQ Test Truly Accurate?

    That doesn't artificially inflate your results. So I'm curious to see how accurate it is (perceived to be) among the 'general population'. 43 minutes to solve out 38 pattern recognition problems. I scored 113 (SD15). Way less than what I usually get in this kind of online IQ games (130s/140s)...
  16. S

    Mounting of accelerometer on bullet - Drop test

    Hi guys, I am performing drop-weight impact tests on concrete slab. I have designed a bullet made of high tensile steel and I am interested to recorded the acceleration, then convert it to impact force. For this purpose, I need to implement an accelerometer on the bullet. I have tried two...
  17. Chris Frisella

    I What test for determing particle spin?

    Perhaps a silly question, but... As I understand it, if a particle has a 1/2 spin, it must be spun 720 degrees for it to arrive at its original orientation. What experiment spins a particle like this? Has there been one that actually spins a particle 720 degrees and checks its orientation? Or...
  18. T

    B Integral test and its conclusion

    I'm really confused about this test. Suppose we let f(n)=an and f(x) follows all the conditions. When you take the integral of f(x) and gives you some value. What are you supposed to conclude from this value?
  19. R

    MHB Is the Binomial Coefficient Test a Reliable Prime Indicator?

    I was examining the AKS and discovered this conjecture. Please prove the following true or false. Let n be an odd integer >2 then n is prime IFF $\left( \begin{array}{c} n-1 \\ \frac{n-1}{2} \\ \end{array} \right) \text{ $\equiv $ } \pm 1$ mod n
  20. T

    MHB Limit Comparison Test: Does L Approaching Infinity Matter?

    The limit comparison test states that if $a_n$ and $b_n$ are both positive and $L = \lim_{{n}\to{\infty} } \frac{a_n}{b_n} > 0$ then $\sum_{}^{} a_n$ will converge if $\sum_{}^{} b_n$ and $\sum_{}^{} a_n$ will diverge if $\sum_{}^{} b_n$ diverges. Does this rule also apply if $L$ diverges to...
  21. C

    MHB Chi-Square Test: Solving Doubt w/ Kepler

    Good afternoon, I'm glad I've joined this forum. Here's my doubt: I have a serie of values in a table like this: Case 1 34 55 Case 2 23 10 Case 3 55 40 etc... the 34 means the observed value, and the 55 the control group, and so on. It's easy to do the test of course if... The problem is: if...
  22. T

    MHB Determining the convergence or divergence of a sequence using comparison test

    I have this series: $$\sum_{k = 1}^{\infty} {4}^{\frac{1}{k}}$$ To solve this, I am trying to compare it to this series $$\sum_{k = 1}^{\infty} {4}^{k}$$ So, I can let $a_k = {4}^{\frac{1}{k}} $ and $b_k = {4}^{k}$ These seem to be both positive series and $ 0 \le a_k \le b_k$ Therefore...
  23. JulienB

    Reduced chi square test in physics

    Homework Statement Hi everybody! Our experiments teacher asked us to perform a reduced chi square test in order to estimate how good a model fits to our measured data. The experiment was the melde's experiment (vibration of a string) and we measured the frequency ##f_n## for ##n=1## to ##9##...
  24. micromass

    History Survive and Get Rich/Famous/Powerful in History: Time Travel Test

    Assume that you are being sent back in time. You can choose the exact time period, but it has to be more than 200 years ago. You cannot bring anything with you. How would you use your current knowledge in order to survive? Would you be able to get rich/famous/powerful? Note: you cannot learn...
  25. P

    Is the Empathy Quotient Test Accurate and Reliable?

    https://psychology-tools.com/empathy-quotient/ Also watch this video: How it was? What was your empathy quotient? Did you yawn? :)
  26. JulienB

    How to Interpret Chi-Square Test Results in a Radioactivity Experiment?

    Homework Statement Hi everybody! In the context of a physics experiment about radioactivity, I am asked to perform two distributions (poisson and normal) and run a chi-square test for both of them in order to define which one is the most adapted to the histogram (see attached picture)...
  27. samgrace

    I Cauchy's Integral Test for Convergence

    Hello, I am want to prove that: $$ \sum_{1}^{\infty} \frac{1}{n^{2} + 1} < \frac{1}{2} + \frac{1}{4}\pi $$ Cauchy's Convergence Integral If a function decreases as n tends to get large, say f(x), we can obtain decreasing functions of x, such that: $$ f(\nu - 1) \geqslant f(x) \geqslant...
  28. S

    A Chi squared test for data with error

    Hi everyone. I am totally new to statistics so my question may or may not be simple! I know that for the data fitting we can do a chi squared test like: \begin{equation} \chi^2 = \Sigma \frac{(f_{data}-f_{model})^2}{(error_{data})^2}\end{equation} So I have been doing this for a while, but now...
  29. mertcan

    I Is there a proof for the precision of convergence or divergence at x=+,-(1/L)?

    hi, If you look at my attachment you can see that the book express that for the situation of x=+,-(1/L) we need further investigation. It means being converged or diverged is not precise. I would like to ask: Is there remarkable proof that if x=+,-(1/L) convergence or divergence is not...
  30. T

    Litmus Test for Reversibility of Reactions?

    I'm a little confused by what exactly determines if a reaction is reversible or irreversible. I thought I have heard that if the delta G of a reaction is negative (which means it's spontaneous), that it's then irreversible, but that doesn't make a whole lot of sense when I think about it...
  31. M

    Best Book to Pass GRE Physics Test

    what is the best book to pass GRE-PHYSICS test ?
  32. Ravi Singh choudhary

    Reliability of Upper/lower yield point in tensile test.

    Some metal give two yield point in stress strain diagram. One is called Upper yield point and Lower yield point. Why lower yield point is considered as more reliable. I can think of Upper yield point is much more dependent upon experimental apparatus settings. So why lower yield point is much...
  33. T

    Location of ground on a GL 12 Test Board

    I have drawn my circuit in Proteus, and in the simulation it can run, but when i used GL 12 test board to test my circuit, it can't run. And i reallize that i don't know where is the ground in the test board. Can you guy tell me where is the ground ?
  34. Frozen

    B Can I Test Lightboxes for UV Rays?

    Hi everyone, I suffer from Delayed Sleep Phase Disorder: https://en.wikipedia.org/wiki/Delayed_sleep_phase_disorder I've been taking sleeping pills for it for years (without them, I'd never be up in time for work) but have recently become concerned about adverse consequences of long-term use...
  35. T

    I How do you implement the Dickey-Fuller test?

    Hi there, I've recently start learning methods for determining whether or not time series are stationary. The first method I'm trying to learn is the 'Dickey-Fuller Test'. This test uses a time series modeled by an AR(1) process. The key is to find whether or not this process contains a unit...
  36. G

    I What Test to Show that Inverse Curl Exists?

    What test can we perform on a vector field to determine if there exist vector field(s) that describe its inverse curl?
  37. E

    MHB Two-tailed Test: Rejecting the Null at 0.05 Level of Significance

    In a two-tailed test, the value of the test statistic is 2. If we know the test statistic follows a Student’s t- distribution with P (T>2) = 0.03, then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance. I want to say True but I think I'm overthinking the...
  38. Davephaelon

    B Golf Ball in Flat Space-Time: Return or Shift?

    Imagine a test particle (say a golf ball) just floating in flat space-time. Now have a sunlike star instantly appear some distance away. From the perspective of a distant observer, (using very distant background stars for reference), the golf ball will be shifted towards the star a certain...
  39. M

    Temperature rise due to cycle test

    Hello all, I am working on a few test scripts to test the life of a hydraulic cylinder. (It is a mechanically operated cylinder and has a positive displacement) The testing will involve thousands of continuous pump and retraction operations, due to which the temperature of the piston seal and...
  40. G

    I Breakthrough Starshot: 1st Macroscopic Test of Longitudinal Acceleration

    Breakthrough Starshot is an ambitious project that aims to use a superlaser to push a tiny craft up to 0.2 c https://en.wikipedia.org/wiki/Breakthrough_Starshot At such speeds, it would be possible to perform a macroscopic test of the longitudinal acceleration, provided the craft has an...
  41. GauravU

    Open circuit test of 3 phase transformer in Ansys Maxwell

    Hi all, I am designing a three phase 11000/433 Volts Delta/Star 50 Hertz transformer in Ansys Maxwell. It has 792 turns in 6 layers on HV side (132 turns per layer) and 18 turns in 2 layers (9 turns per layer). The resistance as I have calculated is 0.1325 ohms per phase of HV winding and 5.57...
  42. atom jana

    How many did you get right in this test?

    http://free.ultimaiq.net/numerus_basic.htm
  43. mrmrzamany

    Test Nuclear Radiation detector

    Hi, I want to test this radiation detector http://www.teviso.com/en/products/radiation-sensor-rd3024.htm The problem is we don't have strong nuclear radiation sources or even weak ones , can i mimic the radiation ?? For example can i use Microwave sources or RF field or other radiation sources...
  44. J

    Finding the Radius of Convergence through Ratio Test

    Homework Statement Let f(x)= (1+x)4/3 - In this question we are studying the Taylor series for f(x) about x=2. This assignment begins by having us find the first 6 terms in this Taylor series. For time, I will omit them; however, let's note that as we continuously take the derivative of this...
  45. T

    Induction motor locked rotor test

    For the locked rotor test I have these values, P1 = 620W Stator line voltage = 32V Stator line current = 8.4A To calculate active power/phase, Po = (P1+P2)/3 But I don't have P2, Is P1 maybe equal to P2 ?
  46. O

    MHB Helping my daughter study for a Trig test....

    My daughter is a Sophmore in high school and is taking Calculus with a current focus on Trig. I am trying to help her study but this stuff is way over my head...but I am trying! Can anyone help me with this? Here are a few of her study problems that we cannot figure out. Can you help me to...
  47. Planobilly

    How can I test the VFETs in a Yamaha B-2 amp?

    It looks like there is no replacement for the VFETs that were made by Yamaha or Sony. So, if a amp uses these output transistors and they have failed then the amp is not repairable. The amp in question is a Yamaha B-2. One side is working without issue. The other side is not working. The output...
  48. JulienB

    I How does the limit comparison test for integrability go?

    Hi everybody! I have another question about integrability, especially about the limit comparison test. The script my teacher wrote states: (roughly translated from German) Limit test: Let -∞ < a < b ≤ ∞ and the functions f: [a,b) → [0,∞) and f: [a,b) → (0,∞) be proper integrable for any c ∈...
  49. enh89

    Why does it matter what convergence test I use?

    I just took a calc 2 test and got 3/8 points on several problems that asked you to show convergence or divergence. The reason being that I didn't use the correct test of convergence? The answer was right, if you get to the point where you know the series converges, then why does it matter which...
  50. micromass

    Test Your Knowledge: Wason's Selection Test

    The recent thread of @ProfuselyQuarky reminded me of this fun puzzle. It's called the Wason's Selection Test. I stole it pretty obviously from the following website, so do check it out: http://www.philosophyexperiments.com/wason/ About 75%-80% get this wrong. You are a quality control...
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