Mistake Definition and 300 Threads

  1. U

    Mistake in provided solutions?

    Homework Statement The problem is attached in the picture. The Attempt at a Solution If you refer to line 2 of the working, they substituted x with 'b' instead of y with 'b' since the first integral is with respect to y. Is this a mistake or is there something more?
  2. D

    Temperature range at which a reaction is spontaneous, Where is the mistake?

    For a chemical reaction we have, ΔH=-114.1kJ and ΔS=-146.4J/K ---> ΔS=-146.4·10^{-3}kJ/K. Question: Determine the temperature range at which the reaction is spontaneous. A reaction is spontaneous when ΔG is negative in the equation ΔG=ΔH-TΔS, so I do: ΔG=ΔH-TΔS 0>ΔH-TΔS -ΔH>-TΔS...
  3. S

    Dirac Matrix Property? Possible Book mistake?

    Dirac Matrix Property? Possible Book mistake? Derive KG from Dirac I got a copy of QFT demystified and on pg. 89 he says he can write \gamma_{\nu} \gamma^{\mu} = g_{\nu \sigma} \gamma^{\sigma} \gamma^{\mu} = g_{\nu \sigma} \frac{1}{2} (\gamma^{\sigma} \gamma^{\mu} + \gamma^{\mu}...
  4. Femme_physics

    Is the Claim that Ic = Ie and Veb = 0.7 Volts Accurate for this Circuit?

    Homework Statement http://img854.imageshack.us/img854/6386/vbbvbbvbbvbb.jpg Ic = Ie Veb = 0.7 volts Homework Equations http://www.allaboutcircuits.com/vol_3/chpt_7/8.html The Attempt at a Solution A resource I'm relying on claims that...
  5. marcus

    Explosion picture: most common mistake

    The single most common obstacle to understanding cosmology is probably the picture of expansion as an explosion outwards into empty space from some central point. It's a mistaken picture instilled in the public mind by popular media channels and reinforced by time-honored slang: the misleading...
  6. estro

    Can't figure my mistake in calculating volume

    Can't figure out my mistake in calculating volume I'm trying to calculate the volume of {(x,y,z)|x^2+(y-1)^2<1, 0<z<\sqrt{4-x^2-y^2}}: \int_0^{\pi}d\theta \int_0^{2sin(\theta)}\sqrt{4-r^2}rdr=\frac {-1}{3}\int_0^\pi ((4-4sin^2\theta)^{3/2}-8)d\theta=\frac{-8}{3}(\int_0^\pi...
  7. H

    Mistake on official answer (conservation of linear momentum)

    Homework Statement The problem says: A mine provides a transport ystem constiting into carriages (of neglect mass) hanging on a riel free of friction. In a specific moment two people of mass m=45kg are traveling when one of them says his breaks are not working. In that moment he was at...
  8. L

    Mistake using Borel-Cantelli Lemma

    Suppose that X_i\sim N(0,1) are iid, then by the Strong Law of Large Numbers the sample mean \bar{X}_n=\frac{1}{n}\sum_{i=1}^n X_i converges almost surely to the mean, which in this case is 0. Recall that by definition, \bar{X}_n \to 0 almost surely means that...
  9. H

    Dividing by Zero: What's the Mistake?

    What's the mistake here? hehe http://a7.sphotos.ak.fbcdn.net/hphotos-ak-snc6/64102_341098562596296_100000884664248_973353_615500462_n.jpg
  10. T

    Simple Continued Fractions Question (I Think My Book Has a Mistake)

    Homework Statement Show that if the simple continued fraction expression of the rational number \alpha , \alpha > 1 , is [a_0; a_1, a_2, \dotsc, a_k] , then the simple continued fraction expression of \frac{1}{\alpha} is [0; a_1, a_2, \dotsc, a_k] . Homework Equations The...
  11. N

    Thevenin Resistance - Is this a mistake in the book?

    Homework Statement http://img818.imageshack.us/img818/4065/thvs.jpg The Attempt at a Solution Calculating the Thevenin Resistance there I get 16Ω - the book however says it's 3Ω. The way I see 3Ω being calculated is if 4Ω were in parallel with 6Ω + 6Ω - however they all appear to be in...
  12. K

    LR Circuit: Book Mistake or Misunderstanding?

    problem: switch of LR circuit is closed at time = 0; what is ratio of inductor's self-induced emf ( E(L) ) to battery's emf ( E(bat) ) at t = 2τ? my solution: switch is closed so current begins to build up according to equation: i = (E(bat)/R) (1-e^(-t/τ) ) multiplying R on both sides and...
  13. E

    Mistake with Biot Savart, B of a circular loop integral

    I hope you don't mind if I'm a little liberal in your cute format. I'm looking for why method 1 does not equal method 2. 1. Homework Statement : Method 1--the "cute math" method. Alright, so... I have a circular loop of radius A, let's place it in the xy plane, with a steady current I...
  14. QuarkCharmer

    Turn in assignment, then realize mistake ugh

    I have 100 on every assignment/test in my DE course. Today, I took one quiz out of many (of which 2 are dropped) on using Laplace transforms to solve equations. I have done dozens of these problems, with great success. Today, the quiz was 2 problems, both of which relied heavily on the fact...
  15. M

    Is a STEM major really worth it for someone who hates math and physics?

    Hello, I have been changing my major many times over and am trying to figure out what I should do. I started out as a biology major, then went to business, back to biology, then to engineering, and now I'm thinking back to biology. I took the physics for bio majors and did fairly good, and I...
  16. P

    Fortran Fortran: mistake in writting this formulas

    Do I made a mistake in writting this formulas. I don't see them. Tnx for your answer. V1=(Kps*(1-ra**2)*(1-cos(6.2831853*y(1))))/(6.2831853**2* (1+ra**2+2*ra* cos(6.2831853*y(1)/2))**2) V2=(Kps*ra*(1-ra**2)*(1-cos(6.2831853*y(1)))*...
  17. I

    More Forces with some trig; I don't know where the mistake is

    Homework Statement Mass m sits on a frictionless, horizontal table. Assume: - All vertical forces acting on m (such as gravity and the normal force) sum to zero. - All applied forces act parallel to the table When a force of magnitude F is applied to mass m, it accelerate at magnitude a...
  18. B

    Did the author make a mistake in integrating by parts?

    Homework Statement In this video from which there is a screen shot above the author went from x/2 to 2x and all he said was half is two quarters. right a half is two quarters it is not 2. I just want to make sure that he made a mistake because I've been seeing some real bizarre things in...
  19. G

    Physics 2 without taking Calculus 3 - Mistake?

    Hi, At my school physics 2 has calculus 1 as a prerequisite. You don't have to take calculus 3 while taking physics 2 or prior to taking it. I found physics 2 to be extremely difficult. I was taking while taking calculus 2. We got into flux integrals, Gaussian surface integrals, and some...
  20. M

    Error in Modern Theory of Critical Phenomena by Shang-Keng Ma

    In book Modern theory of critical phenomena author Shang - Keng Ma in page 17. \sigma_{\vec{k}}=V^{-\frac{1}{2}}\int d^3\vec{x}e^{-i\vec{k}\cdot\vec{x}}\sigma(\vec{x}) \sigma(\vec{x})=V^{-\frac{1}{2}}\sum_{\vec{k}}e^{i\vec{k}\cdot \vec{x}}\sigma_{\vec{k}} Is this correct? How can inversion of...
  21. D

    Possible mistake during differentiation? Please check

    For a function f(x), I have to determine intervals of increase/decrease, find local max(s)/min(s), and find intervals of concavity. The first thing I'm doing in this is to write out f'(x) and f''(x). f(x) = ln(x)/\sqrt{x} For f'(x), I used the quotient rule and received f'(x) =...
  22. M

    Finding and Fixing Mistakes in Simplifying Algebraic Expressions

    Homework Statement It is asked to write \frac{M_{0}}{\sqrt{1-\frac{c^{2}}{v^{2}}}} in lowest terms. The answer that's given is: \frac{M_{0}*c\sqrt{c^{2}-v^{2}}}{c^{2}-v^{2}} The problem is that I don't get the correct answer.The Attempt at a Solution My solution: (0)...
  23. Femme_physics

    Mechanics of Materials - Where's my mistake?

    Homework Statement http://img85.imageshack.us/img85/6346/missrd.jpg Across the axis of a steel rod act 3 forces: F1 = 80 kN F2 = 50 kN F3 = 30 kN Crossection area of rod = 4cm2 What are the forces that are being made a the different parts of the rod, and what will be it's overall...
  24. E

    Its a mistake to pursue for Physics honors in India

    Its a mistake to pursue for Physics honors in India ! Hi.. It is Arnab aka Esteban-Pato... I m doing Physics honors under the university of Calcutta, India and is in my 1st year... The tremendous passion towards Astrophysics and Cosmology from my very childhood has attracted me to take...
  25. S

    Is There a Typo in Equation [43] Impacting MATLAB Results?

    Hi guys, Please can someone look at this working (see attached). The equation in question is [43]. It is highlighted with a red border. The numerical answers in the pdf are correct and have been verified against published material. That being said, I believe there must be a problem...
  26. Y

    I made a mistake on Professor's Name, what should I do?

    I sent an E-mail to my professor Kaufmann, but I made a mistake on his name. I typed Kaufman, not Kaufmann. What should I do?
  27. T

    Mesh Current: Cannot see my mistake in my approach?

    Mesh Current: Cannot see my mistake in my approach? Homework Statement Find currents I1, I2, and I3 using Mesh Current Analysis in this circuit: Homework Equations KVL The Attempt at a Solution Initial equations: Mesh 1: -120 + 20k(I1) + 40k(I1 - I2) = 0 Mesh 2: 40k(I2 -...
  28. G

    Calculus I - Area Between Curves - Mistake on Answer Key

    This is the answer key to one of my quizzes If you notice in the question, see attachment, were it says to integrate with respect to y the integral is integrating from 0 to 25 but this produces a negative area so this is technically wrong, yes? You don't just simply integrate from the lower...
  29. H

    I’ve made a huge mistake (or: how I learned I hate business and love physics)

    Greetings! I’m a long time lurker; so let me apologize off the bat for popping in here with my first post being a request for advice, I’ll try not to ramble too much. Two years ago the idea of "changing course" on the direction of my life came up. I pushed the idea aside, assuming my...
  30. N

    Why is the professor's method for solving the integral more efficient?

    why does the prof wrote a mistake there and wrote 2cos theta in there ?? (i didnt typed the question correctly,the original is i need to calculate the integral on the volume enclosed by z>=0 and the sphere which is written in the photo.) how mathematicky can i get this transition...
  31. L

    Is a lens necessary for producing focused images?

    But if this is so, then in these photographs: http://en.wikipedia.org/wiki/Bubble_chamber http://en.wikipedia.org/wiki/Cloud_chamber the "particle track - line of bubbles" shouldn't be able to be photographed so defined, but blureness should be photographed instead, since-if no lens was used...
  32. Femme_physics

    Statics - I think I found a mistake in the solution manual - need confirmation

    Homework Statement http://img860.imageshack.us/img860/6320/tthing.jpg In the drawing is described a beam structure fixed at point C, and held by a cable BD to the floor. The beam is loaded by two concentrated forces, F1 and F2, as described in the drawing. Given F1 = 700 [N] F2 =...
  33. Femme_physics

    I think I made a crucial mistake at the electronics test, please take a look

    This was my circuit, and they asked me to find the potential between a and bI had no clue how to combine the voltages, I stupidly added them...but the weird thing is that they appear to both contribute to the main voltage and counter each other! I feel really bad now because I'm sure I made a...
  34. L

    Finding the Mistake in Falling Objects in an Elevator

    1. An elevator is moving upward with constant velocity V. We consider a frame of reference fixed to the elevator. Since it is not accelerating, our system is equivalent to, say, a frame of reference fixed to the ground (there are no inertial forces). Now, we are inside the elevator and let an...
  35. Rasalhague

    Where is the mistake in this reasoning about differential forms?

    Lee 2003: Introduction to Smooth Manifolds ( http://books.google.co.uk/books?id=eqfgZtjQceYC&printsec=frontcover#v=onepage&q&f=false ) (search eg. for "computational"), Lemma 12.10 (b), p. 304: where I is an increasing multi-index: (i_1,...i_k) with each value less than or equal to all those...
  36. P

    Where is the Mistake in Eq. 3?

    Hello everything follows up well, but when I compare the result (eq. 5) with the numerical solution of eq. 1, then are different. Where is the mistake? eq. 3? thanks
  37. T

    What should I do if I regret taking a Co-Op and it's not the career path I want?

    I was worried that I will not find a job this summer, so I took the first offer I got. (freshmans and sophomores, please don't make the same mistake, evaluate all other possible actions) But the more time I spend doing my job, I realize just how far away from what I intend to do this job...
  38. M

    Something that can't be right about eigenvectors-where is my mistake?

    Something that can't be right about eigenvectors--where is my mistake? Xs are eigenvectors, lambdas are eigenvalues, and Cs are constants of integration. If we rearrange some homogeneous higher-order system into a matrix equation, we get the first equation on the word document. The solution...
  39. Femme_physics

    Statics problem - is the mistake mine or the solution manual?

    So I got everything right other than Rd (the end). I personally think there's a mistake in the solution manual. Homework Statement Basically these are all pin joints, even the "hydrolic cylinder" (CD) is weightless and connected by pin joints, so the fact it's called or drawn as...
  40. I

    Programs Seeking Advice After Making a Major Mistake: I Chose the Wrong Major

    I very desperately need some advice from you guys. This has been eating me up inside for the last half a year. Here's the situation: I'm a computer science major with one year to go before I get my BS. I find computer science interesting, but I'm not very passionate about it. I basically...
  41. Z

    Solve the Mistake: Simple Harmonic Motion

    Homework Statement A particle executes simple harmonic motion along a straight line with mean position at x=0, period 20s and amplitude 5cm. The (shortest) time in seconds taken by the particle to got from x=4cm to x=-3cm is? The Attempt at a Solution Let the equation be x=Asin(wt+Φ)...
  42. D

    Find a Mistake in Proof: 0,1,2,3 are All Even

    Basically I need to find a mistake in this "proof". I claim that 0,1,2,3...are all even. I will use induction to prove that 'n is even' for n = 0,1,2,3... Base case is n = 0, which is true, 0 is even. I assume that the statement is true for n = 0,1,2,3...,k and consider n = k+1. By...
  43. Femme_physics

    There HAS to be a mistake in this question (simple vectors question) please look

    Homework Statement Force R that acts on point O, is the combined force of two forces: Q that's applied horizontally, and F, whose line of action is along OB. (I think it ought to be an arrow there instead of a line)... Calculate Q and F, if R is 550 [N]...
  44. L

    Understanding the Limit Definition of the Derivative: A Search for Mistakes

    that is too sad it have been 2 days and i coudnt find out where do i make mistake. i wanted to prove:" (f(x)*g(x))'= g(x)*f(x)'+ g(x)'*f(x)". so: (f(x)*g(x))'= lim h→0 ((f(x+h)*g(x+h)-f(x)*g(x))/h) =lim h→0 ((f(x+h)*g(x+h))/h) - lim h→0 (f(x)*g(x))/h) =[lim h→0 ((f(x+h))/h)*lim h→0...
  45. M

    Is There a Calculation Error in Khan Academy's Projectile Motion Video?

    Homework Statement http://www.khanacademy.org/video/2-dimensional-projectile-motion--part-3?playlist=Physics Skip video to 4:40. He says that the average velocity in the horizonatal direction is the same as the initial velocity (7.07m/s) because it doesn't change. but wouldn't the velocity...
  46. Z

    Is there a mistake in this solution?

    Homework Statement I'm given an equation Ax + By + C = 0 The answer in the back says: If B not= 0, the set is the graph of f(x) = (-A/B)x + (-C/A) How can the last term be (-C/A)?? Shouldn't it be C/B ? Homework Equations The Attempt at a Solution y = (-Ax - C)/B...
  47. nukeman

    Really think there is a mistake in my textbook. Please check

    **Really think there is a mistake in my textbook. Please check Hey, this specific equation we are to figure out requires us to use sampling methods, and then to calculate a bunch of different equations, however before the equation I noticed my textbook has a mistake. Please correct me if I...
  48. P

    Is BioPhysics research a mistake?

    Hi all, I am a current physics undergrad student. I recently got a position on a research team doing several different biophysics research projects. Since I am just an undergrad, I get to start out doing basic low-level work like running image analysis algorithms. I am getting a little...
  49. jegues

    Where's my mistake? Laplace Transforms

    Homework Statement Find the inverse laplace transform. (see figure attached for question as well as my attempt) Homework Equations The Attempt at a Solution I came up with a different answer than the given solution, and I can't figure out where I went wrong. We are given a...
  50. ╔(σ_σ)╝

    Mistake in my analysis book ? Or am I missing something ?

    Homework Statement Please review the attachment. Why can L be OUTSIDE of D ? x_n \in D and D is bounded. So doesn't that mean that any subsequential limit of x_n has to be in D ? Btw, Theorem 3.10 is Bolzano Weierstrass. Theorem 4.4 Says that A continuous function on a closed interval is...
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