What is Mistake: Definition and 296 Discussions

In contract law, a mistake is an erroneous belief, at contracting, that certain facts are true. It can be argued as a defense, and if raised successfully can lead to the agreement in question being found void ab initio or voidable, or alternatively an equitable remedy may be provided by the courts. Common law has identified three different types of mistake in contract: the 'unilateral mistake', the 'mutual mistake' and the 'common mistake'. The distinction between the 'common mistake' and the 'mutual mistake' is important.
Another breakdown in contract law divides mistakes into four traditional categories: unilateral mistake, mutual mistake, mistranscription, and misunderstanding.The law of mistake in any given contract is governed by the law governing the contract. The law from country to country can differ significantly. For instance, contracts entered into under a relevant mistake have not been voidable in English law since Great Peace Shipping v Tsavliris (International) Ltd (2002).

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  1. G

    Engineering DC circuit analysis: conceptual mistake?

    Homework Statement Homework Equations[/B] I have a circuit that consists on 3 components in parallel: a current source Ia, a resistor R and a capacitor C. Ia is directed upwards, while the currents through the capacitor and the resistor are both directed downwards. Select the correct option in...
  2. C

    I Revisiting Heisenberg's Uncertainty Principle: Is There Room for Improvement?

    Is there any mistake in Heisenberg's uncertainty principle?
  3. D

    I Investigating a Possible Derivation Error in f(R) Gravity Field Equation

    In this paper (https://arxiv.org/abs/astro-ph/0603302) the authors derive the field equations for f(R) gravity considering a spherically symmetric and static metric. Now the Ricci scalar only depends on r so you could write f(R(r)) = g(r) for some g. However what it seems the authors have done...
  4. G

    The total potential energy of two charges Wikipedia mistake?

    Say, we have two particles of equal and opposite charge in an isolated system in which we neglect gravity. The energy of particle 1 is: E1 = U1 + T1 Where U1 is electrostatic potential energy and T1 is the kinetic energy of particle 1. The energy of particle 2 is: E2 = U2 + T2 Where U2 is...
  5. Sarah00

    Integration. Where is the mistake? (if there is)

    Homework Statement Homework EquationsThe Attempt at a Solution My Solution: My Friend Solution: Are we both right? If not, who is right? and what is the mistake in other's solution! Thanks![/B]
  6. J

    I Did Artin make a mistake regarding isomorphisms?

    I don't know if I'm losing my mind or not, but I am reading Artin's "Algebra", and in section 2.6 - isomorphisms, he writes "Corollary 2.5.9. gives us a way to verify that a homomorphism ##\varphi: G \rightarrow G'## is an isomorphism. To do so, we check that ##\mathrm{ker} \varphi = \{1\}##...
  7. Rohit Shekhawat

    Was Charles II of Spain unlucky or inevitble mistake of bio?

    Was Charles II of Spain unlucky or inevitable mistake of biology? As you can see in the pictures, Charles II of Spain was born as a child of relatives. Due to inbreeding depression,he had a lots of abnormalities. But was it just a mere coincidence that the recessive deleterious genes ended up...
  8. M

    Variation of parameters: where is my mistake?

    Homework Statement Use the method of variation of parameters to find a particular solution Homework Equations https://flic.kr/p/NqhtyQ The Attempt at a Solution https://flic.kr/p/NicCbN [/B] Can some find my mistake? The answer is just suplosed to be - 2/3te^-t[/B]
  9. A

    I Deriving Schwartzschild Finding Mistake in Ricci Tensor

    Hi, I've been unsuccesfully trying to derive the Schwartzschild solution, narrowing my mistake down to a single component of the Ricci tensor. The problem is the following(taken from Weinberg's book, with grr = A , gtt = -B and the angular part being the same as in spherical coordinates): I...
  10. kostoglotov

    Is there a mistake in the assignment?

    Homework Statement I'm actually a tutor, and a student of mine at uni has the following differential equation with initial conditions to solve imgur link: http://i.imgur.com/ptuymQv.gif From y(t) = c_1sin(3t) + c_2cos(3t), it is not possible to solve for the constants using the given...
  11. M

    I Calculating Added Mass: What is the Correct Approach?

    Hi PF! I'm calculating the added mass of a sphere accelerating in a fluid, which I found here: http://web.mit.edu/2.016/www/handouts/Added_Mass_Derivation_050916.pdf My thought process was slightly different from theirs, but I am not getting the same answer. My thoughts are to take the surface...
  12. L

    Fraction calculation, can't find mistake

    Homework Statement I did some homework and wolfram alpha afterwards gave different result than what I have. Apparently I must have done some error, but I couldn't find error after I doublechecked about two times. So I decided to see if you guys can find an error. And what is the correct answer...
  13. I

    I Trying to understand the mistake in my logical reasoning

    Hello I am in middle on solving problem 17 from Chapter 3 of Spivak's Calculus. We have a function f(x), which is a non-zero function and it obeys the following properties. \forall \, x \, y \, [f(x+y) = f(x) + f(y)] \forall \,x \, y \, \left[f(x \cdot y) = f(x)\cdot f(y)\right] We have to...
  14. JulienB

    A Noether's Theorem: Julien's Calculation Mistake?

    Hi everybody! I'm currently studying Noether's theorem, but I'm a bit stuck around a stupid line of calculation for the variation of the symmetry. The script of my teacher says (roughly translated from German, equations left as he wrote them): "V.2. Noether Theorem How does the action change...
  15. M

    I Transpose Property (where's my mistake)

    Hi PF! When proving ##\left(AB\right)^T = B^T A^T## I was thinking of writing ##\left(AB\right)_{ij} = A_{ik} B_{kj} = D_{ij}##. Then ##\left(D\right)^T_{ij} = D_{ji} = A_{jk} B_{ki} = A^TB^T## but clearly this is incorrect. Can someone tell me where my mistake is made? Thanks!
  16. A

    Finding Your Mistake: Solving a Limit Problem

    I've pondered at this problem for a long time, and I don't know where I make a mistake, can anyone give me a hint? 1. Homework Statement find a ##\delta## such that ##|f(x)-L|<\epsilon## for all x satisfying ##0<|x-a|<\delta## Homework Equations [/B] ##f(x)=x^4##; ##l=a^4##The Attempt at a...
  17. CynicusRex

    B Mistake when explaining associativity of vector addition

    Does he make a mistake at 6:18? In case of associativity. When doing a+(b+c) he's just placing the tip of a to the tail of (b+c), but shouldn't he have added the tail of a to the tip of (b+c) ending in a different point? I understand vector addition is associative, but I think how he did it is...
  18. P

    B Influx vs. radius equation, mistake in the dimensions?

    The video:
  19. P

    Hyperbola's asymptote, where's my mistake?

    I have tried like 5 times to do this problem ans still don't get the answer I'm supposed to (A). Anybody finds mistake in my work below?
  20. J

    I Wald's Mistake on Einstein Tensor pg 97?

    On page 97, Wald is computing the component ##G_{ii}## where ##1 \leq i \leq 3## of the Einstein tensor, assuming that the metric is given by ##g = -d\tau^2 + a^2(\tau)\big(dx^2 + dy^2 + dz^2)## where ##a## is the time evolution function. He writes: ##G_{ii} = R_{ii} - \frac{1}{2}R##. But if...
  21. Matejxx1

    Limit problem ( can't find the mistake)

    Homework Statement Hi. My professor asked me if I know to solve this limit and I tried doing it, however I didn't get the same answer as him. Question: What is the limit of (cos(x)*cos(2x)*cos(3x)*...*cos(nx)-1)/x^2 as x approches 0 Homework Equations / The Attempt at a Solution [/B] So to...
  22. S

    B Einstein's Greatest Mistake? Examining the Lorentz Transformation

    In Einstein’s book Relativity – the special and the general Theory (authorized translation by Robert W. Lawson, University of Sheffield) in chapter XI (the Lorentz Transformation), he gives us these formulas as the transforms: x’ = (x-vt)/sqr(1-(v^2/c^2)) y’ = y z’ = z t’ = t-(v/c^2) ∙x /...
  23. OrangeDog

    Other Accepted PhD Offer, Am I Making A Mistake

    Here is the deal: I got accepted into a PhD program, fully funded, stipend, and tuition waived. The PhD would be in an area outside my expertise, but I am ok with this because the area is interesting and something I want to study. As I am communicating with my advisor I am getting potential red...
  24. J

    Communication faster than light or where is my mistake?

    Hello, here is some reasoning how I got possibility to communicate faster than light. Likely somewhere are mistakes, but I can not find them by myself. Let's consider very simple setup with observers Alice, Bob and a source of entangled photons in-between of them like so...
  25. Z90E532

    Find my Mistake? (Moment of inertia)

    Homework Statement Find the moment of inertia of a spherical shell Homework EquationsThe Attempt at a Solution So I've been mulling over this for about two hours now and haven't figured out where I've made a mistake. Here's what I've done: I know I can do the integral by doing ##\int ^{r}...
  26. kostoglotov

    Engineering Does this (textbook) circuit diagram contain a mistake?

    Homework Statement [/B] This circuit solves some differential equation, the question is asking for the equation based on the circuit diagram imgur link: http://i.imgur.com/b1npQSK.pngHomework EquationsThe Attempt at a Solution I refer to the input terminal for -f(t)...the signal from it...
  27. grandpa2390

    Partial Derivatives. Did I make a mistake or my professor

    Homework Statement the equation is E= k((xy)x[hat] +(2yz)y[hat] +(3xz)z[hat]) Homework Equations partial of x with respect to y on the x component partial of y with respect to x on the y component The Attempt at a Solution my professor said during class that the partial of x with respect to y...
  28. ognik

    MHB Please help me find Fourier series mistake

    Find the Fourier sin series expansion of dirac delta function $\delta(x-a)$ in the half-interval (0,L), (0 < a < L): Now $b_n = \frac{1}{L} \int_0^L f(x)sin \frac{n \pi x}{L}dx $ - but L should be $\frac{L}{2}$ for this exercise... So I would get $ \frac{2}{L} \int_0^L f(x)sin \frac{n \pi...
  29. ognik

    MHB Help with Fourier series mistake

    Hi - frustratingly I get some problems right 1st time, others just defy me (Headbang) $f(x) = -x, [-\pi,0]; = x, [0,\pi]$ I get $a_0 = \pi$ and $a_n = \frac{-4}{\pi \left(2n-1\right)^2}$ which agrees with the book - but I thought I'd check $b_n$ for practice, it should = 0 according to the...
  30. I

    Simple differentiation mistake?

    The working out states that v = (m/r)sin(theta) but surely this should be (-m/r)sin(theta) ? I mean there is a negative in front of the ∂Ψ/dx ? Also, if v=0 then 0 = (m/r)sin(theta), therefore sin(theta) = 0? And from this we know cos(theta) = 1 or -1 which would mean u = Uinfinity + (m/r) or...
  31. J

    Is there a mistake in my calculation or in my reasoning?

    Homework Statement y'' + 3y' + 2y = r(t), r(t) = u(t - 1) - u(t - 2), y(0) = y'(0) = 0. I need to solve this by convolution, which I know is commutative. The problem is that my calculation gives (f * g) =/= (g * f). Could someone please tell me where my mistake is? Homework Equations...
  32. ft92

    Elastic collision problem, I to find the mistake

    Homework Statement Two objects with equal masses undergo an elastic collision in 2 dimensions. Object 1 has an initial velocity u1 and object 2 is initially at rest. After the collision, object 1 is observed to have a velocity equal to 3/5 of it's initial velocity. What is the velocity of...
  33. F

    Where is the mistake in this epsilon delta proof?

    The question asks to proof that the limit given in incorrect by contradiction. I tried working using the estimation method and the weird thing is that I completed the proof and found that the supposedly "incorrect" limit gave a correct answer although it was supposed to give me a contradiction...
  34. E

    Other How to publish if a mistake is found in a paper

    I found a mistake in one paper. It is not only a lapse, but it changes and anihilates meaning of the paper. How to publish this? In the same journal as a addenda, (because it can remark in short.)? Or it should be published as pa article in this or in another journal?
  35. kostoglotov

    Line Integral Example - mistake or am I missing something?

    This is an example at the beginning of the section on the Fundamental Theorem for Line Integrals. 1. Homework Statement Find the work done by the gravitational field \vec{F}(\vec{x}) = -\frac{mMG}{|\vec{x}|^3}\vec{x} in moving a particle from the point (3,4,12) to (2,2,0) along a piece wise...
  36. B

    Where is the mistake in this solution

    This is a solved example in the book 'Applied numerical methods with MATLAB by Chapra' A bungee jumper jumps off a cliff 200 m high with an upward velocity of 20 m/s. Detemine when he hits the ground and plot dist vs time and velocity vs time. The problem is solved in the book using MATLAB as...
  37. S

    Solving the Schödinger equation - R.Shankar's PQM, mistake?

    Hello! On p.145 of Shankar's Principles of Quantum Mechanics, the author derives the general propagator for the Schrodinger equation in the following manner. Shankar's working Expanding the state vector in the energy basis, |\psi(t)\rangle = \sum_{E} |E\rangle \langle E| \psi(t) \rangle...
  38. kostoglotov

    Double Integrals: Where am I making a mistake?

    Homework Statement Find the volume of the solid. Under the paraboloid z = x^2 + y^2 and above the region bounded by y = x^2 and x = y^2 Well, those curves only intersects in the xy-plane at (0,0) and (1,1), and in the first Quadrant, and in that first Quadrant y = sqrt(x), and over that...
  39. I

    Is this a mistake? (Stress Plane transformations)

    This is a screenshot from my lecture notes provided by my lecturer. He says theta=-30 and then proceeds to use a value of theta=60? Surely this is wrong?
  40. B

    Found a mistake in REU personal statement

    Hello, On all my REU applications besides two or three, I was asked to describe my previous research. I did so, but I realized I referred to the hydrogen atom as the hydrogen molecule. I showed in the case of H2+ that we develop the standard potential energy curve for the hydrogen atom. I...
  41. J

    MHB Check mistake of integral.

    \int \frac{3x-4}{x(1-x)}dx =\int \frac{-4}{x}dx-\int \frac{1}{1-x}dx =-4\int \frac{1}{x}dx-\int\frac{1}{1-x}dx =-4\ln\left | x \right |-\ln \left | 1-x \right |+c \ln \frac{x^4}{\left | 1-x \right |}+c But the correct answer is \ln \frac{\left | 1-x \right |}{x^4}+c. Where's my mistake?
  42. P

    Classical Is the Formula for Simple Pendulum Period Incorrect?

    In the section on approximation methods, the formula for the period of a simple pendulum of length ##L## is given by: $$T_0 = 2\pi \sqrt{\frac{g}{L}}$$ I am no expert on simple harmonic motion, but it is clear that the equation is dimensionally incorrect. The problem is, the power series used is...
  43. B

    Realizing I made a big mistake

    So, during my second year, I took a course known as Physics Problem Solving which was an elective for me. I did very well in the course initially, but my girlfriend broke up with me which led me to a downward spiral of depression. I realized that the emotional stress along with the coursework...
  44. J

    MHB Checking Mistake: Am I Wrong with $\ln\frac{1}{2}$?

    \int_{0}^{1}\frac{1}{x-2}dx =\left [ \ln\left | x-2 \right | \right ]_{0}^{1} =\ln1-\ln2 -\ln2 But the answer given is \ln\frac{1}{2}. Am I wrong?
  45. N

    Schools Did I make a mistake? Intl. student visiting grad schools

    I'm a European student currently applying to a few grad schools in America. This year I am taking a gap year to travel through Asia (where I am now). A professor I recently happened to speak to (unrelated to the schools I applied to!) said two weeks ago that it should consider flying to the USA...
  46. Q

    The average power consumed -- where is my mistake

    Homework Statement We have the circuit in the figure.I have to find the average power consumed by all the elements and the source. Homework Equations P=0.5*(I^2)*R P=-VmImcosθ/2 The Attempt at a Solution The inductor consumes zero inductive power. I apply nodal analysis at node Vo We have...
  47. moriheru

    Embarrassing Mistake in Arithmetic? Check Here for Help!

    I am actually quite sure I have it right but my book would then be wrong so I have posted my problem here to see if I didn't do a embarassing mistake in arithmetics. Homework Statement "Show that the energy equivalent of the length 10-18cm of a large extra dimension is roughly 20TeV" -Zwiebach...
  48. S

    Negative Volume of Revolution?

    There is a nice equation made by Nobuo Yamamoto which describes the curve of an egg and it is: (x^2 + y^2)^2 = ax^3 + (3/10)xy^2, where a is the length of the major axis of the egg. Solve this equation for y, we get: y=+/- sqrt((3/20)ax - x^2 + xsqrt((7/10)ax + (9/400)a^2)) When I rotate the...
  49. E

    A (relatively) simple QM Problem, but seeking my mistake

    Homework Statement Find <r> and <r2> for an electron in the ground state of hydrogen. Express in terms of Bohr radius. Homework Equations We know the relevant wave functions are: R_{10} = \frac{c_0}{a}e^{r/a}Y^0_0 and Y^0_0 = \frac{1}{\sqrt{4\pi}} The Attempt at a Solution As I...
  50. m4r35n357

    Cosmology Chapter Mistake: Reflections on Relativity

    http://mathpages.com/rr/s7-01/7-01.htm I am completely unable to follow the following sequence of working between equations 2 and 3. AFAIK the final answer is correct, but the intermediate steps seem to be a "casserole of nonsense". I would appreciate feedback from anyone who can follow this...
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