Normal Definition and 1000 Threads

  1. M

    How can I normalize integer data for a better fit to a normal distribution?

    Hi I have a set of observed data from time intervals like 4,5,... I want to fit this data to normal distribution. Is there any normalization process I can make to change them from integers to real numbers as long as normal distribution is continuous? Regards
  2. D

    Standard normal limiting function chi squared

    Hi, I have a question If X1,X2,...,Xn are independent random variables having chi-square distribution witn v=1 and Yn=X1+X2+...+Xn, then the limiting distribution of (Yn/n) - 1 Z= --------------- as n->infinity is the standard normal distribution. sqrt(2/n) I know that Yn has...
  3. A

    Adding Normal Forces for Net Force Calculation

    Homework Statement How do you add the normal forces together after you derive the x and y component? Homework Equations Normal force = m*g*sinθ (y component) Normal force = m*g *cosθ (x- component) The Attempt at a Solution Bottom line is I'm trying to get the Net Force...
  4. N

    Integrate mixture of multivariate normal distributions

    I have a mixture of multivariate normal distributions, and I want to compute the integral with the first element of the input vector varying between specified limits, and the other elements varying from -infinity to +infinity. See attached pdf for equations. I've done it numerically but would...
  5. E

    Two unit vectors that are normal to the plane

    Homework Statement Find two unit vectors that are normal to the plane determined by the points A(0,-2,1), B(1,-1,-2), and C(-1,1,0) I found the cross-product of the two position vectors then i got 8i+4j+4k then i divided that by the magnitude to get the unit vector but how do i find the other...
  6. P

    Is the Normal Force Always Equal to the Weight of an Object?

    Which is true/false? When a force is called a "normal force", it is: A force that is always equal to the weight of the object. A force that is perpendicular to the surface of the Earth at any given location. A contact force perpendicular to the contact surface between two solid objects...
  7. C

    Why Is Normal Force Less Than mg at the Top of a Hill?

    So in class today we were talking about Normal Force, and I was really confused on one diagram. Here is a link about the question, but I don't understand why n<mg because if it is less than mg wouldn't that make it go through the earth? not sure but help understanding would be great...
  8. S

    Are linear dependent data normal distributed?

    Homework Statement Lets say we have some data which we using the method of the least squares regression can express a linear regression model. I would like to know if this data generelly will be normal-distributed if it can be expressed by a linear regession model? and if so any way to...
  9. C

    Not your normal Trigonometry Question

    Homework Statement The equation is here: http://www.wolframalpha.com/input/?i...E2%2F%28.98%29 You are trying to solve for the angle in this case x wolframalpha gave a solution to this problem but it did not show the steps and I can't use that on the test. So can anyone please do the...
  10. E

    Finding the distance between a plane and a point using the normal

    Ok, I've been stewing on this problem for a couple weeks now, and it's primarily due to my lack of practice with vectors, but I'm learning how to work with 3D computer graphics and trying to determine when an object hits a plane. Given the normal of the plane N=[nx,ny,nz] and the point at the...
  11. A

    Finding the P(2x1>x2) for a bivariate normal distribution

    Homework Statement Given a bivariate normal distribution with E(x1)=4 and E(x2) = 6 and Var(X) = [3 2.5] [2.5 7] Find P(2*x1>x2) Homework Equations The cdf of this bivariate...
  12. M

    Probably (yea I know, hilarious) easy qs about Bin and Normal distributions

    hey Gonna get straight to the point. I need to establish the probability difference between two probabilities p_1 and p_2 at 95%. Its the two probabilites that a cabin hook will hold for a certain force (25kN). two samples, each with sizes "the originals" n_1=107, "cheap pirated ones"...
  13. L

    Normal force on top of a loop?

    Say we have a roller coaster, and we want to calculate the speed the roller coaster can go at barely making the loop. Normally, the equation would be n+w=m*v^2/r, but why do we set normal equal to zero when we're solving for the minimum speed? Where does the normal come from on top of the roller...
  14. J

    Police Study: Astrological Evidence in Tail of Normal Distribution

    Astrological "evidence" produced by looking at the tails of a normal distribution I just ran across this on a large news aggregation website, so I'm sure some people here might have seen it as well. http://www.inquisitr.com/173752/jail-time-predetermined-by-astrology-signs-says-police-study/...
  15. S

    Question about friction and normal force

    Homework Statement A 3.5 kg block is pushed along a horizontal floor by a force F of magnitude 15 N at an angle of 40 degrees DOWNWARD. The coefficient of kinetic friction between the block and the floor is 0.25. My question is about the normal force. I know the normal force is given by...
  16. M

    Interpreting Normal Distribution Logic for Data Analysis

    Hi. I need some arguments to move forward the hypothesis that my data are normally distributed. Except fact that I build histogram and it is similar of shape as normal distribution how can I find some other math arguments (I mean interpreting the logic of normal distribution) to argue about...
  17. V

    Does Normal Force Do Work in Vertical Motion?

    Hello, I have become very confused after i tried to solve this question. A rope pulls a 2 kg object straight up, accelerating it from rest at 2.2 m/s^2 for 3 seconds. they want the work done by each force acting on it. Ok i found the displacement as 9.9 m up. Then i found out that the...
  18. T

    Vectors Perpendicular to Plane: nhat

    If I have a vector nhat = [nx, ny, nz] which is normal to some plane, how can I write the vectors (I assume there are infinitely many) which are perpendicular to that plane?
  19. F

    Principal normal line to helix is normal to z axis

    Homework Statement DoCarmo Section 1.5 problem 1 part d. Show that the lines containing n(s) and passing through a(s) [a is the curve, and n(s) is the unit normal vector] meet the z axis under a constant angle of pi/2. Helix: a(s) = (a cos(s/c_, a sin(s/c), b*s/c), so I computed n(s) =...
  20. B

    Normal group contained in the center.

    I am doing exercises from Hungerford's text 'Algebra', and would appreciate if someone took the time to verify my write-up for me, and possibly provide me with tips how this could be done more efficiently (using less mathematical machinery) Homework Statement If a normal subgroup N of order p...
  21. J

    Calculation and Uniqueness of Smith Normal Forms

    FYI this is a homework problem which I already have the answer to but would like to clarify some points on. Homework Statement Find the Smith Normal Form of the matrix \left[ \begin{array}{cccc} 6 & 0 & 4 \\ 0 & 6 & 8 \\ 0 & 3 & 0 \end{array} \right] over the ring of integers. Homework...
  22. G

    Normal Distribution: PDF of a Normally Distributed Random Variable

    Homework Statement A Normally distributed random variable with mean μ has a probability density function given by _ρ_...*...((-ρ2(x-μ)2)/2δ) √2∏δ|...e^ Homework Equations Its standard deviation is given by: A)ρ2/δ B)δ/ρ C)√δ|/ρ D)ρ/√δ| E)√δ|/2ρ The Attempt at a Solution...
  23. V

    Probability of Normal Distribution Generating a Sample

    I would like to know how to calculate the probability that a normal distribution generated a sample. More specifically, I am clustering lines so I have several assumed normal distributions. Each cluster has a mean and variance/StdDev. of both slope and length. Given a set of clusters...
  24. B

    Linear Regression: Pros and cons of Normal vs. simplified methods?

    I'm currently looking at a linear regression handout from Uni and there are two methods to calculate the equation. The Normal one is to find a and b for y=a+bx, the equations for a and b are given in the handout but I'll assume you're familiar with them. The simplified one is using y = Bx +...
  25. S

    Kinetic Friction, Undefined Pushing Force, Find Normal Force.

    Homework Statement A crate is pushed at constant velocity across a rough, horizontal surface by a push force P. The crate has a weight of 73N. Coefficient of kinetic friction between the crate and the floor is 0.41. Vector force P points at an angle of 37 degrees below the horizontal. What...
  26. J

    Calculating Normal Lines for ln(3x) Curve: Solving x2 + ln3x = 0

    Homework Statement The curve C has equation y = ln3x and crosses the x-axis at point (p,0) The normal to the curve at the point Q with x-co-ordinate of q passes through the origin Show that x=q is a solution of the equation x2 + ln3x = 0 Homework Equations The Attempt at a Solution...
  27. Y

    Comparing propane jet burner with normal burner.

    I am looking at some propane jet burner. They rated higher BTU than the regular burner. What is the difference between them and the advantage and disadvantage? Thanks
  28. B

    Find torque in disc brakes given normal force and coefficient of friction

    Homework Statement In the disc brakes that slow down a car, a pair of brake pads squeezes a spinning rotor; friction between the pads and the rotor provides the torque that slows down the car. If the normal force that each pad exerts on a rotor is 85 N, and the coefficient of friction is 0.62...
  29. Q

    Would a 70w halogen bulb produce less heat than 60w normal bulb?

    On Light bulb appliances there is often a 60w limit. I would guess that a halogen bulb of 70w would produce less heat so should be fine to put in similar fittings.
  30. T

    Eigenvectors of a matrix in Jordan Normal Form

    Let A =\begin{bmatrix} -14 & 5 & -2 & 1 \\ -38 & 13 & -4 & 5 \\ 25 & -10 & 7 & 5 \\ -17 & 5 & -2 & 4 \end{bmatrix} . The Jordan Normal Form of A is J =\begin{bmatrix} 2 & 1 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 3 & 1 \\ 0 & 0 & 0 & 3 \end{bmatrix} . Now, I've been told that eigenvectors...
  31. D

    Find the normal force on an inclined plane.

    Homework Statement Find the normal force acting on a mass of 5kg on an incline plane of 30 degrees. Homework Equations Fn = mgsin30 or mgcos30 ? The Attempt at a Solution I'm not sure if I use sin or cos when finding the normal force on an incline. I have trouble visualizing the...
  32. L

    How Do You Calculate Normal Force and Tension Direction at Point O?

    2. Homework Equations : N=mg; M=Fl 3. The Attempt at a Solution : i find that the normal force of the rope AD is 8.5N. Hello. Sorry that in my first post I'm already asking for help, but I'm getting really desperate with this problem. I need to find the Normal force at the point O and direction...
  33. P

    Solving Normal Force Problem: Find Fn with Ks=46.0 J, v=4.50m/s

    Homework Statement A block is sent up a frictionless ramp along which an x-axis extends upward. The figure below gives the kinetic energy of the block as a function of position x; the scale of the figure's vertical axis is set by Ks = 46.0 J. If the block's initial speed is 4.50 m/s, what is...
  34. M

    How Do You Calculate Probabilities in a Normal Distribution Scenario?

    Hello all, While studying for exam I came across this practise problem which is giving me some trouble. The amount , A, of wine in a bottle ~ N(1.05L, .0004L2). a)The bottle is labelled as containing 1L. What is the probability a bottle contains less than 1L? b) Casks are available...
  35. B

    Derivative of surface normal || tangent unit vector

    Let be w=w(σ) a curve on a surface parametrized by the arc length (the natural parametrization). Consider the m surface normal along this curve as the function of the σ arc length of the curve. Prove that m'(σ) is parallel to the t(σ) tangent unit vector of the curve for all σ, IFF this curve is...
  36. M

    Calculating weight of underwater object given normal force

    Homework Statement A glass ball of radius 2 cm sits at the bottom of a container of milk that has a density of 1.03 g/cm^3. THe normal force on the ball from the container's lower surface has a magnitude of 9.48 * 10^-2 N. What is the mass of the ball? Homework Equations Normal force +...
  37. B

    Is a Subgroup of a Normal Subgroup Always Normal?

    If N is normal in G, is its normal quotient (factor) group G/N normal as well? And does it imply that any subgroup of G/N which has a form H/N is normal as well? Is a subgroup of a normal subgrp normal as well. It appears that not always. Thanks
  38. S

    Subgroups of dihedral group and determining if normal

    To find all subgroups you use the fact that by Legrange theorem and subgroup will divide the order of the group, so for the dihedral group D4 our subgroups are of order 1,2, and 4. I am unsure how to tell whether or not these groups will be normal or not.
  39. V

    What is the Normal Force on a Rider in a Ferris Wheel at the Midpoint?

    Homework Statement The original problem is Figure P6.61 shows a Ferris wheel( I have attached the image) that rotates four times each minute. It carries each car around a circle of diameter 18.0 m. (a) What is the centripetal acceleration of a rider? What force does the seat exert on a...
  40. H

    Covariant derivative of Lie-Bracket in normal orthonormal frame

    Hi there, I was doing some calculations with tensors and ran into a result which seems a bit odd to me. I hope someone can validate this or tell me where my mistake is. So I have a normal orthonormal frame field \{E_i\} in the neighbourhood of a point p in a Riemannian manifold (M,g), i.e...
  41. V

    Conflict normal force in inclined plane

    Homework Statement The original problem was as follows: A civil engineer wishes to redesign a curved roadway in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car moving at the designated speed can negotiate the curve even when...
  42. A

    Prove that N is a normal subgroup

    Homework Statement If H is any subgroup of G and N={\cap_{a\in G} a^{-1}Ha}, prove that N is a normal subgroup of G. The Attempt at a Solution Is this statement true? \forall n: n \in N \implies \exists h \in H : n=a^{-1}ha The theorem looks intuitively true, but I don't know how to...
  43. T

    Standard Normal distribution probability

    Suppose X is the standard normal variable. is it possible to find P(X>x)? i.e does the function have a defined integral? How would you show that it is or is not defined? What information can we obtain about P(X>x).
  44. S

    How Do You Calculate Normal Force for a Cup and Saucer on a Table?

    [b]1. A cup and saucer rest on a table top. The cup has mass of 0.176 kg and the saucer 0.165 kg. Calculate the magnitude of the normal force a). the saucer exerts on the cup and b). the table exerts on the saucer. Too be honest I really don't know the equation. I think it might be...
  45. B

    Counter Example: Abelian Subgroup Not Normal

    -------------------------------------------------------------------------------- Can someone provide us with a counter example to an abelian (sub)group that is not normal. I'm thinking something in the center of a group.
  46. D

    If a group G has order p^n, show any subgroup of order p^n-1 is normal

    If a group G has order p^n , show that any subgroup of order p^{n-1} is normal in G. i have no idea how to start this. i know that to show that a subgroup N is normal in G, i need that gNg^{-1} = N . so i start with any subgroup N of order p^{n-1} but i have no idea how to continue. this...
  47. P

    Solving the average shear and normal forces

    Homework Statement View image below Homework Equations The Attempt at a Solution I don't understand where the normal and shear forces are applied. Are there one of each on both inclined planes or is there just one normal force and one shear force? If you could provide a drawing I...
  48. A

    Examples of normal and non-normal extensions of Q?

    Hi, I'm really struggling to find examples (with proofs) of the following: 1) For each n>2 give an example of a non-normal extension of Q of degree n. 2) Give examples of normal extensions of Q of degrees 3,4 and 5. 3) Show that for any positive integer n, there exists a normal...
  49. A

    Need help proving L is a normal exension of F.

    Let \begin{equation} {F}\subseteq{K_i}\subseteq{E} \end{equation} for i = 1,...,r with E a finite extension of F and where the intermediate fields \begin{equation} K_i \end{equation}are each normal extensions of F for all i. Define: \begin{equation} L = \{f(a_1,...,a_r) ...
  50. P

    What Determines the Direction of a Normal Vector in a Plane Equation?

    For a plane with equation Ax + By + Cz + D = 0, the normal vector is (A, B, C). However, this plane equation can also be rewritten as (-A)x + (-B)y + (-C)z + (-D) = 0, in which case the normal vector is (-A, -B, -C) which is in the opposite direction as the other normal vector. Basically...
Back
Top