Minimum Definition and 1000 Threads

I wonder if they'll adopt my idea that only (federal income) taxpayers (minimum $1.00) should be allowed to vote?

∂ω2 = (1-cos2(Δt)e-2γ(t))/(nTtsin2(Δt)e-2γ(t)) n,T are assumed as constants. How can I use Mathematica to find the values of Δ and t that will give the minimum values for ∂ω2 ?

Hi What is the minimum kgf (or N) of a magnet to hold a 4m x 2.5m door? The door will be outdoor and wind can hit it. The function of the magnet is to keep it open. Best regards josh

Homework Statement Solve the initial value problem y' = 2cos (2x)/(3+2y), y(0) = 1 and determine where the solution attains its maximum value Homework Equations The Attempt at a Solution I got it to here y^{2} + 3y = sin(2x) + C but I don't know what to do from here... Help please

Homework Statement A particle of mass m and initial velocity v0 is at (x,z)=(0,0) at t=0. The particle should hit the point (x1,z1). What is the angle for which the velocity is minimum? (Constant gravitational field -g in the z direction) Homework Equations v0x = v0*cos(theta) v0z =...

In a mathematical system, what similarities are there between the most and least absolute symmetries? Might Noether's theorem explain this?

Hi, I'm working at a small company currently trying to create a casting mould for double curved surfaces. I'm in charge of programming, and I'm creating a plugin for Rhino which is supposed to take a double curved panel and reorient it to the xy-plane from where it is read and sent to our...

First post! I would be grateful if anyone could give me any advice on this particular type of problem (i.e min retardation to avoid a crash). I'm not necessarily looking for the answer to this specific question, I would rather if someone could point me in the right direction as to how to go...

Dear all, I have the following problem: I have a symmetric (non sparse) matrix, and I want to find the permutation of columns and rows that lead to have the smaller numbers in the diagonal. Anyone has a clue on how to solve efficiently this kind of problems? Thanks!

Homework Statement Theorem: Let f: M->R where M is a open subset of Rn Suppose f is C2(M) Let x E M such that "gradient of f at x" = 0 and the Hessian of f at x is positive definite Then x is a strict local minimum point of f. The above theorem is given in my textbook. If instead...

Hi there, As part of my paper I need to define the minimum non-zero element of some set. In particular I have, \begin{equation} \zeta(j):= \displaystyle \min_{\substack{ k\in1..\kappa\\ t\in 1..\kappa+1,~i \in \mathcal I^{t,j},\\ b_i^{t,j} \mod \theta_k \neq 0}} b_i^{t,j} \mod...

How to calculate minimum number of buses that have to be used if I know arrival times in a bus stop? Regards

first i hope is the correct forum to ask this kind of question. so i asked to find the minimum SOP function from the Karnaugh map (given in the picture). so i started to solve it as you can see in the picture. and this what i got:fsop=AB+BC+ACD'X' till here i think is ok. now this is...

Hi :) Please have a look on the attachment to see my question. Please help me with it. Thanks Cheers PG

Homework Statement A rocket is in elliptic orbit about the earth. To put it into escape velocity, its engine is fired briefly, changing the rocket’s velocity by
deltaV . Where in the orbit, and in what direction, should the firing occur to attain escape with a minimum value of deltav...

I wonder what the minimum safe distance would be for a black hole with mass of a couple of billion solar masses. With that I mean at what distance would the gravitational pull be negligible, I guess. I am sorry if this is the wrong kind of question to ask in this forum.

Homework Statement The problem is to take the triple integral over B of min{x,y,z}dV where B = {x,y,z}: o<x<1 , 0<y<1, and 0<z<1. (These are all less than or equal to, I didn't know the notation). Homework Equations The Attempt at a Solution What I did was break it up into...

Question: For c>0, the graphs of y=(c^2)(x^2) and y=c bound a plane region. Revolve this region about the horizontal line y= -(1/c) to form a solid. For what value of c is the volume of this solid a maximal or minimal (Use calculus 1 techniques). First, I found the volume of this...

Homework Statement Decide whether F=x2y2-2x-2y has a minimum at the point x=y=1 (after showing that the first derivatives are zero at that point). Homework Equations FxxFyy-Fxy2 The Attempt at a Solution So I found that: Fx=2xy2-2, which at point (1,1) = 0 OK Fy=2x2y-2, which...

let X1 and X2 be two randomly selected random variables from the same discrete distribution. Let Y=min(X1,X2). Find P(Y=1) according to the book. P(Y=1)=P[(X1=1)and(X2>=1)]+P[(X2=1)and(X1>=2)] I don't understand why is the asymmetry is even possible. The way I look at it, it's...

Homework Statement A marble rolls down a track and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off? Homework Equations What minimum height h must the...

I have a point in 3D specified by its coordinates (x0, y0, z0) I have a line in 3D specified and bounded by its end points (x1, y1, z1) and (x2, y2, z2) How do I calculate the minimum distance between the point and the line, keeping in mind that it may not be the perpendicular distance...

a,b,c are integers not all equal and w is the cube root of unity then minimum value of |a+bw+cw2|(w is not equals one). My answer |a+bw+cw2|<=|a|+|bw|+|cw2| |a|+|bw|+|cw2|=a+b+c. so at lest one value of |a+bw+cw2| will smaller than the minimum value of a+b+c. for integers this minimum...

Two frictionless pucks are placed on a level surface at an initial distance of 20.0 m. The mass of puck 1 is 0.80 kg and it has a charge of +3.0 X 10^-4 C., while puck 2 is 0.40 kg with a charge of +3.0 X 10^-4 C. the initial velocity of puck 1 is 12.0 m/s (E) and the initial velocity of puck 2...

Homework Statement If λ is a positive constant, determine the maximum and minimum values of f(x) = 9(4-3x^2)(λ-λ^-1-x) and show that the difference between them is 4(λ+λ^-1)^3. Find the least value of this difference as the parameter λ is varied. The attempt at a solution I expanded the...

Homework Statement What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects? Homework Equations Rayleigh criterion: θ=(1.22*λ)/D The Attempt at a Solution This problem doesn't give very much to go on so I think...

I need to find the minimum of this integral F=∫ (αy^-1+βy^3+δxy)dx where α, β and δ are constant; y is a function of x the integral is calculated over the interval [0,L], where L is constant I need to find the function y that minimizes the above-mentioned integral The integral is subject to...

We were asked to estimate the minimum kinetic energy of an electron trapped within a nucleus having diameter d . My solution was this: find the momentum of the electron (via de Broglie relation) and use a very standard kinetic energy formula, like this (assuming minimum energy state has a...

Homework Statement Find the minimum and maximum values of the function subject to the given constraint f(x,y) = x^2 + y^2, 2x + 3y = 6 Homework Equations \nablaf, \nablag The Attempt at a Solution After doing all the calculation, x value and y value came out to be...

Homework Statement Name two different functions that share a maximum and minimum at -4. Homework Equations The Attempt at a Solution This is a vague question. I guess horizontal lines would be one. I can't think of another. A function that is always a point? Thanks.

Homework Statement An industry is to construct a cylindrical container of fixed volume V, which is open at the top of. Find the quotient of the height by radius of the base of the container so that manufacturing cost can be minimal, given that the unit area of the base costs (b) twice the...

Homework Statement The question provides a graph and asks for the local minimums. I attached a picture with the graph. 2. The attempt at a solution I said the local minima are when x=0,2,5. However the answer key suggests they are at 1,2,5. Could someone please explain why 1 is a...

I found that the local minimum of y=x(e^1/x) is (1,e) but can someone tell me why the absolute minimum is also not (1,e) and can someone tell me why this function does not have an absolute minimum? Thanks

A() 61 kg child stands at the rim of a merrygo-round of radius 1.05 m, rotating with an angular speed of 1.87 rad/s The acceleration of gravity is 9.8 m/s^2 What is the child’s centripetal acceleration? Answer in units of m/s What minimum force between her feet and the floor of the...

Assume fmin is the minimum frequency of photon required for the electron to be ejected. Why can't we have an electron absorbing 2 photons of frequency fmin/2 thus the total energy will be 2h*(fmin/2)=h*fmin thus the electron to be ejected?

What is the minimum speed the rock must have, when it leaves the sling to travel exactly 400 m? The only equation I can think of using is... y = (tan(theta initial))x - (g/(2Vx0^2)x^2 y = 0 x = 400 However I have to many unknowns... I need to solve for V but I don't know Vx0 or Vy0 or...

Homework Statement The line intersects a plane at an angle alpha=2pi/3. The line is defined by r=μn, and the plane by r.m=0, with n and m unit vectors. Calculate the shortest distance from the plane to the point on the line with μ=2. Homework Equations ? The Attempt at a Solution...

Dear Experts, I like to check with you, is there a minimum temperature for a peltier thermal couple to start generating electricity? I tried putting a peltier on a stove which i was using to cook some food. There is no fire on the stove but its very hot. I place the hot side of the...

Homework Statement I am trying to find the min and max values of f(x,y)=2x^2 + 3y^2 subject to xy=5. Homework Equations f(x,y)=2x^2 + 3y^2 subject to xy=5 \mathbf\nablaf=(4x, 6y) \mathbf\nablag=(y,x) The Attempt at a Solution When I go through the calculations, I end up with two critical...

Homework Statement The gravitational pull of the Earth on an object is inversely proportional to the square of the distance of the object from the center of the earth. At the Earth's surface this force is equal to the object's normal weight mg, where g = 9.8m/s^2, and at large distances, the...

Homework Statement When it orbited the Moon, the Apollo 11 spacecraft ’s mass was 7170 kg, its period was 121 min, and its mean distance from the Moon’s center was 1.87167 × 106 m. Assume its orbit was circular and the Moon to be a uniform sphere of mass 7.36 ×1022 kg. Its orbital speed was...

What is the minimum number of edges in a k-chromatic connected graph of order n? I have read somewhere that this number is equal to \left(\begin{array}{c} k \\2 \end{array} \right) +n -k I was thinking about using K_k, the complete graph with k vertices. We know that the number of edges...

Homework Statement See Q4 https://www.physicsforums.com/attachment.php?attachmentid=39736&d=1318081996" Homework Equations The Attempt at a Solution I am not sure whether my direction of thinking is correct. I have a bad feeling about my work. Is my work correct...

Homework Statement I: A telephone line can transmit a range of frequencies \Delta f = 2500 Hz. Roughly what is the duration of the shortest pulse that can be sent over this line? II: A space probe sends a picture containing 500 by 500 elements, each containing a brightness scale with 256...

Hello, I am trying to solve the following problem using Mathematica: I have (defined) a surface of two variables, say f(a,b). Now I want to plot a path (a line) that corresponds to min[f(a,b)] starting from certain valus of a and b (say a0,b0). In other words the path always proceeds...

Homework Statement [PLAIN]http://vctson.com/temp/curve.jpeg Find the curve y = f(x) so that the ball travels from A to B in minimum time? Thanks!

Homework Statement An elevator of mass (m), is pulled upwards by a massless rope, which can bear a maximum tension of nmg (n-any natural number > 1). If the elevator starts from rest at point A, and it rises to level B where it comes to rest again.(momentary rest is sufficient). Find the...

Homework Statement Given x+y = 6\sqrt2 a + b = 6\sqrt 2 Find minimum value of \sqrt{x^2 + a^2} + \sqrt{y^2+b^2} 2. The attempt at a solution I had plotted the f(x,y) with constant a ,b And that's all. I don't realize how to do this. Any comment will be appreciated

Homework Statement A car is traveling at 44.4 mi/h on a horizontal highway. The acceleration of gravity is 9.8 m/s2 . If the coefficient of friction between road and tires on a rainy day is 0.13, what is the minimum distance in which the car will stop? (1 mi = 1.609) Answer in units of...

How do i find the maximum or minimum value of a function to the nth degree? We've only done this for a quadratic function/equation in my class, but how would u find this for a higher degree such as x^3, x^4 or x^n? Does it follow the pattern of a power function in that x^4 is similar to x^2?