Average Definition and 1000 Threads

Homework Statement A dissimilarity measure d(x, y) for two data points x and y typically satisfy the following three properties: 1. d(x, y) ≥ 0 and d(x, y) = 0 if and only if x = y 2. d(x, y) = d(y, x) 3. d(x,z) ≤ d(x, y) + d(y,z)The following method has been proposed for measuring the...

How do you obtain electrons and know their average velocity?? Hello guys! I am currently trying to experiment with charge accelerators. I soon tripped inside a really big hole. I soon realized that I didn't know how to measure the amount of charge(in coulombs) a charged conductor has. So...

Hi, i was just wondering what is the average iq of a physicist? Just asking because i am only 12 yo and i really want a career in mathematics/physics.

Hello, for the Poisson problem Δu = -1 on a 2D circular disk with u = 0 on the boundary, we have average(u) = \frac{1}{8\pi}Area(disk), which is easy to see, as the solution is quadratic in the polar coordinate r. Does this (or a similar) relation hold for non-circular 2D domains? This...

Homework Statement The magnetic field shown in Figure P20.61 has a uniform magnitude of 29.00 mT directed into the paper. The initial diameter of the kink is 0.30 cm. (a) The wire is quickly pulled taut, and the kink shrinks to a diameter of zero in 55.00 ms. Determine the average...

A person walks first at a constant speed of 5.00 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.00 m/s. What are (a) her average speed over the entire trip and (b) her average velocity over the entire trip? I already solved...

Homework Statement Given the following formula for distance, find the average velocity on the interval [1,3] S(t) = t/(1+t^2) Homework Equations Vavg = (S(t0) - S(t1)) / (t0 - t1) or Vavg = (V0 + V1)/2The Attempt at a Solution I get two different answers and I need help understand why...

Homework Statement After gathering data via ticker tape, of a falling object, I had the following information: Time (s), Displacement (cm) 0.0 - 0.1 , 6.2 0.1 - 0.2 , 16.0 0.2 - 0.3 , 24.5 0.3 - 0.4 , 33.1 0.4 - 0.5 , 43.0 0.5 - 0.6 , 49.7 The Question: Determine the average...

Homework Statement (i) Write an expression for the wave function of 2 particles in a 1D box. Assume that their masses are the same, m, and that the box size is a = 1. What are the energy states? (Comment: The particles are distinguishable) (ii) Write an expression for the average distance...

A softball having a mass of 0.250 kg is pitched at 99.6 km/hr. By the time it reaches the plate, it may have slowed by 10.8 percent. Neglecting gravity, estimate the average force of air resistance during a pitch, if the distance between the plate and the pitcher is 15.2 m. F=ma...

Homework Statement Let f_k\rightarrow f in L^2(\Omega) where |\Omega| is finite. If \int_{\Omega}{f_k(x)}dx=0 for all k=1,2,3,\ldots, then \int_{\Omega}{f(x)}dx=0. Homework Equations The Attempt at a Solution I started by playing around with Holder's inequality and constructing...

Homework Statement Superman (m = 90 kg) jumps over a 78 m tall building by first accelerating from rest to his maximum velocity in 0.004 s. Subsequent to this time, Superman follows normal projectile motion. What is the average force acting on Superman that gives his upward acceleration...

Homework Statement A car travels 120km East at 45km/hr, then goes West 50km at 70km/hr, then goes East again for time t at 40km/hr. If the average velocity for the entire trip is 30km/hr East, find the time t. Homework Equations The Attempt at a Solution time of car traveling East...

Here is the question: Here is a link to the question: Find the average value of the function f on the interval [0,π]. (Enter your answer in an exact form.)? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

To find average velocity, you do total displacement over total time To find average speed, you add up the speeds / total speeds there are? (Eg. (10+20)/2) Am I correct?

1. Show that applying a second-order weighted moving average to a cubic polynomial will not change anything. X_t = a_0 + a_1t + a_2t^2 + a_3t^3 is our polynomial Second-order weighted moving average: \sum_{i=-L}^{i=L} B_iX_{t+i} where B_i=(1-i^2I_2/I_4)/(2L+1-I_2^{2}/I_4) where...

I was wondering if people could give me an idea of what I should expect.

What is the simplest way of solving this? The value of a house is doubled in 20 years. What is the annual average percentage increase, if it is assumed to be the same each year?

Homework Statement The position of a particle as a function of time is given by x = (6 m/s)t + (-2 m/s^2)t^2. Find the average speed from t = 0 to t = 1 s ---------------------------------------------------------------------------------------Also, how would I plot x versus t for t = 0 to t =...

Calculate the average height above the x-axis of a point in the region 0 <= x <= 1 , 0 <= y <= x^2. I don't know what function to use to find the average height.

Homework Statement Since there is a graph and many things, I will post the link of my question. http://ibhl1-bccalculus.wikispaces.com/file/view/Solutions+to+optional+HL1+practice+for+final+(Larson+text).pdf Please scroll down to the last page (page 16) and my question is 6c. Homework...

1. Homework Statement The velocity of a particle moving along the x-axis varies in time according to the expression v(t)=α+βt2 α=46.4m/s β=4.25m/s3 t is in seconds Find the average acceleration in the time interval from t=0 to 3.63s. Answer in units of m/s2 2. Homework...

Hi! I have a little problem. Consider a 4-fermion interaction (neglecting constant factors) of the form \overline{\psi_{a \mathrm{L}}} \gamma^{\lambda} \psi_{b \mathrm{L}} \overline{\psi_{c \mathrm{L}}} \gamma_{\lambda} \psi_{d \mathrm{L}} . I want to average this interaction over a...

Homework Statement A cube of side 5cm is placed in a fluid. For the following velocity values, calculate the average divergence of the flow. Is there a source or sink within this box? The velocities are given in cm/s. The cube is oriented so that the +z axis exits the front face, the +x axis...

Homework Statement Im not really sure were I am going wrong in the problem there was a similar one in the textbook examples with a different temperature function and they just divided by 4. I really don' t know how my integration is wrong either please help the function if you can't read it...

Homework Statement Let a box of height h be filled with classical ideal gas molecules of mass m in a constant gravitational filed g. As will be shown later, the distribution molecular height z obeys: f(z) = C exp (-mgz/KT) Where C is the normalization constant a) find the average height...

Homework Statement We have to make a roller coaster for our school project. This coaster starts with a spring. In this coaster, there is a collision. Essentially, I need to find the energy lost at the collision, and the average force of friction. Homework Equations Em1=Em2 W=Fd F=ma A=DELTA v/...

A wheel has angular position theta = 0 (radians) at t = 0 (seconds). It then rotates with an angular velocity equal to .72t radians/sec. In radians per second, what is the average angular velocity from theta = 4 radians to theta = 9 radians? I got 3 for my answer but I'm not sure if it's right

Hey all, i'm trying to set up a thermal model of a permanent magnet synchronous electric motor. This by doing a lumped system analysis of the motor. In the thermal network that I've set up, I'm trying to introduce an equivalent thermal conductivity value (W/mK) for the copper conductors plus...

Homework Statement Given: V(n, t, x') = sin [k x' + A (n, t)] where k is a constant n stands for the nth realisation A is uniformly distributed in [0, 2pi] and x' denotes the position vector How can I show that the mean of V i.e. <V> and the mean of the squares <V^2> are...

Homework Statement Imagine a system, in contact with a heat reservoir, with three particles. Each particle may be in a state of energy 0 or ε. What's the temperature of the reservoir such that the mean energy of the system, <E>, is 1.2ε? Homework Equations The Attempt at a...

For ideal gas , can I assume Cv dT = nkT (3/2) , thank you

Hey guys! I find it confusing to prove "mv^2/L", the average force acted by the air molecules on a wall in a box. My textbook tells me an assumption "the time during each molecules colliding with the wall of the container is negligible compared with the time elapsed between successive collision"...

Homework Statement A car of mass 10 kg hits another car at 10 m/s and they both come to rest at the same time. In the process, the car that was hit moved back 10 meters. What is the average force exerted on it? Homework Equations Average force = change in momentum divided by time...

Hi All So I have an Accel vs Speed graph and data. Goes from 0 to 80 mph. This is all the info I have. I would like to figure out what Average Acceleration would give me the same distance, of an acceleration from 0 MPH to 80 MPH. AKA, using the formula Distance =...

Homework Statement Suppose that a seat-belted mother riding in an automobile holds a 10 kg baby in her arms. the automobile crashes and decelerates from 50km/h to 0 in .1 s. what average force would the mother have to exert on the baby to hold it?? do you think she can do this? Homework...

Homework Statement Here is the problem along with the solution: I am confused about part (a). Why is it that the area used is 2*0.008*(0.036-0.016). If you draw a cross section at just one of the holes, wouldn't that give you the max average stress? So the area used should instead be...

A glider is launched from the ground by means of a winch, which rapidly reels in a towing cable attached to the glider. What average power must the winch supply in order to accelerate a 200 kg glider from rest to 25 m/s over a horizontal distance of 75 m. Air resistance and friction are...

I am a third year physics major and am studying quantum mechanics using Griffiths' textbook. I can do most of the problems with one star or no stars with relatively little effort, but a lot of the problems with three stars I find very difficult and I cannot do them at all. For the average...

Hi there, I'm trying to create a BPM (beats per minute) calculation with virtual conducting, having taken coordinates from the Kinect's system. The idea behind it is that the Kinect will record coordinates from the movements of the hand gestures and calculate average velocities of the first...

Homework Statement Determine the average value of the following function over the interval [0,6] f(t) = (t2-1)e-0.5t Homework Equations 1/(b-a) ∫ f(x) = {f(x)} The Attempt at a Solution Substitution? let u = (t2-1) du/dt = 2t du/2t = dt 1/(6) ∫ u e-0.5t (du/2t)And here, I reach a...

I'm confused with this topic. However, I think I know a bit. There's something to do with the temperature and it affects the energy of the molecules. Can someone help?

The interior angles of an n-gon have an average measure of 175 degrees. Calculate n.

Homework Statement Two bodies travel the same distance. One body travels half of the distance with the speed V and the other half with the speed 2V. The second body travels half of the time with the speed V and the other half of the time with the speed 2V. Which of the bodies has the higher...

I have been reading about climate change recently and I have run into a problem understanding the Earth's energy budget. I will try to summarise my question but am happy to try to expand if needed. Bear in mind I am just an interested average Joe with little science background and probably a...

Hi guys. Please look at the uploaded picture. Normal stress is difined as: σ= P/A. And the Maximum normal stress σ = P/ (b*h/cos(θ)) ?? The right answers should be σAB= 97,7 MPa and σBC = -66,5 MPa. But how do I calculate it? What I have tried: Force AB: 40* sin(60deg) = 34,641 kN...

Homework Statement A 40kg branch falls 5.5m and lands on a roof. The roof withstood the the impact. Homework Equations If the impact time was 0.4 second calculate the magnitude of the average force exerted on the roof during the impact. The Attempt at a Solution F=ma doesn't seem right...

Homework Statement Let f be a 2π-periodic function (can be any periodic really, not only 2π), and let g be a smooth function. Then lim_{n\rightarrow∞}\int^{B}_{A} f(nx)g(x) converges to \frac{1}{2π}\int^{2π}_{0}f(x) The Attempt at a Solution So far, I've come up with somewhat of...

Homework Statement A jet plane is flying at a constant altitude. At time t1=0 it has components of velocity vx=95m/s, vy=115m/s. At time t2=33s the components are vx=172m/s, vy=35m/s. Find average acceleration. Homework Equations avg acceleration=vfinal-vinitial/change in time The...

Basically I would like to know how to expand: \left\langle(N - \left\langle N \right\rangle)2\right\rangle <(N - <N>)^2> Where < and > represent \left\rangle\right\langle and denote the average of the quantity the enclose. So this is pretty much the average of [N - N(average)] 2...