Multiple Definition and 1000 Threads

Say you have a log-level regression as follows: $$\log Y = \beta_0 + \beta_1 X_1 + \beta_1 X_2 + \ldots + \beta_n X_n$$ We're trying come up with a meaningful interpretation for changes Y due to a change in some Xk. If we take the partial derivative with respect to Xk. we end up with...

We know that a computer can simulate phenomena. Is it possible to simulate the same phenomena partially on different computers simultaneously? For example, Computer 1 simulates the front of a statue. Computer 2 simulates the back of a statue. Computer 3 simulates the birds eye view of a statue...

Suppose I have a body of mass M kept on a horizontal smooth surface. I strike that particle with some force ,providing an impulse J_1. The applied force is in vertically downward direction. Suppose that the body deforms in this process and it doesn't rebound. What I want to know is, whether the...

Could multiple, smaller rotors on a wind turbine (on the same shaft) be more effective than a single, larger rotor? Why do most wind turbines have only one big rotor? I was thinking about doing a science fair project on this topic, but I have been unable to find a conclusive answer to this...

I am an apple grower and want to build trailers to haul apples (in bins) through my orchard. I want to couple 5 - 10 foot X 40 inch wide trailers (in tandem) and tow them through the orchard. The rear axel on each trailer is fixed and the trailer connects to the trailer in front of it (on a...

Even though its possible to keep a bus charged from more than one AC voltage sources, what can be the consequences of doing so? My thoughts: - Assuming thst both the sources have similar (but not equal) phase and magnitude, we can expect small circulating currents. Which brings into question the...

I was doing some practice problems to become more familiar with the Center of Mass Velocity and I came across this one from (Noted in the picture) Engineering at Illinois, that relates the velocity of the center of mass in both the x and y direction, however I don't quit understand the answer...

If light is one dimensional, yet has gravity, and gravity is the warpage of spacetime, and spacetime has four dimensions, then how does a one dimensional wave/particle warp multiple dimensions?

I need actual examples of entanglements where they go on and on... Let's start with you observing the spin up and spin down of a particle.. so you become entangled with the state of the particle.. so "spin up and you" and "spin down and you" become terms of the entanglement where only the...

I am looking to perform a ##\chi^2## fit to more than one data set in mathematica, I just wondered how one would set this up? Given some non-linear ansatz function ##F## depending on some parameters ##a,b,c## to describe all sets of data, i.e ##F = F_z(x,a,b,c)## I want to do a ##\chi^2## fit...

In our study, we measured the seasonal abundance of selected genes from two sites. We want to make a comparison between the seasonal trends between the genes (i.e. which genes had similar trends and which didn't). What would be the best statistical analysis for this purpose? Thanks!

Hello. I have an object that I want to talk about. The object above does not seem to have numbers in a definite pattern, so, I think that this object will not have a single equation that describes the object, but instead there will be multiple number of equations of 'y' in 'x'. Correct?

Every time I see the sun that hangs over the map of Westeros (https://i.stack.imgur.com/pqf90.jpg) I find myself imaging a system of Niven ring megastructures around a star. I know it's preposterous, but just how preposterous is it? Also, if it is remotely hypothetically plausible, would the...

Hopefully this is a challenging maths problem for someone. This problem is to compare the surface area of the 4 identical circles with the circle overlayed drawn in pencil. The attached image shows 4 circles, each with diameter x. To solve the problem, I need to calculate the maximum separation...

The number of mirrors typically used in Michelson Interferometer is 2. I am looking up the respective Wikipedia article and MIT's youtube video. I am wondering, for the sake of one of my experiment, whether more than 2 mirrors can be used in the interferometer? I require the traversing mirror...

Imagine I have a 10x10x10cm cube filled with a scintillating material (material capable of generating light when energized). Three cameras are looking at this cube from three orthogonal directions (x, y, and z). Light is generated inside the cube and is refracted as it leaves the cube and...

I need to calculate the composite power at the input of an RF distribution system, is it just the sum of the signals in milliwatts at the input? I can measure each individual signal with an a spectrum analyser but I do not have a power meter to anable measurement of the total power.

Homework Statement I am struggling with solving this integral that seems to look easy on the surface but integration isn't my strong suit and so I'm not 100% sure on how to go about solving this: ∫ (120(e-15.24t - e-39984.75t))2dt where the integration is from 0 to 0.3 Homework EquationsThe...

Hi there. It is well known from the theory of differential equation the Sturm-Liouville theory, concerning with the eigenvalue problem: ##\displaystyle \frac{d}{dx} \left ( p(x) \frac{dy_n}{dx} \right ) - q(x) y_n(x)=\lambda_n w(x) y_n(x)## with prescribed boundary condtitions for ##a\leq x...

Let S S = double integrals S S x^2 dA; where R is the region bounded by the ellipse 9x^2 + 4y^2 = 36. The given transformation is x = 2u, y = 3v I decided to change the given ellipse to a circle centered at the origin. 9x^2 + 4y^2 = 36 I divided across by 36. x^2/4 + y^2/9 = 1 I replaced...

Hello, PF! I’m trying to model a real piping system, which has multiple inlets and one outlet, so I can’t use Bernoulli’s equation. Instead, I’m planning to use the generalized macroscopic energy balances as shown in BSL, which allow for any number of inlets and outlets. However, first I want...

Homework Statement Homework Equations $$ \log_{x} a \ means \ 10^x = a $$ $$ \log_{x} {a^n} = n \log_{x}{a} $$ The Attempt at a Solution $$ \log_{10} {ax} \log_{10}{bx} + 1 = 0 $$ $$ \ means \log_{10} {ax} = 1 \log_{10}{bx} = -1 \ or \ vice \ versa $$ $$ \ for \log_{10} {ax} = 1 \ so \ ax...

what if i have a cathode at one end of a tube and multiple anodes through out the tube with argon gas, will electrons flow from the one cathode to multiple anodes like curves -ve1 to +ve1 and -ve1 to +ve2 and -ve1 to +ve3 or there has to be only one cathode and one anode for electrons to flow (...

is it possible to create a plasma arc across multiple electrodes? like: cathode___ anode____________________cathode then back to anode from source? is this possible? and if yes does it need electrolyte at the anode in the middle and how to apply it?

Hi, I'm looking for a device that is able to provide stable power and alternate between power sources. UPS, no matter how good they are, they usually still have several millisecond downtime during outage, switching from power grid to backup battery. I want a device that can accept power from...

I am a commerce student But i decided to refresh my maths from some basics , i downloaded this book called algebra one for dummies . I have few doubts . What is the difference between Prime factors Greatest common factor (GCF) Least common multiple (LCM) Can i move to algebra factorization...

I mean, we defined a second to be the duration of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom [copied from wikipedia]. A meter is the distance traveled by light in 1/299792458 second. Why can't...

Hi, For my project I am plotting a Force vs Displacement graph using 2 analog inputs which are going to a DAQ. The two analog inputs are coming from; -A 5k potentiometer (for the displacement) -A 1000 lb load cell sensor (for the force) I would like to use a regulated 12V DC (1Amp) power...

Didn't know where to put this question. but just wanted to ask quickly. All i know is that in Calculus 3, you use double, triple or multiple integrals for 3D models. But what other higher level math course uses or involves multiple integrals?

I thought that I'd posted this here, but perhaps not. I've had it on the OtherWorlds and the Physics stackexchange with no results. I grew up with countless alien planet covers depicting 2-3 moons all considerably larger (telephoto lens...) than Luna's appearance from earth. Luna from Earth...

Hey. I am doing a project where I am studying a set of companies over a 7-year period. I am doing a multiple linear regression analysis either with fixed or random effects (so, it's a panel study). What I am wondering is if the general assumptions/requirements apply when using the fixed/random...

I'm trying to put together a function that sums multiple 2D Gaussian functions in one graph (i.e.; multiple Gaussian pyramids). So far from my research, I formed the following function definition: I'm not sure if my research led me to the correct way of forming the function. Is this how...

For the following random curves for example. Can you really get one derivative equation that can reproduce all of them? How? Or is it multiple individual derivative equation for each unique curve such that the equations that reproduce the following?

Hello, I am stuck on this question.The bold part is where I am stuck. I was able to get at least 2 out of the 3 test outputs but I can't seem to get the last one. I tired taking out the dividing by 2 but then the first test output doesn't work. Thank you. Question: For any element in keysList...

Homework Statement Homework Equations Partials for main equation equal the respective partials of the constraints with their multipliers The Attempt at a Solution Basically I am checking to see if this is correct I am pretty sure that 25/3 is the minimum but I am not sure how to find...

Homework Statement 2^(t-1) * 6^(t-2) = 20,000 Homework EquationsThe Attempt at a Solution I have no idea how to solve this, although I do understand the basics of logarithms

So I've been working on a home project of creating a movable, self contained, ergonomic beer small (3-6 GA) home brew kit. I'd like to be able to fill and cap 6 bottles at one time. I'm working on a prototype for the filling process but need some ideas for how I could apply 6 caps to six bottles...

Homework Statement Given a matrix M={{2,1},{1,2}} then value of cos( (π*M)/6 )Homework EquationsThe Attempt at a Solution Eigen values are π/6 and π/2 and eigen vectors are (π/6,{-1,1}) and (π/2,{1,1}). Diagonalize matrix is {{π/6,0},{0,π/2}} I got same value (√3/2)M

I am making a simple text editor program. You can load, save and exit, and other things. I have the loading and saving working, but the exiting is giving me a peculiar problem. In my project, I have a gui class that extends JFrame, and I also have an ExitOption class that extnds JFrame. I am...

Homework Statement [/B] Derive expressions for the magnitude and direction of the electric field at point P and the potential at R. Charges Q1 and Q2 are both positive. Distance from Q1 to P is h, distance from Q2 to P is √2 h Homework Equations E = k q/r^2 The Attempt at a Solution I...

My previous Chemistry teacher while teaching IUPAC nomenclature said that the double bond is always given greater priority over the triple bond and the numbering of the carbon atom chain is done in such a way that the double bond gets the lowest possible number while my present Chemistry teacher...

So, I got the following problem: I want to write my equation the way you can see it in the picture: I am actually running this: \ begin{align} \begin{split} ... \ end{split} \ end{align} My problem is, that I can not set multiple align points. I need one point to attach the first 4 lines to...

Hi all - hope I'm not beating a dead horse here, but I'm following up on at least two other threads (made sense to consolidate): There are theories of quantum gravity (or the Standard Model Extension) that allow for local Lorentz violation. So, my first question: is there any reason why there...

Homework Statement A vacuum photodiode detector utilizes the photoelectric effect to detect light. The photoelectric effect causes electrons to be ejected from a metal plate when photons of light are absorbed by the metal. The energy of a photon is given by the equation E = hf, where h = 6.6 x...

What is the least multiple of 2016 such that the sum of its digits is 2016. I think the answer must be a 225 digit long number ending in 8 but do not know the exact value nor how to prove it. Any ideas. Thanks beforehand.

A common sense questions. Can anyone care to provide their insights?

Has someone attempted to criss-cross multiple double slit experiment paths? The purpose would be to mix paths of observed and free particles. I want to know if clumps and fringes appear everywhere or we would get something new.

I've written a space colony simulation game called High Frontier. It correctly simulates rotational stability when most of the mass is dominated by a single large spinning part. For example, a squat cylinder will be stable, but a long cylinder will end up tumbling end over end, as shown...

Would you please introduce me some textbooks that offer multiple choice or true-false questions at the end of each chapter so I can practice before my final exam? Basically, that class I am taking right now cover many central topics in Undergraduate Probability course such as: • Moments and...

When a voltage gradient across a dielectric becomes too large, the material will break down and become conductive, mostly because of plasma ionization. Thus we get lighning, static electricity fingertip shocks, and tesla coil shows. But often during such breakdowns, there are multiple...