Factors Definition and 411 Threads

I'm having trouble seeing why the following is true: let M be a simply connected manifold and s a smooth map from M to U(1). Then why does it follow that s = e^(iu) for some smooth function u from M to R? Thanks!

hello :) i have a silly question and i keep confusing myself, hope someone can help me. my friend has two diseases and I want to calculate a number to represent the chance of success (i.e. him surviving both diseases for more than 5 years) disease A: chance of survival for more than 5...

In a textbook, HCl is said to remain as molecules in liquid ethanol. However, I still wonder whether HCl dissociates in ethanol to give H+ and Cl- ions. I think that as ethanol contains an OH group which is polar, ethanol molecules are capable of breaking the bond H-Cl in a manner similar to...

In Srednicki's QFT book on page 63, figure 9.11, the diagram in the middle of the second row is a Feynman diagram with four external lines, two vertices, one internal line and one loop placed on one external line. It has symmetry factor 4. Does the symmetry facor stand for the 4 possibilities...

1. A cube 1m on a side is located within a cube of 2m on a side. If the cubes do not touch, what is the view factor between the outer surface of the smaller cube and the inner surface of the larger cube? 2. View Factor = the proportion of all the radiation which leaves a surface "A" and...

Iv been watching the NASA guys work on the Mars lander on Ustream, and starting to really get into it. But I have a question: What factors make landing on Mars easier than on the Earth? Harder? And I am having a debate with a friend, maybe one of you can help. Which variables are important...

say we have a number N=pq (known) and we only know the last digits of the two factors p and q ( the righter most digit of each factor ). Is-it possible to determine the other digits of the factors? If not, what is the minimum number of digits that should be known before the answer can be a yes?

I'm a student undertaking a challenging physics project. My project is based on the Factors affecting design of an efficient paddle wheel. Until now the factors i could think about are: -Number of paddles -Size and shape of paddles -Rotation speed of paddles Since my object of study is...

Hi, Can anyone provide a list or source where I can easily get the Form factor figures for as many particles as I can? In Femtometers if poss. Thanks Chris

Hello, new to this place. Started physics the other day in high school and already have homework. Not really good with conversion factors, so would like some help with a few of the problems i had 4 homework. 1.) Suppose your hair grows at the rate of 1/30 inch per day. Find the rate at which...

Homework Statement Name the various factors of: 4ab Homework Equations None The Attempt at a Solution 4, ab, a, 4b, b, 4a, 2, 2ab, 2b, 2a Did I miss any?

Hi all, I came across your forum looking for some help to settle a debate. A few fellow home brewers and I are debating what factors influence the rate of loss during a boil. The original question came from a brewer who switched to a wider pot and discovered that he lost more liquid over the...

Thanks in advance for your help! I'm currently doing this independent study and have nothing to help me with these questions except some lesson books that came with the course, but explains hardly anything and this site. 1) so, I have to design and complete an investigation to determine...

Hello all; I'm doing work for my job, and I've forgotten my statistics =(. I first want to know if what I'm trying to do is possible. I want to create a linear regression of the form Y = a * x1 + b * x2 + c. http://imgur.com/Q4vGP" As you can see, there is space that is grayed...

Homework Statement I have a determinant to solve. Fistrow is -2a, a + b, a+c Second row is b + a, -2b, b + c Third row is c+a, c+b, -2c Prove that the determinant is equal to 4 (b +c) (c +a) (a + b) Homework Equations Not applicable. The Attempt at a Solution I have...

Homework Statement If we divide f(x)= x^3+qx^2-x-2 by x+1, we get the same remainder as if we divide it by x-2. Determine the value of q Homework Equations f(x)= x^3+qx^2-x-2 The Attempt at a Solution I tried to plug in f(-1) into the equation, and then f(2) into the equation...

Does anybody know what mechanisms in the human body contribute to the wear and tear that comes with aging, and eventually lead to death? I know that DNA telomers shortening is one. What are some others? Maybe the accumulation of DNA mutations throughout a lifetime? Thanks!

hey guys, i was wondering if there was a formula to measure the strength of a magnet in relation to its size, and what else is needed to be known before such a value can be computed. e.g. its shape, let's say a bar magnet(you have my apology if i have posted in the wrong forum, but I'm...

hi there i was wondering if you could help me: • explain the factors influencing signal intensity in MRI this is one of the questions in my assignment i was wondering if you could please help me ASAP as I am completely confused!

i need help making a program that only displays the prime factors ex: 100 = 2*2*5*5 i got the program to display all the factors but after that I am lost. here is the code so far oh its in C++ #include <iostream> using namespace std; int main() { cout << "Enter a number: "...

Can someone please tell me if I have done this correctly? "2 cylinders are similar. The area of the ends of the smaller and larger cylinders are 16cm2 and 100cm2 respectively. The height of the larger cylinder is 12.5cm. Calculate the height of the smaller cylinder." Firstly, if the scale...

Hello! Quick question reagrding partial fractions. When there is a factor such as (x+2)3 in the denominator, then the fraction is separated into the components (x+2)1+...+(x+2)3. I am not convinced I understand quite why this is so. Partial fractions guides all offer something on the theme...

Homework Statement On what all factors does coefficient of restitution depend?i mean do we have 1 for a pair of surfaces in contact or a surface has one irrespective of the surface of the other colliding body?Also,practically,does coefficient of restitution change/vary?If yes,could anyone...

How can I foctorise / factor this given that 25 and 49 share no common factors? 25x2 - 49y2

Homework Statement Hello, I am currently doing an investigation to study the factors affecting inductance. The three variables i am using are the number of turns on the coil, the material of the core of the coil and putting 2 cores in series/parallel to see how this affects the inductance...

1. Homework Statement N has total 105 factors including 1 and N. then find : a) the total no of odd factors between 1 and N. b) if the total number of divisors of N which are multiple of 36 are 45.then the total no of odd factors between 1 and N. c)the number of ways in which N can be resolved...

I'm wondering how it has been determined that the electron is really a point-like particle. Searching for this topic, I came across a post by humanino, saying that one way we know this is that observations of the electron's "form factor" are consistent with what you'd see for a pointlike...

Homework Statement Using sketches and equations briefly describe how Bernoulli's equation and other factors cause lift force to be generated by a wing. Homework Equations The Attempt at a Solution I'm struggling to find anything else that causes lift except bernoullis! please help!

Homework Statement Okay, so in my Physics 2(high school) class the instructor gave us a lab without any instructions whatsoever even though we have only been covering electricity for 2 days. The question he posed to us was "What factors affect a battery's performance?" and we have to write up...

Sorry I am spamming the forum, but I have yet another question on Feynman diagrams - Please see attached picture. Apparently the symmetry factor for this FD is 1 - I am trying to understand why. My notes explain that "the symmetry factor is 1 because: φ(x1) contracts to φ(y1) in 4 different...

I am about to do an investigation on the 'factors affecting inductance.' It would be brilliant if anyone had any ideas on experiments I could perform to investigate the factors affecting inductance. Thanks for your time.

Can anyone tell me how to factor 1 trillion in 2 numbers, and none of them have zeroes in them? Thanks.

(urgent) Can someone help me understand the factors in the Breit-Wigner formula? Hi, I have the BW formula as: \sigma = \frac{\lambda^2 (2J+1)}{\pi (2S_a+1)(2S_b+1)} \frac{\Gamma^2 / 4}{(E-E_R)^2 + \Gamma^2/4} So E_R: this is described as the 'resonance energy'. I'm pretty sure this is the...

Is there a method of integrating factors for differential equations of power 2 or higher?

Is there a name for product of the unique prime factors of a number? For example, for the number 12, it would be 3x2=6. Thanks.

Homework Statement Express x^4 + y^4 + z^4 - 2y^2z^2 - 2z^2x^2 - 2x^2y^2 as the product of four factors. 2. The attempt at a solution (x-y-z)(-x+y-z)(-x-y+z)(x+y+z)

Homework Statement Express as the product of four factors Is this correct? a^6 - b^6 = (a - b)(a^5 + a^4b + a^3b^2 + a^2b^3 + ab^4 + b^3)

What factors may cause the experimental value of acceleration due to gravity to be different from tha accepted value in a free fall experiment? Will it be something like air resistance , human error , instruments error or wrong calibration ??

Homework Statement A BJT has VA of 50 V and MOSFET has lambda(modulation length) = .02 V^-1, and has VGS-VTN=.5 What are the "amplification factors" of the 2 transistors. Homework Equations well, not sure, all i really want to know is what do they mean by amplification factors...

Please list the relevant factors needed. Or those of you who already got in maybe you should show off your credentials? I'm coming from an engineering (electrical) so it appears the work has been cut out: GPA : 2.5 Cumulative GPA in 3rd year college engineering (it was 4.0 in first year)...

Homework Statement My group in physics conducted a lab which is described below: The lab was to investigate a factor affecting the accel. of an object. We were supposed to change only one factor to see how acceleration would be affected. My group had decided to use a simple static pulley...

Hi guys, this is my first post but have read the forums for a long time - a quick search didnt bring up anything that could help me. So i was wondering if someone could please explain something to me. I have a differential equation (excuse the pictures, I don't know how to use the equation...

Homework Statement Consider the polynomial p(x)=x^6-1. (Apply over any field F). (a) Find two elements a,b \in F so that p(a)=p(b)=0. Then use your answer to find two linear factors of p(x). (b) Show that the other factor of p(x) is x^4+x^2+1 (c) Verify the identity...

For the first question, I am only supposed to find the general solution of the differential equation. 1) dy/dt = -2ty + 4e^(-t^2) dy/dt + 2ty = 4e^(-t^2) Integrating factor = e^(Integral of 2t) = e^(t^2) Multiply both sides by IF: e^(t^2) * (dy/dt +2ty) = 4e^(t^2-t) e^(t^2)*dy/dt...

Heat transfer is something I've been interested in since studying thermodynamics last semester, although during the course we never really covered anything much to do with what affected heat transfer. I can pretty easily understand that obviously having a higher surface area to exchange across...

Homework Statement Your niece is working on a unique science fair project - a clock built around a small mass vibrating on a little spring. Her prototype version is working ok, but it's running too slow. Given your experience in this course, you suggest to her that a stiffer spring should...

I'm looking for some advice: I am trying to determine the allowable stress in a lifting attachment we have had manufactured. The lifting attachment is a mild steel block that bolts to the component to be lifted with a lug to enable a shackle to be fitted; two of these blocks are then fitted to...

[FONT="Comic Sans MS"]What are the casual factors of corrosion failure?

The Scherrer equation is used to determine crystallite sizes from XRD spectra. they contain K, a shape factor, that varies from 0.89 for spherical to 0.94 for cubic particles. Usually, this is set to 0.9 for particles of unknown size. Does anyone know where we could find a table with the exact...

Homework Statement Simply these rational functions: [\sqrt{(X^2)+12}-4]/(X-2) (2-\sqrt{(X^2)-5})/(X+3) (X-1)/(\sqrt{X+3}-2) Homework Equations The only example in the book used the technique of multiplying the numerator and denominator by the function p(x) if p(x) is the function...