Applied Definition and 1000 Threads

This is a thread for complex number problems in applied mathematics. 1. Prove that: 1 + cos x + cos 2x + ...cos (n - 1)x = {1 - cos x + cos (n - 1)x - cos nx} / 2 (1 - cos x) = 1/2 + [{sin (n - 1/2)x}/2sin (x/2)]2. If a = cos x + i sin x, b = cos y + i sin y, c = cos z +...

I really need your help for a solution to these exercises. I will be so grateful.1/ passengers arrive at a train station according to a poisson process of rate lambda per minute and trains depart station according to a renewal process with inter-departure times uniformly distributed between a...

Hello everyone, I have trouble understanding how to apply the BBP formula, i.e. actually compute the n-th digit of pi. \pi=\sum\frac{1}{16^{k}}(\frac{4}{8k+1}-\frac{2}{8k+4}-\frac{1}{8k+5}-\frac{1}{8k+6}) where the sum uses k from 0 to ∞. I've read a few explanations how to adapt it...

Two independent random variables X and Y has the same uniform distributions in the range [-1..1]. Find the distribution function of Z=X-Y, its mean and variance. =Using change of variables technique seems to be easiest. fX(x) = 1/2 fY(y) =1/2 f = 1/4 ( -1<X<1 , -1<Y<1) Using u =x -y...

Two independent random variables X and Y has the same uniform distributions in the range [-1..1]. Find the distribution function of Z=X-Y, its mean and variance. =Using change of variables technique seems to be easiest. fX(x) = 1/2 fY(y) =1/2 f = 1/4 ( -1<X<1 , -1<Y<1) Using u...

Random variable X is distributed according to Gaussian distribution P(x)= (1/sqrt(2πσ^2) * exp(- (x-μ)^2 / (2σ^2) ) 1. Calculate its first three moments 2. What are the distributions of Y= X+b; Z=σX; W=X^2 P(x)= (1/sqrt(2πσ^2) * exp(- (x-μ)^2 / (2σ^2) ) so 1.1. the moment of first...

Find characteristic functions of 1. The random variable X uniformly distributed on[-1..1] 2. The random variable Y distributed exponentially (with exponent λ) 3. The random variable Z=X+Y

Homework Statement Scroll down for pic related Determine the tension in the cable P that will give the 50 kg block a steady accelerationof 2.0 m/s^2 up the incline. Homework Equations Where am I going wrong? The Attempt at a Solution Let Fa=force applied I calculated the...

Hello everyone. I'm majoring in applied math and physics and was considering going for a MS in math and later if I can a PhD in physics. I'm not sure if I should pursue a MS in applied or pure math because I will be getting a BS in applied math. I'm not sure what would be the difference...

Hi all, I am hoping to get some advice re: my career path. I have lurked these threads for a bit and I can see there's quite a bit of wisdom here, but I am hoping to get some particularly tailored to my situation. I am a 2nd year grad student at a top-10 applied math Ph.D. program, but I am...

Greetings Physics formus, I am a high school learner currently in my final year of schooling. I have decided that pursuing a double major in math and computer science would be a good option for my tertiary studies, as, my passion lies in the Mathematical Sciences. However, I have not decided on...

Hello, If I have a shaft that has a section area of .0562 in. sq. and a material yield strength of 60KSI. And I will have the force applied at the top of the shaft pushing down. The shaft will be in a cantilever configuration where the force will be applied .125" from the base of the shaft...

I have completed a bachelor in electrical engineering. Because of my interest in physics I have decided to move to applied physics and I have been accepted for a Master program ''Physical Energy and measurement engineering'' from a prestigious technical university in Europe, of course with some...

Hi all, First of all to give a background about myself I am having a bachelors in Electronics and Comm Engineering from India with 2+ years of experience in control systems, embedded systems and vlsi. I would like to pursue my masters in applied physics and would like to go for either...

Homework Statement The horizontal surface on which the block slides is frictionless. If F = 20 N and M = 5.0 kg, what is the magnitude of the resulting acceleration of the block? The force is applied 30° to the horizontal. Homework Equations F=ma The Attempt at a Solution I began...

Homework Statement The mass of the two objects on both sides if the pulley is given. So is the acceleration to start moving. It's asking to find the applied force. How do I do that? Mass of 1- 4.5kg Mass if 2- 3.0 kg How much force must u exert to get M1 to accelerate at .25m/s2 Homework...

Homework Statement A spring of mass m, stiffness s and length L is stretched to a length L + l. When longitudinal waves propagate along the spring the equation of motion of a length dx may be written pdx second partial derivative of n with respect to t = partial derivative of F with respect to...

Homework Statement Calculate the magnitude of the force supported by the point at A under the action of the 2.5-kN load applied to the bracket. Neglect friction in the slot. AB = .17 m B to force = .16 m angle between vertical and BtoForce = 24The Attempt at a Solution I found the x and y...

So I've been stuck on this type of question, please help! You are pushing horizontally on a 3.0 kg box of wood, pressing against a wall. If the coefficient of static friction is 0.60, how much force must you exert on the block to prevent it from sliding down? Homework Statement What is...

I just started at my four year university, after doing my AA at a community college simply to save some money and get my gen ed requirements out of the way as much as I could. However, the university I started at has a language requirement in order to graduate. I only have to take 2 semesters...

If I was to major in physics in college, could I get a job in applied physics? If yes, would I need my PhD?

I'm trying to decide what major would be best for being a quant or an analyst on Wall Street. I know this is a route a lot of applied math majors go, but is that also true for Econ? I've always thought of economics as more philosophy and business oriented, while math is math! I recently got...

Do applied physicists do scientific research and experiments to create new technology or do they do more engineering type work? I guess the real question is do applied physicists do work that more resembles pure physicists or engineers?

Hypothetically: A pair of electrodes with a small insulating barrier between them. Transport is via tunneling through the barrier. You apply a small bias, and measure conductance because there is tunneling current. At 0 K, can there still be tunneling? Is it possible for a tunnel junction...

Dear all, Can the conservation of mass principle be applied to the mass flow rate of a refrigerant in an ideal refrigerator system? And what about for an actual refrigeration system? I'm reading the principle here but can't work it out. Says that it applies for steady flow, but I assume...

Hi all. I am marking GCSE paper that I did myself. There is 1 problem that I do not seems to understand. Please help me. Thank you very much. Homework Statement Daniel pulls a 3kg box up a slope from rest as shown (Attached) Given that the average friction of a slope is 2N and the speed at...

This week Skydive Phil released an outstanding 40-minute special on quantum cosmology. It's different. What makes it different from, say, slick science cinematography you get on "Nova" and commercial channels is the Skydive team's "realness"---their intelligent probing interview style. Phil's...

Homework Statement Solve the equations of motion ##\ddot{y}= \omega \dot{z}## and ##\ddot{z}= \omega (\frac{E}{B}-\dot{y})## Homework Equations The Attempt at a Solution Integrate the first equation to get ##\dot{y}=\omega z + c_1## and plug into equation 2: ##\ddot{z}=\omega...

Crap. I couldn't get everything i wanted in my topic title. Anywho, I'm wondering which masters degree would be better for a career in machine learning / smart data while still keeping other - traditional options available? I would love to do a double major and earn both graduate degrees but...

Hello, I'm a European EE/Engineering physics undergraduate (something of a mix of those two) trying to figure out what to major in. Up until now my main topic of interest has been nanotechnology. Now I'm not sure that's a good idea because of the seemingly small job market where I live. I want...

High School is over and I'm finally going to University to study Physics this Fall. In the past few years, choosing that course with the intention of concentrating more on theoretical aspects of physics has always been dead set on my mind. However, lately as I was analysing the course...

I'm a rising senior and I am looking to finalize the colleges I am applying to. Right now I plan on majoring in Applied Mathematics, probably with a minor in Econ. I'm an Indiana resident, so obviously I'm leaning towards IU and Purdue just in terms of cost. But my parents would love to move...

Does anyone know of any REALLY good derivations of the grand canonical partition function(T,V,μ) from the hamiltonian. I am using the graduate level thermodynamics book by tester and there appears to be some algebric manipulation that occurs going from the ensemble to the partition function...

Hi Everybody, I am in my final year of high school, and want to enrol with the University of the Witwatersrand in Johannesburg, South Africa next year, and I will hopefully be going for a Bsc in computer science, math and physics. However, I have been wondering a couple of things over the...

Hi all, I'm currently double majoring in applied mathematics and physics and minoring in computer science. I'm about 2 years away from graduating and I am starting to freak out because I don't know what I can do with my majors and minor. I don't know what kind of internships I can do with my...

still one school year left , I think it will be "applied physics" Well anyone would normally pursue an engineering career in my school , especially in the "General sciences" section . I first considered doing Astrophysics , but having seen how incompatible it is with what I thought it would be...

I'm sorry if this has been discussed before. I've searched for a thread about this topic, but I haven't found anything that directly answered my question. I will be studying engineering physics at Ohio State this fall and I'm not entirely sure if I will need graduate school to get the most out...

Dear all, I basically did my bachelors in electronics and communication engineering and currently working as embedded design engineer(2 yrs of experience). However I felt that I really wanted to do physics for my graduation. But I am confused between applied physics and pure physics. How does...

So, I am majoring in Applied Mathematics at Fresno Pacific University and was just wondering what sorts of jobs I could get with my major. My school career services is kind of useless to be honest and I've already talked to them... I was just wondering what you all thought? I have always wanted...

So I am currently going to be entering my 3rd year of an Applied Math BS at Fresno Pacific University (I know its a nobody school but I am there for athletics). I have always wanted to do engineering but my school does not offer it. I was wondering if having an Applied Math BS and getting a...

What's the Difference B/n Applied vs. "Pure" Maths? Hello. I'm a soon-to-be new university student and am taking this summer to learn all I can about various subjects, majors, and career opportunities. I've been reading up a little bit this week on math majors and have come across what...

Homework Statement Using my classnotes and what the professor did, it is not clear to me as how I must tackle the following problem. I'm given the potential ##V(x)= V_0 \left ( \frac{x^2}{2} -K \right ) e^{-a x^2}## where a>0. I must estimate via Ritz method the ground state energy. I must use...

Dear, After three years from graduation, I applied for master degree on Physics in strong University in Japan. After those three years I almost forgot all basics. Even the parts which I remember I have problems how to deal with its math. Not to mention that the program witch I graduated...

In a recent course on special relativity the lecturer derives the Lorentz transformation matrix for the four vector of position and time. Then, apparently without proof, the same matrix is used to transform the EM field tensor to the tensor for the new inertial frame. I am unclear whether it...

I see there have been many postings about this topic in this forum. The formula for this relation is Luminosity = Mass^3.5 Taking logs of both sides we get log (lum) = 3.5 * log (mass) and using a little algebra we find that the exponent (3.5) should equal log (lum) ÷ log (mass) I have...

Hi all! To keep this short(ish), if in the same time frame I could obtain a master's in physics, would it be better to instead get a double major in physics and applied math while taking 5+ graduate courses in physics? The more I think about how applied math interests me, and how useful I think...

Dear forum members, I am trying to solve the following system of equations. ψ(x,y,z)=∫∫ψ(x',y',z)K(x',y',z)dx'dy' z=f(ψ) What I do is to solve the integral equation with a Monte Carlo method, evaluate "z" and do a loop until convergence. My question to you is whether it is...

Homework Statement A 900kg car is moving on a level road at 80km/h. If the brakes are applied, what is the distance it will take to stop if the coefficient of kinetic friction between the tires and the road is 0.45. Homework Equations F=ma D=vt Vf=Vi+at ... Really basic Kinematics...

Okay, so, the college I will probably attend is more of a applied physics program. If I want to go on to study particle physics or even theoretical physics would I have a chance if my bachelors is in applied physics? I talked with the head of physics and he said they have a combined math...

I'm currently reading an electromagnetism textbook and it has said that Gauss's theorem can only be applied on: Concentric spheres Concentric cylinders Parallel planes In these cases the "symmetry allows the integrals to be evaluated" In class we only ever really use co-axle cables...