Applications Definition and 662 Threads

Here are the questions: I have posted a link there to this topic so the OP can see my work.

Homework Statement I have been trying to understand the actual applications and mathematics behind Einstein's Field Equations. I have watched a two hour long lecture on how they were derived and have pretty much understood it, however I still don't know how to actually "use" Einstein's Field...

Why are prime numbers important in real life? What practical use are prime numbers?

First off, I must ask if the reflection of a photon is truly an elastic collision; is it? If it is, then wouldn't that mean that there is perpetual momentum? And if that is true, then can't this momentum be converted into perpetual energy? Apparently, they have successfully trapped a...

How is knot theory involved in other fields of math? Any applications outside of math?

Hello, I am a post-doc in condensed matter theory (about to finish my 3rd year of my first post-doc) who is about to start applying for faculty positions. I am not sure who to use for my three references. Of course I will use my current adviser. Is it typical/ok to use my PhD adviser as well...

I was wondering if anyone could provide some examples of when/where the following orthogonal polynomials are used in physics? I'm starting a research project in the math department, and my professor is trying to steer the project back to physics, asking for specific applications of the...

Hello MHB, I'll soon be applying for Masters and PhD programmes in mathematics to universities in the US. I need help with my statement of purpose. I am not sure what I should put in it since I am largely self taught (in math) and have little formal research experience. (Formal research...

Are there any real life applications of linear Diophantine equations? I am looking for examples which will motivate students.

Are there any real life applications of linear Diophantine equations? I am looking for examples which will motivate students.

Here are the questions: I have posted a link there to this topic so the OP can see my work.

Homework Statement For my physics assignment I need show how Gauss's Law has been used in a modern technology, such as antennae's or telecommunications of some form. I need to be able to show some worked example equations and link it back to Gauss's Law and explain how the technology would...

I have two questions! General: A uniform circular ring of charge Q and radius R is located in the x-y plane, centered on the origin as shown in the figure. #1 What is the magnitude of the electric field, E, at point P located a distance z above the center ring? I came up with kQ/(R^2 +...

Since there are tons of people here who're good reviewers what 's you take on this little book ?is it good to use it for physics ?or does not explain things deeply enough?look up the amazon page https://www.amazon.com/dp/0486660974/?tag=pfamazon01-20

I’m searching for a book about the applications of electromagnetic radiation. A more specific topic I’m interested in is radio antennas but I’m searching for a book concerning more than 3 different applications (eg X-rays, microwave ovens and radio antennas). It should include equations and the...

Case 1: An airplane should not exceed upper limit horizontal velocity while on takeoff roll(or even during taxiing on certain roads).V-Rotation(VR)is an indication of the maximum horizontal velocity,a nose-wheel can handle.Some people claim that nose-wheel has an upper limit to normal reaction...

can anyone tell me the applications of radiation pressure? i have manged to find out one application i.e in solar sails but still my instructor is demanding more applications. i have also found an abstract of an article its about Adiabatic electron thermal pressure fluctuations in tokamak...

First off let me say that I am not interested in discussing whether the LHC is a worth while project. I believe human beings are curious by nature and that learning new things to satisfy that curiosity fulfills a human need just as real as any other. What I am interested in is discussing...

Hello, I learned both calculus and integral calculus a little while ago and my classes did not contain a lot of applied calculus (almost no physics or finance). I was wondering if there is a good ressource about the the different applications of calculus (with the math if possible). I am...

Homework Statement I'm almost done writing a paper on Gauss' Law and for my final body paragraph I want to include some interesting applications of Gauss' Law. I mean applications as in what has Gauss' Law helped to create or invent- something relatively tangible. Homework Equations...

I have a circuit-diagram for a train which in the final stages converts the power to a 3-phase AC voltage (IGBT) that is the excitation for the motors in the train. However, right before the converter module there is a power inductor. I have looked through some literature and on the internet but...

Homework Statement A force of 2 lb stretches a spring 1 ft. A 3.2 lb weight is attached to the spring and the system is then immersed in a medium that imparts a damping force numerically equal to 0.4 times the instantaneous velocity. Find the equation of motion if the weight is released from...

The motive was to find the tangent.. But I can't seem to find it.. when I plot the graph to this yperbola, I just CANT figure out how to proceed! HELP! PS: This question was in exams today.. If the question is missing some info, please mention -.-

Hello all! I recently read The Universe in Zero Words, a book about the history and influence of important equations. In it, it said that Newton's Laws have made possible the launching of spacecraft s and the construction of tall buildings. With the spacecraft s, I might guess that he was...

1.Well this isn't a specific homework problem, I just need a quick idea to use for a paper. Our linear algebra professor is giving us a 50 point paper project/report that has to do with the applications of linear algebra in the field of study we have chosen to pursue. I would like to do...

Author: Nouredine Zettili Title: Quantum Mechanics: Concepts and Applications Amazon Link: https://www.amazon.com/dp/0470026790/?tag=pfamazon01-20

Homework Statement a region that resists a body of water follows the curve y=.3x^2 from 0<=y<=240 using water density of 1000 kg/m^3 and g of 9.8 m/sec^2 Homework Equations 0 to 240∫g(rho)(240-y)2(sqrt(y/.3) The Attempt at a Solution 9.8(1000)(2)(240^(3/2)(292.199-.730297(240)) i...

Author: Gerald B. Folland Title: Real Analysis: Modern Techniques and Their Applications (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) Amazon Link: https://www.amazon.com/dp/0471317160/?tag=pfamazon01-20 Prerequisities: Calculus, linear analysis, complex...

I applied to the University of Alberta in Canada for engineering studies in the fall of this year. I always felt like a lot of people make university applications out to be a big deal in which you need crazy marks approaching 90% and further in order to get in. I always listened to what they...

Applications: garage door openers: 40.0 , standard cordless phones: 40.0 to 50.0 , baby monitors: 49.0 , FM radio stations: 88.0 to 108 , cell phones: 800 to 900 , Global Positioning System: 1227 to 1575 , microwave ovens: 2450 , wireless Internet technology: 2.4 to 2.6 . Which of the...

Author: James Brown, Ruel Churchill Title: Complex Variables and Applications Amazon link https://www.amazon.com/dp/0073051942/?tag=pfamazon01-20 Table of Contents: Preface Complex Numbers Sums and Products Basic Algebraic Properties Further Properties Vectors and Moduli Complex...

Author: Otto Bretscher Title: Linear Algebra with Applications Amazon Link: https://www.amazon.com/dp/0136009263/?tag=pfamazon01-20 Table of Contents: Text Features Preface Linear Equations Introduction to Linear Systems Matrices, Vectors, and Gauss-Jordan Elimination On the...

Homework Statement Show that the area of two triangles with the same base and height can be approximated arbitrarily closely by the same set of rectangles, differently stacked. See attachment for picture! Homework Equations Use method of exhaustion (NOT proof by exhaustion). The Attempt at...

Any feedback will be appreciated. I live on a semi-rural property and the owner charged me with a real-world problem involving hydrostatics. On the water pump, we currently get only 11 psi of water pressure. His goal is to get 30psi. His plan is to get a 2500 gallon water tank and let...

Author: William Feller Title: An Introduction to Probability Theory and Its Applications Amazon Link: https://www.amazon.com/dp/0471257087/?tag=pfamazon01-20 https://www.amazon.com/dp/0471257095/?tag=pfamazon01-20 Prerequisities: Table of Contents for Volume I: Introduction: The Nature of...

Author: Erwin Kreyszig Title: Introductory Functional Analysis wih Applications Amazon link https://www.amazon.com/dp/0471504599/?tag=pfamazon01-20 Prerequisities: Being acquainted with proofs and rigorous mathematics. Rigorous Calculus and Linear algebra. Level: Undergrad Table of...

I came across this piece of news, about how researchers have found a way to repel electric charges away from a surface: http://phys.org/news/2013-01-metal-surface-repel-electric.html I was thinking that perhaps it could be useful for more than just particle accelerator experiments. Could...

I am curious what the nonlinear bernoulli equation is used to model. Is there a certain topic or context where it shows up often? Can any suggest some references for more info? I am reviewing some ODE stuff for an upcoming exam and would really like an intuitive feel for the equation and its...

How many applications should I put out there? This is my 1st time doing an REU, so I'm not sure how everything works exactly. I know they want transcripts, but it cost money to get my official transcripts from my school, so do I just go until I have a few, or do you apply to atleast a dozen REU's?

Hi, Would anyone be willing to read my statement of purpose for my graduate school applications and give me some feedback? I wanted to stop in my academic resource center to have it looked at this week, but the writing center was all booked. I'd prefer not to post online, so if there's...

Hello Everyone! Suppose $f(x)$ can be written as $f(x)=P_n(x)+R_n(x)$ where the first term on the RHS is the Taylor polynomial and the second term is the remainder. If the sum $\sum _{n=0} ^{\infty} = c_n x^n$ converges for $|x|<R$, does this mean I can freely write $f(x)=\sum _{n=0} ^{\infty}...

Hello folks, I am new to this forum. I am trying to find out which modern day games or sports apply the 'division of stakes' or 'problem of points' ? A brief description of 'division of stakes' is as follows The problem concerns a game of chance with two players who have equal...

Hi Guys~ I was wondering if anyone had any suggestions for applications of the Kelvin-Stokes Theorem. Recall that the Kelvin-Stokes Theorem states: http://upload.wikimedia.org/math/0/4/4/04402b2d910114267bffa0e030445af6.png (Check Wikipedia for further explanation) Obviously one could...

So in high school my teacher would like to always talk about how useful quadratic equations are in a diverse set of circumstances when using math to measure and calculate real life phenomena, but he never really mentioned any real world applications outside of a few abstract word problems. So...

Homework Statement so i want to prove that an application is bijective y \geq 1we're looking for an x\geq-2 : y= f(x) anyway at the end i have lx+2l=\sqrt{}y+1 the teached said x = \sqrt{}y+1-2 without studying the other case Ps: the +1 is includedi nthe square root Homework Equations...

At my university the program for a B.S. in Physics does not require students to take a senior thesis course, but I have been told it is recommended for people who want to go to graduate school in Physics. I'm not sure if I want to take the course because I have no idea what I would write the...

What are the applications of Cayley-Hamilton Theorem? Thanks a lot

Hi, I'm looking for an aerodynamic code to model a transonic (say around M=0.8) wing for some basic structural sizing and performance estimation. I'm hoping to use the MATLAB based VLM code Tornado. It has an inbuilt Prandtl-Glauert correction option. I realize that this is technically...

I apologize for the simplicity of this question. I am not a physics student but am an aspiring author and am developing a fictional story outline that will include applications of resonance (specifically the ability to move, levitate, or destroy objects using resonance). I am trying to stay as...

Sorry for this elementary question, but I'm just trying to avoid making a mistake that will lead to a bigger problem. I'm trying to change out a water valve in my garage. The little old lady that lived here before me pulled a little too far into the garage with her car... (I'm guessing). The...