Applications Definition and 627 Threads

Homework Statement The Attempt at a Solution \left[ \begin{array}{cccc} 1 & 0 & 5 & 2 \\ -2 & 1 & -6 & -1 \\ 0 & 2 & 8 & 6 \end{array} \right] \sim \left[ \begin{array}{cccc} 1 & 0 & 5 & 2 \\ 0 & 1 & 4 & 3 \\ 0 & 0 & 0 & 0 \end{array} \right] From the RREF it is...

Homework Statement Homework Equations none The Attempt at a Solution Two possible locations on the coordinate axis for the terminal arm of angle A: Two possible values for the measure of angle A and the related acute angle: Can someone please tell me if I did this correctly?

Hello! I want to learn about the mathematics of General Relativity, about Topology and Differential Geometry in general. I am looking for a book that has applications in physics. But, most importantly, i want a book that offers geometrical intuition(graphs and illustrations are a huge plus) but...

Homework Statement Can someone explain what regenerative breaking is? Homework Equations no equations required The Attempt at a Solution I understand that this occurs with electric cars. It uses the idea that the electric motor and the electric generator are so similar. But how does the...

Homework Statement Homework Equations no equations required The Attempt at a Solution ok so i collected some information about bob-sledding, but i don't know if I've identified the role that friction plays for the athlete and their shoes in the sport, and I've only come up with one...

Homework Statement [/B] Homework Equations d = v1(t) + ½ a (t)^2 Newtons second Law The Attempt at a Solution ok, so i know that once the puck leaves the stick, the only force acting on it would be the frictional force (1.0 N). From reading other forums, i guess i need to calculate the...

Currently pursuing a degree in Mechanical Engineering, and commonly ponder about how much of this semi-abstract math I will actually be using the workplace. I have heard real-world ME relies pretty heavily on linear algebra and differential equations. As far as advanced Calculus goes I...

why single phase induction motor is commonly used for low HP rather than integral HP like 1,2,3HP... i understand that single phase gives low power...but say you have designed such that your motor delivers 10HP for rated voltage and current...why such single phase machines are not common?can...

I did some light searching for Jerk and didn't find much, maybe I can be directed there if my question has been asked. I was tasked to find some real world differences between the two in my Dynamics class. It's not really homework, so I didn't post it there. I'm looking for a discussion from...

Homework Statement In the figure particles 1 and 2 of charge q1 = q2 = +24.00 × 10-19 C are on a y axis at distance d = 18.0 cm from the origin. Particle 3 of charge q3 = +17.60 × 10-19 C is moved gradually along the x axis from x = 0 to x = +6.47 m. At what values of x will the magnitude of...

Is taking complex analysis before graduate school apps a "make-or-break" deal if one is looking to apply for theory? I am currently deciding whether to take it junior spring or defer it to senior spring. As it has come up in my research, I have studied some of it, but I'm wondering if it must be...

So I am having difficulty with the following problem; Determine the currents in the various branches. So I went ahead and assigned I names to the various branches and drew in flow directions to help me visualize the problem better. From there I created the following three equations...

I'm a sophomore physics major and I've been filling out some REU applications, but I have an INC (incomplete) grade from last semester because I couldn't take a final due to medical reasons. The class was completely fine and I likely have an A-/B+, but I have to wait to take next semester's...

Homework Statement A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=−d. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. Let the charge...

It's often said that modern electronics is based on quantum mechanics. As far as a I can tell however, detailed understanding of quantum mechanics isn't needed to, say, design a transistor. Although quantum mechanics sets a lower bound on the size of electronics, this would be obvious...

I have a bit of a dilemma with graduate school applications that I feel many people here would have encountered. Part of the applications requires either a CV or a resume, and I find that the list of my expierences, educations, presentations and awards is a little to short to be considered a CV...

I've been working on my SR book http://www.lightandmatter.com/sr/ and its presentation of a suite of related mathematical tools such as the Levi-Civita tensor. This is aimed at the upper-division undergraduate level, although there are optional sections at the end of some of the chapters that go...

First of all, this is my first post here, so hello everyone! Great to be a part of this online community! Secondly, to get to the point of the thread, I have recently applied and have been accepted to two master's programs in Germany, specifically Biomedical Engineering and Nuclear Applications...

When applying to graduate school, I consider it significant that I'm applying for external fellowships (since, in theory, it means the grad school may not have to fund me). Presently on my CV, I have a section for "national awards", and there I list Blah blah blah award 1 blah blah blah award 2...

Hello, I really need a good book on ordinary differential equations with applications on Quantum Mechanics, as I will be attending a course on QM but I do not have the proper mathematical background that is needed.

Can anyone give me a little background on why $$L^p$$ spaces are a thing? What types of problems were they developed to solve? Where they just a sort of generalization of the Euclidean norm? The Analysis class I'm taking right now has very little context to it so I feel like I am learning random...

Homework Statement Homework Equations see picture above The Attempt at a Solution I can follow most of the steps, but not all. I got confused with finding ##|\frac{dz}{dt}|##. It is easy to derive ##\frac{dz}{dt}## from ##z##. Normally, I would square the two components of ##dz/dt## and...

Homework Statement Let l, w, and h be the length, width and height of a rectangular box. The length l is increasing with time at at rate of 1 m/s, while the width and the height are decreasing at rates 2 m/s and 1m/s respectively. At a certain moment in time the dimensions of the box are l=5...

A tower 125 feet high is on a cliff on the bank of a river. From the top of the tower, the angle of depression of a point on the opposite shore is 28.7 degrees. From the base of the tower, the angle of depression of the same point is 18.3 degrees. Find the height of the cliff. (Assume the cliff...

Hi, I am currently pursuing my masters in Nuclear Engineering and my graduation is in Instrumentation Engineering. I am interested in Nuclear Instrumentation and Control engineering and currently I have taken coursework also regarding the same. Could you please suggest me universities where...

I have heard that in my next semester, our quantum mechanics teacher will be giving a great emphasis on difficult integrals with the most of them having to do with gamma functions. Does anybody know a book(or any other source) that I can learn about and practice gamma functions integration...

I have a question inspired by a recent thread that I did not want to hijack (https://www.physicsforums.com/threads/distributions-on-non-test-functions.831144/) I realize that weaker requirements on the space of test functions results in a more restricted set of distributions. For example, if...

Hello! I am a master student, and I am about to start working on my master thesis, which, in my counrty, is a substantial work of 6 months which usually involves original research. I will be supervised by two professors of Statistical Mechanics, who have many research interest. In these days...

Hey y'all! I am taking my first linear algebra course next semester and we are using Bretscher's book. I have heard some pretty awful things about the way it is laid out, so I would like to hear your thoughts on the text. For some background information I have completed Calculus 1-3 (using...

The tangential velocity of a body rotating about the centre point "O" is given by v=w.r, where w is angular velocity and r = radius. give that the vectors w = 3i - 2j + 7k r = 2i + 5j - 3k a) Calculate the magnitude of velocity b) the vector product in the form i+j+k So far I have the vector...

Hello, I will begin my junior year in MechE next fall. So far it's been an enjoyable degree and experience. the problem is, I tend to be more interested in the science itself of what I'm studying, rather than its applications. Which makes me sometimes think that I should have majored in a...

I am a third year undergraduate physics major. Often time people ask what I want to do with physics, and I didn't really have an answer for them. I guess I always assumed I'd pursue a masters degree in some kind of engineering, but I want to be able to do something that I'm passionate about...

I am a third year undergraduate physics major. Often time people ask what I want to do with physics, and I didn't really have an answer for them. I guess I always assumed I'd pursue a masters degree in some kind of engineering, but I want to be able to do something that I'm passionate about...

I am researching ways linear algebra is integrated into aerospace engineering (I know its alot). I am looking for specific ways. Any help would be appreciated.

Homework Statement Homework Equations the equation is given in the question The Attempt at a Solution i tried replacing the 2/3 pi rad as the cos argument and i obtained 2. but the mark scheme says that the position is 3cm above AB. in the next part, we have a phase diff of 4/3 pi and i...

Learned this identity a year ago randomly studying for adv biomechanics and was wondering if there were real-world applications for this outside of mathematicians appreciating the formula.

I need help solving all three parts to this question, never seen a question regarding applications of differentiation that is this hard before! All help is much appreciated.

What are the applications and advantages of Electroslag welding (ESW) process ?

Hi I was wondering if there any observations that have only been described using the Riemann Zeta function? What would it mean in physics to assign a divergent series a finite value? Thank you Edit Sorry I overlooked a thread just posted that asked about this so this might need to be deleted.

Can anybody name some real world applications of group theory? I would be particularly interested to hear any uses of cyclic groups to solve everyday problems one could encounter.

Hello, I am currently an undergrad mathematics major who is still unsure in exactly what field of mathematics to study post grad (if I get such an opportunity). All the subjects I have taken so far seem equally interesting, and I could see myself engaging in post grad study in each of the areas...

Homework Statement You've attached a bungee cord to a wagon and are using it to pull your little sister while you take her for a jaunt. The bungee's unstretched length is 1.3m and you happen to know that your little sister weighs 220N and the wagon weighs 75N. Crossing a street, you accelerate...

Hi, I'm in second semester in physics at the university, sometime ago i take a course in "Solar Energy" in edx.org which I successfully passed, that encourages me to invest some money in almost home producing energy applications like, small solar kits and power banks, now I'm with all the things...

I'm miserable at my current school. I want to make my chances at being accepted elsewhere as high as possible. I take a lot of online courses through edX and Coursera, and I've done the verified certificate thing for a few of them, and some of them were targeted at seniors and graduates. I'm...

Given a set of points in space, there is a nice little method (using adjacency matrices, but this detail is not essential to the question) to determine how many possible paths there are from one point to another. Fine, but are there any real-world applications for this?

Hi, We have covered underdamping, overdamping and critical damping in study, but I am unsure of a question, The question says "define the type of system that would give this response" (and there is an image of an underdamped wave). Are there systems that WANT to have underdamping?

Can I use a thermocouple which has a temperature difference of 1 degree to generate current to run a very small led.

Two questions, both about adjacency matrices (graphs). The first, specific, the second, general. [1] I read: "Consider a directed graph and a positive integer k. Then the number of directed walks from node i to node j of length k is the entry on row i and column j of the matrix Ak..." [where A...

Homework Statement Six of the electrons from benzene C6H6 form a delocalized conjugated π-bond. We will model it as a "particle on a ring" with ring radius a, particle (electron) mass m, and "moment of inertia" I = ma2. After obtaining the energy diagram, we will fill in these 6 electrons...

Attached below is a link to an article on Grothendieck, who is regarded by some as the greatest mathematician of the 20th century (he is certainly one of the greatest if not the greatest). In the article, it states that his work has been applied to cryptography, genetics, and robotics. Can...