Applications Definition and 662 Threads

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...

Lay person here... If there was a new metal that was discovered with extremely high electrical conductivity and corrosion resistance but no thermal conductivity, what do you image its industrial uses might be?

what is Stanton Number? and its use/application in convection heat transfer coefficient?

I've been researching on Damped Oscillation (in vibrations) for a few days for a research paper, however I couldn't find any applications. I would be very thankful if anyone can tell me about its applications.

I am a math student, but I was hoping I could find advice on this forum. In my third year, I retook a second-year stats course simply to improve my grade (the only time I've ever done this). I also ended up getting a work study position that same semester focusing on Bayesian statistical...

Im not entirely sure what section of PF this post should be in so I apologize in advance if this is not in the correct section. I don't know that much graph theory or the various fields that it can be applied to, but I do know that graph theory can be used in social media etc by using dynamic...

what are some applications of logic gates? (NOT, AND, OR, NAND, NOR, XOR) also what is a binary selective mask

Hi there, everyone! I'm sure this question has been asked many times before, but I did not really find any similar posts, so I hope you guys will bear with me! I am teaching myself what could be categorized as Calculus 1, using Adams' "Calculus: A Complete Course" along with "Schaum's 3000...

Hi guys I just want to make sure that my understanding of potential difference is right or wrong I just want someone to tell me whether my understanding is right or wrong. I know that when we move a charge if it's attracted to another charge it gain potential energy and when we leave it it lose...

Hi pf, I have been reading about back EMF and just had a few questions. I found this article on wiki (http://en.wikipedia.org/wiki/Counter-electromotive_force) and the last paragraph talks about the effects of back emf when you plug a vacuum cleaner into your wall. It says that you can notice an...

Greetings fellow PFers, I just have a few questions about graduate school applications. I have a reasonable application as far as LoRs, grades, research experiences, etc. but I think there's one thing that may be my downfall: extracurricular activities. I've done a few small things like...

Hi, first post here. I'm having some trouble with contour integration. Basically here's the question: Contour Integral of ∫ 1+z dz (z-1)(z2+9) There are three cases: l z l = 2 l z+1 l = 1 l z-\iota l = 3 Is each case a straightforward application...

Just as we have orthogonal vectors/vector spaces/etc., we can have orthogonal functions/function spaces/etc. I'm trying to apply these concepts to physical processes. Here's a general idea of what I'm doing: Suppose you have a physical quantity you are trying to measure, ##F##, and it depends...

Why are perfect numbers important? What is the best way of introducing these numbers to a first course on number theory? I could not find any application apart from the relation to Mersenne primes. Are there any other applications of perfect numbers?

Why are perfect numbers important? What is the best way of introducing these numbers on a first course in number theory? I could not find any application apart from their connection to Mersenne primes. Are there any applications of such numbers?

so i know I've asked this question before but id really like a step by step walk through with a few questions. starting with $\int_{\pi/3}^{\pi} \ \sqrt{1+\frac{4}{x^2}},dx$ i know I am not showing any work but id like to see how to this can properly be done. thanks wait never mind i think i...

4. find the centroid of the region bounded by the given curves. $y=x^{3}$, $x+y=2$, $x=0$ 5. a gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom, 5 ft wide at the top, and 2 ft high. it is placed vertically in the canal, with the water extending to...

hi. have a test comin up and i really need help with these questions. 1. find the length of the curve $y=2\ln\left({\frac{x}{2}}\right)$, $\pi/3\le x\le\pi$ 2. use simpson's rule with $n=6$ to estimate the length of the curve $y=\sin\left({x}\right)$, $0\le x\le\pi$ 3. find the area of the...

It's easy to think of mechanical devices that are underdamped (pendulum, guitar string) or critically damped (automatic door closers, various control systems such as cruise control). But what is a good, simple, pedagogical example of a practical mechanical device that is overdamped, and for...

As you can tell from my username, I am OBSESSED with cars. This obsession is what drew me to apply to a university to study mechanical engineering. I had struggled in high school phyiscs, it wasn't until I got the hang of it in college in my statics and dynamics course that I started to really...

By using the averages of high and low tide levels. The depth of the water in a seaport can be approximated by the sinusoid d=3.2sin0.166pi(t-2.5)+14.1 where d is the depth and t is the hours after midnight. if a ship needs at least 12 m of water in a seaport to dock safely, how long could the...

Homework Statement Is the magnetic force the Earth exerts on a compass needle greater than, equal to, or less that the force the compass needle exerts on Earth? Explain. Homework Equations None. The Attempt at a Solution I attempted to analyze the forces as if they behaved as...

hello everyone, i am looking for a comprehensive link for the topic above as i want to do some research on various applications of x-rays in solid state physics. its a personal research but i have some materials but i still feel i need a whole lot more. Any form of help would be appreciated...

Quantum teleportation let's you send quantum information over a classical communication channel by using previously-shared bell pairs (you can send 1 qubit by "consuming" 1 bell pair and sending 2 classical bits). I was wondering what sorts of hypothetical applications this would have...

I'm looking for a native app of Google Scholar on my iPhone. However, I can't find out the best apps.

I have covered the proofs of the laws of quadratic reciprocity (the Legendre and Jacobi symbols). However this treatment of quadratic residues has been pretty dry. Are there any real life applications of the quadratic residues?

Relevant Information A language is a set of strings over an alphabet A string is a finite set of characters from an alphabet An alphabet is a finite non-empty set A DFA is a deterministic finite state machine A subset of it's states are accept states A string is accepted by a DFA if the...

What is the general procedure for using Taylor Series to evaluate: i) sums eg.\sum_{n=4}^{\infty }\frac{n(n-1)2^n}{3^n} ii) limits eg. \lim_{x\rightarrow 2}\frac{x^2-4}{ln(x-1)} iii) derivatives eg. Find f^{(11)}(0) of f(x)=x^3sin(x^2) iv) integrals eg. \int_{0}^{1} \frac{1}{2-x^3}dx

Hey! I'm a complete newbie to integral calculus (and well, to math in general - but I'm trying to learn!) and I have a bit of a problem. I already get the feeling that the solution is ridiculously simple, but my brain just isn't making the connection. Homework Statement Given are two...

Basically part-time graduate students are paying their own way through grad school. At the least they probably aren't receiving much if any assistance from the university. Because of this, are university departments less strict on the criteria for admitting a part-time student? If i put...

So we've been doing fins in class. I understand that the formulas for fin effectiveness and efficiency are similar, except the area used in the denominator (Ac i.e. area of cross-section for effectiveness and As i.e. surface area for efficiency). However, my question is while designing a...

Do grad school admissions for math typically involve interviews? I can't find this on the official websites, but it seems like some do from a few friends I talked to. If so, what are they like? Does it mainly involve talking about what sort of research you are interested in doing?

Hey Everyone! I was wandering what applications (if any) advanced math topics like topology, functional analysis, abstract algebra, etc. have in Mechanical Engineering. Thanks a lot!

Hi buddies, i am working on very high frequencies antenna applications. can anybody updates me about best suitable substrate material which exhibits low losses at THz and optical band. i appreciate that.

Does anyone have any favorite applications of the acceleration four-vector? More specifically, the WP article "four-acceleration," http://en.wikipedia.org/wiki/Four-acceleration (possibly written by former PF member CH), says, "Four-acceleration has applications in areas such as the...

I have been reading posts on PF for a while, but I have not signed up until now. I am applying to graduate programs this year. I have been told I have a very strong application. I have been doing theoretical physics research for 3 years, have taken 16 graduate courses in math and physics...

Hello all, I was curious on the practical applications of representing a sphere in four dimensions. I recently had to prove that the V=∏2R4/2. I hope I was able to format that correctly. Anyways I couldn't come up with a reason to do some beyond simply proving it for proofs sake. Perhaps...

So I was looking at the wording of this question and I do not know what it means that the drum is located 4 feet above the bow. Also if the rope is being pulled in at a rate of 3 feet per second wouldn't the boat be moving at 3 feet per second at all times because they are connected?

Hey everyone, I recently learned that my certified genius weird-uncle-who-lives-at-home (IQ over 200 something, legitimate 'genius') or WULAH for short, passes his spare time by lounging around his place and doing tensor calculus. I've done some calc in 3d in college and I know that's commonly...

Hello, I am taking intro Physics and we are having a little quiz this friday. Professor gave us handouts and told us to solve them by ourselves, and then study those problems because the same problems will be on the quiz. Now, my problem is, is that I really don't understand the subject...

I have a GRE score of 6.0 writing, 170 reading, and 168 quantitative, and a 4.0 GPA. I also have 4 semesters of soft matter theory research and 1 summer of particle physics theory research. I'm applying to do theory to many schools, including MIT, SUNY Stony Brook, Stanford, Harvard, UMass...

I've just recently learned that protons do in fact have a charge, I was wondering if someone could explain this, as far as applying a positive charge, some real world examples. I've always studied current as a flow of electrons, never heard of a flow of protons before and have no idea what it...

If electrons flow on the surface of a wire, why isn't copper coated aluminum wire used in electrical applications instead of solid copper wire? It would be more cost effective

Is an injective endomorfism automatically bijective?