Mathematics Definition and 995 Threads

I am in high school and I don't know much math. By AI I mean Artificial Intelligence. And by AI algorithms, I mean like algorithms that can allow a program to distinguish object from object in a picture, what key word to use based on data from the past, "learns" you and other objects, and etc.

What I mean by this is the following: -know what the inside of a closed shape (defined by an equation) is -recognize objects in a picture (2d plane?) using parameters -know the relations of a certain variable in a group -a system in which the input changes the output but at the same time changes...

I'm currently a double major in applied mathematics and physics, but I'm not exactly sure what I will be doing after I graduate. I will graduate in about 2 more years give or take, and I just started my 4th year in college (I transferred into UT so things are taking longer but this was my...

Hello! I am a sophomore with a major in microbiology; my future goal is to attend the graduate school with virology/medical microbiology program and become a virologist specialized in the influenza & VHF viruses. Currently, I am taking the Organic Chemistry I, Immunology (graduate-level), and...

Sorry, This isn't a homework question. I'm just having trouble understanding some of the notes I've taken down.I'd really appreciate if some of you could help me understand this. ________________ 1/3 is that number with the property (1/3)(3) = 1 ... what is 7^(-1) mod 10? 7^(-1)...

Hi everyone, Please refer me to a very advanced mathematical physics reference that has applications in theoretical particle physics. I have seen the book Howard Georgi in Lie Algebras in particle physics but want more advanced ones. Any ideas would be very appreciated.Paul

Hello. Would web development be useful towards my career in applied mathematics ? The full story: I'm starting my MS in applied mathematics in one year. I would like to pick up a skill that would be useful to my career. I came across this program and seems quite interesting...

I am trying to visualize the correct learning curve for mathematics. Currently I know a Calculus 1 and 2 and basic linear algebra. But as far as post-secondary math courses go, that is all I have taken. I want to advance my knowledge of mathematics to the point where I can look at math...

Hello everyone! I'm new here. I'm starting a self-study of more rigorous mathematics. My background is I have a B.S. in Mathematics(class of '14) and have had rigorous classes but they were, in my opinion, sub-par and not taught as rigorously as they should have been. Truth be told, I...

You have probably heard many times that the closest analogue of the Nobel Prize for mathematics is the Fields Medal. But today I realized that it is not. There is a much closer analogue - the Abel prize. In particular, both the Nobel and the Abel prize are about $1.5 million, while the Fields...

Hello everybody! I am going to be heading to university in the spring and I am having a lot of trouble deciding on my potential major. I plan on attempting to experience research in both areas while I'm in college, but not knowing exactly what I want to do is killing me. Since the beginning of...

Hello people, I just joined the physics forum and it's great to see that they're other physics enthusiasts on the internet! The reason why modern physics is appreciable for me is that it creates new areas in mathematics like this for example brought up from Michio Kaku... "String theory...

Hi, In many quantum physics books I see questions such as "what is the spin-orbit interaction in this case?" Sorry if this seems like a dumb question, but what do they mean by this? Do they mean the ENERGY of the spin-orbit interaction or something else? Also, could anyone give (or write a...

Hello! I am a rising sophomore with a major in microbiology. Although my main interest is in the microbiology and biochemistry, I am also deeply fascinated by the atomic/quantum physics, relativity, thermodynamics, and statistical mechanics. I will be taking those courses later on. I wrote...

As I wrote above, together with mathematics, historical analysis has always been a passion of mine and when possible I have tried to combine the two. Recently, while I'm writing a historical text about the First World War, I had to deal with one of the most complex events of the nineteenth...

Iam reading Julian Havil's book, The Irrationals: A Story of the Numbers You Can't Count On. In Chapter 3 Havil is writing about progress in the eighteenth century in determining the nature of $$\pi$$ and $$e$$ through the use of continued fractions. He writes (pages 92 - 93): Can someone...

Hello! I am a rising sophomore with a major in microbiology. I wrote this post to seek out the advice from you in terms of double majoring with the mathematics. Although my primary interest is on the microbiology (especially the virology), I am also deeply interested in the fields of number...

Hello everyone, I'm very tempted to learn more about physics but the problem occurs when I'm about to choose from two books, one regarding physics and the other maths only. What exactly should I do in order to become good at physics? Should I go through the maths book (which I think is...

Hello. I would like to have some suggestion about how to make university life "more productive". I will make this clearer: 1. in the university I will attend (and pretty much in every university in my country) there are only 30-40 students of maths and 40-50 of physics; 2. it has been verified...

This is my first post. Please pardon me if I am breaking any forum rules. While going through Wikipedia I came across this image. How is this image created?I mean what equations are generally used creating this charts? What mathematics knowledge would I require to comprehend this pattern or...

Hello! I am currently using Apostol's Calculus volume 1 book, and going to take multivariable calculus-linear algebra-differential equations course on Fall semester that uses the volume 2 book of Apostol. Although the Apostol book is very outstanding, I feel like some of the topics are very...

Hello, I have just finished my second year of a theoretical physics degree (MPhys) at the University of Nottingham in the UK. I now have three months with relatively few commitments, and would like to learn some additional maths that would be useful, but am unsure what topics I should study...

Hi everyone, I am a third-year electrical & computer engineering student trying to find out what career is best suited to my interests. In the first two years of my degree, the courses I enjoyed the most were programming, linear algebra, calculus, differential equations, complex calculus, and...

Hello, I want to study a system, and I have realized that all variables in it are dependent. There is no independent variable. So everytime you modify the input, you get an output but at the same time that output modifies the input itself, there is an important feedback. So the system...

Hello again PF! I think I ask excessively often here so I tried my best to search in google. The result I got was this: http://superstringtheory.com/math/math1.html Well, that appears as all the math there is (no offense to mathematicians)! Likely the field of super string theory is the most...

I'm going into second year next fall, but even after a whole year of college and after getting exam results I'm not completely sure about what major(s) I should do. I'm 90% sure I will do physics only but I'm afraid of regretting not sticking with pure maths. The reason I'm reluctant to double...

I am a junior doing a major in electrical engineering, with a minor in mathematics (maybe a double major). The university I am going to doesn't have a masters program for electrical engineering though. I am also a non-traditional student (in that I am in my late twenties, and didn't start...

http://sumo.stanford.edu/pdfs/smt2013/calculus-problems.pdf NOTE: this is not homework problems. I am trying to understand how to prepare for these problems. I don't get how to do number 7. Can you please tell the at least 2 ways you could solve for C? And solve for number 6? It really...

What can I do to learn modern mathematics? Calculus and discrete mathematics were made over a hundred years ago. They are ancient. So what books do I need to read to learn modern mathematics?

Besides trigonometry, calculus, differential equations, linear algebra, and discrete mathematics. Can you give me a list? And maybe links to where I can learn them?

Hello! I'm currently going through The Classical Theory of Fields - Landau, Lifshitz and I needed a bit of help on some of the math going on in a certain section. The book can be found here https://archive.org/details/TheClassicalTheoryOfFields On page 27, they give the action as...

It's mainly designed for those who want to teach at a junior college or whatever. I plan to stay in oil and gas, and I'm going to take: I'm not concerned about analysis, because I did well in undergrad and have a strong interest in it. However, I took Cal III in 2008, so I'm a bit rusty in it...

Pease could give me a website that explains mathematics. I want to understand and master mathematics at graduate level. I maths, I do maths excercise but I don't understand it very well. Thank you

I love aspects mathematics, especially those which when I can apply it to real situations. However, when mathematics becomes so abstract like aspects of precalculus/calculus it becomes faint for me, at times. How do you keep it fresh, interesting and rewarding? I am a computer science major and...

Hi My main question is about applying to Mathematics grad school. I had done my Bachelor Degree in Biomedical Engineering and completed back in 2010. I am looking to go back to school but I don't BME (let alone engineering) is for me. I want to go into Mathematics, it was what I had wanted...

So for all of the people who are/used to be in mathematics club, what were your experiences? How was your club organized? Because I am starting a mathematics club, and I want it to be fun. So, what got you interested into math club? What did you learn/do in math club? How did you guys...

Hello, I've just been accepted and will begin as an undergraduate in physics this fall. I'm planning on taking classes, in addition to the required courses, concentrated in particle physics, QM, field theory, etc. Also, I took courses on Set Theory and Topology, and fell in love with what I...

So the time I have is 9:00 - 2:00 on saturdays. But I don't want to have the lecture day for my mathematics club too long. But I want it long enough so that the whole club can prepare for future mathematics competitions. So I need enough time for the entire year to teach the whole club...

I'm a Math and Mechanical Engineering double major who is considering graduate school for Math in the future. If I have always been interested in epidemiology and combining my love of math with my love of engineering, should I get my phd in applied math? Thanks!

Will it be easier to find a job as a Math professor in future years or harder? I've always wanted to be a Math professor, but recently it seems as if there are more PhDs than academia spots...

Its been a long ride. 4 years ago when I started college, I started as a finance major. I excelled in all of my classes but found the material to be a little boring so I changed to economics. I continued to get stellar grades and even now have nothing but A's in all of my economics courses. I...

Im applying to several universities(in korea) and in i have to declare my major at the time of application. There is no doubt i want to pursue my career as an astrophysicist and i want to take up physics, but just incase I am not able to get physics major, it is required to select 2 more...

So, I am currently in an Advanced Calculus class (ie. elementary analysis of calculus). Our end project is to write a 5-6 page paper on a topic of our choice and relate it back to the class. A lot of the other students are economics majors so they are picking economic topics. I'm a physics...

I apologize for the vague title, but I'll attempt to explain better what I mean here. First of all, my background: I've already completed all of my high school math courses including calculus, and I've been considering to pursue math at university/college starting in September. And yes I...

Hello, I'm currently a 1st year 2nd semester California CC student planning to transfer to UC Santa Cruz for math (specifically Computational Mathematics). I was wondering if anyone here has any experience of the department or anything that you wanted to share about it. Thanks.

Ok! So I know Newton and Leibniz invented Calculus independently and today a major part of maths requires calculus. So what mathematics was done BEFORE Newton?? (I mean the type of research.) Any history book suggestions would be priceless. Also there are methods of integration taught like...

Hi everyone, After completing an undergraduate engineering degree, I walked away with a feeling that all I was taught was to crunch numbers, lacking an intuitive understanding of solution mechanisms. Now, with spare time, I got the desire to re-learn my upper mathematics curriculum. One of...

When Isaac Newton discovered the theory of gravity, which is very simple, yet fundamental in its premise: The product of two masses and some scale factor divided by the square of the distance between them gives the force of said masses in Newtons. Am I right to assume Newton only knew of Algebra...

Homework Statement part b (question 1 ) , my ans is -3/2 ... but the ans given is 2/3... i don't know where's my mistake... http://imgur.com/ZCrnKA8,bu5bblS http://imgur.com/ZCrnKA8,bu5bblS#1 thanks in advance! Homework Equations The Attempt at a Solution

Hello I have been struggling with this problem for a whole day, and finally admitting that i can't solve it, so i ask for help :smile: I am familiar with the escape velocity , and the speed needed to brake into interplanetary space - the Newton cannonball thought experiment. But i was wonder...