math Definition and 74 Threads

I found this website to share all of my self-study notes from the past year in the form of a big book! None of the work is AI-generated, and mostly comes from YouTube, Wikipedia, college PDFs and other physics/math websites online like Wolfram MathWorld or or Physics LibreTexts. Now that I am...

Just a random guy that likes doing math and physics in his spare time as a hobby.

İf ##-1+\dfrac{2}{1-x}=\sqrt 3## then find ##\dfrac{2x}{1-x^2}\cdot \sqrt 3## I can solve it with two ways: 1) directly by finding ##x## 2) Let ##x=\tan\alpha## and go on and answer is ##1.## But I need another way. Are there an another way?

In telecommunication system there's a fresnel zone, it's an area between transmitter and receiver (i'm sure all the experts in this forum already knew about that). So, in this website (Fresnel Zone Calculator - everything RF) provide a Fresnel Zone Calculator, it also tells the equation, which...

Hello, everyone! I find Physics Forums a heaven for me as I can always find what I want here. And decisions to join this group are made a long time after I first encountered the forum. I like math and physics though not talented and suffer a lot from them and nothing more comes to me. However...

I thought it would be fun to start a thread where we can share and discuss interesting mathematical puzzles. Whether you have a puzzle you've been pondering or a favorite one you'd like to challenge others with, feel free to post it here. Let's see how many we can solve together! Here's one to...

a-1 x a+1= a squared-1 Is this an established theorem or have I stumbled onto something that might get my name in the math books?

It looks like a mistake, the book writes the following: I believe (2.4) should be: ##F(\omega)=\gamma Q(\omega)+(1-\gamma)F(\omega)Q(\omega)##. I don't understand these pitfalls in books, they don't make someone to proof-read the text?! I mean besides me the reader... of course. :-D

Here to compare answers, help other students.

I can find f(0)=1 and f(1)=2 and f(7)=128. I Wonder how can I find f function?

TL;DR Summary: Wondering which of Pure Math or Applied Math would be better for AI/ML. Hey everyone, I've been on this forum a while but never posted. I essentially have the choice to major in math or applied math, and was wondering which would be better for machine learning or AI as a career.

I’m here to connect with others who appreciate the beauty of math and physics and to find support in spreading this knowledge to more people. Looking forward to learning, sharing, and growing with this community!

I am a 2nd year BSc Physics student in India. But due to a change of interests, I now want to become a mathematician. I wish to do my PhD in the TOP programs in the world. (I want an inspiring environment full of people more capable than me.) My uni doesn't allow a major switching, and I can't...

Homework Statement: Trying to understand electrical calculations in AC Relevant Equations: I = V/R Here it is :

I am trying to imporove my general maths and revisting my pre-college text books. For the above example question, my answer was 4 which is not correct as it is -4. The only difference I can see in my working is the first operation 3a^2. Here I simply did 3 x -2^2 which is -12 but in the answer...

Hello, I am looking for contest math books, problem sets, videos, etc. I'm quite good at algebra, but I'm not so good at geometry, counting, probability and number theory. I know a few resources such as aops, AMC, AIME, local competitions and a few books. It would be great if you could suggest...

Where can I ask financial math question in this forum?

I have a question about how to solve the following integral: ##\int \frac 1 {x\sqrt{3x^2+2x-1}}dx##, I know how to get the right answer (which agrees with WolframAlpha and the book I got the question from) through substituting ##\frac 1u## for ##x##, completing the square and finally doing a...

I am self studying physics as a hobby with the very broad goals of eventually learning theoretical analytical mechanics, EM, general relativity, etc. I have no specific deadlines. My two questions are: With regards to learning the required math, if there is no particular rush, is it better to...

Hello everyone, just serving up a quick introduction. I took some physics and math classes during, I believe, the Eisenhower administration (anything before 2000 is hazy). Nevertheless, due to a lack of scientific acumen, I will be a taker, not a giver, on these forums. Here's to a second...

Ok, to my question; was the step highlighted necessary? The working steps to solution are clear. Cheers.

I'm new here and new in general to online forums. I'm a middle-aged guy who has been online for decades, but I just haven't used forums or social media very much. I've always had a casual interest in math/science.

Fro phys.org "The team in California has used math to calculate the difference in time passage between the Earth and moon, and also between both bodies and the solar system's barycenter. In so doing, the team found that time on the moon ticks by at 0.0000575 seconds faster per day (57.50 µs/d)...

Hello, I am a middle schooler who likes doing math, physics, and other forms of science. This year, when school starts, I will be attending clubs such as the science olympiad and Math Counts. In a previous thread, I have asked how to study for math counts, but when I started studying I noticed...

Hello! I am a passionate math student wanting advice on how to succeed and go far in a math competition called Math Counts, a mostly word problem-based competition for grades 6-8. Anything helps! Thank you!

Glad to be back! Last time I tried to sign in, I just got the message to email the mods and didn't bother. So a new account it is! I like math.

Hello! This is a continuation thread from this one, but the question is different from the one I purposed that time, thus I'm creating a new thread. I will enter in details in what credits I do have, also the title is self-explanatory. I have done credits and this courses (I will also give the...

Hi, I am a college student majoring in math and statistics but fascinated by physics I have been reading this site for years and I am really excited to finally hopefully engage and contribute anything meaningful! Good to meet you :)

TL;DR Summary: Isolating coefficient contribution to outcome change This is a problem I've been trying to solve for almost 3 days now, without any solutions. Say we have x + y + z = 5, and x is 1, y is 1, and z is 3. We have a second equation = 2x + 3y + 4z = 17. Using the outcome difference...

Hello, everyone. Thank you for allowing me to post on your forum. I am not good enough at math to become a physicist, but I love physics and found this forum through my Google searches. Hopefully, I can learn enough here just to call myself Smith

does anyone know the derivation of the general solution of the nonhomogeneous equation shown in the image (book name: Devendra K. Chaturvedi - Modeling and Simulation of Systems Using MATLAB and Simulink -CRC Press (2010))

Hello all, Long time lurker of PGRE applicants here. Roughly ten years ago, I started my academic journey humbly at a local community college. I was a horrible student in high school who never did homework or never found interest in academics. In fact, I nearly flunked out. At the beginning...

Hello. I registered today. Maybe you can help me. How do I use LaTex in the forum for to write equations?

I'm an ordinary college student who likes physics, engineering mathematics, and electromagnetism. I'm not sure because it's my first time participating in an overseas forum, not a domestic one, but I look forward to your kind cooperation.

I learned to speak several languages other than English but, speaking math wasn't one of them; as soon as numbers and symbols are part of a task, my brain seems to revert to using fingers and toes.

I'm trying to pace myself to get up to speed with my calc and physics before going back to college. It's been so long that I don't know how much we got up to in calc I. Can someone tell me what chapter in Thomas Calculus does calc I go up to, or do they cover the whole thing?

Happy Pi Day everyone :) https://en.wikipedia.org/wiki/Pi_Day https://www.dogpile.com/serp?q=pi+day&sc=ZBfGciaK2GX310

Hi I am new member, I like to do math but I dont know everything so I hope forum will help me when I stuck!

How did you find PF?: Years ago online forums were more visible. These days they are left behind social media. I searched Google and now I am here. Why in heat transfer books Fourier's partial differtial unsteady state heat transfer equation is solved with seperation of variables but not with...

Let’s say that we know, with 95% confidence, that something is likely to occur when the Universe is between 1058 and 10549 years old. What is the statistical likelihood that it has already occurred in the first 13.8 billion years of the Universe’s existence? (1.38 X 1010 years) I know the...

I am quite interested in math and physics and keep on trying to discover new stuff. I recently learnt badic calculus and i find math cool

Covering: - New Ramsey number bounds - Aperiodic tiling discovery of an Einstein tile - Three Arithmetic Progressions

One possible end to the Universe is called vacuum decay, where a Higgs boson could transition from a false vacuum to a true vacuum state. This would create a vacuum decay bubble (known as bubble nucleation) that would expand at light speed, destroying everything in its path. According to Anders...

I wondered this when i saw that Robert Penrose its a physicist and a mathematician. If i dont do a math physics degree I wont be effective?

Howdy from West Virginia!! If you would have told me 30 years ago that I'd be researching physics and math for fun, I would have said, "Are you high.... and by the way, what is physics?!?" I'm obsessed with all things science, and tickled by all things quantum. I became interested in science and...

Hello, I am currently working on an idea for a possible future masters or PhD in cellular biology, however my idea is currently just a passion project. For it to work, I would need to learn how to predict and make a specific protein to do a specific function, in this instance I need to use it to...

Looking for online help with math and other questions.

I am a math PhD working in software/technology who is a physics hobbyist. I’ve gone through MIT 8.01 - 8.05 courses and watched and worked through a number of additional videos and problems. My interest is mostly getting exposure to more ideas through the community. I don’t plan on trying to...