Math and physics Definition and 207 Threads

TL;DR Summary: A mathematical wizard wishes for more sunlight for a pair of homeowners who have limited space for new windows. There are four walls in a small house with one room. One window is on each of the four walls. A mathematical wizard comes and promises the homeowners that he can make...

I understand that $$\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s}=\frac{1}{1^s}+\frac{1}{2^s}+\frac{1}{3^s}\cdots$$ I understand what an infinite series is. I know n goes on to infinity and that s is the function input. I just don't know how the heck this finds primes? Can someone explain? I have...

I am self-studying quantum mechanics from Griffiths' textbook and some other sources. I have come across this derivation shown in the photo. I've taken all three major calculus courses for physics, linear algebra, ODE, PDE, Complex Analysis, etc. However, I do still struggle with rules for...

Anybodys whos read the book Second year of Calculus, from celestial mechanics to Special relativity, what are your thoughts on it? Would you recommend it? What faults does it have? Any information about the book would be helpful.

Here to compare answers, help other students.

Hi, in the previous semester, for one course I typed out notes using LaTeX and then annotated those notes, and for other courses I annotated the ebooks and solved problems in a notebook app separately. To save some time, I'm gonna go with the second option, but I want to be sure that I'm doing...

I am just a layman without any physics background, so I am basically looking for some knowledgeable input.

So, I am going into my second year in my physics-math double major. For our program, not much specialized math is specifically needed. I love theoretical high energy physics, have been attending seminars in institutes, and been trying to do some reading on my own (it is hard without the math...

People very often say the collapse of the wave functions in the discussion of quantum mechanics, then how to write this process in math form?

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...

Hey Everyone, This is a little project of mine. I'm including a daigram of it - top view -> down. This is part of a larger system. Consider a fence gate made of poles. In my diagram Point "A" in blue is a non-moving vertical pole. Point "B" red is a pivot point for an arm containing all...

So, I am a 4th year physics student (undergrad), and I will do my master, then hopefully my PhD on theoretical physics. In my university, we take 1 year QM/Classical Electrodynamics/Classical Mechanics in terms of physics then the second year we pick the classes we want to take, I will take QFT...

My hypothesis: The number of red giants is equal to the number of stars times the given fraction f. The number of stars in a solid angle omega, is given by the density distribution of stars in the Galaxy times the volume of the observed solid angle: #RG = f*n(r)*V where V = (d^3*omega)/3. I...

Male in my twenties, enjoying hard problems in engineering, mathematics, and physics.

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...

In my introductory modern physics class, I was asked to compute the Taylor Series for exp(-ax^2) about the value x = 0 to second order in x. I am unfamiliar with the what "exp" before the function means, despite having approximated functions with Taylor Series before. I think there was some gap...

I do not know much about this, please help. My truck seat back cushion is 2" thick. Truck A is ~5,700 lbs from google. 2011 f-150 super cab 6.5ft bed. Truck B is ~5775. 2015 GMC Yukon xl slt. If truck A is stopped and braked and truck B hits truck A going 45-55mph creating a force of...

$$ v_1= 115km/h $$ $$ v_2= 60km/h $$ solution: $$ \frac {v_1 + v_2}{2} $$

Hello! I'm new here. I'm on my first year of physics at the UNAM, in Mexico, and I want to now which books and resources would you recommend me to 'survive' in the career, not just in physics, but also in the mathematical formalism for subjects such as geometry, abstract algebra, calculus...

Guys, please look at the following question I am aware of how to take a dot product of 2 vectors whose i,j,k components are given. My issue is with both integrals. I feel it should be '-dx ' rather than dx because x is decreasing , same as in '-dy'.and I'm taught that if x is decreasing then...

Some message here

Hello! I am new to the differential version of classical physics, and I am trying to work how to derive kinetic energy from some pre-assumed equations: Assume that we know: ##\ddot{z} = 0## and ##m\ddot{\textbf{r}} \cdot \dot{\textbf{r}} = 0##This results in $$\frac{1}{2}m\dot{r}^2 = W =...

Just a thread to discuss ideas and questions of physics. I plan on becoming a theoretical physicist after I graduate, and feel that enriching discussions here will help further that cause.

My studies relate with construction engineering and environment improvements and I have a passion about combinatorics and exact sciences. I'm always in touch with the novel things that pop out in science related media. I don't like when people start make politics upon science findings. I'm the...

TL;DR Summary: help with math for physics undergraduate degree - advice needed Hello! I'm studying physics for my undergraduate degree. I have a question, and if anyone can help I'd truly appreciate it. I have problems with the math part. I love physics (concepts, research, findings) but i do...

"The Operation Combination Problem" In the "Operation Combination Problem," we explore the space of possible solutions, much like we explore the different possible topologies for the universe. The problem consists of finding all possible combinations of mathematical operations that, when...

TL;DR Summary: Using vector functions how can I find the minimum average velocity (something greater than 11.86m/s) of a ball if the launch angle is unknown and if I have a point that the object must travel through (11.86, 3.47)? In my assignment, I developed a function for a lob shot...

Im prototyping a machine to lower liquid from a height using a chains and sprockets. Essentially liquid will fill at top, be lowered over a distance of 4.8 metres then emptied at bottom. The liquid needs to be lowered at a slow pace due to resistance on the output shaft, I am considering...

Hi! Suppose that someone had solved an old but open problem in the great area of mathematics and physics, for instance, dynamical systtems, algebraic geometry and differential equations. Based on your broad experience, what are the best scientific journals to submit such a discovery? In...

I know that I’m supposed to use proportional reasoning, but where does electric field even fit in? For whatever equation, I know I’m supposed to see how increasing the voltage by either 2 and 4 volts related to electric field. If electric field is the same as “U”, then wouldn’t it be...

I'm having a hard time understanding some concepts and would really appreciate some help(not super smart so I need some things basically dumbed down). In my physics lab we're going over Newton's Second Law. There's a statement in the lab papers I don't understand. It states "As you should know...

help me in my problem set qs

Is there any specialize articles that talk about how Astronomy can help learning Math and Physics? In particular, how observational astronomy can help in the learning process of Math and Physics.

Hi everyone, After completing high school, I will enroll this fall at a 3 year technical school in China studying industrial robotics, but I still plan on getting into an undergrad physics program at a later time. (Some colleges can allow a transfer to their undergrad program after technical...

Here is the question: Here is my answer

How do I compute the second derivative of an one dimensional array?

Summary:: What calculus books do you recommend? Does Thomas Calculus include all the calculus topics? Hi! I'm a 10th grader and preparing for physics olympiads. I'm planning to learn calculus this summer, i self learned prior required topics before calculus (trigonometry, logarithm etc.) ...

Someone told me about it

Hey! I want to study physics and math, and eventually, I would like to get a Bachelor in Physics. I quit university about 5 -ish years ago, an Engineering major...I wasn't a good student and don't really remember anything. A couple of years ago I discovered a big interest in Physics and...

Hi, I have the following problem, maybe someone relates. I am about to finish my Bachelors Degree in Physics and must say it was a very unenjoyable road. I started it because since forever I was fascinated by the "great" ideas trying to explain reality that lie behind physics, i. e. Quantum...

What are they, those that discuss textbook materials rather than learning outcome in particular?

I am in the last year of my high-school with an aspiration to do a double-bachelor in Physics and Math. I am not sure if I am capable of doing so (I am not the smartest), but it is really one of my dreams to study both subjects, so I will try. However, sometimes I experience some difficulty in...

Hi, I was practicing some problems on the magnetic field and the electromotive force, when I got stuck on these two exercises. Could you help me figure out how to proceed? In the first problem, I tried to find the magnetic field flux by multiplying the induced current for ∆t and R. Should I now...

I am a person who likes to think deep and can't keep himself from delving deeper into concepts. Even though math is the subject in which I outshine my counterparts, it is physics that I find more fascinating. Also I feel that physics gives math a sense of direction to work upon. But I am a...

A certain field has a singularity at the origin, and the divergence of its curl is zero at any point outside the origin, but surface integral of the curl is not zero in the area of any closed surface containing the origin. So how should the Stokes theorem related to this field be expressed at...

Hello there, I need some advice here. I am currently studying intro physics together with calculus. I am currently on intro to oscillatory motion and waves (physics-wise) and parametric curves (calc/math-wise). I noticed that in the oscillatory motion section, I need differential equation...

I will be taking intermediate mechanics next semester, and am a bit concerned about potential gaps in my mathematical knowledge. Long story short, I used to be a physics major, switched to electrical engineering, and then decided to double major after a semester in EE. The issue is that, as a...

Hello. Do physicists and mathematicians visualise math formulas or specialised math or physics words? Words like metric space, Lindelof space, metrizable space, Gamma function, harmonic function, mathematical limits, series, power series, Laurent series, phase space, symplectic space...

Why was that concept necessary ?, I know there's also a gravitational equivalent of this concept I couldn't find anything on google Thanks Daniel