Form Definition and 1000 Threads

Hi all! I'm currently watching MIT 8.04 (Quantum Physics I) on MIT open courseware. I have just finished lecture 5. In the past 2 lectures, they introduced opperators, specifically momentum, energy and position. To prove/derive (I'm not sure what the correct term is) the momentum and energy...

This extract is taken from Sean Carroll's textbook. It talks about a theory that respects the Weak Equivalence Principle but violates the Einstein Equivalence Principle. we could imagine a theory of gravity in which freely falling particles begin to rotate as they moved through a gravitational...

Consider a two-point function $$f(\mathbf{r}_{1},\mathbf{r}_{2})$$ If one requires homogeneity, then this implies that for a constant vector ##\mathbf{a}## we must have $$f(\mathbf{r}_{1},\mathbf{r}_{2})=f(\mathbf{r}_{1}+\mathbf{a},\mathbf{r}_{2}+\mathbf{a})$$ How does one show that if this is...

By physical form I mean stored chemical or actual be a physical thing you can touch. Yes I understand it already is a physical form in atoms but I mean is it possible to have a jar of heat.

Homework Statement Write the equation 4x – 7y – 14 = 0 in the form y = mx + b. Homework Equations "Y= mx + b" and "standard form". The Attempt at a Solution4x – 7y – 14 = 0 (add 14 to both sides of the equation) 4x – 7y = 14 (subtract 4x from both sides of the equation) -7y = -4x + 14...

The Higgs mechanism requires a quantum field (the Higgs Field) to permeate all space. This field has been added to the Standard Model. Is the Higgs field a "new form" of an old idea (the eather)?

Homework Statement Draw the combinatorial circuit corresponding to the disjunctive normal form. Homework Equations DNF of f(x,y,z)=xyz+Not(xy)z The Attempt at a Solution f(x,y,z)=xyz+not(xy)z =z(xy+not(xy)) Wouldn't the xy and not xy cancel out? That's my current problem with this...

Homework Statement How do I go about finding the most general form of the canonical transformation of the form Q = f(q) + g(p) P = c[f(q) + h(p)] where f,g and h are differential functions and c is a constant not equal to zero. Where (Q,P) and (q,p) represent the generalised cordinates and...

How do I go about finding the most general form of the canonical transformation of the form Q = f(q) + g(p) P = c[f(q) + h(p)] where f,g and h are differential functions and c is a constant not equal to zero. Where (Q,P) and (q,p) represent the generalised cordinates and conjugate momentum in...

Hey! :o We consider the differnetial equation $$(x-xy(x))+(y(x)+x^2)y'(x)=0$$ I have found the integrating factor $\mu (x,y)=\sqrt{x^2+y^2}$. Using this I have to find the solution of the problem in interlaced form. Could you give me some hints what I am supposed to do? (Wondering) I...

I've been looking all over the internet, can calcium and iron form an ionic bond, Gold and Radium, Sodium and Tin. If those elements happened to run into each other. Also, another thing I don't understand is why don't the atoms in my hand bond with atoms on the wall when they come into contact.

Homework Statement For each matrix A, I need to find a basis for each generalized eigenspace of ## L_A ## consisting of a union of disjoint cycles of generalized eigenvectors. Then I need to find the Jordan canonical form of A. The matrices are: ## a) \begin{pmatrix} 1 & 1\\ -1 & 3...

So looking at pictures of dwarf galaxies and how they're just an irregular (pun intended) mess and they do not have the disk shape that we, ironically, associate with galaxies despite a small minority of galaxies being big enough to have and maintain their disk shape. Like apparently the...

$$y=\sin\left({x}\right) $$ write in polar form This reduces to $$r=1$$ So that's not = plots Not sure why I can't get these simple equations

$y=x^3$ in polar form I got to this but it didn't plot ${x}^{3}$ $$r=\pm\sqrt{\frac{\sin\left({x}\right)}{\cos^3\left({x}\right)}}$$

Hey all, th easiest way to make a powdered non-salt based powder into pseudo solid form is the use of a binding agent (the way medical compounds are made into pills), how does one know what is the best binding agent for a compound r mix of compounds? Any links/table names/advice appreciated.

Homework Statement dy/dx = (x-y+2) / (x+y-2) , by using x=X and y=Y+2 , form a differential equation . Homework EquationsThe Attempt at a Solution the author gave the answer as (Y^2) +(2XY) -(X^2)+A= 0 , while my answer is (Y^2) +(2XY) -(X^2)+A(X^4)= 0 is there anything wrong with my answer?

I'm trying to calculate this limit to answer a question in Quantum Mechanics: \mathop {\lim }\limits_{{t_1} \to 0} \,\,{\left( {\frac{m}{{2\pi \hbar i{t_1}}}} \right)^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}{e^{im{{(x' - x)}^2}/2\hbar...

Hi, How could I rearrange x=x0e^-lambda t into the form y=mx+c, where y is equal to ln x and x is equal to t? Thank you in advance I tried to solve the problem myself, by taking the natural log of both sides, this left me with: ln x = -lambda t * lnx0 However, I am not sure if this answer is...

Light is electric magnetic waves alternating. But are electric magnetic waves?, What are they composed of. electric and magnetic fields ? But what are they composed of ? is there any physical part of a wave to imagine. light is energy but is that the best description to what light is. We know...

Dear PF Forum, I would like to know if LIFE in exoplanet is possible. And if it is, how? When I drove my Pastor to my mother funeral, he asked me out of the blue while I was driving my car. "Do you believe there is another earth?" My immediate response would be, in parallel universe where there...

Homework Statement my ans is lnx = (-1/y) + c (-1/y) = lnx -c y = -1/ (lnx -c ) , but the answer given is (-1/ln x )+ C , how to get the answer given ? Homework EquationsThe Attempt at a Solution

Homework Statement ##|4^{3x}-2^{4x+2}*3^{x+1}+20*12^x*3^x| > 8*6^x(8^{x-1}+6^x)## For some numbers ##a, b, c, d## such that ##-\infty < a <b < c <d < +\infty ## the real solution set to the given inequality is of the form ##(-\infty, a] \cup [b, c] \cup [d, +\infty)## Prove it by arriving at...

I posted a question about this yesterday, but realized I had made a stupid mistake in my derivation. Orbital dynamics: "The familiar arc-cosine form" That error has been corrected. I still have a deeper question. I believe this expression can be developed using the geometry of an ellipse in...

This arises in Joos's discussion of planetary motion, at the following URL: https://books.google.com/books?id=wFl2MkpcY6kC&lpg=PP1&pg=PA91#v=onepage&q&f=false I've modified the notation in obvious ways. He asserts that the following expression is "the familiar arc-cosine form": $$-\int...

Homework Statement Homework Equations[/B] The Attempt at a Solution From that point, I don't know what to do. How do I prove linear independence if I have no numerical values? Thank you.

Homework Statement 6(2x+5)^2(6x-1)^5+(2x+5)^3(30)(6x-1)^4 this is what i got from deriving (2x+5)^3(6x-1)^5 and now i have to express my answer in factored form, does this classify as factored from even though it has a '+' in it? Homework EquationsThe Attempt at a Solution

Homework Statement i was given dy/dx = -(4x+4y) / (4x+4y-2) , v= x +y . I have tried to do ( as in the photo) , but I didn't get the ans , in the last line of my working , the V and x are not separable , which part of my working is wrong ? Homework EquationsThe Attempt at a Solution

Does that mean that the electrons are moving faster or what ?

Homework Statement I was told that coshx = (e^x + e^-x) / 2 , why cosh2x = (e^2x - e^-2x) / 2 ? Homework EquationsThe Attempt at a Solution

Homework Statement Write in Vector-Matrix form then write the augmented matrix of the system. r + 2s + t = 1 r - 3s +3t = 1 4s - 5t = 3 Homework Equations The matrix to which the operations will be applied is called the augmented matrix of the system Ax = b, It is formed by appending the...

I've been thinking for awhile now, and I still don't understand how these types of black holes form, since they can't form by conventional means.

Does anybody know what the factorial form of a googolplex would be?

How can we align all the input fields of form vertically in justified position.For example like this form:

Homework Statement (a) A spherical insulating shell of radius R = 3.00 m has its centre at the origin and carries a surface charge density σ = 3.00 nC/m2. Use Gauss’s law to find the electric field on the x-axis at (i) x = 2.00m and (ii) x = 4.00 m. Give you answers in the vector form. (b) A...

Hi, I am looking for the general form of 2x2 complex transformation matrix. I have the article, that says "the relative position of a self-adjoint 2x2 matrix B with respect to A as a reference (corresponding to the transformation from the eigenspaces of A to the eigenspaces of B) is determined...

Hi, I have this integral: \int_0^∞ \ln(1+x)\,e^{-x}\,dx Is there any closed form expression for it? Thanks

I am reading David Poole's book: Linear Algebra: A Modern Introduction (Third Edition) ... I have a basic (and probably simple) question regarding Poole's introductory discussion of the vector or parametric form of the equation of a plane $$\mathscr{P}$$ (page 38, Section 1.3 Lines and Planes)...

Homework Statement The Lorenz gauge ∂Φ/∂t + ∇. A = 0 enables the Maxwell equations (in terms of potentials) to be written as two uncoupled equations; ∂2Φ/∂t2 - ∇2Φ = ρ 1 and ∂2A/∂t2 - ∇2A = j 2 The tensor version using the Lorenz gauge is, i am told, ∂μ∂μ Aα = jα 3 expanded this is...

Homework Statement The resistance of a wire (conductor) in cylindrical form is: A Disproportional with the length of the wire (conductor) B Disproportional with the square of the wire (conductor) section C Proportional with the square of the length of the wire (conductor) D Proportional with...

How many ways can the numbers 1, 2, 5, 10, 20, 50, and 100 be combined to form the number 200? This is a good example of the sort of problem that gives me trouble. Usually, as here, I have a few ideas but find it difficult to proceed because I get hung up on organizing the calculations to be...

Apart from the orientation of a compass needle and the pattern formed by iron filings, what other proof do we have of magnetic field lines forming loops?

Homework Statement [/B] 1. I've been tasked with forming a 10 x 10 matrix with elements 0, 1, 2, 3, 4, 5,... and have it display properly. 2. Then, take this matrix and make a 2d-histogram out of it. Homework Equations Here is my code void matrix6( const int n = 10) { float I[n][n]; //...

Please see attached pic. I have received a handwritten document from a physicist. I am not familiar with the equations, therefore the symbols are difficult to figure out. I have done some searches. I know the first symbol is the "time second derivative" and another symbol is the "time...

umm well that's about it

Homework Statement Write down the expanded form of the stress power SigmaijDij in the case of a general three dimensional state of stress, a two-dimensional state of stress, a uniaxial state of stress, a state of simple shear , and a spherical state of stress. 2. Homework Equations [/B]The...

Hello! In this document a solution of Maxwell's equations in cylindrical coordinates is provided, in order to determine the electric and magnetic fields inside an optic fiber with a step-index variation. The interface between core and cladding is the cylindrical surface r = a. For example, the...

Hello! I'm not sure if this is the right forum for this topic, but my question is very general, not a textbook problem or something like that :) . I work in Comsol where I have imported the topography of mount St Helens and I simulate wind flow around the mountain (as laminar flow) and also...

I am in the process of reading through The Theoretical Minimum. One of the processes it suggests is relating to orthogonal vectors, particularly representing the right (|R>) and left (|L>) spins. Common sense says they're orthogonal but I was wondering how exactly to represent the inner product...

Hello everyone, I have heard in a sminar that radiation is the highest form of entropy. Why? I was wondering too if all matter would transform at the end in radiation somehow