Properties Definition and 1000 Threads

Homework Statement In an n-player round-robin tournament, every pair of distinct players compete in a single game. Assume that every game has a winner —there are no ties. The results of such a tournament can then be represented with a tournament digraph where the vertices correspond to players...

I'm studing Gauss law for gravitational field flux for a mass that has spherical symmetry. Maybe it is an obvious question but what are exactly the propreties of a spherical simmetric body? Firstly does this imply that the body in question must be a sphere? Secondly is it correct to...

Hi, I have a question Given the function LzYilm(θ,ϕ) =mħYilm(θ,ϕ) What steps can I take to confirm that Lz=ħ,0,-ħ

Homework Statement i am studyng, for my multivariable calculus course, and i get this integral, the problem is, i don't know how the simplify the integral that way. Homework Equations i will put the integral in a very HD screen shoot, yes a litle one not the entire screen [/B]The Attempt at a...

Homework Statement Suppose A and B are vectors. Show that the object Q with nine components Qij=AiBj is a tensor of rank 2. Homework Equations A tensor transforms under rotations (R) as a vector: Tij'=RinRjmTnm The Attempt at a Solution I wanted to just create the matrix, but I don't know how...

Homework Statement http://puu.sh/nYQqE/2b0eaf2720.png Homework Equations http://puu.sh/nYSjQ/e48cad3a8b.png The Attempt at a Solution http://puu.sh/nYYjW/174ad8267c.png My main issue is with part b) and part d). I think that part b) is mostly right, but part d) is definitely wrong and...

1) My teacher said that to analyze the properties of entire crystalline solid, we just need to analyze the properties of a unit cell, which is the smallest repeating unit of a crystalline solid. 2) But crystalline solids are known to be anisotropic, i.e. they have different properties in...

I am reading Bruce N. Coopersteins book: Advanced Linear Algebra (Second Edition) ... ... I am focused on Section 10.2 Properties of Tensor Products ... ... I need help with an aspect of the proof of Theorem 10.3 regarding a property of tensor products ... ...The relevant part of Theorem 10.3...

Homework Statement Produce an infinite collection of sets A1, A2, A3... with the property that every Ai has an infinite number of elements, Ai∩Aj = ∅ for all i ≠ j, and the union of all Ai is equal to N. Homework Equations None provided. The Attempt at a Solution What I've come up with is...

We can deflect a moving electron using an electric field or using a magnetic field. In order to obtain the same deviation, when the energy we should use is higher? Or, in other words, the "electric" or the "magnetic" property is stronger?

Homework Statement A certain function ##v(x)## has Fourier transform ##V(\nu)##. The plot of the function is shown in the figure attached below. For each of these functions give their Fourier transform in terms of ##V(\nu)##. And also state if the FT is Hermitian/anti-Hermitian, even/odd...

Can anyone tell me about how temperature is an intensive property.Intensive properties are roughly those which do not depend on the size of the system or amount of matter in the system,but temperature does depend on amount of matter because it has a relation with pressure also,and pressure...

Hi every one, Can anyone please provide proprties of inconel 625 alloy? i require the following properties? 1) Latent heat of fusion 2) Latent heat of vaporization 3) Specific heat, solid 4) Specific heat, liquid 5) Specific heat, vapor 6) Density, liquid 7) Density, solid 8) Liquid-state...

A question from a physics laymen to those more advanced: if eLIGO detects gravitational waves by the difference to the combined laser wavelengths (a difference to the destructive interference pattern following curvature of space-time in each individual pathway), how is it that the lasers...

Homework Statement Either by using the properties of convolution or directly from the definition, show that: If $$F(t)=\int^t_{-\infty} f (\tau) d \tau$$ then $$(F * g) (t) = \int^t_{-\infty} (f * g) (\tau) d \tau$$ Homework Equations The convolution of ##f## with ##g## is given by...

Homework Statement An amount of water substance having a mass of 1 kg is contained in a vessel at a pressure of 1 MPa. It is heated for some time after which the pressure is 3 MPa. The volume of the vessel is 0.1 m3. Assuming no work is done by or to the substance, calculate the final...

I am having a hard time finding information that I can understand on de Sitter space. One main question I have is if it is eternal. Also, does the recent discovery of gravitational waves have any impact on it? I've seen mentions of de Sitter space in multiverse theories.

Hi So I am learning about sets and I wanted to know if these definitions was correct, specifically the properties of sets under operations, and I had a question. please help. The closure property: A set has closure under an operation if the result of combining ANY TWO elements under that...

Common sense would suggest that all observed properties in a linear system would likely be linear. The response of a pendulum to an impulse can be computed, and for multiple impulses, the individual solutions can be superimposed to obtain the resultant solution. Qualitatively however...

Homework Statement Two well-insulated rigid tanks of equal volume, tank A and tank B, are connected via a valve. Tank A is initially empty. Tank B has 2 kg of Argon at 350 K and 5000 kPa. The valve is opened and the Argon fills both tanks. State 2 is the final equilibrium state. The temperature...

My understanding through most of college has been that friction occurs because of the surface roughness of two materials rubbing together; the smoother you make the surfaces, the less friction you have. Upon further research I can see that is not the entire case. Another problem for me is that...

Can you tell any physical properties of a Messier object by its name, such as M1 or M42? I know this may sound like a silly question, but I am doing an Astronomy GCSE and I thought that maybe there was a better way of just looking it up online and remembering it. Thanks.

I understand that a black dwarf is a white dwarf which reached thermal equilibrium with the surrounding space, so it's very cold and do not radiates anymore (at least, not in the visible wavelengths). But I'm curious about its other properties. From there, some questions: 1. If it is so cold, is...

Hi, To begin with, I am not a native English speaker and have very limited knowledge regarding magnetic fields and thus want to apologize in advance for probable use of incorrect terms. http:// In the picture above, M represents a magnet. S is a material that is not allowed to be affected by...

Homework Statement Mn+2 has a higher magnetic moment than Fe+2 but practically Fe+2 is ferromagnetic right? So more magnetic right? Homework Equations ## μ = √ (n(n+1))##[/B] The Attempt at a Solution For the Mn ion it comes to be √35 and for the ferrous ion √25 So yes Mn+2 is more...

I'm trying to get an intuitive feel for Minkowski space in the context of Special Relativity. I should mention that I have not studied (but hope to) the mathematics of topology, manifolds, curved spaced etc., but I'm loosely familiar with some of the basic concepts. I understand that spacetime...

Hello! (Wave) I want to show that if $\rho(x,y)$ is a metric on $X$, then $\sigma (x,y)= \min \{ 1, \rho(x,y) \}$ is a metric. I have thought the following: $\rho(x,y)$ is a metric on $X$, so: $\rho(x,y) \geq 0, \forall x,y \in X$ $\rho(x,y)=0$ iff $x=y$ $\rho(x,y)=\rho(y,x) \forall x,y...

As a undergrad future scientist, in my free time I like to do some programming to get some practice as my education programme doesn't include it, but it is a useful skill to have. I am programming some type of roguelike game, so I can get away from graphics and focus on procedural generation...

Let us define a relation a on the set of nonnegative real triples as follows: (a1, a2, a3) α (b1, b2, b3) if two out of the three following inequalities a1 > b1, a2 > b2, a3 > b3 are satisfied. a) (3) Test a for Transitivity and Antisymmetry We call a triple (x, y, z) special if x, y, z...

Homework Statement A star cluster contains star HD1, which has an apparent V magnitude of 7.3 mag and a B − V colour of 0.5 mag. Its continuum emission peaks at a wavelength of 557.3 nm, and this star is known to have a bolometric correction of −0.4. (a): Calculate the distance to the star...

I'm looking for a description of properties such as colour and spin. Because we are warned these words do not describe the reality of the particles. i.e. an electron is not 'spinning' up or down. They are just handy words. Labels. So quarks are not 'up' or 'down'. When I read that...

Homework Statement A copper rod of length l_0 at 0 C is placed on a smooth surface.Now the rod is heated up to 100 C.FIND THE LONGITUDINAL STRAIN DEVELOPED ? The Attempt at a Solution What I did : strain = delta l/ l_0 = l_0 alpha(coefficient of linear expansion) delta T/l_0...

Why to calculate the mechanical properties of a material should be used Sigma bands?

In another thread I was arguing that leaving aside reasonable physical conditions that are added independently from the math of GR, [wich I consider basically the EFE, the EP, general covariance and the metric and curvature tensors in the neighbourhood of points that solve the EFE in the context...

I hope the topic of this post is not too philosophical to be appropriate here. Some recent discussions on PF have helped to crystallize my view of how classical GR treats singularities, and black hole singularities in particular. However, I'm not sure to what extent these ideas generalize to...

Homework Statement Consider hermitian matrices M1, M2, M3, M4 that obey the property Mi Mj + Mj Mi = 2δij I where I is the identity matrix and i,j=1,2,3,4 a) Show that the eigenvalues of Mi=+/- 1 (Hint: Go to the eigenbasis of Mi and use the equation for i=j) b) By considering the relation Mi...

Sorry, my question was simply too long and complex to fit into the title. Basically my question is this. In the middle ages Iron was treated by repeatedly hearting it up and hammering it on the anvil. As far as I understand this, this would create a more dense material. So I asked myself...

Hello, I can not find the way to solve the following equation: sum of k^2 f(k) from k=1 to n. In Particular, k^2 * (1/k)

Homework Statement Am I doing this right? The question is... (ab) + (a' + b') = 1 Homework Equations (a) Commutative a · b = b · a a + b = b + a (b) Associative (a · b) · c = a · (b · c)...

I don't understand the requirements for a red-black tree. Using this photo: https://upload.wikimedia.org/wikipedia/commons/6/66/Red-black_tree_example.svg One of the 5 required properties is that all leaves are black. A leaf is a node without a child, so that would only be 11 and 15 two links...

QUESTION: In general: when a flow is considered steady does that mean all properties of the flow are steady? Or: can a flow have steady and unsteady properties?

I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need someone to help...

Just checking (while trying to prove the Schwarz inequality for $<f|H|g>$, I know $ <f|g>=<g|f>^* $ please confirm/correct : If $ \psi=f+\lambda g, \:then\: \psi^*=f^*+\lambda^* g^* $ Is $ <f^*|g>=<g^*|f>^* $ and $ <f^*|H|g>=<g^*|H|f>^* $ (H hermitian)? Is $ <f^*|H|g><g^*|H|f> = -...

Hi Can anyone point to me a reference where orthogonal properties of confluent hypergeometric functions are discussed? Navaneeth

This maybe a general science question but I'll put it here. When we say that an element has so-and-so properties, how do we know those are the only properties it has. For example:- We say an element has properties like electron affinity, electro-negativity etc. How do we know these are the only...

I don't know why this is possible To use delta function properties( sifting property) integral range have to (-inf ,inf) or at least variable s should be included in [t_0,t_0+T] but there is no conditions at all (i.e. t_0 < s < t_0+T) am I wrong?

In my book following points have been given 1-due to conservative nature of electric field ,the electrostatic field lines will not form any closed loop.I want to ask how forming a loop makes if non conservative? 2-Field lines have tendency to contract in length (longitudinal contraction )like a...

Homework Statement I'm a bit at a loss - I thought the last row with '1's would be useful, but it just gave me: (b2c - bc2) - (a2c - ac2) + (a2b - ab2) and bc(b - c) - ac(a - c) + ab(a - b) But then it is a dead end. I am probably doing something stupid again ... Any help appreciated.

I am studying this in the context of group/ring theory, ideals etc. So I post it here and not in the number theory section. 6. Suppose gcd(a,b)=1 and c|ab. Prove That there exist integers r and s such that c=rs, r|a, s|b and gcd (r,s)=1. One of my attempts: From gcd(a,b)=1 there exist s',t'...

Elements like Silicon, Germanium and Gallium can be used to make solar cells but platinum can not be used. What is the exact reason? Is it related to threshold frequency? Tried to search for the answer through many sources, but couldn't get a satisfactory one. Your views and answers are really...