Systems Definition and 1000 Threads

Hi, I was attempting a question about Hamiltonian systems from dynamic systems and wanted to ask a question that arose from it. Homework Question: Given the system below: \dot x_1 = x_2 \dot x_2 = x_1 - x_1 ^4 (a) Prove that the system is a Hamiltonian function and find the potential...

Hi, I was doing some practice problems online for dynamical systems and came across the following question about isoclines. It left me with 2 questions that I hoping to get some insight to. Question: 1. What are isoclines? (I have tried doing an internet search, but the results don't help me)...

Homework Statement:: Can someone explain the finite number of equilibria outcome of the Poincaré-Bendixson Theorem? Relevant Equations:: Poincaré-Bendixson Theorem [Mentor Note -- General question moved from the schoolwork forums to the technical math forums] Hi, I was reading notes in...

Computer languages handle the scope of variables in a precise way so that if one symbol, such as "k" is used in different contexts, the program keeps these separate. When sophisticated human beings re-use symbols in writing mathematics, they can keep things straight, but I don't think they...

https://ioesolutions.esign.com.np/notes/text-notes-show/Control,-Audit-and-Security-of-Information-System Here are what I have researched but both of these don't cover what are information system audit steps. Then here is sth that I am not sure of...

I have been seeing quite a bit of news on Gravity Batteries, and am curious about the actual energy generated from the stored GPE ? I know GPE = mass x height x gravity h = 50 ft m = 6000 lbs g = 32.2 ft/sec^2 GPE = 9,660,660 joules = 2.68 KWh But what is the actual energy output from this ...

See for example Ternary computer

We have a set of N spins arranged in one dimension that can take the values $$s_i=\pm 1$$. The Hamiltonian of the system is: $$H=-\frac{J}{2N}\sum_{i \neq j}^{N} s_i s_j -B\sum_{i=1}^{N}s_i.$$ where $$J>0$$, B is an external magnetic field, and the first sum runs through all the values of i and...

Title says it all. I am interested in studying the physics complex systems and nonlinear physics, however i find it very hard to find a good program as it seems this area of study is not the most mainstream of them. I found out about Max Planck but still want to know if there are other strong...

I'm reading the https://www.phys.uniroma1.it/fisica/sites/default/files/DOTT_FISICA/MENU/03DOTTORANDI/TesiFin26/Urbani.pdf at paragrph 4.6.2 "The interaction term". They write a right hand side: < f(na,nb) f(nc,nd) f(ne,nf) > and they want to use a symmetry, for example they assume that...

I have come across Cartesian, Polar, Cylindrical & Spherical Coordinate Systems so far and was wondering if someone could tell me which are the uncommon systems used in physics which everyone says that they exist but no one explicitly mentions. Is there a "standard reference" or are they just...

eg. For a ball in free fall (ignoring air resistance) there is only one force acting if the system is just considered to be the ball. It seems necessary to go to the system which includes the Earth for identification of the reaction force to be made. Is there any rule for how big a system must...

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If you go to "The Abel Prize Interview 2016 with Andrew Wiles" on YouTube, there is a statement made by Andrew Wiles beginning at about 4:10 and ending about 4:54 where he mentions there are some new number systems possible where the fundamental theorem of arithmetic does not hold. I don't...

Prove that if a system's transfer function is not proper (order of numerator greater than order of denominator) then the system is not causal.

The standard reference for open quantum systems is The Theory of Open Quantum Systems by Breuer and Petruccione, which seems well-written but it lacks exercises, as do all the other textbooks I googled. Does someone have a recommendation for a textbook on open quantum systems with problems to...

The Noether's theorem for finite Hamiltonian systems says that: My question is: If I know a symmetry how can I write the first integral?

I am writing software, and I want it to be compatible with all operating systems. I have searched some sites, and I have decided to use Bookman, Georgia, and Tahoma. They seem to be default for windows, but I cannot say the same thing for Mac and Linux or other operating systems. What are the...

I am hoping this forum may be a good page for this question. Not sure where else to post. I have been asked if I can write a user GUI to control a system that we build--the system is made with the fairly common electronics board designs and PIC MPs and presently is controlled from a...

The equations of variable mass systems are usually deduced from some very informal argument. It is so at least for the books I know. So I tried to construct a formal proof based on the continuous media equations. Criticism, remarks etc are welcomed. Let ##D\subset \mathbb{R}^q## be an open...

We know that, the singularity of the Schwarzschild metric at ##r = 2M## can be removable via coordinate transformation to Kruskal-Szekers . Can we apply a similar argument to the Kerr metric? If so, what's the name of this coordinate system?

Hey all, Lime here. I've been getting into HHO for a while, and I think I almost have my DIY generator up and running (waiting on eBay 18650 batteries). I was thinking a fun little project is to play around with a few concepts with my new found combustion source. Anybody here know a good way to...

Summary:: Fugaku's supercomputer is 442 PetaFlops fast, what can we simulate with it? So the most powerful supercomputer in these days is 0.4 exaflops fast. I assume we can simulate precisely the interaction between simple atoms, small molecules but... What is the limit? Could we simulate a...

If we prepare a macroscopic system (something like Shrodinger's cat) in a known quantum-mechanical state and we let it evolve for a very long time completely isolated, for what I understand the position of all it's particles will become more and more spread in space. But if the evolution of the...

I am looking for an example of a classical system without time reversal symmetry. I would appreciate any help.

What are the practical purposes of studying complex systems found in nature? And applying statistical methods to them etc.

It seems that all celestial systems are in different plates, e.g. solar system, milky way galaxy, clusters of galaxies...although different systems might have their own plates, it seems to turn out that small systems are always on the plate of a bigger system...so is the whole universe on a big...

Read the book and conducted research on the internet. Came to conclusion that this was an isolated system because the girl was being accelerated by gravity but answer is non isolated. Can someone please help me grasp this concept better.

Hi! My name's Logan Knox and I'm aspiring to eventually understand the physics and nature of the quantum world in its totality, and I have a LONG way to go, but I have to get there by asking the right questions, and I think this is the first step to finding the right question to ask for this...

Hi guys, my questions is simple and direct. I'm new in the study of complex systems and would like to know which programs are suggested to use to build a graphs, some thing as 1500 connected points. Thanks a lot!

Sailing boat has pitching moment caused by sail drive force and hydrodnamic drag froce in the water,distance between them is lever arm. It cause nose of boat to push down.. Does windsurfing has pitching moment and if yes how it is transfer to the board ,if sail is connected to board with...

Is Non-equilibrium statistical physics and complex systems a good area of study to go into? Is it a well respected field? Thank you

Hey! :giggle: Question 1 : Let $g(x)-=x-x^3$. The point $x=0$ is a fixed point for $g$. Show that if $x^{\star}$ is a fixed point of $g$, $g(x^{\star})=x^{\star}$, then $x^{\star}=0$. If $(x_k)$ the sequence $x_{k+1}=g(x_k)$, $k=0,1,2,\ldots$ show that if $0>x_0>-1$ then $(x_k)$ is...

Hi everybody and very glad to be here. I am given a small piece of lens which is tightly sealed and there are two lenses at the end and I do not know what is in between. My question is as follow. If I design a small apparatus of object and get the image then will I be able to design a similar...

A player has (wins+0.5draws)/(wins+draws+losses)=(200+0.5*0)/(200+0+0) and another has (1200+0.5*0)/(1200+0+1000). This rating shows correctly that the first player is much stronger than the second. Whereas the Elo, Glicko and Truskill rates (roughly about) the first with 800+200*8-0*8=2400 and...

Hello, I was reading few papers discussing modified gravity theories and their use in understanding galaxies with no dark matter by checking for anomalous velocity dispersion. Now, the author was using 4 gravity theories MOND, Weyl, MOG and Emergent gravity. The thing is he had provided the...

A person plans to invest up to 20,000 dollars in two different interest-bearing accounts. Each account must contain at least 5,000 dollars. The amount in one account is to be at least twice the amount in the other account. Write and graph a system of inequalities that describes the various...

The details for Archetype J (System with six equations, nine variables. Consistent. Null space of coefficient matrix has dimension 5.) include several sample solutions. Verify that one of these solutions is correct (any one, but just one). Based only on this evidence, and especially...

$\tiny{311.1.1.26}$ Construct 3 augmented matrices for linear systems whose solution set is $x_1=3, \quad x_2=-2, \quad x_3=-1$ ok the only thing I could think of is just rearrange the rows of an RREF matrix. albeit losing the triangle format hopefully no typos $\left[\begin{array}{rrr|rr} 1&...

I'm past middle age, and it seems I should have fewer questions about life and the universe than ever. I have more now. For some reason this past year or so I've been absolutely consumed with trying to grasp the immensity of the universe and distances. For whatever reason, I'm having more...

Hi there could someone please help me with this question we have not been taught the content of this question what so ever so help would be very much appreciated. As you will be able to tell by the question it is not very difficult however I am not excellent at engineering or physics and...

Hi everyone, I have a question that I am struggling and need your help. So I am working on a project which is essentially two syringes, A & B, with different cross-sectional areas, A1 & A2, connected via a tube filled with water. If we assume loss-less system, Pascal's law, the input force...

If we were made from a Supernova (all our heavy elements) does that mean most star systems are made up of just a few of the first elements encluding planets? Thanks for your time.

I am interested in the following question: whether we can use the principle of virtual work to solve approximately (in the limit of small deformations) the statically indeterminate systems or this principle is ultimately equivalent to the the system of the independent equilibrium equations?

If we use the nature units or the geometrized units, how could we transfer the final result back to the normal units with ##c \ne 1, \hbar \ne 1, G \ne 1##? I know I coule analysis its dimension to multiply them back. But what about other units system? For example, in a recent paper, the...

Considering at least two engineering systems, evaluate how 1st Order Differential Equations are useful in solving problems within those systems I have chosen 3 options. just wanted to check if these counted do you think. 1. machinery funnelling/dispensing of liquids into bottles on conveyor...

Hello, When solving statics or dynamics problems, one important step is to draw the free body diagram (FBD) with all the external forces acting ON the system. The "chosen" system may be composed of a single or multiple entities. The external forces have components that must be projects on the...

Summary:: Electric Power Systems book recommendation Hi everyone, I finished my Electrical Engineering degree 15 years ago and wanted to refresh/review/update my knowledge on Electrical Power Systems. I'm looking for a book recommendation that has: components of a power system, control of...

Write the solution set of the given homogeneous systems in parametric vector form. $\begin{array}{rrrr} -2x_1& +2x_2& +4x_3& =0\\ -4x_1& -4x_2& -8x_3& =0\\ &-3x_2& -3x_3& =0 \end{array}\implies \left[\begin{array}{rrrr} x_1\\x_2\\x_3 \end{array}\right] =\left[\begin{array}{rrrr}...

Please see enclosed my calculations for parts 1-3. I am stuck on the final part of of a 4 part question, any help or guidance would be very much appreciated, thanks.