Systems Definition and 1000 Threads

A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment, is described by its boundaries, structure and purpose and expressed in its functioning. Systems are the subjects of study of systems theory.

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  1. M

    Understanding Fixed Points in Hamiltonian Systems

    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...
  2. M

    Dynamic Systems: Question about Isoclines of Systems

    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)...
  3. M

    Dynamic Systems: Poincaré-Bendixson Theorem finite # of equilibria

    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...
  4. S

    How do Computer Algebra Systems handle the scope of variables?

    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...
  5. shivajikobardan

    Comp Sci What are the steps for performing audits on Information Systems?

    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...
  6. S

    I What is the energy output of a Gravity Battery System?

    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 ...
  7. elcaro

    Why do we use binary computing systems instead of terniary systems?

    See for example Ternary computer
  8. Marioweee

    Exploring Spin Magnetization in Non-Ideal Systems

    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...
  9. AryaKimiaghalam

    Programs What are some good graduate programs in the Physics of Complex Systems?

    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...
  10. G

    I Theory of fluctuations in disordered systems

    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...
  11. Falgun

    I Exploring Uncommon Coordinate Systems in Physics

    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...
  12. P

    How do you identify the systems in which Newton's Third Law is obeyed?

    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...
  13. haruspex

    Insights Corrections to MIT Open Courseware: Systems of Varying Mass

    Continue reading...
  14. e2m2a

    A Prime Factorization Theorem and Number Systems

    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...
  15. T

    Systems Non-Proper Transfer Fns: Causality?

    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.
  16. S

    Quantum Open Quantum Systems textbooks with exercises?

    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...
  17. T

    A Noether's theorem for finite Hamiltonian systems

    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?
  18. Arman777

    Default Fonts in all operating systems

    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...
  19. fsonnichsen

    Seek Open Source Web Design Software for Serial Controlled Systems

    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...
  20. wrobel

    A The equations of variable mass systems

    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...
  21. Arman777

    A Kerr Metric: Removing Singularity via Coordinate Transformation

    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?
  22. Limebat

    Need help on model HHO propulsion systems

    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...
  23. J

    What biological systems can be simulated with exaflops computers?

    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...
  24. M

    B Description of isolated macroscopic systems in quantum mechanics

    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...
  25. H

    I Time Reversal Breaking in Classical Systems

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

    I What are the biggest problems in the study of complex systems?

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

    I Are all the celestial systems in the universe on a big plate?

    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...
  28. E

    Confusion about the difference between isolated and non isolated systems

    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.
  29. L

    B Missing mass in atomic systems

    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...
  30. UFSJ

    Good programs to make graphs (complex systems) in linux

    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!
  31. J

    I Physics of sailing/windsurfing systems

    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...
  32. T

    Physics Non-equilibrium statistical physics and complex systems

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

    MHB Fixed point,, Jacobi- & Newton Method, Linear Systems

    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...
  34. P

    Question on Optical Systems and Lenses

    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...
  35. L

    B Elo, Glicko, and Truskill rating systems are most probably wrong

    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...
  36. F

    A Radial acceleration for spherically symmetric systems in GR

    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...
  37. M

    MHB How to Graph a System of Inequalities for Investment Allocation?

    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...
  38. karush

    MHB Solving Systems of Six Equations with Nine Variables

    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...
  39. karush

    MHB Construct 3 Augmented Matrices for Linear Systems

    $\tiny{311.1.1.26}$ 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&...
  40. P

    Stargazing Can distance in space be measured by human systems?

    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...
  41. Engineeringworks23

    Conservation of Momentum in Dynamic Engineering Systems

    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...
  42. D

    I How viscous forces affect force transmission in hydraulic systems.

    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...
  43. D

    B Are Most Star Systems Composed Mainly of Light Elements?

    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.
  44. R

    A Statically indeterminate systems

    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?
  45. Haorong Wu

    I How to Change Between Unit Systems w/ ##c \ne 1, \hbar \ne 1, G \ne 1##

    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...
  46. L

    Engineering Engineering systems 1st order (ideas I had), any good?

    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...
  47. F

    Free body diagrams, coordinate systems origin/orientation

    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...
  48. E

    Engineering Electric Power Systems book recommendation

    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...
  49. karush

    MHB 311.1.5.5 homogeneous systems in parametric vector form.

    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}...
  50. Gaby

    The first law of thermodynamics for open systems

    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.
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