System Definition and 1000 Threads

Hello guys I struggle since yesterday with the following problem I am reading the book "Elements of applied bifurcation theory" by Kuznetsov . At one point he has the following Taylor expansion of a nonlinear system with respect to x=0 where ##x\in \mathbb(R)^n## $$\dot{x} = f(x) = \Lambda x +...

Does every macrophage (and leucocyte in general) start from “scratch” as the organism grows in terms of "knowing" which pathogens to kill or does it somehow "know" to dismantle certain pathogens "genetically" once it is created? I guess, in other words, does it have to first get "exposed" to...

<<Moderator's note: Moved from a technical forum, no template.>> Description of the system: The masses m1 and m2 lie on a smooth surface. The masses are attached with a spring of non stretched length l0 and spring constant k. A constant force F is being applied to m2. My coordinates: Left of...

My book states that Heat and work represent energy in transit. The state of the system undergoes a change after heat is supplied to it and before work is extracted from it because energy gets stored in it. My doubt is here that ,heat has been transferred to the system and it says heat is energy...

Can the journey be completed within the lifetime of a human adult? Assuming we have got around little problems like having an adequate form of propulsion, shielding from radiation, and avoiding deadly collisions with milligram sized dust particles. Let's say our engines can provide constant...

Homework Statement We have a transmission system (plate-pinion), with a 38-tooth chainring and a 14-tooth sprocket. The distance between the crank (between the chainring and the pedal) is 170 mm and the pedal is overloaded with 60 kg and pedalled at a speed of 70 min-1. Homework Equations P =...

Knowing that a scalar quantity doesn't change under rotation of a coordinate system. Do we consider a point in a Cartesian coordinate system (i.e. A (4,5)) a scalar quantity? If yes, why do the components of point A change under rotation of the coordinate system? According to my understanding...

Homework Statement This problem is taken from Problem 2.3, Introduction to Vibration and Waves, by H.J. Pain and P. Rankin: A critically mechanical system consisting of a pan hanging from a spring with a damping. What is the value of damping force r if a mass extends the spring by 10cm without...

I have a Samsung Galaxy on7, running on Android 6.0.1. It has a lot of pre installed apps that I consider bloatware. I want to remove them completely from the phone. Recently, I tried removing these apps as per this video: But soon I found that it does not delete the system files, because...

Given that a,\,b and c are real numbers that satisfy the system of equations below: (a+b)(b+c)=-1\\(a-b)^2+(a^2-b^2)^2=85\\(b-c)^2+(b^2-c^2)^2=75 Find (a-c)^2+(a^2-c^2)^2.

Hi there. I am solving an under-determined system of equations. The solver I've written seems to work fine, but I would like to have some control on the solution I obtain. From the infinite set of solutions of my system, I would like to use only those that fulfill some conditions. One of those...

This is not homework related and I am having some trouble with describing a part of a system. It is a Rube Goldberg machine. I have two vertical "levers" with axles in the middle of them. I'll post photos. I am really having trouble describing them more or less because I don't know what a good...

Homework Statement Two capacitors of 1 and 2 micro-farad respectively are each charged by being connected across a 5 V battery. They are disconnected from the battery and then connected to each other with resistive wires so that plates of opposite charge are connected together. What will be the...

Hello Dear Ones. 1. How Scientists exactly calculated movement speed of solar system ? thank you very much.

Homework Statement Explain with basis in the figure how the necessary pumping effect is determined for a pump in a pipe system. We are given the following data: T = 15 C 75 m3/h vand H = 11 m L = 70 m rørledning D = 100 mm R = έ = 0,1 mm ή = 80 % 9 of 90 % standard elbows R/D =...

We are planning to plant 500 trees, and we want to water it, but we are not sure how to calculate the suitable pump for it, and the holes diameters that we will pinch for each tree (500 holes). The system will include two elbows, and the distance of the pipes are all included in the below link...

https://www.imdb.com/title/tt5758778/ In Dwayne Johnson latest movie Skyscraper.. is the fire suppression system that can immediately put out fires based on a real technology? For 100 stories building.. what kind of fire suppression system do they use? A fire in any floor (say the 40th...

Homework Statement maximize f(a,d,h,p)= (4a+3d+3h+c1)c2 *(2+0.01*floor(50+0.0001p)) subject to the constraint 1439a+427d+9259+912/5*h=k. This is not a homework problem but it may as well be: it comes from a game, the function f represents damage as a function of 4 stats and the constraint...

Homework Statement This is an example worked out in the textbook Matter and Interactions, 4th Edition (pg. 181). The authors assume that solving for two unknowns is no problem, so they don’t show the steps. I’m trying to work it out and am stuck. I’ve used Alpha to get a step by step solution...

During a harmonic convergence of the major planets does the barycenter ever leave the suns sphere?

According to my text, a linear system of equations is a problem described by two or more equations in two or more variables. Now the individual equations have infinitely many solutions, however, the system of equations is said to have either exactly one solution (one point of intersection...

@mfb From this thread - https://www.physicsforums.com/threads/why-doesnt-the-plate-interact-with-the-particle-in-double-slit.949489/ Post #2 - "It is not feasible to keep such a large and especially a biological object in a state without measurement" How does one keep a multi-particle...

Hello! I am reading "A First Course in General Relativity" by Schutz and in chapter 8 (second edition) he introduces Nearly Lorentz coordinate system. He says that we can always find some coordinates such that the metric is: $$g_{\alpha\beta}=\eta_{\alpha\beta}+h_{\alpha\beta}$$ with...

Some time ago I made a modelling project and obtained a plot. Now, I want to remember what the transfer function was, as I want to try changing the parameters. The graph is the following: How can I obtain the transfer function? Thanks a lot

If I have a single spin 1/2 particle, I know that it's total spin in any direction with unit vector can be computed by using the operator σ•n where σ_i are the pauli matrices. Suppose however I had a multiparticle system, is there a generalization of the pauli matrices (which let's call ρ_i) so...

Homework Statement Imagine exactly same two bodies (same mass, same surface/friction etc) are attached with a string/spring and they suddenly start pulling towards each other with equal force. I can imagine they will move towards the center. If there is a chain (with defined number; not...

Homework Statement So imagine 4 rigid rods connected together to form a dashed quadrilateral as shown in the picture. Now AB is fixed, can not be changed in anyway, while all other sides (AD, BC and CD) are connected but can move freely. The initial conditions (dashed quadrilateral) are given...

Homework Statement A circular ring (2m, R) with a small insect of mass m on its periphery, is placed upon smooth horizontal surface (axis of rotation passing through center and perpendicular to the ground i.e disk is lying horizontally) . The insect starts moving with velocity v w.r.t ground...

Homework Statement There are 2 situations- 1)a rod of length L is lying on a smooth horizontal surface with its one end hinged to the ground, a ball traveling with a velocity v hits its other end and comes to rest, How is the net external torque about hinge point O zero? 2) in the second case...

1. The problem statement, all variables and given/known dana I was revisiting University physics textbook and came across this problem. We learned new coordinate systems in classical mechanics classes so I wanted to see if I can apply this to the problem of force on semicircular part of the...

Homework Statement Solve the following system of equations Homework Equations A1 + A3 = 0 cA1 + A2 + A4 = 0 dA1 + cA2 + w^2 A3 = 1 dA2 + w^2A4 = 0 The Attempt at a Solution https://imgur.com/YSG5oGN - Page 1 https://imgur.com/dGbccsE - Page 2

Does anybody know of inexpensive MODBUS devices that we can purchase for some medium-scale compatibility testing with a new controller that we are building? There are some moderately expensive products from Schneider Electric, but we're hoping to find some more "jellybean" products that we can...

When in history did our reward system develop, in order to ensure human reproduction? And what drives lower animals to reproduce? Instinct The reward is the survival of the lineage. but do animals know this as well? Do they have some kind of consciousness that they (well, actually not them...

Hey! :o Is the system $$x^3+y^3+z^3=1 \\ x\cdot y\cdot z=-1$$ in a region of the point $(1; 1; 1)$ uniquely solvable for $y = y (x) $ and $z = z (x)$ ? How can we check that? Could you give me a hint? (Wondering)

Homework Statement Three slim rods with the same length L are placed in a inverted U shape, as the figure shows. The masses of the vertical rods are the same, while the third bar has the mass 3 times bigger than the first or the second rod. The rods' thickness should be ignored. Find the moment...

Hey guys, I would appreciate some help with the math behind creating a working coordinate system for a robotic arm. I am currently trying to determine what servo angles are necessary to align a robotic arm's claw to the given coordinates. Geometrically simplified, the robotic arm is a...

Homework Statement Hello, this is like an experiment of engineering.It is called a induction stove. The system consists of a bycicle, where I am going to pedal. This will turn a disk that have 20 small magnets around its circuference. Once the disk starts to turn, it will produce a constant...

Hi to all! My question is: Does the relative position of the barycenter of the Earth-Moon system change due to mass distribution changes in the system and would this affect the Earth-Moon distance? For example: Could the sea level rise change the Earth-Moon distance? The only formula I found...

> Operator $$\hat{A}$$ has two normalized eigenstates $$\psi_1,\psi_2$$ with > eigenvalues $$\alpha_1,\alpha_2$$. Operator $$\hat{B}$$ has also two > normalized eigenstates $$\phi_1,\phi_2$$ with eigenvalues > $$\beta_1,\beta_2$$. Eigenstates satisfy: > $$\psi_1=(\phi_1+2\phi_2)/\sqrt{5}$$ >...

Hi, I was trying to solve the simplest problem of planetary motion (for one planet). The equations should be: ##F_x = m \frac {d^2x} {dt^2} = G \frac {Mmx} {r^3}## ##F_y = m \frac {d^2y} {dt^2} = G \frac {Mmy} {r^3}## where ## r = \sqrt{x^2 + y^2}## So I re-wrote the system like this...

Ignoring special relativity theory，maxwell equation are deduced in which coordinate system?In most electrodynamics textbook,maxwell equation are deduced without specifying which coordinate we are using.For example,when we are solving poisson equation in static case，it seems we can freely choose...

Homework Statement How does Hodgkin's lymphoma effect the "normal" function of the lymphatic system? Homework Equations N/A The Attempt at a Solution After research I have found out that HL casues lymph nodes to become inflames. I have concluded HL causes lymph fluid to get blocked at lymph...

Homework Statement I need to find the discrete time equivalent of the following system: \begin{bmatrix} \ddot{x} \\ \dot{x} \\ \ddot{\theta} \\ \dot{\theta} \end{bmatrix} = \begin{bmatrix} 0 & 0 & 0 & 4.2042857 \\ 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 105.1071428 \\ 0 & 0 & 1 & 0 \end{bmatrix}...

Hello, Can you tell me please the glucose physiology in respect to the lymphatic system in short? Is there glucose inside the lymph? How does glucose enter/leaves the lymph? Are the glucose levels in blood related to the glucose levels in lymph? thanks!

I have a problem where I want to find out the static pressure over a city in a water pipe system. As I know the elevations over the city I was first thinking of just using p = rho * g * h, but this should only apply if the pipe system were under water (if I use the density of water at least). So...

I tried to convert the second order ordinary differential equation to a system of first order differential equations and to write it in a matrix form. I took it from the book by LM Hocking on (Optimal control). What did I do wrong in this attachment because mine differs from the book?. I've...

Hi. Usually, Computer Programmers use Flow Charts, Algorithms, or UML diagrams to build a great software or system. In the same manner, in Mathematics, what do Mathematicians use to build a great system that they want to build. Category Theory is at the highest level of abstraction; then...

Homework Statement Under the action of force P the constant acceleration of B is 6 m/s^2 up the incline as in figure. For the instant when B's velocity is 3 m/s up incline, what is the velocity of point C? How do I solve this using constraints? [/B] Homework Equations For a pulley system ΣT.v...

Homework Statement A carriage is mounted on a spring, as shown in the diagram. The bottom of the spring is fixed to the ground. The carriage (loaded with its passenger) has a mass of 150kg. The carriage can only move vertically. The natural length of the spring is 10m and its spring...

Homework Statement : A block B of mass m is suspended from a cord of length l attached to cart A of mass M as shown in the figure. The horizontal surface on which the cart moves is smooth. Initially the cart and the block are at rest in the position shown. Now the block is released. Take M=2kg...