Systems Definition and 1000 Threads

Homework Statement Solve the system of equations: { (1/2)x-y=3 and x=6+2y Homework Equations NA The Attempt at a Solution The solution is 3=3, which is an identity, which means that there is an infinite amount of solutions to the system. Here's where my question lies (asked my teacher but...

Good Morning I am having some trouble categorizing a few concepts (I made the one that is critical to this post to be BOLD) Remote parallelism: the ability to move coordinate systems and frames around in space. Euclidean Space Coordinate systems: Cartesian vs. cylindrical I am aware that if...

Hello. If Linux is completely written in C(?) then I need a strong reason to opt for OOPs for Embedded Systems software. Can anybody tell me a situation or a circumstance that would make me use Object Oriented Programming principles to write software for Embedded Systems? Thanks.

I should evaluate ##\int d^3 p \ \exp(i \vec{p} \cdot \vec{x}) / \sqrt{|p| + m^2}## over all ##\mathbb{R}^3##. How can I do this in spherical coordinates? Since ##\vec{p}## is a position vector in ##\mathbb{R}^3##, our ##\vec{r}## of the spherical coordinates would be just equal to ##\vec{p}##...

I have just begun my journey in Classical Mechanics with the book "An Introduction to Mechanics" by Kleppner and Kolenkow. I find myself stuck at Newton's first law. The book presents Newton's first law as follows: "Newton's first law is an assertion that inertial frames exist." The book also...

First, some may ask why would do we care that we can convert a 3rd order or higher ODE into a system of equations? Well there are quite a few reasons. 1- Almost all first order systems are easier to solve numerically using computer systems (matlab, maple, etc). Yes, it takes some working out...

Homework Statement Consider a system A consisting of a spin 1/2 having magnetic moment ##\mu_0##, and another system A' consisting of 3 spins 1/2 each having magnetic moment ##\mu_0##. Both systems are located in the same magnetic field B . The systems are placed in contact with each other so...

It seems like systems of equation are part of almost every complex physics problem. What exactly are the rules or steps for solving such equations? I know how to solve a basic linear system of equations with two variables, but how do solve more complicated systems like non-linear systems of...

Hi all, Teacher here looking for some guidance. I'm teaching a class that I took myself a few years back, and I'm looking at my solution to a problem but I have a random value in my answer (which I know to be correct) but I can't for the life of me remember where this value came from! Can anyone...

Hey all, I was wondering if anyone can help me out with understanding the PWR refueling process? I'm an undergrad getting introduced to these systems and was hoping there was someone in the industry that might have some insight into the details of this. In regard to the removal of the old...

Hello! I am reading Schutz A first course in GR and he introduces the Nearly Lorentz coordinate systems as ones having a metric such that ##g_{\alpha\beta} = \eta_{\alpha\beta} + h_{\alpha\beta}##, with h a small deviation from the normal Minkowski metric. Then he introduces the Background...

What notation would I need to use in order to write a mathematical statement to define a System S of simultaneous equations - let's say ax+by=c and ex+fy=g.

The question is very general and could belong to another topic, but here it is. Suppose one wants to solve the set of differential equations $$ \frac{\partial x}{\partial t}=\frac{\partial H(x,p)}{\partial p},$$ $$\frac{\partial p}{\partial t}=-\frac{\partial H(x,p)}{\partial x},$$ with some...

Hi Last did physics about 50 years ago but have become interested in how pressuried fluids behave in sealed containers when they are rapidly agitted or otherwise brought into motion. Envisage a large circular container with a central power driven agitator. Two cylinders are attached . The whole...

I have just started reading chaos from the MIT OpenCourseWare and the following passage has confused me. "The sensitivity to initial conditions is important to chaos but does not itself differentiate from simple exponential growth, so the aperiodic behavior is also important. In the definition...

We have some type of squash plant growing in a small garden. It remarkable how much it has spread. I would think it advantageous for such a plant to form additional root systems, try as I might I do not see them on this plant. Is that typical of squash and pumpkin type plants, no additional root...

Hi, In some marine isolated electrical systems I saw that only one phase insulation resistace is monitored. Why? If something happens on other phases I will have no information about that or...? Regards!

In this paper on the history of functional analysis, the author mentions the following example of an infinite system of linear equations in an infinite number of variables ##c_i = A_{ij} x_j##: \begin{align*} \begin{array}{ccccccccc} 1 & = & x_1 & + & x_2 & + & x_3 & + & \dots \\ 1 & = & &...

In the radiation detection, it's of common use pulse-type systems, which have a preamplifier between the detector and the amplifier. I have read that the preamplifier primary function is reduction of attenuation of the signal that exits from the detector by matching the impedance of the detector...

Homework Statement I'm having difficulty knowing how to determine if a given differential equation represents a stable, neutrally stable, or an unstable system. I was given a hint to focus on the homogeneous solution, so is the particular solution not important for determining if the...

Homework Statement https://i.imgur.com/WPAKuf4.png seeking G(s) = \frac{\theta_2(s)}{\tau(s)} Homework EquationsThe Attempt at a Solution What does it mean when the viscous drag is parallel to the axis of rotation?[/B] It also turns out that this system needs two equations. I can sort...

Homework Statement Q. Let A be an m by n matrix. Assume that the equation Ax=b is consistent for some b≠0 in Rn. Moreover, assume that Ax=b has a unique solution. Does the equation Ax=0 have a non-trivial solution? Is it possible to find a vector V in Rm so that the system Ax=V has infinitely...

Hi everyone, I'm an electrical engineer trying to make a little bit of order in my mind about eigenfunction theory, sturm liouville operators (regular and singular) on my own free time and I thought I was grasping almost everything, but I had a little doubt that is actually coming from the field...

I was reading a news article about powerful lasers being used in missile defense systems, and I was wondering if multiple weak laser can work together to do the same job as one strong laser. For example can a thousand 1 Kw lasers in different locations be made to point at a single point on a...

I am building a house and would like to understand how to perform an energy balance/efficiency calculation on various electrical heating systems

Hi All, Just curious on pros/cons of installing software designed for 32- bit systems in a 64-bit machine (Windows 8.1*)? * I have never been able to tell the difference, if any, between Win 8 and Win 8.1 .

Hi everyone, to find the draw the direction for a given miller index say, [1234] we first convert this miller index consisting of 4 indices into one containing 3 indices. To do so, we have a set of formulae prescribed in almost every book. Sadly I haven't been able to come across a single book...

Hi Why are TN-C systems not allowed for computer equipment and similar devices? After some reading they mention it is because of circulation of harmonic currents in the PEN condcutor, but I am not able to understand what circular path they circulate in?

So I am 21 years old, I only recently found out that I am interested in electrical engineering. I live in NYC and am heading into cuny city tech for my first semester. E.E is a very broad field and I think that going into power engineering would be a good career move because it cannot be...

So I recently developed an interest in quad-rotors and was getting stated with its dynamics. I am particularly intrigued by the yaw motion of a quad-copter which comes into effect as a result of torques of the motors. When the motor torques are variable, we observe the yaw motion as result of a...

Instead of an electric motor, can it be substituted with an hydraulic force / power amplifying system instead? If yes, how would it work? Could chains still be used? Instead of an electric motor powering the hydraulic system, could the rider power the hydraulic system through force / power...

Hello, I am an student of Engineering and I come a cross of a doubt that I would like to investigate a bit more. I would like some information or some directions to the right path for the following. I would like to know how could I calculate the harvesting energy of an area for a piezoelectric...

It is not the laws of physics, but the forms of laws of physics which are the same in all inertial frames. Comment."The forms of laws of physics are the same in all inertial frames" is a necessary condition (put by scientists ) to get satisfied by something which has to be called as a law of...

Hello I'm trying to understand how exhaust systems work .In general I want to understand how air movement changes according to leight of vent tubes. Example I have made little vent system with in lane fan that sucks air out of room. As I understand air speed in tube that is pulling air from...

Homework Statement Hi guys, I was just wondering if anybody could help me with the below question Homework EquationsThe Attempt at a Solution Radial Total load = 3.2 /_-36.87deg + 2.3 /_ 53.13deg =(2.56 - j1.92) +(1.38 +j1.84) = (3.94 -j0.08)...

At present I am trying to understand the construction of the number systems ... natural, integers, rationals and reals ... What do members of PFs think is the clearest, most detailed, most rigorous and best treatment of number systems in a textbook or in online notes ... ? NOTE: I am currently...

At present I am trying to understand the construction of the number systems ... natural, integers, rationals and reals ... What do members of MHBs think is the clearest, most detailed, most rigorous and best treatment of number systems in a textbook or in online notes ... ? NOTE: I am...

Really excited about this blog post by yours truly. Wineman Technology is going places!

Hello, In three-phase systems, star coupling for example, and in the case where single-phase sources are supplied using the three phases L1, L2 and L3 with a common neutral return, My first question is: when one is balanced il1 = il2 = Il3 is what the current flowing in the neutral is...

Homework Statement continuous time LTI system is given with differential equation y'(t) + 5y(t) = 10u(t) a) Find transfer function of system and determine is it stable or not. b)Find frequency characteristics (amplitude and phase angle) of given system c) Find impulse response using Laplace...

Hi all, I'm stuck on progressing a problem i have received some feedback around as detailed below. I would greatly appreciate some assistance, and thank you in advance for your time and contributions. So i have a linear system: Which is row reduced to: I have identified that the system has...

I wonder why nobody discuss this topic in classical mech. courses

Please give examples of systems where the state evolves deterministically according to the Schroedinger equations where there are not yet measurements that can produce probabilistic outcomes. I'd like to understand how big the systems can get where you can still entangle with the systems...

Looking for software for drawing biological processes and pathways between cells or even tissues. I have engineering/programming/control systems experience so I am looking for something similar in biology. The ability to define different things, different colors or shapes would be good, I...

1. For the mechanism shown in FIGURE 1 determine for the angle θ = 45°: (i) the velocity of the piston relative to the fixed point O (VBO) (ii) the angular velocity of AB about point A (i.e. ωAB) (iii) the acceleration of point B relative to A (aBA). (b) Determine the value of the angle θ...

Hi ! I'm having a bit of trouble understanding something. Let 'u' be internal energy, 'h' enthalpy, 'e' work and 'q' heat. ('r' are dissipations and 'S' entropy) From a book , i read that de+dr=PdV= -du + TdS This seems to stand for closed cycle. Yet, my teacher uses the formula de+dr=vdP=...

I would like to discuss here some points from the article Martin Swaczyna Several examples of nonholonomic mechanical systems Communications in Mathematics, Vol. 19 (2011), No. 1, 27--56 This article is available at https://eudml.org/doc/196963 Let us open page 37: This is a classical problem...

I am a undergraduate student of engineering and I'm planning to go for Master's in physics department. I've watched some websites of research faculty or groups and I think (correct me if I'm wrong ;) there are main theoretical and experimental fields of these: - Elementary particles - Condensed...

Hello, I have been going over the above topic and have a question about the neutral point of a balanced wye configuration. Would the line to line voltage remain constant? I am trying to picture two sine waves 120° apart and it's making me think the Va would be reducing as Vb was increasing at...

Given the two systems below for an ##m \times n## matrix ##A##: (Sy 1): ##Ax = 0, x \geq 0, x \neq 0## (Sy 2): ##A^Ty > 0 ## I seek to prove: (Sy 1) is consistent ##\Leftrightarrow## (Sy 2) is inconsistent. I figured out how to prove Q ##\Rightarrow ## P by proving the contrapositive...