Graph Definition and 998 Threads

Dear Physics Forum advisers, My recent study on number theory and cryptography got me really interested in the fields of combinatorics and graph theory. I am really interested in learning about them independently now since I will not be able to take the combinatorics course until next year...

Member warned about posting questions of substandard quality (no effort shown and image upside down). 1. At which points are velocity and acceleration the greatest?2. Please check the attachment to see the graph.3. I tried to solve it but i couldn't get to any conclusion.

from mpl_toolkits.mplot3d import Axes3D import matplotlib import numpy as np from matplotlib import cm from matplotlib import pyplot as plt import numpy as np import matplotlib.pylab as plt import math import random from scipy import integrate step = 0.1 maxval = 1.0 fig = plt.figure() ax =...

Homework Statement The acceleration-time graph above is drawn for a body which starts from rest and moves in a straight line. The body is of mass 10 kg. Use the graph to find: (a) the average distance traveled in 15 s, (b) the average force acting over the whole 15 s period. Answers: (a)...

I constantly find new algorithmic graph theory problems that I need to solve as I work in research. I've learned bits and pieces from google'ing and reinvented the wheel on numerous occasions but it would be nice to get a more standard background. Network science might be more applicable...

Homework Statement Say if I had a system with 3 springs on the left, 1 spring in the middle, and another 3 springs on the right. I add masses to the central spring and calculate the extension. After all my measurements, I plot a graph of spring against mass. If I then repeat the experiment...

Homework Statement Homework Equations E= kq/(r^2), E*dA = Q/e0 The Attempt at a Solution Typically I understand how to interpret basic graphs such as going for V (potential) vs x graph to Electric field vs x graph by finding the slope of V since E= -grad V...and from their it's basic...

Homework Statement There is a statement in a book : " Graph of P vs ##\chi## is a straight line which ##cannot## pass through origin" Homework EquationsThe Attempt at a Solution But if mole fraction of a component is zero then it can't form vapours because of which its partial pressure will be...

Resistivity. Take this graph for example, is the Debye temperature relavant here? Would the Debye temperature be the point where the semiconductor starts to become like a metal? i.e. where the curve goes from minimum to linear? I understand the heat capacity relation i.e. from T^3 to 3nNk but...

Homework Statement How can I calculate the ultimate stress? (I refere to the stress that it's in the green rectangle). I have a real graphic, I have two deformations, (it was 2 test, from the same material) and only one stress. The orange curve is Stress versus unit deformation 1, and the gray...

Homework Statement Find K at 4m, besides the F.s graph they also give me Kinitial = 2J Homework Equations W=F.d and W=Kf- Ki The Attempt at a Solution The first thing I did was to find the area under the graph. 1/2(4)(2)=4J W=F.d so that's my work. Then I replaced that 4J into the other eq...

Does integrating find the area between the curve and x-axis (regarless of it being a smile/frown or any other graph)? I've heard people say its the area UNDER a curve... but then how would you even get a definit answer surely it may be infinite if there's no restrictions? Thanks

How could you graph a potential energy vs. time graph only knowing the position vs. time graph and the velocity vs time graph for a hanging object oscillating up and down on a string?

Hi guys, I'm new to this site and it seems like it will be a great resource when I'm stuck on a problem. I'll firstly set out the question and then add in my working so far. Question: I was firstly asked to graph the trigonometric functions y=sinx, y=cosx and y=tanx in the interval where x is...

Homework Statement Show that any finite graph contains two vertices lying on the same number of edges. Homework Equations None The Attempt at a Solution I am confused how my book proved this. Let G be a graph with n vertices ##v_1, ..., v_n.## Place ##v_i## in a pigeonhole labelled...

Homework Statement Homework EquationsThe Attempt at a Solution the particle is oscillating so we know at 1.5 seconds, it is at the equilibrium point , where speed is highest. (the speeds are 0 at the highest and lowest points of the graph.) we see that it goes from -6m to 6m, which is 12...

Helo everybody, I have buy Introduction to Graph Theory (Dover Books on Mathematics) Book from amazon... Is this book really good? See the pic : https://www.amazon.com/dp/B004TBOGPG/?tag=pfamazon01-20 http://flgopics.science/10/o.png

Homework Statement Homework Equations [/B] Tao = R(th) C The Attempt at a Solution The unknown DC circuit model consists of a V(th) and R(th) Tao = (R(th) + 3000) C , total resistance of circuit is R(th) + 3000 0.004 = (R(th) + 3000) (1x10^-6) R(th) = 1 kOhm The V(th) should oppose the...

Hello, I was asked by my professor today to graph the motion, as well as the energies, of a spring that undergoes driven and/or damped oscillation; however, I was unable to because I do not have a very good idea of how they work. Can someone explain to me, qualitatively, what it means to have a...

Homework Statement How would Re(z)<0 be graphed? Homework Equations Re(z) is the real part of z The Attempt at a Solution It looks similar to y>x, but only shaded in the third quadrant, how can this be explained? not relevant anymore

1. problem Two forces, F1 and F2(t), act on a mass m = 1.0 kg. Force 1 F1 is to the left in the negative x-direction and force F2(t) is to the right in the positive x-direction. F1 is constant with a magnitude of 1.0 N whereas F2(t) has a magnitude of 2.0 N for the time interval 0.0 s ≤ t ≤ 5.0...

I am trying to implement a graph and perform BFS on it in C++. Following is the code I have written so far: #include <iostream> #include <vector> #include <list> #include <queue> using namespace std; const int V=5; vector<list<int> > a(V); int BFS(int s) { int visited[V]={0}...

Homework Statement Homework EquationsThe Attempt at a Solution the displacement should be the area under the line , it was traveling backwards for 3 seconds, then it would take an additional 3 seconds to get back to the starting position. From there, the wheel rotates forward for 4 more...

I am attempting to do a lab that requires the determination of an unknown diprotic acid using a titration curve. I have graphed my data but I am unsure what point to use as my eq. point. In my lab manual it says I may use the second or first eq. point but the second is often clearer. I am not...

Hey all, I've been attempting this all week and can't get my head around what the proper way to calculate the answers for this query is so... 1. Homework Statement The force shown in the force-time diagram acts on a 3.4 kg object. (a) Find the impulse of the force. (b) Find the final...

Homework Statement Find the intervals of increase/decrease. Use first derivative test to find the local maxima and minima. Sketch a rough graph. Homework Equations a) f(x) = 2x2+12x-1 b) f(x) = 1/2x4-2x2 c) f(x) = 3x-4 sqrt 2 d) f(x) = x2-1/x2+1 The Attempt at a Solution A) it becomes f...

What type of "graph paper" do I need to graph an arbitrary solution, Ψ, of the Dirac equation in 3+1 dimensional spacetime? Assume the "graph paper" has the minimum dimensions required to do the job. Would this work? At each point of spacetime we need a complex plane which takes care of the...

Hey! :o Draw or describe the level surface and an intersection of the graph for the function $$f: \mathbb{R}^3 \rightarrow \mathbb{R}, (x, y, z) \rightarrow x^2+y^2$$ I have done the following: The level surfaces are defined by $$\{(x, y, z) \mid x^2+y^2=c\}$$ - For $c=0$ we have that...

Homework Statement A particle starts from rest. Its acceleration vs time graph is as shown. What will be the maximum speed? Homework Equations usual kinematic equations(3+) The Attempt at a Solution velocity at t=11 seconds should be max, so the area under the given graph = change in velocity...

Homework Statement Find the x-coordinate of the centroid of the region bounded by the graphs of Homework Equations y= 5/(√(25-x2)) The Attempt at a Solution I stuck at finding Mx

Homework Statement I am doing a lab report and I have to find the slope of a graph as well as the max and min lines of the graph. I also have to find the error in the slope. I have calculated the slope. My first problem is in calculating the error lines. My teacher said i must find the slope...

Hello, I have to estimate some values from a plot (shown in the attachment). The trouble is I'm not sure how to read one of the scales could someone please explain the nature of the scale along the top frame, the angular scale, i.e how it is spaced. One of my aims is to estimate which angle...

Homework Statement 5.46 kg object moves along the x-axis. It is starting from rest. What is the velocity at 6 seconds? Homework Equations F=ma a=f/m The Attempt at a Solution x=5.46(v/6)[/B]

Homework Statement [FONT=Verdana]A test driver is testing a new model car with a speedometer calibrated to read m/s rather than mi/h. The following series of speedometer readings were obtained during a test run along a long, straight road: [FONT=Courier New]Time (s): 0 2 4 6 8 10 12 14 16...

Homework Statement http://i.imgur.com/4dL6TQY.jpg I don't know how to read the figure or the graphs. O_O

Homework Statement The variation of the force F with the time t acting on a body of mass 200g is as shown in the graph below Given that the velocity of the body at t=75ms is 15m/s . What is the velocity of the body at t=150ms A.15m/s B.30m/s C.35m/s D.39m/s Homework Equations F = m Δv/Δt The...

I have been asked to finding the area of the graph of the function F(x)=(3x-\pi)\cos\frac{1}{2}x between x=-\pi and x=\pi using integration by parts to integrate the function I get \int 2(3x-\pi)(\sin\frac{1}{2}\pi)+12\cos\frac{x}{2} when I work out the integral for x=\pi and x =-\pi I get...

Mod note:Combined two posts into one. 1. Homework Statement f(g,h) such that g is a function of x and h is a function of y then how can i plot a graph in exccel Homework EquationsThe Attempt at a Solution

Hey! :o Let $G$ be a graph. A clique in $G$ is a subgraph in which every two nodes are connected by an edge. An anti-clique, also called an independent set, is a subgraph in which every two nodes are not connected by an edge. Show that every graph with $n$ nodes contains either a clique or an...

Hello, I am a student interested in pure mathematics, and am considering giving this book a try. I was wondering what you all think if this book as I have it in my possession. Is it good? If not, is there any very rigorous (I can handle Rudin Analysis rigor) discrete textbook, like one that...

Hi! I'm having troubles drawing a velocity-time graph from a position-time graph. I know parabolic p-t graphs have diagonal lines for their v-t graphs, but I'm not sure why. I also know tangents are important to use, but again, I don't understand why. Any clarification as to why this happens (in...

Homework Statement The Attempt at a Solution Looks like the graph would be a parabola? And since it's a>0 it would be upward and therefore a minimum. Not sure what that would be. Unsure how to solve the rest[/B]

Hey, I'm looking for any books that contain anything on RNA and Graph Theory, was hoping if anyone has any recommendations or can at least point me in the right direction. I've already read through the section on this topic in Goodaire and Parmenter's 'Discrete Mathematics with Graph Theory'...

Homework Statement I have a disk that can rotate about an axis at a radial distance h from the center of the disk. I am given a graph showing the the rotational inertia I of the disk as a function of the distance h from the center of the disk out to the edge of the disk. From the graph (see...

During which segment(s) is the object speeding up? During which segment(s) is the object slowing down?I understand that the velocity is constant at A D E, and that it is moving in the positive right direction at segments A and B, but I'm confused at this part. I originally thought that it is...

Homework Statement Homework Equations The Attempt at a SolutionNot sure what to do here. I was thinking maybe the y – y1 = m(x – x1)? I am having trouble understanding this question. I know what piecewise functions are but filling this in is proving difficult.

Homework Statement http://i.imgur.com/u8vUv5a.jpg Find the phase constant. Homework Equations x(t)=Acos(ωt + Φ) v(t)=-Aωsin(ωt + Φ) Vmax = ωA ω=2π/T The Attempt at a Solution ω = 2π/12 = 0.5236 A = 60/0.5236 = 114.59 cm v(0) = -30 = -114.59(0.5236)sinΦ 0.5 = sinΦ Φ = π/6 and 5π/6. Which...

Homework Statement I am not sure how to graph the function f(x)=(x+p)+q Homework EquationsThe Attempt at a Solution When x=0 y=p+q if y=0 x=-q-p ? what shape would this give??[/B]

Homework Statement http://i.imgur.com/TZcJkjH.jpg Find the phase constant Homework Equations x(t) = Acos(wt + Φ) x(t) = Asin(wt + Φ) w = 2pi/T The Attempt at a Solution I see A = 20cm. T = 4s. f = 1/4 = 0.25Hz. w = 2pi/4 = 1.57Hz. 10 = 20cosΦ 0.5 = cosΦ Φ = π/3, 5.24?

Hello everyone, I have generated a graph in one quadrant and i need to generate the reflexion of it in the other quadrants. I need to generate a graph like the one found in (http://arxiv.org/pdf/astro-ph/0103143v1.pdf) figure 2. The figure below show the graph i have i one quadrant...