Graph Definition and 999 Threads

Here is my working in case it helps :)Ignore the v = 0.6/0.0001 = 6000m/s

I am not sure what is the description of Channel.

Hi, I was reading through some slides about graph clustering. In the slides was a very short discussion about 'eigenvectors and segmentation'. I don't quite understand where one of the formulae comes from. Context: We have some undirected graph with an affinity matrix (i.e. weighted adjacency...

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Write an equation for a sinusiol graph with the following \quad $A=-3$ \quad period $=\dfrac{2\pi}{3}$ phase shift $=-\dfrac{\pi}{4}$ For the graphs of $y=A\sin(\omega x - \phi)$ or $y=A\cos(\omega x - \phi),\omega>0$ Amplitude $=|A|$ \quad Period $=T=\dfrac{2\pi}{\omega}$ \quad Phase shift...

I've been reading various articles on Graph Neural Networks (GNNs) for the last month or so. In particular, I have been focusing on the tutorials in A Blitz Introduction to DGL. I made it through all of the tutorials OK but I'm having trouble understanding certain aspects of GNNs. I'm also...

F.B.D Of first block (I have shown only the horizontal Forces) f1(max) = μ (1kg)(g) = 0.5 * 10 = 5N F.B.D Of the second Block f2(max) = μ (3kg)(g) = 15N Now the string will become taut and the tension will start acting when f = t = 5N But for 0<f<5N there will be no motion between the 1 kg...

Figure 1: im so confused on why is the internal energy not zero for the 2nd picture because i thought if the gas returning to its original states so it zero

Graph $y=\sin{x}-2$ on the domain $[0,2\pi]$ This is a sample math problem in preparation for the entrance exam for the USAF Academy Even not asked I thot also the Period, Amplitude, PS and list some observations that should be know to graph without an app 1. we know that sin(0)=0 so sin(x)...

##v=\frac12 *1*4+\frac12*1*4= 4 m/s## but the answer is wrong.

3) and 4) is easy. Average and instantaneous acceleration is same from 1 to 4 sec since it’s constant acceleration. 1) and 2) I am unable to get the correct area under the curve. ##s = \frac 12*(-5)*1 + \frac12*10*2 + 10*1 + \frac12*10*1## Same I guess will be distance. 5) what is the graph...

Hi, I notice from the graph that every night when the temperature reaches -2/-3 °C the curve change first the slope and then the concavity. Is something special happening?

Could someone explain the geometry of this graph? Why does the radial distance vary non-uniformly? To-wit: Distance from origin to Nov 2020 is much larger than Nov 2020 to Nov 2021 Why are there two areas - one above and one below - the centre line...

I'm studying calculus alone with textbooks. The part about moving the graphs to the right or to the left struck me because they just have a list of rules, properties and make you relate the graph with the corresponding equation. I know what is the rate of change and I thought I could do better...

The variation with time t of the acceleration a of an object is shown What is the change in velocity of the object from ##t=0## to ##t=6##? A. ##6ms^{-1}## B. ##8ms^{-1}## C. ##10ms^{-1}## D. ##14ms^{-1}## So apparently the answer is B, which I am having trouble reconciling. Using methods...

Find amplitude, period, PS, VS. then graph. ok I think these are the plug ins we use $Y_{cos}=A\cos\left[\omega\left(x-\dfrac{x \phi}{\omega} \right)\right]+B \implies A\cos\left(\omega x-\phi\right)+B \implies T=\dfrac{2\pi}{\omega} \implies PS=\dfrac{\phi}{\omega}$ ok I wanted to do...

This is the problem, Let ##y=f(x)= (x-2)^2##. The graph of ##y=af(x)##can be obtained from the graph of ##y=f(x)## by a stretch parallel to the y- axis with scale factor ##a##. In our case here, ##a=3##, therefore the corresponding graph is as indicated in blue. Find my graph below using desmos.

Hello, in one of tasks of my liquid scintillation lab is to determine the average energy. You can see from the graph that data I obtained is similar to this one that I have a excel sheet data. X-axis is for beta particle energy from 0-156keV while y-axis counts of the particles. So according to...

a. Sketch the region of integration and evaluate the Integral b. Evaluate $V=5\displaystyle\int_0^8 \biggr[ x^3\biggr]_{(y-4)/2}^{y^{1/3}}\ dy \ =5\displaystyle\int_0^8 [(y^{1/3})^3-((y-4)/2))^3] \quad \ dy \ =5\displaystyle\int_0^8 \biggr [y-\dfrac{(y-4)^3}{8}\biggr] \ dy$ Expand...

I have a function in polar coordinates: t (rho, phi) = H^2 / (H^2 + rho^2) (1) I have moved the center to the right and want to get the new formulae. I use cartesian coordinates to simplify the transformation (L =...

I first attempted to find the x and y intercepts, algebraically, and discovered there were none. I then split the equation into y= log(x) - log(x+2) to see if that would give me any insight. It did not. I used a graphing calculator and saw many similarities between x/(x+2) and log((x/(x+2)) but...

I have a graph of mean signal (per pixel) vs exposure time (sec) for 8 different dark frames. I am being asked to find the bias in ADUs/pixel and the dark current in ADUs/sec/pixel and I am very confused on how I could get it. I know that the average of all of the mean signals is a rough guide...

a) I managed to obtain some results that are roughly around what is given in the answers. Because \varepsilon_{st} and \varepsilon_{\infty} are values of \varepsilon_{1}, I used this approximation: n\approx \frac{1}{\sqrt{2}} (\varepsilon_{1}+\sqrt{\varepsilon_{1}^2})^{1/2} -> \varepsilon_{1} =...

I tried to graph this equation, but all I am getting is a straight line that is x=0. I don't understand what I am doing wrong.

I know curvature (k) of a 2 dimensional graph y(x) is equal to y''/(1+(y')^2)^(3/2), were y' is the first derivative of y with respect to x, and y'' is the second derivative of y with respect to x. Is there a formula for the curvature at a point on a 3 dimensional graph z(x,y)? The curvature...

Summary:: We are currently studying basics of quantum mechanics. I'm getting the theory part but it's hard to visualise everything and understand. We are given this question to plot the function so if someone could help me in this. Plot the following function and the corresponding g²(x) g(x)...

Suppose there is a three dimensional graph (such as z=x^2+y^2). Suppose there is a point on the surface of the 3 dimensional graph, for example at (x,y,z)=(1,1,2). Suppose the point is moving along the surface (along a geodesic) according to a unit vector, such as <0,1,0>. Is there a...

I need an equation to graph a sine wave that act like a unit circle but only positive numbers. so I need it to be 0 at 0, A at 90 , 0 at 180, A at 270, 0 at 360, and A at 450 and so on and so on... Now I know sin(0) is 0 in degrees and sin(90) 1 and I know if you Square a number is...

If force= m•a would the answer just be the y-axis • 4.7 at the specific time such as A) 4.7 • 6 = 28.2? B) 4.7 • 12= 56.4 C) 4.7 • 3 = 14.1

I'm trying to find the quality factor of a damped system. I know 3 points from the graph, ##(t,x): (\frac{\pi}{120},0.5), (\frac{\pi}{80},0), (\frac{\pi}{16},0)## From this I found that ##T = \frac{\pi}{20}## ##\omega_d = \frac{2\pi}{T} = 40 rad## Then, from the solution ##x(t) = A_0...

Summary:: Please tell me an example Determine the distance traveled by the object between 0-7 s. Determine the acceleration of the piece in the range of 0-4 s Determine the acceleration of the piece in the range of 4-7 s.I've tried, but something I'm doing wrong. Could you clarify?

\begin{tikzpicture} [declare function = {radius(\phi)=sqrt((3*sin(\phi)+cos(\phi)) / (sin(\phi)^3 -cos(\phi)^3)); },] \draw[->] (-3,0) -- (3.4,0); \draw[->] (0,-2) -- (0,4.2); \draw[domain=50:{atan(-1/3)+179.99}, variable=\phi, red, smooth, ultra thick] plot ({radius(\phi) * cos(\phi)}, {1 +...

The probability that the lifespan of an insect of this species lies between 55 and 60 hours is represented by the shaded area in the following diagram.\\ Write down the values of a and b. $a=\dfrac{2}{4.4}= 0.455 b=\dfrac{3}{4.4}=0.682]$ ok this was a key to a test question from 2013 but mostly...

GRAPH WITH VALUES: Sorry I have a small dilema, I don't know if this is a exponential or polynomial function. I'd think its exponential but it doesn't have same change of factors.

This is from my notes: Point D is called ultimate tensile strength and defined as highest possible within this material. So it means that point D should be at the highest point of the graph (more like absolute maximum in math)? Because it seems that from the graph point D is not at maximum...

Option (A) and (B) is wrong because the waveform should be half-wave, not full-wave. But how to know whether it will be (C) or (D) based on the circuit given? Thanks

this had ahttps://mathhelpboards.com/threads/2-2-21-ivp.27772/ but wanted to add tikz graph orifinally authored by Klazs van Aarsen \begin{tikzpicture}%[scale=.6] [declare function = {radius(\phi)=sqrt((3*sin(\phi)+cos(\phi)) / (sin(\phi)^3 -cos(\phi)^3)); },] % \draw[help lines] (-3,-2) grid...

Hi, I was reading the following book about applying deep learning to graph networks: link. In chapter 2 (page 22), they introduce the graph Laplacian matrix ##L##: L = D - A where ##D## is the degree matrix (it is diagonal) and ##A## is the adjacency matrix. Question: What does an...

Given (a,b) is the coordinate just like (x,y). Find equation Zo and coordinate (a,b) ?Please help me Thank you in advance.

Hello everybody, I should evaluate the complexity of this graph coloring algorithm. To do this, I use the adjacency matrix in which the graph nodes are the elements on the diagonal, while the elements outside the diagonal indicate if a node is adjacent to another ##(A_{i,j} = 1)## or not...

$\tiny{\textbf{7.8.11 Campbell HS}}$ Find (A)mplitude, (P)eriod, PS, VS. graph 2 periods $y=3\cos(\pi x-2)+5$ by observation we have A=3 and VS=5 ok assume $\omega=\pi$ so if period is $T=\dfrac{2\pi}{\omega}$ then $T=\dfrac{2\pi}{\pi}=2$

$\tiny\textbf{7.8.a09 Radford HS}$ Find amplitude, period, PS, VS. then graph. $y=\cos\left(x+\dfrac{\pi}{2}\right)$For the graphs of $y=A\sin(\omega x - \phi)$ or $y=A\cos(\omega x - \phi),\omega>0$ Amplitude $=|A|$ Period $T=\dfrac{2\pi}{\omega}=\dfrac{2\pi}{2}=\pi$ PS...

Hello everybody! I have to implement a sudoku solver in C ++ taking advantage by graph coloring theory, where each number to insert is a color of the associated graph node. In particular I would like to use the Welsh-Powell algorithm. I find myself in trouble starting with this project and I...

My reasoning: Gradient of graph = v/s = t t increasing therefore gradient increasing So graph B The answer is C.

Use a graph to investigate limit of f(x) as x→c at the number c. Note: c is given to be 2. This number comes from the side conditions of the piecewise function. See attachments. lim (x + 2) as x tends to c from the left is 2. lim x^2 as x tends to c from the right is 4. LHL does not...

Use the graph to investigate the limit of f(x) as x tends to c at the number c. See attachments. Based on the graph of f(x), here is what I did: lim (2x + 1) as x tends to 0 from the left is 1. lim (2x) as x tends to 0 from the right is 0. LHL does not equal RHL. I conclude the limit of...

Use the graph to investigate (a) lim of f(x) as x→2 from the left side. (b) lim of f(x) as x→2 from the right side. (c) lim of f(x) as x→2. Question 18 For part (a), as I travel along on the x-axis coming from the left, the graph reaches a height of 4. The limit is 4. It does not matter if...

For questions 24 and 26, Use the graph to investigate limit of f(x) as x→c. If the limit does not exist, explain why. Question 24 For (a), the limit is 1. For (b), the limit is cannot be determined due to the hole at (c, 2). For (c), LHL does not = RHL. I conclude the limit does not exist...

Summary:: Graphs and Limits Use the graph to determine the limit of the piecewise function as x tends to 1. Let me see. lim of (-x + 3) as x-->1 from the left is 2. lim of (2x) as x-->1 from the right is 2. I can safely say that the limit of f(x) as x tends to 1 from the left and right...