Points Definition and 1000 Threads

I'm working on an Android app which let's a group of child to draw whatever they want in a specific area. I need to check if the lines and figure that they draw are symmetric. The problem is that since the app is designed to let them draw freehand, I don't know how to compare the lines by...

Consider a one to one transformation of a ##3##-##D## volume from variable ##(x,y,z)## to ##(t,u,v)##: ##\iiint_V dx\ dy\ dz=\int_{v_1}^{v_2}\int_{u_1}^{u_2}\int_{t_1}^{t_2} \dfrac{\partial(x,y,z)}{\partial(t,u,v)} dt\ du\ dv## ##(1)## Now for a particular three dimensional volume, is it...

find an equation of the circle passing through the given points 85 Given $(-1,3),\quad (6,2),\quad (-2,-4)$ since the radius is the same for all points set all cirlce eq equal to each other $(x_1-h)^2+(y_1-k)^2=(x_2-h)^2+(y_2-k)^2=(x_3-h)^2+(y_3-k)^2$ plug in values...

Find the set of cluster points for the set A := {(−1)n/n : n ∈ N}. Justify your answer with proof. I believe 0 is a cluster point but I can't figure out how to prove this, or how to prove any other point is not. Any quick help would be appreciated. Thanks.

##{dx}^2+{dy}^2=3^2+3^2=18## ##{dr}^2+r^2{d\theta}^2=0^2+3^2*(\theta/2)^2\neq18## I have a feeling that what I'm doing wrong is just plugging numbers into the polar coordinate formula instead of treating it as a curve. For example, I naively plugged in 3 for r even though I know the radius...

If for a field say ##f=xyz## ,it's value is defined at 10 points in the 3-D Cartesian co-ordinate system...now using these 10 values of f and the corresponding coordinates is it possible to find the value of f at any ##(x,y,z)## of choice??

Good evening to everybody! I have a question concerning monolayer graphene. In all the papers I read it is well specified that K and K' in graphene are not equivalent points, but I didn't find anywhere where is the difference between them. Can anybody tell me where this difference is coming...

It turns out that the solid form is the same for the two situations but the liquid is two different isomers depending on external conditions during melting. https://physicstoday.scitation.org/do/10.1063/PT.6.1.20190606a/full/

In Euclidean geometry (and even in measure theory, see for example Stein and Shakarchi's Real Analysis), distance in the real numbers is defined as the difference of the real numbers, and area of a square is understood as the product of the distances defining the given square (and the same for...

I want to compute the gradient of some smooth function at many points by taking the value of the function at point x(i) subtracted from the value of the function at point x(i+1) and then divide the result by ( x(i+1)-x(i) ). My function has a struct as an argument and within that struct I have...

As I was flipping through pages of my analytic geometry book from high school, in circle section I stumbled across the formula of "family of circles intersecting at two points" with two circles (##x^2 + y^2 + D_1 x + E_1 y + F_1 = 0## , ##x^2 + y^2 + D_2 x + E_2 y + F_2 = 0##) known to intersect...

Hi! I am aware that standard fitting numerical methods like Levenberg-Marquardt, Gauss-Newton, among others, are able to fit a dataset z = f(x,y) to a quadratic surface of the form z = Ax2 + Bxy + Cy2 + Dx + Ey + F, where A to F are the coefficients. Is there a simpler method that exists? I'm...

I'm not really sure how to do this. Maybe somehow I should transform the density function. Can you give me a hint?

If the derivative of a function f is given by $$f'(x)=\frac{1}{5}(x^2-4)^5-x^2$$ how many points of inflection will the graph of the function have?solution find $f"(x)$ $$f''(x)=2x((x^2-4)^4-1)$$ at $f''(x)=0$ we have factored $$2 x (x^2 - 5) (x^2 - 3) (x^4 - 8 x^2 + 17) = 0$$ then...

I am making a Scratch 3.0 game. The shooter sprite is holding a gun slightly off-centre (see images), and I need the bullet to go to the end of the barrel of the gun before traveling forward (as so it would appear the bullet it leaving the gun). The issue is, to do this, I need to find the X and...

I've noticed that a lot of these pictures are like this. Is it something to do with the error in the machining of the lenses?

Homework Statement Let ##V## be a Banach space. Let ##f:V\to V## and ##g:V\to V## be two ##q##-contracting maps, ##q\in(0,1)##. Assume they are uniformly close to each other. Show the distance between fixed points of ##f,g## is at most ##\epsilon/(1-q)##. Homework Equations Definitions...

Homework Statement Let ##A## and ##B## be two given points, ##l## a given line. Find the point ##P## on ##l## such that ##|AP-PB|## is a maximum. Homework EquationsThe Attempt at a Solution Suppose that the line ##l## and the line that goes through ##A## and ##B## (call it ##\ell_{AB}##) are...

Homework Statement I have made a number of measurements of current against optical power for a given laser. As shown below, my measurements only go up to 8 amps. I am trying to use the data to predict the output power at 9 amps. In the ideal case, the behaviour is expected to be linear, but...

Homework Statement see pic uploadedHomework Equations Pascal principal p = ρgh The Attempt at a Solution Pressure at C and D is the same . Pressure at A and B is the same ? I believe it is

Homework Statement A cylinder rolls without slippage on a horizontal plane. The radius of the cylinder is equal to r. Find the radious of curvature of the trajectory of points A and B. Homework Equations Ciruclar motion equations. ##R=\frac{1}{C}## The Attempt at a Solution First I drew the...

If X is a metric space, what is the simplest sufficient condition for d(x,y)<∞, ∀ x, y ∈ X?

Homework Statement We were given a tutorial to complete which I did complete. Now the question is: By modifying the appropriate lines in your script file, find the values of a, b, c, and d so that the cubic polynomial  y = ax3 + bx2 + cx + d  passes through the (x, y) pairs (-1, 3), (0, 8)...

Let's say we have a somewhat complex polygon shape. We know the list of 2d vectors that make up its border loop. Now let's say i want to create a list of points within this polygon. Currently i am using ray traces to create a grid of points that fall within the polygon. I'm certain there is...

Homework Statement Parallel water waves of wavelength 10 m strike a straight sea wall. The wavefronts make an angle 30o with the wall. What is the difference in phases between the waves at two points 5 m apart along the wall? a. 30o b. 45o c. 90o d. 156o e. 180o Homework Equations Δφ = Δx / λ...

Why quartz has a higher melting Temperature than glass? Which one is harder and why?

Homework Statement P(3, 0, 3), Q(−2, 1, 5), R(6, 2, 7) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. (b) Find the area of the triangle PQR Homework Equations A = \frac{1}{2}|\vec{AB}\times\vec{AC}| Source...

If this is better for the HW section please tell me, sorry about that. So Voltage is the change in potential. I'm puzzled by how potential in circuits is the same along different points until we reach a resistor - at which point the potential changes. As in, if we take two points before a...

How do you know whether two points ##p## and ##q## of a manifold have the same tangent space? If the two tangent spaces are equal, then the vectors in the two tangent spaces are exactly the same. I suspect that it's equivalent to picking a vector at ##p## and dragging it to ##q## and the vector...

I am working on a classical real analysis problem as follow: The answers from solution manual are respectively $ int (A) = \emptyset$ and $bd (A) = \{0\} \cup \{ \frac{1}{n} | n \in \mathbb N \}$. And here are my textbook's definition of interior point and border point: And then there is...

Hello all. Just a quick fyi...I have never taken a physics class although I did want to in high school (many years ago). I am just looking for an answer to a very complicated (yet simple looking on the outside) problem I am having. In my job (towing 13 years) I use physics daily even though I...

Homework Statement There are five points on a plane. There is no line that passes trough exactly two points. Prove that five points are collinear. Homework Equations - The Attempt at a Solution I am just trying to confirm that my proof is correct. I am trying to prove this by contradiction...

Hello! I attached a picture of the LHC main rings. I see 8 interactions points labeled, even if there are only 4 experiments (and the other 4 points don't even intersect). What are these 4 other points? Thank you!

So the question is...From point C on the ground level, the angle of elevation to the top of a tree is 30 degrees. From point D, which is closer to the tree, the angle of elevation is measured to be 45 degrees. Find the distance between points C and D if the height of the tree is 4m. I know...

How do you know if two given points on a manifold have the same tangent space? Checking if a vector does not change when transported from one point to the other is enough?

x*abs(y)*(y+x^2+x)=f(x,y) so, on normal points they are tangent vectors on some point in the chosen direction. how about in critical points, where there shouldn't be any on a geometrical standpoint? can i say they exist if i get them with the definition? or the result i get has no value? like...

Homework Statement I have to calculate the critical points of the following system. $$x'=cx+10x^2$$ $$y'=x-2y$$ The Attempt at a Solution So I solve the system $$cx+10x^2=0$$ $$x-2y=0$$ So if $$x=2y$$ I have $$2yc+10*4y^2=2yc+40y^2=y(2c+40y)=0$$ and I get $$y=0$$ and $$y=-\frac{c}{20}$$ f I...

I'm trying to build an oval bicycle wheel and need a formula to calculate the radii so that I can use the results to calculate the length for each spoke. See diagram for details. Hope someone can help.

Homework Statement Let us have ##n \geq 3## points in a square whose side length is ##1##. Prove that there exists a graph with these points such that ##G## is connected, and $$\sum_{\{v_i,v_j\} \in E(G)}{|v_i - v_j|} \leq 10\sqrt{n}$$ Prove also the ##10## in the inequality can't be replaced...

Sorry if this has been done elsewhere but I haven't seen it. Case: At the start a craft with a pilot is collocated at a position with a clock A with a second clock B one light hour away synchronized with A. All are motionless relative to each other. Clock A reads noon and B reads 11am. Good...

As the go-to-guy for first generation 6-cylinder Mustangs, I have an unusual question. With a carburetor type engine, operation at 1000 to 5000 rpm, is a modern electronic ignition truly better than a hot points system? After studying both types it seems newer ignitions make a hotter spark but...

I apologize for creating a new thread which has significant overlap with two other ongoing threads ("Quantization isn't fundamental", "Atiyah's arithmetic physics"). But both those threads discuss theories or paradigms of extreme breadth, whereas here I want to focus on a very specific bundle of...

Homework Statement Give an example of a non-linear discrete-time system of the form x1(k + 1) = f1(x1(k), x2(k)) x2(k + 1) = f2(x1(k), x2(k)) With precisely four singular points, two of which are unstable, and two other singular points which are asymptotically stable. Homework Equations J =...

Hello, I was given f(-4x)= 1/(1+4x), and I used the geometric series to find the power series representation of this function. I then took the limit of (-4x)^k by using ratio test. The answer is abs. value of x. So -1/4<x<1/4 I then plugged in those end points to the series going from k=0 to...

Justify the following by using table, graph and equation. use words to explain each representation f(X) = 2 x2 - 8x and g(x) = x2-3x+ 6 the points (-1,10) and (6,24)

I am having a little trouble in understanding a few points of colligative properties. Any help will be appreciated. First, let's consider RLVP. We know that addition of a non-volatile solute decreases the vapor pressure of a pure volatile solvent. However, I am getting confused between the...

Homework Statement Let G=x^2i+xyj+zk And let S be the surface with points connecting (0,0,0) , (1,1,0) and (2,2,2) Find ∬GdS. (over S) Homework EquationsThe Attempt at a Solution I parametrised the surface and found 0=2x-2y. I’m not sure if this is correct. And I’m also uncertain about...

Homework Statement Let ##f:\Bbb{R} \to \Bbb{R}## be a function such that ##f## has a local minimum for all ##x \in \Bbb{R}## (This means that for each ##x \in \Bbb{R}## there is an ##\epsilon \gt 0## where if ##\vert x-t\vert \lt \epsilon## then ##f(x) \leq f(t)##.). Then the image of ##f## is...

Homework Statement Forces of 11.8N north, 19.2N east, and 15.9N south are simultaneously applied to a 3.93kg mass as it rests on an air table. What is the magnitude of its acceleration? What is the direction of the acceleration in degrees? (Take east to be 0 degrees and counterclockwise to be...

Are the points (1,0) and (0,1) collinear?