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Describe in words the neighborhoods below for each of the following metrics. ( 5 points each part) a. For R2 d ( (x1, X2), (Y1 yz) ) = 1 if Euclidean distance > 1 Euclidean distance otherwise N...
The distance, d, between two points, (x1,y1)(x1,y1) and (x2,y2)(x2,y2), can be found using the formula d=√(x2−x1)^2+(y2−y1)^2....
The distance, d, between two points, (x1,y1)(x1,y1) and (x2,y2)(x2,y2), can be found using the formula d=√(x2−x1)^2+(y2−y1)^2. How can you rearrange the given formula to correctly find y2?
1) Consider the function d to be the “taxicab” distance in the xy plane(R2). The word...
1) Consider the function d to be the “taxicab” distance in the xy plane(R2). The word taxicab refers to only counting distance along vertical or horizontal segments, like a taxi in Manhattan. The “distance” between 2 points p = (x1,y1) and q = (x2,y2) is : d(p,q) = |x1 – x2| + | y1 – y2| Example: d((2,-7),(4,8))= |2-4| +|-7-8| = 2+15 =17. Prove the taxicab distance is a metric on R2.
The parametric equations below describe the line segment that joins the points P1(X1,Y1) and P2(x2,12). Consider...
The parametric equations below describe the line segment that joins the points P1(X1,Y1) and P2(x2,12). Consider the triangle A(1, 1), B(4,2), C(1, 4). Find the parametrization, including endpoints and sketch to check. X = X1 + (x2 - X1) y = V1 + (Y2 - Y1)t Ostsi (a) A to B x(t) = 1 + (2-1) y(t) = 1+(3-1) ostsi (b) B to C x(t) = (t) = Ostsi (c) A to C X(t) = y(t) = Ostsi
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1...
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
Show normal approximation of below Fdistribution: d N(0,2(y1(1-r)-1)) When F F(r,2) then Vr r2 (Fr-1) Here, limit assum...
Show normal approximation of below Fdistribution: d N(0,2(y1(1-r)-1)) When F F(r,2) then Vr r2 (Fr-1) Here, limit assumes that ri,r2 are increasing as below 1 0o, y(0 <y< 1) 10,T2
Show normal approximation of below Fdistribution: d N(0,2(y1(1-r)-1)) When F F(r,2) then Vr r2 (Fr-1) Here, limit assumes that ri,r2 are increasing as below 1 0o, y(0
Theoretical Part 1. Consider the problem of computing f(x)dx, where f(x) could be any function. Letting X1, X2 IID...
Theoretical Part 1. Consider the problem of computing f(x)dx, where f(x) could be any function. Letting X1, X2 IID ~U[0, 2, define three very simple estimators: ff(0)f(2), i2= f(X1)f(X2), fi3 = f(X1/2) + f((X2+2)/2) (a) (5 points) Is ft an unbiased estimator of u? (b) (5 points) Is i2 an unbiased estimator of ? (c) (5 points) Is 3 an unbiased estimator of ? (d) (10 points) Compute the variance of each of the three estimator when f(x) x
Theoretical...
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) sol...
just problem number 4 please!
thank you!
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) solve the initial v stability of the critical point at (0,0) 1. alue problem, and (b) determine the type and x' =-4x1 + 5x2 X2,--5x1 + 4x2 x1(0) -16, x2(0) 25. x'= 6x1 + x2 x1(0) 6, X2(0) = 4 2. xi(12345e) 55, X2(12345e)--729 3 xi-43x Xi(-101) = 9, x2(-101) 5 4 x' = 2x1-x2 x2,=...
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates...
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates of a system don't have components over the coordinates, we determine that they are D. Rectangular A. Orthogonal C. Inclusive 7. A vector V1 (x=4, y-6, z-8), which is the magnitude of the projection on the YZ plane A) 10 X 1 V 1 B) 8.5 C 13...
Suppose we are given two sorted arrays (nondecreasing from index 1 to index n) X[1] ·...
Suppose we are given two sorted arrays (nondecreasing from index 1 to index n) X[1] · · · X[n] and Y [1] · · · Y [n] of integers. For simplicity, assume that n is a power of 2. Problem is to design an algorithm that determines if there is a number p in X and a number q in Y such that p + q is zero. If such numbers exist, the algorithm returns true; otherwise, it returns false....
We are given n,x1,x2,...,xn,d1,d2,...,dn,D. The graph is not given and it should be constructed. The time...
We are given n,x1,x2,...,xn,d1,d2,...,dn,D. The graph is
not given and it should be constructed. The time it takes to
construct a graph is part of the overall time complexity, so it
should be included.
The solution is your algorithm, which includes the graph
construction. It is fine if the algorithm consists of several
parts, which perform different tasks. The algorithm should return
the actual path.The proof and run-time analysis should be provided
for the entire solution/algorithm.
Please show your wrok....
The parametric equations below describe the line segment that joins the points P1(X1,Y1) and P2(x2,12). Consider the triangle A(1, 1), B(4,2), C(1, 4). Find the parametrization, including endpoints and sketch to check. X = X1 + (x2 - X1) y = V1 + (Y2 - Y1)t Ostsi (a) A to B x(t) = 1 + (2-1) y(t) = 1+(3-1) ostsi (b) B to C x(t) = (t) = Ostsi (c) A to C X(t) = y(t) = Ostsi
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
Show normal approximation of below Fdistribution: d N(0,2(y1(1-r)-1)) When F F(r,2) then Vr r2 (Fr-1) Here, limit assumes that ri,r2 are increasing as below 1 0o, y(0 <y< 1) 10,T2
Show normal approximation of below Fdistribution: d N(0,2(y1(1-r)-1)) When F F(r,2) then Vr r2 (Fr-1) Here, limit assumes that ri,r2 are increasing as below 1 0o, y(0
Theoretical Part 1. Consider the problem of computing f(x)dx, where f(x) could be any function. Letting X1, X2 IID ~U[0, 2, define three very simple estimators: ff(0)f(2), i2= f(X1)f(X2), fi3 = f(X1/2) + f((X2+2)/2) (a) (5 points) Is ft an unbiased estimator of u? (b) (5 points) Is i2 an unbiased estimator of ? (c) (5 points) Is 3 an unbiased estimator of ? (d) (10 points) Compute the variance of each of the three estimator when f(x) x
Theoretical...
just problem number 4 please!
thank you!
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) solve the initial v stability of the critical point at (0,0) 1. alue problem, and (b) determine the type and x' =-4x1 + 5x2 X2,--5x1 + 4x2 x1(0) -16, x2(0) 25. x'= 6x1 + x2 x1(0) 6, X2(0) = 4 2. xi(12345e) 55, X2(12345e)--729 3 xi-43x Xi(-101) = 9, x2(-101) 5 4 x' = 2x1-x2 x2,=...
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates of a system don't have components over the coordinates, we determine that they are D. Rectangular A. Orthogonal C. Inclusive 7. A vector V1 (x=4, y-6, z-8), which is the magnitude of the projection on the YZ plane A) 10 X 1 V 1 B) 8.5 C 13...
We are given n,x1,x2,...,xn,d1,d2,...,dn,D. The graph is
not given and it should be constructed. The time it takes to
construct a graph is part of the overall time complexity, so it
should be included.
The solution is your algorithm, which includes the graph
construction. It is fine if the algorithm consists of several
parts, which perform different tasks. The algorithm should return
the actual path.The proof and run-time analysis should be provided
for the entire solution/algorithm.
Please show your wrok....
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