S = {(2,5,3)} and T = {(2,0,5)} are two clusters. Two clusters that S and T...

S = {(2,5,3)} and T = {(2,0,5)} are two clusters. Two clusters that S and T spans are L(S) and L(T) . Is the intersection of L (S) and L (T) a vector space? If yes, find this vector space. If no, explain why there is no vector space.

Expert Solution

milcah answered 2 years ago

Compare and contrast the properties of open clusters and globular clusters. Indicate at least TWO way...

Compare and contrast the properties of open clusters and globular clusters. Indicate at least TWO way that they are similar? Indicate at least TWO way that they are different?

Given two sets S and T, the direct product of S and T is the set...

Given two sets S and T, the direct product of S and T is the set of ordered pairs S × T = {(s, t)|s ∈ S, t ∈ T}.Let V, W be two vector spaces over F. (a) Prove that V × W is a vector space over F under componentwise addition and scalar multiplication (i.e. if (v1, w1),(v2, w2) ∈ V × W, then (v1, w1) + (v2, w2) = (v1+w1, v2+w2) and a(v, w) = (av, aw)...

how do you figure out "s" and "t" for balanced polymorphism? pE=t/(s+t) qE=s/(s+t)

Show that Cp = T(∂S/∂T)p and Cv = T(∂S/∂T)V

Gaussian Mixture Model: the initial means and variances of two clusters in a GMM are as...

Gaussian Mixture Model: the initial means and variances of two clusters in a GMM are as follows: ?(1)=−3, ?(2)=2, ?21=?22=4. Let ?1=?2=0.5. Let ?(1)=0.2, ?(2)=−0.9, ?(3)=−1, ?(4)=1.2, ?(5)=1.8 be five points that need to cluster. Need to find 1) p(1|1) 2) p(1|2) 3) p(1|3) 4) p(1|4) 5) p(1|5)

Type or paste question here ax+by+c=0.ax+by+c=0. Let (s′,t′)(s′,t′) be the reflection of the point (s,t)(s,t) in...

Type or paste question here ax+by+c=0.ax+by+c=0. Let (s′,t′)(s′,t′) be the reflection of the point (s,t)(s,t) in ℓℓ. Find a formula that computes the coordinates of (s′,t′)(s′,t′) if one knows the numbers s,t,a,bs,t,a,b and cc. Your formula should depend on the variables s,t,a,bs,t,a,b and cc. It should work for arbitrary values of s,t,a,bs,t,a,b and cc as long as (a,b)≠(0,0)(a,b)≠(0,0). Its output should be a point.

assume that s and t are independent exponentially distributed, set u = min(s,t), v = max(s,t)....

assume that s and t are independent exponentially distributed, set u = min(s,t), v = max(s,t). prove that u and w = v-u are independent

Suppose S = {p, q, r, s, t, u} and A = {p, q, s, t}...

Suppose S = {p, q, r, s, t, u} and A = {p, q, s, t} and B = {r, s, t, u} are events. x p q r s t u p(x) 0.15 0.25 0.2 0.15 0.1 (a) Determine what must be p(s). (b) Find p(A), p(B) and p(A∩B). (c) Determine whether A and B are independent. Explain. (d) Arer A and B mutually exclusive? Explain. (e) Does this table represent a probability istribution of any random variable? Explain.

Calculate the average energy U(T) and entropy S(T) of a paramagnet with two energy states ±μH...

Calculate the average energy U(T) and entropy S(T) of a paramagnet with two energy states ±μH in the presence of magnetic field H. Take the limits of high and low temperature and draw schematically the U(T) and S(T) dependences for two different values of H.

An object’s position above the ground, s(t), in meters, after t seconds is given by s(t)...

An object’s position above the ground, s(t), in meters, after t seconds is given by s(t) = 16t2+120t+6. (a) What is the position of the object at time t = 3 seconds? ( b) Find the velocity of the object as a function of t. (c) Find the object’s acceleration at any time t. (d) When is the velocity of the object 56 m/s? (e) Find the position of the object at the time when the velocity is 56 m/s....

Question