Compute the VC dimension of the following hypothesis sets. (i) H = {h : R → {−1, +1}|h(x) = +1, ∀x ∈ [a, [infinity]), a ∈ R} ∪ {h : R → {−1, +1}|h(x) = +1, ∀x ∈ (−[infinity], a], a ∈ R}. To clarify, the first subset is the positive ray, and the second subset is the negative ray. So the union is the set of all positive rays and negative rays. (ii) H = {h : R → {−1, +1}|h(x) = +1, ∀x ∈ [a, b], a, b ∈ R} ∪ {h : R → {−1, +1}|h(x) = −1, ∀x ∈ [a, b], a, b ∈ R}. So this is the union of the positive intervals and the negative intervals. (iii) H = {h : R 2 → {−1, +1}|h(x) = +1, ∀x where kxk2 ≤ b, b ∈ R}. Note that this is a concentric circle. (iv) H = {h : R 2 → {−1, +1}|h(x) = +1, ∀x where kx − ak2 ≤ b, a ∈ R 2 , b ∈ R}.

the y will be in still but your answer will be y x 3

step-by-step explanation:

jk: )

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb