Given image threshold is t1, result threshold is t2
if t1>t2, result threshold fell short of image threshold
it will be treated as background, or assigned to correspoding result('0')
if t1<t2, result threshold exceed image threshold
so, result passed the threshold test, will be considered foreground, or assigned to correspoding result('1')
1. Suppose you thresholded an image at value ti, and thresholded the result at value t2....
5. (20 pts). Solve the following initial-value problem: Ut + 2uuz - 0<x<, 0 <t<oo 0 1 <1 > 1 u(t,0) = Then draw the solution for different values of time.
(2) Suppose V F = (ex: -2yre?",0). Compute SS (V F). ds, where is the upper unit hemisphere r? + y + z2 = 1, 2 > 0. (Hint: Can you use result of 1 and a more convenient surface over which to integrate?)
Consider the differential equation e24 y" – 4y +4y= t> 0. t2 (a) Find T1, T2, roots of the characteristic polynomial of the equation above. 11,12 M (b) Find a set of real-valued fundamental solutions to the homogeneous differential equation corresponding to the one above. yı(t) M y2(t) = M (C) Find the Wronskian of the fundamental solutions you found in part (b). W(t) M (d) Use the fundamental solutions you found in (b) to find functions ui and Usuch...
For this problem, you will use the following equation in your calculations, where f(ti) = a, a > 0, f(t) = b, and both g and flare continuous on (t1, tz]. 5° y dx = *ocer ces de 1 g(t)f '(t) dt Find the area of the region. x = 2 sin2 y = 5 sin tane 03A - 2
2. Suppose that X Binom(n,p) such that n>1 and 0 <p<1. Show that E[(x + 1)-1 = _(1 – p)p+1 – 1 p(n + 1)
8. Let f:D → R and let c be an accumulation point of D. Suppose that lim - cf(x) > 1. Prove that there exists a deleted neighborhood U of c such that f(x) > 1 for all 3 € Un D.
Construct a PDA that accepts {a"ba" bn | n0Am >0};
Exponential(). That is Y has a density function of the form 7. Let Y Ay f(y) = de"^9,y> 0 where 0. Show that: (a) If a >0 and b > 0, then P(Y > a + b|Y > a) = P(Y > b) (b) E(Y) 1/A
Determine the truth value of each of these statements if the domain consists of all integers. (4 x 2.5 = 10pts) (a) Vx(x+1>r) (b) 3.c((2.x = 3.r) + (370)) (c) Vr(x2 + 2x) (a) Vr(V x2 – 7 = r - 7)
N> 95 tvrns (ngk1 n_ins.ns