3? − 1, −5 ≤ ? < 1 ?(?)= { 4,1≤?≤3 6 − ?, 3 < ? ≤ 5 How do I graph this?
(3) Prove that the sequence fn (x(max10,z - n))2 does not converge uniformly on IR, but converges uniformly on compact subsets of R (3) Prove that the sequence fn (x(max10,z - n))2 does not converge uniformly on IR, but converges uniformly on compact subsets of R
Computer Theory 3. (a) Prove that the language LH IR(M) w machine M halts with input w is "recursively enumerable" (b) Prove that LH is not "recursive"
. Let A be an n × n matrix. Prove that dim(span({In, A, A2,...})) ≤ n.
1) Prove following Fourier transform: x(t)cos (Wot+0) 3 jx(w-wo)el® + X(w+w)e=;8]
2. Let M,, be equipped with the standard inner product. Prove. u is orthogonal W-span w,w,w) 3 -1 note: You must use some of the axioms in the definition of an inner product 2. Let M,, be equipped with the standard inner product. Prove. u is orthogonal W-span w,w,w) 3 -1 note: You must use some of the axioms in the definition of an inner product
Calculate resistance between terminals 1 and 2, 1 and 4,1 and 3, 2 and 4, 3 and 4, and 2 and 3 R1 10Ω 2 20 Ω 1 3 30 Ω | | R4 40Ω 4 Rs 50 Ω
Assume that f: [o,67づIR is continuows, Prove that there ore Assume that f: [o,67づIR is continuows, Prove that there ore
(2) Define the set AC by A -{int el: n-0 (d) Prove that A is compact. (2) Define the set AC by A -{int el: n-0 (d) Prove that A is compact.
Find the area of the parallelogram with vertices at A=(4,1, -1), B = (5, -6, -3), C = (-1, 2, –5), and D= (0, -5, -7). a) "V971 ob) 27/563 V 1595 od) " 3/59 e) <> 4V131