4. Work out the two expressions for any two vectors |a> and |B>: <BI) (la> +...
1. Expressions for Burgers vectors for FCC and BCC crystal structures, are of the form, b= a/2 <uvw> where a is the unit cell edge length. a. Describe the magnitude of Burgers vectors of dislocations that will glide on the most effective slip system in FCC and BCC crystals respectively. b. Determine the values of bl for aluminum and chromium.
Find two unit vectors orthogonal to both 1 = (4, 2, 4) and 7 (0,3, 8). Enter the two vectors in the form <a,b,c>, separated by commas. All the components should be in exact form (i.e. no decimal entries allowed). unit vectors = Submit Question
1. Consider the following BNF definition of arithmetic expressions: <expression> <expression>+ <term> | <expression>-<term> <term> <term> ::= <term>*<factor> <term>/<factor> | <factor> <factor> :: <digit>«<exponent> | <didgit>^«<exponent> <digit>(<expression> <digit>:= 01|2|3|4151617181910. <exponent> :: <sign> <val> <sign>=+1 - <val 1121314 Draw the expression trees of the following expressions, parsed according to the BNF above. a) 46 - 6/4-243. b) 4*6 -(6/4 - 243) c) 31-2-3*2 + 3/2 d) 3^2*5. e) ((3^2)).
4. A regular expression for the language over the alphabet fa, b) with each string having an even number of a's is (b*ab*ab*)*b*. Use this result to find regular expressions for the following languages a language over the same alphabet but with each string having odd number of a's. (3 points) a. b. a language over the same alphabet but with each string having 4n (n >- 0) a's. (3 points)
4. Consider our standard LP: maxc.x subject to Ax <b and x > 0. Assume every entry of A is strictly positive and b > 0. Deduce that the LP has an optimal solution.
4. Let A = {x EZ|x>10) and B = {x EZ|X<-10). Is A U B countable? Why? 5. What is the term al of the sequence {a") if a" = 2-!?
Display the vectors T (t), N (t), B(t) for a point that travels along n the helix using Geogebra 3D r(t) =< cost, t, sint >, 0 <t< 41 Show the T vector in Blue Show the N Vector in Yellow Show the B Vector in Red
For any two numbers p and q, which of the following must be true? A. Ip+al 2 Ipl + 191 B. Ip-al s lpl - 191 C. Ip-al>o D. Ip.al 2p.q
B] <P[AP[B], and of two events A and B Give an example of two events such that P[ A with P[An B] > P[A]P[B].
Part A Review For the three vectors shown in (Figure 1), AB+C-1j. What is vector B? Write B in component form. Express your answer in terms of the unit vectors i and j. Use the 'unit vector' button to denote unit vectors in your answer 0四 Subnit Part B What is the magnitude of B? Express yo ur answer using two significant figures. Figure 1 of 1> Submit Part C What is the direction angle of B measured clockwise from...