Using lambda calculus, perform the aplha transformation and beta
reduction of the following expression: λx . x y λz . x z
Then, explain why the transformation was needed and how the
reduction was performed.
Multivariable calculus
Evaluate: ∮ 3? 2 ?? + 2???? using two different methods. C is
the boundary of the graphs C y = x2 from (3, 9) to (0, 0) followed
by the line segment from (0, 0) to (3, 9).
2. Evaluate: ∮(8? − ? 2 ) ?? + [2? − 3? 2 + ?]?? using one
method. C is the boundary of the graph of a circle of radius 4
oriented counterclockwise
What is an S-expression? What is a cons cell? What is an atom? A pair? A list? What do car and cdr do? What do the map and reduce functions do? Write a recursive function to compute the length of a list. Write a function to compute the length of a list using reduce.
1) What is ribosome profiling?
2) In your opinion, what are the
advantages of ribosome profiling for the gene expression study of
bacteriophage lambda?
Evaluate the following logical expression. Choose True if the
expression evaluates to true; choose False if the expression
evaluates to false.
(3 * 5 > 10) || (20 < 15)
True
False
Evaluate the following logical expression. Choose True if the
expression evaluates to true; choose False if the expression
evaluates to false.
"Medium" < "High"
True
False
Evaluate the following logical expression. Choose True if the
expression evaluates to true; choose False if the expression
evaluates to false.
(4...
For the following pair of functions, ?(?) = ? 2 − 2, ?(?) = √? −
3 Find each of the following, and State its Domain: a) Find (f +
g)(x)
b) Find (f – g)(x)
c) Find (f*g)(x)
d) Find (f*f)(x)
e) Find (f/g)(x)
Wildlife corridors are sometimes constructed to promote
migration between fragmented populations. What does the equation:
FST ~ 1/(4Nem + 1) tell us about the potential effect of those
corridors on population genetic structure of the populations? Why
might the corridors be beneficial to the populations who use them,
for both short and long-term persistence?