Which one of the following languages over the alphabet {0,1} is
described by the regular expression...
Which one of the following languages over the alphabet {0,1} is
described by the regular expression
(0+1)* 0 (0+1)* 0 (0+1)* ?
a.The set of all strings that begin and end with either 0 or
1
b.The set of all strings containing at most two zeros
c.The set of all strings containing at least two zeros.
d.The set of all strings containing the substring 00
Automata Theory and Formal Languages
Problems 1: Consider the following two
grammars.
Grammar G1- S →...
Automata Theory and Formal Languages
Problems 1: Consider the following two
grammars.
Grammar G1- S → aSb / ∈ Grammar G2- S → aAb / ∈, A → aAb / ∈
a. is G1=G2
b. What is the grammar generated by the expression
Problem 2: Let us consider the grammar.
G2 = ({S, A}, {a, b}, S, {S → aAb, aA → aaAb, A → ε } )
Derive aaabbb
Problem 3: Suppose we have the following
grammar.
G: N...
1. The
following data set is the number of hours that a sample of college
students...
1. The
following data set is the number of hours that a sample of college
students
spent studying for a
test:
0,
0, 0 , 3, 3, 5, 6, 6, 8, 10, 12, 15
a)Find the 5-number summary for this data: Low,
Q1.Q2,Q3 High
b) Use the 5-number summary to make a
box-and-whisker plot for this set of data. Be sure to use a number
line with an appropriate scale.
c) Based on the box-and-whisker plot, is...
Give the name, give the symbol, or given the symbol, give the
name for the following...
Give the name, give the symbol, or given the symbol, give the
name for the following elements: Period 1, Period 2, Period 3, From
Period 4: K, Ca, Cr, Mn, Fe, Co, Ni, Cu, Zn, Br, From period 5: Ag,
Sn, I, From period 6: W, Au, Pb, From period 7: U
3. Identify elements by group number and period number.
4. Identify the alkali metals, alkaline earth metals, halogens,
and noble gases.
5. Identify an element as a metal,...
6) (8 pts, 4 pts each) State the order of each ODE, then
classify each of...
6) (8 pts, 4 pts each) State the order of each ODE, then
classify each of them as
linear/nonlinear, homogeneous/inhomogeneous, and
autonomous/nonautonomous.
A) Unforced Pendulum: θ′′ + γ θ′ + ω^2sin θ = 0
B) Simple RLC Circuit with a 9V Battery: Lq′′ + Rq′ +(1/c)q = 9
7) (8 pts) Find all critical points for the given DE, draw a phase
line for the system,
then state the stability of each critical point.
Logistic Equation: y′ = ry(1 −...
1. (4 pts) Consider all bit strings of length six. a) How many
begin with 01?...
1. (4 pts) Consider all bit strings of length six. a) How many
begin with 01? b) How many begin with 01 and end with 10? c) How
many begin with 01 or end with 10? d) How many have exactly three
1’s? 2. (8 pts) Suppose that a “word” is any string of six letters.
Repeated letters are allowed. For our purposes, vowels are the
letters a, e, i, o, and u. a) How many words are there? b)...