We can define a restricted npda as one that can increase the length of the stack by at most one s...
We can define a restricted npda as one that can increase the length of the stack by at most one symbol in each move. Show that for every npda M there exists such a restricted npda M' such that L(M) = L(M').
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We can define a restricted npda as one that can increase the length of the stack by at most one s...
[20 points] As an example of a PDA look at the one below that accepts the...
[20 points] As an example of a PDA look at the one below that accepts the following language (Z is the stack start symbol): {a”br | n >0} U{a}. a, 1; 11 b, 1; a, Z; 12 b, 1 ; 90 q1 q2 1,2; a, Z;À Z: 93 We want to show that the language L below is a CFL by designing the PDA P, defined as P= {{90, 91, 92}, {0, 1}, {x, Z},0,40, 2, {92}}, that accepts it:...
Show that L = {anbm : m ≥ n +3} is deterministic. This is for formal languages and automata... Ca...
Show that L = {anbm : m ≥ n +3} is
deterministic.
This is for formal languages and automata...
Can you please try to explain what you are doing and why (if
necessary, if not ill try my best to figure it out.)
The definitions i'm working based off of are posted as a image
below.
Thanks!
DEFINITION 7.3 A pushdown automaton M-О. Е, Г, 0, qo, z, Fİs said to be deterministic ifit is an automaton as defined in...
**TStack.py below** # CMPT 145: Linear ADTs # Defines the Stack ADT # # A stack (also called a pushdown or LIFO stack)...
**TStack.py below**
# CMPT 145: Linear ADTs
# Defines the Stack ADT
#
# A stack (also called a pushdown or LIFO stack) is a compound
# data structure in which the data values are ordered according
# to the LIFO (last-in first-out) protocol.
#
# Implementation:
# This implementation was designed to point out when ADT operations are
# used incorrectly.
def create():
"""
Purpose
creates an empty stack
Return
an empty stack
"""
return '__Stack__',list()
def is_empty(stack):
"""...
Does the path length difference delta l increase or decrease as you move from one bright...
Does the path length difference delta l increase or decrease as you move from one bright fringe of a two-slit experiment to the next bright fringe farther out? increase decrease What is delta l of the third bright fringe outside of the central bright fringe in terms of the wavelength lambda of the light? ________ lambda
Many of you asked why we couldn't have two stacks for PDAs? Now here comes a...
Many of you asked why we couldn't have two stacks for PDAs? Now here comes a problem for you. It is natural to add an extra stack to a PDA Say M is a two-stack PDA if M is exactly the same as a PDA but with two stacks. Each instruction (transition) in M is in the form of which means that if M is at state q and reading input symbol a with the M to state p, and...
12. [10 bonus points) Let us define an operation truncate, which removes the rightmost symbol from...
12. [10 bonus points) Let us define an operation truncate, which removes the rightmost symbol from any string. For example, truncate (aaaba) is aaab. The operation can be extended to languages by truncate(L) = {truncate (w): WE L} Show how, given a DFA for any regular language L, one can construct a DFA for truncate(L). From this, prove that if L is a regular language not containing 1, then truncate(L) is also regular.
(1) Consider the probability space 2 [0, 1. We define the probability of an event A Ω to be its length, we define a sequence random variables as follows: When n is odd Xn (u) 0 otherwise while, when...
(1) Consider the probability space 2 [0, 1. We define the probability of an event A Ω to be its length, we define a sequence random variables as follows: When n is odd Xn (u) 0 otherwise while, when n is even otherwise (a) Compute the PMF and CDF of each Xn (b) Deduce that X converge in distribution (c) Show that for any n and any random variable X : Ω R. (d) Deduce that Xn does not converge...
Please answer all parts. Thank you! 20. Let R be a commutative ring with identity. We define a multiplicative subset of R to be a subset S such that 1 S and ab S if a, b E S. Define a relation ~ on R...
Please answer all parts. Thank you!
20. Let R be a commutative ring with identity. We define a multiplicative subset of R to be a subset S such that 1 S and ab S if a, b E S. Define a relation ~ on R × S by (a, s) ~ (a, s') if there exists an s"e S such that s* (s,a-sa,) a. 0. Show that ~ is an equivalence relation on b. Let a/s denote the equivalence class...
Let H be a complex Hilbert space. 6. (a) Let φ, ψ E H \ {0} . Define the linear operator T on H by Using the Cauchy...
Let H be a complex Hilbert space. 6. (a) Let φ, ψ E H \ {0} . Define the linear operator T on H by Using the Cauchy-Schwarz inequality, show that llll = Hell ll [4 marks] (b) A bounded linear operator A is said to have rank one if there exists v e H [0 such that for any u E H we have Au cu, where cu E C is a constant depending on u. (i) Show that...
The definition we gave for a function is a bit ambiguous. For example, what exactly is a "rule"? ...
The definition we gave for a function is a bit ambiguous. For example, what exactly is a "rule"? We can give a rigorous mathematical definition of a function. Most mathematicians don't use this on an everyday basis, but it is important to know that it exists and see it once in your life. Notice this is very closely related to the idea of the graph of a function. Definition 9. Let X and Y be sets. Let R-X × Y...
[20 points] As an example of a PDA look at the one below that accepts the following language (Z is the stack start symbol): {a”br | n >0} U{a}. a, 1; 11 b, 1; a, Z; 12 b, 1 ; 90 q1 q2 1,2; a, Z;À Z: 93 We want to show that the language L below is a CFL by designing the PDA P, defined as P= {{90, 91, 92}, {0, 1}, {x, Z},0,40, 2, {92}}, that accepts it:...
Show that L = {anbm : m ≥ n +3} is
deterministic.
This is for formal languages and automata...
Can you please try to explain what you are doing and why (if
necessary, if not ill try my best to figure it out.)
The definitions i'm working based off of are posted as a image
below.
Thanks!
DEFINITION 7.3 A pushdown automaton M-О. Е, Г, 0, qo, z, Fİs said to be deterministic ifit is an automaton as defined in...
**TStack.py below**
# CMPT 145: Linear ADTs
# Defines the Stack ADT
#
# A stack (also called a pushdown or LIFO stack) is a compound
# data structure in which the data values are ordered according
# to the LIFO (last-in first-out) protocol.
#
# Implementation:
# This implementation was designed to point out when ADT operations are
# used incorrectly.
def create():
"""
Purpose
creates an empty stack
Return
an empty stack
"""
return '__Stack__',list()
def is_empty(stack):
"""...
Does the path length difference delta l increase or decrease as you move from one bright fringe of a two-slit experiment to the next bright fringe farther out? increase decrease What is delta l of the third bright fringe outside of the central bright fringe in terms of the wavelength lambda of the light? ________ lambda
Many of you asked why we couldn't have two stacks for PDAs? Now here comes a problem for you. It is natural to add an extra stack to a PDA Say M is a two-stack PDA if M is exactly the same as a PDA but with two stacks. Each instruction (transition) in M is in the form of which means that if M is at state q and reading input symbol a with the M to state p, and...
12. [10 bonus points) Let us define an operation truncate, which removes the rightmost symbol from any string. For example, truncate (aaaba) is aaab. The operation can be extended to languages by truncate(L) = {truncate (w): WE L} Show how, given a DFA for any regular language L, one can construct a DFA for truncate(L). From this, prove that if L is a regular language not containing 1, then truncate(L) is also regular.
(1) Consider the probability space 2 [0, 1. We define the probability of an event A Ω to be its length, we define a sequence random variables as follows: When n is odd Xn (u) 0 otherwise while, when n is even otherwise (a) Compute the PMF and CDF of each Xn (b) Deduce that X converge in distribution (c) Show that for any n and any random variable X : Ω R. (d) Deduce that Xn does not converge...
Please answer all parts. Thank you!
20. Let R be a commutative ring with identity. We define a multiplicative subset of R to be a subset S such that 1 S and ab S if a, b E S. Define a relation ~ on R × S by (a, s) ~ (a, s') if there exists an s"e S such that s* (s,a-sa,) a. 0. Show that ~ is an equivalence relation on b. Let a/s denote the equivalence class...
Let H be a complex Hilbert space. 6. (a) Let φ, ψ E H \ {0} . Define the linear operator T on H by Using the Cauchy-Schwarz inequality, show that llll = Hell ll [4 marks] (b) A bounded linear operator A is said to have rank one if there exists v e H [0 such that for any u E H we have Au cu, where cu E C is a constant depending on u. (i) Show that...
The definition we gave for a function is a bit ambiguous. For example, what exactly is a "rule"? We can give a rigorous mathematical definition of a function. Most mathematicians don't use this on an everyday basis, but it is important to know that it exists and see it once in your life. Notice this is very closely related to the idea of the graph of a function. Definition 9. Let X and Y be sets. Let R-X × Y...
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