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Let Σ=0,1 and consider the functions f,g: Σ∗⟶Σ∗ given by 1. f(ω)=ωω g(ω)=ω10 What is (f∘g)(01)? [on hold]

Proving $(0,1)$ and $[0,1]$ have the same cardinalityWhat is the formula to find the number of one-one functions from $A$ to $B$?Comparing the cardinality of (0,1) and (0,1]How many functions from $0,1 times 0,1$ to $0,1,2$ are there?Given the function $f:[0,1]→[0,1]$; $f(x)=x^2$, check which one(s) of the properties it has.Consider tossing a coin five times. What is the probability of getting the same $result$?What is the largest chain of $(0,1^n,leq)$?How many functions under the given conditions?What is the relationship between sets, sequences, and functions?Consider the set F under the operation of composition of functions ◦.

0

0

$begingroup$

Let Σ=0,1 and consider the functions f,g: Σ∗⟶Σ∗ given by

1. f(ω)=ωω




2. g(ω)=ω10

What is (f∘g)(01) ?

discrete-mathematics

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asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

New contributor

Ahmad Gul Hundal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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put on hold as off-topic by Gregory J. Puleo, Jyrki Lahtonen, YiFan, uniquesolution, Vinyl_cape_jawa 2 days ago

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• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Gregory J. Puleo, Jyrki Lahtonen, YiFan, uniquesolution, Vinyl_cape_jawa

If this question can be reworded to fit the rules in the help center, please edit the question.

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0

0

$begingroup$

Let Σ=0,1 and consider the functions f,g: Σ∗⟶Σ∗ given by

1. f(ω)=ωω




2. g(ω)=ω10

What is (f∘g)(01) ?

discrete-mathematics

share|cite|improve this question

asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

New contributor

Ahmad Gul Hundal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

put on hold as off-topic by Gregory J. Puleo, Jyrki Lahtonen, YiFan, uniquesolution, Vinyl_cape_jawa 2 days ago

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Gregory J. Puleo, Jyrki Lahtonen, YiFan, uniquesolution, Vinyl_cape_jawa

If this question can be reworded to fit the rules in the help center, please edit the question.

add a comment | 

$begingroup$

Let Σ=0,1 and consider the functions f,g: Σ∗⟶Σ∗ given by

1. f(ω)=ωω




2. g(ω)=ω10

What is (f∘g)(01) ?

discrete-mathematics

share|cite|improve this question

asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

New contributor

Ahmad Gul Hundal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

New contributor

Ahmad Gul Hundal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

New contributor

Ahmad Gul Hundal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

New contributor

Ahmad Gul Hundal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 10 at 19:30

Ahmad Gul HundalAhmad Gul Hundal

4

1 Answer
1

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$begingroup$

Hint: Taking $omega$ we have

beginalign*
colorblue(fcirc g)(omega)&=f(g(omega))\
&=f(omega10)\
&,,colorblue=omega10omega10
endalign*

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answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149

$endgroup$

add a comment | 

0

$begingroup$

Hint: Taking $omega$ we have

beginalign*
colorblue(fcirc g)(omega)&=f(g(omega))\
&=f(omega10)\
&,,colorblue=omega10omega10
endalign*

share|cite|improve this answer

answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149

$endgroup$

add a comment | 

0

$begingroup$

Hint: Taking $omega$ we have

beginalign*
colorblue(fcirc g)(omega)&=f(g(omega))\
&=f(omega10)\
&,,colorblue=omega10omega10
endalign*

share|cite|improve this answer

answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149

$endgroup$

add a comment | 

$begingroup$

Hint: Taking $omega$ we have

beginalign*
colorblue(fcirc g)(omega)&=f(g(omega))\
&=f(omega10)\
&,,colorblue=omega10omega10
endalign*

share|cite|improve this answer

answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149

$endgroup$

share|cite|improve this answer

answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149

answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149

answered Mar 10 at 22:01

Markus ScheuerMarkus Scheuer

62.6k459149