Mixing
What is the difference between f(x) and x?
-3
$begingroup$
What is the difference between f(x) and x?
For example:
Would
T$_1$(N) = O(f(N))
be any different than
T$_1$(N) = O(N)
?
Note: when I use "O" I am using it to indicate big-Oh notation.
functions
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
$endgroup$
add a comment |
-3
$begingroup$
What is the difference between f(x) and x?
For example:
Would
T$_1$(N) = O(f(N))
be any different than
T$_1$(N) = O(N)
?
Note: when I use "O" I am using it to indicate big-Oh notation.
functions
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
$endgroup$
$begingroup$
Ummm.... what's the difference between $x$ and $cos (x)$ or $x^x$?????
$endgroup$
– David G. Stork
Jan 20 at 4:43
$begingroup$
corrected issue with second line
$endgroup$
– Darien Springer
Jan 20 at 4:46
$begingroup$
So what is $T_1$????? This question is a mess!
$endgroup$
– David G. Stork
Jan 20 at 4:58
$begingroup$
More generally and using pedantic but precise notation: if $g in O(h)$ then $gin O(fcirc h)$ if, for instance, $O(h) subset O(fcirc h)$ but this is not necessary, just sufficient.
$endgroup$
– LoveTooNap29
Jan 20 at 5:04
add a comment |
-3
-3
-3
$begingroup$
What is the difference between f(x) and x?
For example:
Would
T$_1$(N) = O(f(N))
be any different than
T$_1$(N) = O(N)
?
Note: when I use "O" I am using it to indicate big-Oh notation.
functions
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
$endgroup$
What is the difference between f(x) and x?
For example:
Would
T$_1$(N) = O(f(N))
be any different than
T$_1$(N) = O(N)
?
Note: when I use "O" I am using it to indicate big-Oh notation.
functions
functions
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
edited Jan 20 at 4:46
Darien Springer
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
asked Jan 20 at 4:36
Darien SpringerDarien Springer
64
64
$begingroup$
Ummm.... what's the difference between $x$ and $cos (x)$ or $x^x$?????
$endgroup$
– David G. Stork
Jan 20 at 4:43
$begingroup$
corrected issue with second line
$endgroup$
– Darien Springer
Jan 20 at 4:46
$begingroup$
So what is $T_1$????? This question is a mess!
$endgroup$
– David G. Stork
Jan 20 at 4:58
$begingroup$
More generally and using pedantic but precise notation: if $g in O(h)$ then $gin O(fcirc h)$ if, for instance, $O(h) subset O(fcirc h)$ but this is not necessary, just sufficient.
$endgroup$
– LoveTooNap29
Jan 20 at 5:04
add a comment |
$begingroup$
Ummm.... what's the difference between $x$ and $cos (x)$ or $x^x$?????
$endgroup$
– David G. Stork
Jan 20 at 4:43
$begingroup$
corrected issue with second line
$endgroup$
– Darien Springer
Jan 20 at 4:46
$begingroup$
So what is $T_1$????? This question is a mess!
$endgroup$
– David G. Stork
Jan 20 at 4:58
$begingroup$
More generally and using pedantic but precise notation: if $g in O(h)$ then $gin O(fcirc h)$ if, for instance, $O(h) subset O(fcirc h)$ but this is not necessary, just sufficient.
$endgroup$
– LoveTooNap29
Jan 20 at 5:04
$begingroup$
Ummm.... what's the difference between $x$ and $cos (x)$ or $x^x$?????
$endgroup$
– David G. Stork
Jan 20 at 4:43
$begingroup$
Ummm.... what's the difference between $x$ and $cos (x)$ or $x^x$?????
$endgroup$
– David G. Stork
Jan 20 at 4:43
$begingroup$
corrected issue with second line
$endgroup$
– Darien Springer
Jan 20 at 4:46
$begingroup$
corrected issue with second line
$endgroup$
– Darien Springer
Jan 20 at 4:46
$begingroup$
So what is $T_1$????? This question is a mess!
$endgroup$
– David G. Stork
Jan 20 at 4:58
$begingroup$
So what is $T_1$????? This question is a mess!
$endgroup$
– David G. Stork
Jan 20 at 4:58
$begingroup$
More generally and using pedantic but precise notation: if $g in O(h)$ then $gin O(fcirc h)$ if, for instance, $O(h) subset O(fcirc h)$ but this is not necessary, just sufficient.
$endgroup$
– LoveTooNap29
Jan 20 at 5:04
$begingroup$
More generally and using pedantic but precise notation: if $g in O(h)$ then $gin O(fcirc h)$ if, for instance, $O(h) subset O(fcirc h)$ but this is not necessary, just sufficient.
$endgroup$
– LoveTooNap29
Jan 20 at 5:04
add a comment |
1 Answer
1
active
oldest
votes
2
$begingroup$
For a simple example, let $f(x)=x^2$. Then $T_1(N)=O(f(N))$ says $T_1(N)=O(N^2)$, which is different from $T_1(N)=O(N)$
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
$endgroup$
1
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
2
$begingroup$
For a simple example, let $f(x)=x^2$. Then $T_1(N)=O(f(N))$ says $T_1(N)=O(N^2)$, which is different from $T_1(N)=O(N)$
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
$endgroup$
1
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
add a comment |
2
$begingroup$
For a simple example, let $f(x)=x^2$. Then $T_1(N)=O(f(N))$ says $T_1(N)=O(N^2)$, which is different from $T_1(N)=O(N)$
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
$endgroup$
1
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
add a comment |
2
2
2
$begingroup$
For a simple example, let $f(x)=x^2$. Then $T_1(N)=O(f(N))$ says $T_1(N)=O(N^2)$, which is different from $T_1(N)=O(N)$
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
$endgroup$
For a simple example, let $f(x)=x^2$. Then $T_1(N)=O(f(N))$ says $T_1(N)=O(N^2)$, which is different from $T_1(N)=O(N)$
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
answered Jan 20 at 4:58
Ross MillikanRoss Millikan
298k23198371
298k23198371
1
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
add a comment |
1
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
1
1
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
In my opinion, the only way OP could ask this question is if he was confused about what big O actually means. It may help to elaborate a little there, but it would be ideal if OP would also elaborate on his confusion.
$endgroup$
– Alfred Yerger
Jan 20 at 5:02
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
$begingroup$
@AlfredYerger: I agree, but I have a strong bias to answer the questions as asked. Sometimes this helps OP clarify his/her thinking.
$endgroup$
– Ross Millikan
Jan 20 at 5:12
add a comment |
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$begingroup$
Ummm.... what's the difference between $x$ and $cos (x)$ or $x^x$?????
$endgroup$
– David G. Stork
Jan 20 at 4:43
$begingroup$
corrected issue with second line
$endgroup$
– Darien Springer
Jan 20 at 4:46
$begingroup$
So what is $T_1$????? This question is a mess!
$endgroup$
– David G. Stork
Jan 20 at 4:58
$begingroup$
More generally and using pedantic but precise notation: if $g in O(h)$ then $gin O(fcirc h)$ if, for instance, $O(h) subset O(fcirc h)$ but this is not necessary, just sufficient.
$endgroup$
– LoveTooNap29
Jan 20 at 5:04