Mixing
Is there a mathematical notation to express the domain without the range or the range without the domain?
Clash Royale CLAN TAG#URR8PPP
up vote
2
down vote
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According to the domain's Wikipedia page
I can express the domain and range of a function like this $$f:Xrightarrow Y$$
What if I am only interested in the domain of the function? Is it mathematically accepted to write this?
$$f:X$$
What if I am only interested in the range?
I am asking if there is a mathematical notation to represent these concepts individually without presenting both at the same time.
notation
asked Sep 5 at 22:22
Cedric Martens
316211
add a comment |Â
up vote
2
down vote
favorite
According to the domain's Wikipedia page
I can express the domain and range of a function like this $$f:Xrightarrow Y$$
What if I am only interested in the domain of the function? Is it mathematically accepted to write this?
$$f:X$$
What if I am only interested in the range?
I am asking if there is a mathematical notation to represent these concepts individually without presenting both at the same time.
notation
asked Sep 5 at 22:22
Cedric Martens
316211
2
The range of $f$ is often expressed by $f(X).$ However, as you can see, it still uses the fact that $X$ is the domain of $f.$
– Pawel
Sep 5 at 22:25
Looking through a book I have found the notation $D_f$ and $R_f$. Is this widely used?
– Cedric Martens
Sep 5 at 22:32
1
Actually, $Y$ is the codomain, which is a superset of the range.
– mr_e_man
Sep 5 at 22:41
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
According to the domain's Wikipedia page
I can express the domain and range of a function like this $$f:Xrightarrow Y$$
What if I am only interested in the domain of the function? Is it mathematically accepted to write this?
$$f:X$$
What if I am only interested in the range?
I am asking if there is a mathematical notation to represent these concepts individually without presenting both at the same time.
notation
asked Sep 5 at 22:22
Cedric Martens
316211
According to the domain's Wikipedia page
I can express the domain and range of a function like this $$f:Xrightarrow Y$$
What if I am only interested in the domain of the function? Is it mathematically accepted to write this?
$$f:X$$
What if I am only interested in the range?
I am asking if there is a mathematical notation to represent these concepts individually without presenting both at the same time.
notation
asked Sep 5 at 22:22
Cedric Martens
316211
asked Sep 5 at 22:22
Cedric Martens
316211
asked Sep 5 at 22:22
Cedric Martens
316211
asked Sep 5 at 22:22
Cedric Martens
316211
316211
2
The range of $f$ is often expressed by $f(X).$ However, as you can see, it still uses the fact that $X$ is the domain of $f.$
– Pawel
Sep 5 at 22:25
Looking through a book I have found the notation $D_f$ and $R_f$. Is this widely used?
– Cedric Martens
Sep 5 at 22:32
1
Actually, $Y$ is the codomain, which is a superset of the range.
– mr_e_man
Sep 5 at 22:41
add a comment |Â
2
The range of $f$ is often expressed by $f(X).$ However, as you can see, it still uses the fact that $X$ is the domain of $f.$
– Pawel
Sep 5 at 22:25
Looking through a book I have found the notation $D_f$ and $R_f$. Is this widely used?
– Cedric Martens
Sep 5 at 22:32
1
Actually, $Y$ is the codomain, which is a superset of the range.
– mr_e_man
Sep 5 at 22:41
2
2
The range of $f$ is often expressed by $f(X).$ However, as you can see, it still uses the fact that $X$ is the domain of $f.$
– Pawel
Sep 5 at 22:25
The range of $f$ is often expressed by $f(X).$ However, as you can see, it still uses the fact that $X$ is the domain of $f.$
– Pawel
Sep 5 at 22:25
Looking through a book I have found the notation $D_f$ and $R_f$. Is this widely used?
– Cedric Martens
Sep 5 at 22:32
Looking through a book I have found the notation $D_f$ and $R_f$. Is this widely used?
– Cedric Martens
Sep 5 at 22:32
1
1
Actually, $Y$ is the codomain, which is a superset of the range.
– mr_e_man
Sep 5 at 22:41
Actually, $Y$ is the codomain, which is a superset of the range.
– mr_e_man
Sep 5 at 22:41
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
9
down vote
accepted
One often sees
$operatornamedom f$ and $operatornameran f$ or $D(f)$ and $R(f)$ or $D_f$ and $R_f$ .
Of course, you can also say something like
When $f$ is a function, we will write “$square f$†to mean the domain of $f$ and “$fsquare$†to mean the codomain
or whatever. You're allowed to make up whatever notation you like, as long as you explain it clearly.
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
9
down vote
accepted
One often sees
$operatornamedom f$ and $operatornameran f$ or $D(f)$ and $R(f)$ or $D_f$ and $R_f$ .
Of course, you can also say something like
When $f$ is a function, we will write “$square f$†to mean the domain of $f$ and “$fsquare$†to mean the codomain
or whatever. You're allowed to make up whatever notation you like, as long as you explain it clearly.
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
add a comment |Â
up vote
9
down vote
accepted
One often sees
$operatornamedom f$ and $operatornameran f$ or $D(f)$ and $R(f)$ or $D_f$ and $R_f$ .
Of course, you can also say something like
When $f$ is a function, we will write “$square f$†to mean the domain of $f$ and “$fsquare$†to mean the codomain
or whatever. You're allowed to make up whatever notation you like, as long as you explain it clearly.
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
add a comment |Â
up vote
9
down vote
accepted
up vote
9
down vote
accepted
One often sees
$operatornamedom f$ and $operatornameran f$ or $D(f)$ and $R(f)$ or $D_f$ and $R_f$ .
Of course, you can also say something like
When $f$ is a function, we will write “$square f$†to mean the domain of $f$ and “$fsquare$†to mean the codomain
or whatever. You're allowed to make up whatever notation you like, as long as you explain it clearly.
One often sees
$operatornamedom f$ and $operatornameran f$ or $D(f)$ and $R(f)$ or $D_f$ and $R_f$ .
Of course, you can also say something like
When $f$ is a function, we will write “$square f$†to mean the domain of $f$ and “$fsquare$†to mean the codomain
or whatever. You're allowed to make up whatever notation you like, as long as you explain it clearly.
edited Sep 5 at 23:41
community wiki
3 revs, 2 users 94%
MJD
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
add a comment |Â
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
Is that supposed to appear as a white box?
– qwr
Sep 6 at 2:30
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
The $square$ is supposed to appear as a hollow square.
– MJD
Sep 6 at 2:36
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
Indeed, ◻ is U+25FB: WHITE MEDIUM SQUARE.
– Andreas Rejbrand
Sep 6 at 6:49
add a comment |Â
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2
The range of $f$ is often expressed by $f(X).$ However, as you can see, it still uses the fact that $X$ is the domain of $f.$
– Pawel
Sep 5 at 22:25
Looking through a book I have found the notation $D_f$ and $R_f$. Is this widely used?
– Cedric Martens
Sep 5 at 22:32
1
Actually, $Y$ is the codomain, which is a superset of the range.
– mr_e_man
Sep 5 at 22:41