Mixing
Notation for a Point being between two Other Points
$begingroup$
Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?
If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.
notation
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
$endgroup$
add a comment |
$begingroup$
Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?
If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.
notation
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
$endgroup$
add a comment |
$begingroup$
Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?
If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.
notation
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
$endgroup$
Let $x$, $y$ and $z$ be real numbers. Is there any notation that means that $x$ is between $y$ and $z$?
If $y$ is less than or equal to $z$, then the notation $y leq x leq z$ can be used, and there is similar notation when $z$ is less than or equal to $y$. I am asking for a notation that encompasses both of these possibilities.
notation
notation
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
asked Jan 9 at 16:17
LinearGuyLinearGuy
13711
13711
add a comment |
add a comment |
2 Answers
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$begingroup$
I am asking for a notation that encompasses both of these possibilities.
If you don't know whether $y le z$ or $z le y$, you could write:
$$minleft{y,zright} le x le maxleft{y,zright}$$
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
$endgroup$
add a comment |
$begingroup$
For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
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2 Answers
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2 Answers
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$begingroup$
I am asking for a notation that encompasses both of these possibilities.
If you don't know whether $y le z$ or $z le y$, you could write:
$$minleft{y,zright} le x le maxleft{y,zright}$$
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
$endgroup$
add a comment |
$begingroup$
I am asking for a notation that encompasses both of these possibilities.
If you don't know whether $y le z$ or $z le y$, you could write:
$$minleft{y,zright} le x le maxleft{y,zright}$$
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
$endgroup$
add a comment |
$begingroup$
I am asking for a notation that encompasses both of these possibilities.
If you don't know whether $y le z$ or $z le y$, you could write:
$$minleft{y,zright} le x le maxleft{y,zright}$$
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
$endgroup$
I am asking for a notation that encompasses both of these possibilities.
If you don't know whether $y le z$ or $z le y$, you could write:
$$minleft{y,zright} le x le maxleft{y,zright}$$
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
answered Jan 9 at 16:22
StackTDStackTD
22.6k2050
22.6k2050
add a comment |
add a comment |
$begingroup$
For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
$endgroup$
add a comment |
$begingroup$
For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
$endgroup$
add a comment |
$begingroup$
For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
$endgroup$
For real numbers $y,z$, the interval $[y,z]$ is given by ${lambda y + (1-lambda)zmid 0leq lambdaleq 1}$.
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
answered Jan 9 at 16:19
WuestenfuxWuestenfux
4,2871413
4,2871413
add a comment |
add a comment |
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