Mathematical Definition of a function with array domain and codomain The Next CEO of Stack OverflowHow to determine function based on input and outputHow to define such a functionNotation for a set $a_1,a_2,a_3,a_4$, $a_i in 0,1$ for $i = 1,2,3,4$?Is a function, in part, defined by it's domain?Using Symbolic Logic to keep track of domain and codomainIf there is a need to distinguish between 'image' and 'codomain', why not do this on the input side of a fucntion?Calculate the domain of Irrational function, which contains Log and Trigonometric functionsUse of brace and multiple lines in function mapping notationDomain of function $y$Type/codomain of constant function $f(x)=5$
Is HostGator storing my password in plaintext?
Skipping indices in a product
In excess I'm lethal
Do I need to enable Dev Hub in my PROD Org?
Novel about a guy who is possessed by the divine essence and the world ends?
What flight has the highest ratio of time difference to flight time?
Is it possible to search for a directory/file combination?
MessageLevel in QGIS3
How to add tiny 0.5A 120V load to very remote split phase 240v 3 wire well house
Why don't programming languages automatically manage the synchronous/asynchronous problem?
A "random" question: usage of "random" as adjective in Spanish
Why did we only see the N-1 starfighters in one film?
Is it ever safe to open a suspicious html file (e.g. email attachment)?
Are there any limitations on attacking while grappling?
Is there a way to save my career from absolute disaster?
Help understanding this unsettling image of Titan, Epimetheus, and Saturn's rings?
"and that skill is always a class skill for you" - does "always" have any meaning in Pathfinder?
Why do professional authors make "consistency" mistakes? And how to avoid them?
Make solar eclipses exceedingly rare, but still have new moons
How to start emacs in "nothing" mode (`fundamental-mode`)
Different harmonic changes implied by a simple descending scale
Is there an analogue of projective spaces for proper schemes?
Written every which way
What happens if you roll doubles 3 times then land on "Go to jail?"
Mathematical Definition of a function with array domain and codomain
The Next CEO of Stack OverflowHow to determine function based on input and outputHow to define such a functionNotation for a set $a_1,a_2,a_3,a_4$, $a_i in 0,1$ for $i = 1,2,3,4$?Is a function, in part, defined by it's domain?Using Symbolic Logic to keep track of domain and codomainIf there is a need to distinguish between 'image' and 'codomain', why not do this on the input side of a fucntion?Calculate the domain of Irrational function, which contains Log and Trigonometric functionsUse of brace and multiple lines in function mapping notationDomain of function $y$Type/codomain of constant function $f(x)=5$
$begingroup$
I know the definition of a simple function is:
$f:biggl{beginarrayrlR&to R\ x&mapsto f(x)endarray $
But i want to define a function which get a set as input and make the result be a set.
$G:biggl{beginarrayrl?&to ?\ x_1,....,x_?&mapsto a_1,...,a_?endarray $//the size of input set and output and depend on the input
assume $x_i in X$ and $a_i in A$
could you please help me to define the domain and co domain?
functions elementary-set-theory definition
asked Mar 18 at 19:16
AliAli
33
$endgroup$
add a comment |
$begingroup$
I know the definition of a simple function is:
$f:biggl{beginarrayrlR&to R\ x&mapsto f(x)endarray $
But i want to define a function which get a set as input and make the result be a set.
$G:biggl{beginarrayrl?&to ?\ x_1,....,x_?&mapsto a_1,...,a_?endarray $//the size of input set and output and depend on the input
assume $x_i in X$ and $a_i in A$
could you please help me to define the domain and co domain?
functions elementary-set-theory definition
asked Mar 18 at 19:16
AliAli
33
$endgroup$
add a comment |
$begingroup$
I know the definition of a simple function is:
$f:biggl{beginarrayrlR&to R\ x&mapsto f(x)endarray $
But i want to define a function which get a set as input and make the result be a set.
$G:biggl{beginarrayrl?&to ?\ x_1,....,x_?&mapsto a_1,...,a_?endarray $//the size of input set and output and depend on the input
assume $x_i in X$ and $a_i in A$
could you please help me to define the domain and co domain?
functions elementary-set-theory definition
asked Mar 18 at 19:16
AliAli
33
$endgroup$
I know the definition of a simple function is:
$f:biggl{beginarrayrlR&to R\ x&mapsto f(x)endarray $
But i want to define a function which get a set as input and make the result be a set.
$G:biggl{beginarrayrl?&to ?\ x_1,....,x_?&mapsto a_1,...,a_?endarray $//the size of input set and output and depend on the input
assume $x_i in X$ and $a_i in A$
could you please help me to define the domain and co domain?
functions elementary-set-theory definition
functions elementary-set-theory definition
asked Mar 18 at 19:16
AliAli
33
asked Mar 18 at 19:16
AliAli
33
asked Mar 18 at 19:16
AliAli
33
asked Mar 18 at 19:16
AliAli
33
asked Mar 18 at 19:16
AliAli
33
33
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
$G$ maps subsets of $X$ to subsets of $A$ :
$$G:mathcalP(X)tomathcalP(A)$$
If you have a function $g:Xto A$, you can define $G(Y)=lbrace g(y),;yin Yrbrace$
answered Mar 18 at 19:18
AnthonyAnthony
989
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3153194%2fmathematical-definition-of-a-function-with-array-domain-and-codomain%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
$G$ maps subsets of $X$ to subsets of $A$ :
$$G:mathcalP(X)tomathcalP(A)$$
If you have a function $g:Xto A$, you can define $G(Y)=lbrace g(y),;yin Yrbrace$
answered Mar 18 at 19:18
AnthonyAnthony
989
$endgroup$
add a comment |
$begingroup$
$G$ maps subsets of $X$ to subsets of $A$ :
$$G:mathcalP(X)tomathcalP(A)$$
If you have a function $g:Xto A$, you can define $G(Y)=lbrace g(y),;yin Yrbrace$
answered Mar 18 at 19:18
AnthonyAnthony
989
$endgroup$
add a comment |
$begingroup$
$G$ maps subsets of $X$ to subsets of $A$ :
$$G:mathcalP(X)tomathcalP(A)$$
If you have a function $g:Xto A$, you can define $G(Y)=lbrace g(y),;yin Yrbrace$
answered Mar 18 at 19:18
AnthonyAnthony
989
$endgroup$
$G$ maps subsets of $X$ to subsets of $A$ :
$$G:mathcalP(X)tomathcalP(A)$$
If you have a function $g:Xto A$, you can define $G(Y)=lbrace g(y),;yin Yrbrace$
answered Mar 18 at 19:18
AnthonyAnthony
989
answered Mar 18 at 19:18
AnthonyAnthony
989
answered Mar 18 at 19:18
AnthonyAnthony
989
answered Mar 18 at 19:18
AnthonyAnthony
989
989
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3153194%2fmathematical-definition-of-a-function-with-array-domain-and-codomain%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
