What's the meaning of characteristic in “characteristic polynomial”?
Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?
eigenvalues-eigenvectors soft-question terminology
add a comment |
Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?
eigenvalues-eigenvectors soft-question terminology
mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10
3
For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34
Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27
add a comment |
Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?
eigenvalues-eigenvectors soft-question terminology
Why the polynomial that has the eigenvalues as roots called characteristic?
Is there any special meaning in the term "characteristic"?
eigenvalues-eigenvectors soft-question terminology
eigenvalues-eigenvectors soft-question terminology
edited Nov 21 '18 at 2:05
Henning Makholm
238k16303538
238k16303538
asked Nov 21 '18 at 2:02
alryosha
805
805
mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10
3
For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34
Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27
add a comment |
mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10
3
For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34
Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27
mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10
mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10
3
3
For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34
For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34
Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27
Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27
add a comment |
0
active
oldest
votes
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%2f3007155%2fwhats-the-meaning-of-characteristic-in-characteristic-polynomial%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- 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.
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%2f3007155%2fwhats-the-meaning-of-characteristic-in-characteristic-polynomial%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
mathworld.wolfram.com/Characteristic.html
– JMoravitz
Nov 21 '18 at 2:10
3
For some historical context for use of "characteristic" as it relates to eigenvalues and such, see the "Earliest Known Uses of Some of the Words of Mathematics" pages under "eigenvalue".
– Blue
Nov 21 '18 at 2:34
Eigenvalues are sometimes called "characteristic values."
– Qiaochu Yuan
Nov 21 '18 at 4:27