Name this simple norm equality! (Real Analysis)Common Ground between Real Analysis and Measure TheoryReal...
Do I have to take mana from my deck or hand when tapping this card?
Offset in split text content
Why would five hundred and five same as one?
How can a new country break out from a developed country without war?
How do I lift the insulation blower into the attic?
Output visual diagram of picture
Why is "la Gestapo" feminine?
Writing in a Christian voice
What is the period/term used describe Giuseppe Arcimboldo's style of painting?
Weird lines in Microsoft Word
Checking @@ROWCOUNT failing
Air travel with refrigerated insulin
Is there a distance limit for minecart tracks?
Friend wants my recommendation but I don't want to give it to him
What is it called when someone votes for an option that's not their first choice?
Exposing a company lying about themselves in a tightly knit industry (videogames) : Is my career at risk on the long run?
Did I make a mistake by ccing email to boss to others?
Highest stage count that are used one right after the other?
Not hide and seek
Make a Bowl of Alphabet Soup
Recursively move files within sub directories
Asserting that Atheism and Theism are both faith based positions
Hashing password to increase entropy
What (if any) is the reason to buy in small local stores?
Name this simple norm equality! (Real Analysis)
Common Ground between Real Analysis and Measure TheoryReal analysis - proof approach helpReal analysis: simple second order ODEDoes this inequality involving the sum of components of a vector and its norm have a name?Why is this Inequality True for all Positive Real Numbers?What is real analysis?Is there a name for this set?Clarification on definition of a norm in a real analysis problemProb. 12, Sec. 5.2, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: Continuity of additive functionsReal Analysis: Not sure if textbook proof is incomplete.
$begingroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
asked 5 hours ago
JaPJaP
153
$endgroup$
add a comment |
$begingroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
asked 5 hours ago
JaPJaP
153
$endgroup$
add a comment |
$begingroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
asked 5 hours ago
JaPJaP
153
$endgroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
real-analysis
asked 5 hours ago
JaPJaP
153
asked 5 hours ago
JaPJaP
153
asked 5 hours ago
JaPJaP
153
asked 5 hours ago
JaPJaP
153
asked 5 hours ago
JaPJaP
153
153
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
This is the parallelogram law of norms induced by inner products.
answered 5 hours ago
pulpfictionalpulpfictional
1786
$endgroup$
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
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%2f3154474%2fname-this-simple-norm-equality-real-analysis%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
$begingroup$
This is the parallelogram law of norms induced by inner products.
answered 5 hours ago
pulpfictionalpulpfictional
1786
$endgroup$
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
add a comment |
$begingroup$
This is the parallelogram law of norms induced by inner products.
answered 5 hours ago
pulpfictionalpulpfictional
1786
$endgroup$
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
add a comment |
$begingroup$
This is the parallelogram law of norms induced by inner products.
answered 5 hours ago
pulpfictionalpulpfictional
1786
$endgroup$
This is the parallelogram law of norms induced by inner products.
answered 5 hours ago
pulpfictionalpulpfictional
1786
answered 5 hours ago
pulpfictionalpulpfictional
1786
answered 5 hours ago
pulpfictionalpulpfictional
1786
answered 5 hours ago
pulpfictionalpulpfictional
1786
1786
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
add a comment |
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
$begingroup$
Thank you so much!
$endgroup$
– JaP
4 hours ago
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%2f3154474%2fname-this-simple-norm-equality-real-analysis%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
