Why is “antiderivative” also known as “primitive”?
$begingroup$
If I had to guess, I would say that calling the antiderivative as primitive is of French origin.
Is one term more popular than the other?
calculus analysis terminology math-history
$endgroup$
|
show 1 more comment
$begingroup$
If I had to guess, I would say that calling the antiderivative as primitive is of French origin.
Is one term more popular than the other?
calculus analysis terminology math-history
$endgroup$
1
$begingroup$
For what it's worth, this is the first time I've ever heard of that term (I'm in the US). I can't say which is more popular elsewhere.
$endgroup$
– Jonathan Hebert
Jan 6 at 22:57
1
$begingroup$
I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
$begingroup$
@JonathanHebert Yeah I haven't heard it used verbally either, but I have seen it in some books. For some reason I just find primitive way more appealing than the word antiderivative; at least it's not such a mouthful.
$endgroup$
– Ovi
Jan 7 at 0:09
$begingroup$
I was also confused when I first saw "primitive" in some lecture notes. In those notes, "antiderivative" is then not used. I tried to convince myself that, beyond its own meaning as an English word, "primitive" might also gain its market phonetically from "prime" ('), the popular notation for derivative (please forgive my imagination here!)...
$endgroup$
– hypernova
Jan 7 at 0:57
$begingroup$
@hypernova That's a cool guess!
$endgroup$
– Ovi
Jan 7 at 0:58
|
show 1 more comment
$begingroup$
If I had to guess, I would say that calling the antiderivative as primitive is of French origin.
Is one term more popular than the other?
calculus analysis terminology math-history
$endgroup$
If I had to guess, I would say that calling the antiderivative as primitive is of French origin.
Is one term more popular than the other?
calculus analysis terminology math-history
calculus analysis terminology math-history
asked Jan 6 at 22:52
OviOvi
12.4k1038112
12.4k1038112
1
$begingroup$
For what it's worth, this is the first time I've ever heard of that term (I'm in the US). I can't say which is more popular elsewhere.
$endgroup$
– Jonathan Hebert
Jan 6 at 22:57
1
$begingroup$
I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
$begingroup$
@JonathanHebert Yeah I haven't heard it used verbally either, but I have seen it in some books. For some reason I just find primitive way more appealing than the word antiderivative; at least it's not such a mouthful.
$endgroup$
– Ovi
Jan 7 at 0:09
$begingroup$
I was also confused when I first saw "primitive" in some lecture notes. In those notes, "antiderivative" is then not used. I tried to convince myself that, beyond its own meaning as an English word, "primitive" might also gain its market phonetically from "prime" ('), the popular notation for derivative (please forgive my imagination here!)...
$endgroup$
– hypernova
Jan 7 at 0:57
$begingroup$
@hypernova That's a cool guess!
$endgroup$
– Ovi
Jan 7 at 0:58
|
show 1 more comment
1
$begingroup$
For what it's worth, this is the first time I've ever heard of that term (I'm in the US). I can't say which is more popular elsewhere.
$endgroup$
– Jonathan Hebert
Jan 6 at 22:57
1
$begingroup$
I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
$begingroup$
@JonathanHebert Yeah I haven't heard it used verbally either, but I have seen it in some books. For some reason I just find primitive way more appealing than the word antiderivative; at least it's not such a mouthful.
$endgroup$
– Ovi
Jan 7 at 0:09
$begingroup$
I was also confused when I first saw "primitive" in some lecture notes. In those notes, "antiderivative" is then not used. I tried to convince myself that, beyond its own meaning as an English word, "primitive" might also gain its market phonetically from "prime" ('), the popular notation for derivative (please forgive my imagination here!)...
$endgroup$
– hypernova
Jan 7 at 0:57
$begingroup$
@hypernova That's a cool guess!
$endgroup$
– Ovi
Jan 7 at 0:58
1
1
$begingroup$
For what it's worth, this is the first time I've ever heard of that term (I'm in the US). I can't say which is more popular elsewhere.
$endgroup$
– Jonathan Hebert
Jan 6 at 22:57
$begingroup$
For what it's worth, this is the first time I've ever heard of that term (I'm in the US). I can't say which is more popular elsewhere.
$endgroup$
– Jonathan Hebert
Jan 6 at 22:57
1
1
$begingroup$
I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
$begingroup$
I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
$begingroup$
@JonathanHebert Yeah I haven't heard it used verbally either, but I have seen it in some books. For some reason I just find primitive way more appealing than the word antiderivative; at least it's not such a mouthful.
$endgroup$
– Ovi
Jan 7 at 0:09
$begingroup$
@JonathanHebert Yeah I haven't heard it used verbally either, but I have seen it in some books. For some reason I just find primitive way more appealing than the word antiderivative; at least it's not such a mouthful.
$endgroup$
– Ovi
Jan 7 at 0:09
$begingroup$
I was also confused when I first saw "primitive" in some lecture notes. In those notes, "antiderivative" is then not used. I tried to convince myself that, beyond its own meaning as an English word, "primitive" might also gain its market phonetically from "prime" ('), the popular notation for derivative (please forgive my imagination here!)...
$endgroup$
– hypernova
Jan 7 at 0:57
$begingroup$
I was also confused when I first saw "primitive" in some lecture notes. In those notes, "antiderivative" is then not used. I tried to convince myself that, beyond its own meaning as an English word, "primitive" might also gain its market phonetically from "prime" ('), the popular notation for derivative (please forgive my imagination here!)...
$endgroup$
– hypernova
Jan 7 at 0:57
$begingroup$
@hypernova That's a cool guess!
$endgroup$
– Ovi
Jan 7 at 0:58
$begingroup$
@hypernova That's a cool guess!
$endgroup$
– Ovi
Jan 7 at 0:58
|
show 1 more comment
1 Answer
1
active
oldest
votes
$begingroup$
At least in the United States, it seems that antiderivative is the more prevalent term although primitive does still get used.
It seems that primitive is commonly used abroad. While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative.
As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive.
$endgroup$
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
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%2f3064488%2fwhy-is-antiderivative-also-known-as-primitive%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
$begingroup$
At least in the United States, it seems that antiderivative is the more prevalent term although primitive does still get used.
It seems that primitive is commonly used abroad. While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative.
As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive.
$endgroup$
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
add a comment |
$begingroup$
At least in the United States, it seems that antiderivative is the more prevalent term although primitive does still get used.
It seems that primitive is commonly used abroad. While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative.
As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive.
$endgroup$
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
add a comment |
$begingroup$
At least in the United States, it seems that antiderivative is the more prevalent term although primitive does still get used.
It seems that primitive is commonly used abroad. While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative.
As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive.
$endgroup$
At least in the United States, it seems that antiderivative is the more prevalent term although primitive does still get used.
It seems that primitive is commonly used abroad. While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative.
As others have pointed out here How common is the use of the term "primitive" to mean "antiderivative"?, some languages such as Dutch only use the term, primitive.
answered Jan 6 at 23:21
GnumbertesterGnumbertester
18516
18516
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
add a comment |
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
$begingroup$
I disagree with the claim that "antiderivative" and "indefinite integral" are synonymous in the US. An antiderivative is a single function with the relevant derivative. An indefinite integral is usually something more like "an infinite family of antiderivatives on a connected subset of the domain, traditionally using $C$ for an arbitrary constant".
$endgroup$
– Mark S.
Jan 7 at 17:13
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%2f3064488%2fwhy-is-antiderivative-also-known-as-primitive%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
1
$begingroup$
For what it's worth, this is the first time I've ever heard of that term (I'm in the US). I can't say which is more popular elsewhere.
$endgroup$
– Jonathan Hebert
Jan 6 at 22:57
1
$begingroup$
I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
$begingroup$
@JonathanHebert Yeah I haven't heard it used verbally either, but I have seen it in some books. For some reason I just find primitive way more appealing than the word antiderivative; at least it's not such a mouthful.
$endgroup$
– Ovi
Jan 7 at 0:09
$begingroup$
I was also confused when I first saw "primitive" in some lecture notes. In those notes, "antiderivative" is then not used. I tried to convince myself that, beyond its own meaning as an English word, "primitive" might also gain its market phonetically from "prime" ('), the popular notation for derivative (please forgive my imagination here!)...
$endgroup$
– hypernova
Jan 7 at 0:57
$begingroup$
@hypernova That's a cool guess!
$endgroup$
– Ovi
Jan 7 at 0:58