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
asked Jan 6 at 22:52
OviOvi
12.5k1038112
$endgroup$
|
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
asked Jan 6 at 22:52
OviOvi
12.5k1038112
$endgroup$
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
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I found this <math.stackexchange.com/questions/47703/…>.
$endgroup$
– Gnumbertester
Jan 6 at 22:59
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@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
asked Jan 6 at 22:52
OviOvi
12.5k1038112
$endgroup$
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
12.5k1038112
asked Jan 6 at 22:52
OviOvi
12.5k1038112
asked Jan 6 at 22:52
OviOvi
12.5k1038112
asked Jan 6 at 22:52
OviOvi
12.5k1038112
asked Jan 6 at 22:52
OviOvi
12.5k1038112
12.5k1038112
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.
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
$endgroup$
$begingroup$
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 |
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1 Answer
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$begingroup$
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.
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
$endgroup$
$begingroup$
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.
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
$endgroup$
$begingroup$
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.
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
$endgroup$
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
567112
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
answered Jan 6 at 23:21
GnumbertesterGnumbertester
567112
567112
$begingroup$
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 |
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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