Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with infinitesimals
Search options answers only
not deleted
user 28128
2
votes
Accepted
Multiplicative infinitesimals in q-analogs?
As far as the multiplicative version of being "very small" is concerned, this can be expressed in Smooth Infinitesimal Analysis and algebraic geometry in terms of nilsquare infinitesimals, but it also …
- 16.6k
3
votes
In hyperreal field, can ln(ε) and ln(ω) be expressed as infinite sums?
For positive $\epsilon$, the expression $\ln \epsilon$ will be equal to its power series at $x=1$ (in the $\delta, N$ sense).
To help avoid any misunderstanding that may arise for readers of this ques …
- 16.6k
2
votes
Felix Klein on mean value theorem and infinitesimals
Springer, Cham, 2017
and analyze the extent to which the criterion has been met by Abraham Robinson's framework for analysis with infinitesimals. …
- 16.6k
13
votes
Accepted
Is there a source linking Robinson's work in wing theory with his theory of infinitesimals?
On page 238 of his book "Non-standard analysis" (Zbl 0151.00803), he explicitly connects infinitesimals in applied mathematics with hyperreal infinitesimals, in the following terms:
9.4 Sources and doublets … In the theory of continuous media, the
language of infinitesimals has a long tradition, This tradition remained
unbroken even though infinitesimals had been abandoned in pure Analysis. …
- 16.6k