Question

Definition of arithmetic operations for hyperreal numbers

score 70 · Answer 1 · 2023-08-30 12:49:26

70

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Definition of arithmetic operations for hyperreal numbers

Published on 30 Aug 2023 - 12:49

score 84 · Answer 2 · 2023-09-03 12:20:11

84

Views

How to prove that infinitely small and large numbers can be used as measures of rates of convergence?

Published on 03 Sep 2023 - 12:20

score 210 · Answer 3 · 2023-09-12 13:44:29

210

Views

Is it a good idea to learn about hyperreals and how they are related to limits before beginning to learn about calculus?

Published on 12 Sep 2023 - 13:44

score 140 · Answer 4 · 2026-02-23 01:25:06

140

Views

Confusion about the model in Robert’s Nonstandard Analysis

Published on 23 Feb 2026 - 1:25

score 274 · Answer 5 · 2023-09-20 21:37:35

274

Views

Is there a lack of rigor in the standard analysis?

Published on 20 Sep 2023 - 21:37

score 81 · Answer 6 · 2023-09-29 20:45:09

81

Views

Equivalence relationship defined over membership of a in halo of b. (Non-Standard Analysis, Monads, Halos)

Published on 29 Sep 2023 - 20:45

score 264 · Answer 7 · 2023-10-17 02:20:40

264

Views

Are the hyperreal numbers separable? Can we construct a computable dense of them?

Published on 17 Oct 2023 - 2:20

score 77 · Answer 8 · 2023-11-07 21:05:35

77

Views

Can an Ultrafilter be defined in terms of the Convergence of a Sequence?

Published on 07 Nov 2023 - 21:05

score 835 · Answer 9 · 2023-11-14 05:22:23

835

Views

Nonstandard infinite / hyperfinite sum in IST

Published on 14 Nov 2023 - 5:22

score 153 · Answer 10 · 2023-11-15 05:40:51

153

Views

How to use Internal Set Theory to prove Nelson's axioms in "Radically Elementary Probability Theory"

Published on 15 Nov 2023 - 5:40

score 67 · Answer 11 · 2023-11-20 15:21:30

67

Views

What is difference in approaches between using standard part in NSA and limit?

Published on 20 Nov 2023 - 15:21

score 65 · Answer 12 · 2023-11-20 22:24:20

65

Views

In IST, can nonstandard functions take standard objects to nonstandard objects?

Published on 20 Nov 2023 - 22:24

score 66 · Answer 13 · 2023-11-23 01:18:34

In nonstandard probability theory, does an event hold nearly everywhere iff it holds on an event whose complement has infinitesimal probability?

score 142 · Answer 14 · 2023-12-06 04:57:35

142

Views

Are Distributions just functions with infinitesimal coefficients?

Published on 06 Dec 2023 - 4:57

score 62 · Answer 15 · 2023-12-07 01:16:22

62

Views

How can I prove the existence of delta-incomplete / countable incomplete ultrafilters?

Published on 07 Dec 2023 - 1:16

List Question

Definition of arithmetic operations for hyperreal numbers

How to prove that infinitely small and large numbers can be used as measures of rates of convergence?

Is it a good idea to learn about hyperreals and how they are related to limits before beginning to learn about calculus?

Confusion about the model in Robert’s Nonstandard Analysis

Is there a lack of rigor in the standard analysis?

Equivalence relationship defined over membership of a in halo of b. (Non-Standard Analysis, Monads, Halos)

Are the hyperreal numbers separable? Can we construct a computable dense of them?

Can an Ultrafilter be defined in terms of the Convergence of a Sequence?

Nonstandard infinite / hyperfinite sum in IST

How to use Internal Set Theory to prove Nelson's axioms in "Radically Elementary Probability Theory"

What is difference in approaches between using standard part in NSA and limit?

In IST, can nonstandard functions take standard objects to nonstandard objects?

In nonstandard probability theory, does an event hold nearly everywhere iff it holds on an event whose complement has infinitesimal probability?

Are Distributions just functions with infinitesimal coefficients?

How can I prove the existence of delta-incomplete / countable incomplete ultrafilters?

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