Question

Is it possible to say that $dx$ indistinguishable from zero in classical analysis as $\varepsilon$ in Smooth Infinitesimal Analysis?

score 121 · Answer 1 · 2026-02-23 06:23:16

121

Views

Is it possible to say that $dx$ indistinguishable from zero in classical analysis as $\varepsilon$ in Smooth Infinitesimal Analysis?

Published on 23 Feb 2026 - 6:23

score 74 · Answer 2 · 2026-02-23 06:25:21

74

Views

How to prove that hypotenuse of differential triangle coincides with the segment of the curve?

Published on 23 Feb 2026 - 6:25

score 34 · Answer 3 · 2023-11-03 10:20:03

34

Views

Use of elemental length in volume of a truncated cone

Published on 03 Nov 2023 - 10:20

score 88 · Answer 4 · 2026-02-23 06:18:50

88

Views

Discontinuous function on $\Delta$ in Smooth Infinitesimal Analysis

Published on 23 Feb 2026 - 6:18

score 58 · Answer 5 · 2023-11-07 05:12:57

Is there a formula or algorithm to remove infinitesimal and oscillating parts from an expression while keeping finite and infinite ones?

score 145 · Answer 6 · 2026-02-23 06:20:34

145

Views

How to prove that we can't define discontinuous function on $R$?

Published on 23 Feb 2026 - 6:20

score 129 · Answer 7 · 2023-11-09 10:57:54

129

Views

Using infinitesimals in multivariable calculus

Published on 09 Nov 2023 - 10:57

score 247 · Answer 8 · 2023-11-11 18:01:33

247

Views

Why do we put $\mathrm{d}x$ in the integral?

Published on 11 Nov 2023 - 18:01

score 68 · Answer 9 · 2026-03-25 23:08:35

68

Views

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

Published on 25 Mar 2026 - 23:08

score 162 · Answer 10 · 2026-02-23 08:25:56

162

Views

How to prove that there are nilsquare infinitesimals that indistinguishable from zero?

Published on 23 Feb 2026 - 8:25

score 143 · Answer 11 · 2026-03-25 23:10:32

143

Views

Are Distributions just functions with infinitesimal coefficients?

Published on 25 Mar 2026 - 23:10

score 99 · Answer 12 · 2026-02-23 08:24:25

99

Views

Definition of first order infinitesimal number using equivalence classes

Published on 23 Feb 2026 - 8:24

score 54 · Answer 13 · 2026-02-23 08:25:55

54

Views

Why is $x(t):=|t|^a$ not an element of $D$? (Synthetic Differential Geometry)

Published on 23 Feb 2026 - 8:25

score 299 · Answer 14 · 2026-03-26 02:41:33

299

Views

Cauchy sequence for $0$ in non-standard analysis

Published on 26 Mar 2026 - 2:41

score 108 · Answer 15 · 2024-01-04 12:32:35

108

Views

Infinitesimal step in different coordinates

Published on 04 Jan 2024 - 12:32

List Question

Is it possible to say that $dx$ indistinguishable from zero in classical analysis as $\varepsilon$ in Smooth Infinitesimal Analysis?

How to prove that hypotenuse of differential triangle coincides with the segment of the curve?

Use of elemental length in volume of a truncated cone

Discontinuous function on $\Delta$ in Smooth Infinitesimal Analysis

Is there a formula or algorithm to remove infinitesimal and oscillating parts from an expression while keeping finite and infinite ones?

How to prove that we can't define discontinuous function on $R$?

Using infinitesimals in multivariable calculus

Why do we put $\mathrm{d}x$ in the integral?

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

How to prove that there are nilsquare infinitesimals that indistinguishable from zero?

Are Distributions just functions with infinitesimal coefficients?

Definition of first order infinitesimal number using equivalence classes

Why is $x(t):=|t|^a$ not an element of $D$? (Synthetic Differential Geometry)

Cauchy sequence for $0$ in non-standard analysis

Infinitesimal step in different coordinates

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