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Forums
Mathematics
Calculus
Representation of infinitesimals in different ways
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[QUOTE="Mike_bb, post: 6643949, member: 701211"] Hello. There are 4 types of infinitesimals: 1) dx=1/N, N is the number of elemets of the set of the natural numbers (letter N is used to indicate the cardinality of the set of natural numbers) 2) Hyperreal numbers: ε=1/ω, ω is number greater than any real number. 3) Surreal numbers: { 0, 1, 2, 3, ... | } = ω , { 0 | 1, 1/2, 1/4, 1/8, ...} = ε, where ω is a transfinite number greater than all integers and ε is an infinitesimal greater than 0 but less than any positive real number. 4) Nilpotent infinitesimals are numbers ε where ε[SUP]2[/SUP] = 0 Infinitesimals are represented in different ways. What is difference between them? Thanks. [/QUOTE]
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Mathematics
Calculus
Representation of infinitesimals in different ways
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