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Everything about Standard part function
Function from the limited hyperreal to the real numbers
In nonstandard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard part function "rounds off" a finite hyperreal to the nearest real. It associates to every such hyperreal, the unique real infinitely close to it, i.e. is infinitesimal. As such, it is a mathematical implementation of the historical concept of adequality introduced by Pierre de Fermat, as well as Leibniz's transcendental law of homogeneity. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Standard part functionA 5-minute orientation
- Skim a recent paper: The Structure of Density-Potential Mapping. Part I: Standard Density-Functional TheoryInfluential work since 2022
- Pick up a classic book: Human Nature and Conduct An Introduction to Social PsychologyThe most-reprinted book on the subject
- Read the landmark paper: New international technical standard on interpretive strategies for lung function tests (Part 1)Cited 1 times
- Go sideways: Nonstandard calculusA closely related topic
- Go sideways: HyperintegerA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
New international technical standard on interpretive strategies for lung function tests (Part 1)
Nuovi sviluppi dello standard DICOM: Part14 “Grayscale Standard Display Function”
Estimation of some exponential sums containing the fractional part function and some other ``non-standard" exponential sums
🆕 Influential since 2022
📚 Books worth reading
Human Nature and Conduct An Introduction to Social PsychologyJohn Dewey, john dewey · 1922- 📕Self-study manual on optical radiation measurementsFred E. Nicodemus · 1976
Wiring regulations in briefRay Tricker · 2007
She Comes FirstIan Kerner · 2004
Eloquent JavascriptMarijn Haverbeke · 2009
Discrete mathematicsKenneth A. Ross · 1985
The little SAS bookLora D. Delwiche, Susan J. Slaughter · 1995
Code CompleteSteve McConnell · 1993
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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