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Everything about Internal set
Type of set in mathematical logic
In mathematical logic, in particular in model theory and nonstandard analysis, an internal set is a set that is a member of a model. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Internal setA 5-minute orientation
- Skim a recent paper: X-IIoTID: A Connectivity-Agnostic and Device-Agnostic Intrusion Data Set for Industrial Internet of ThingsInfluential work since 2022
- Pick up a classic book: Introduction to Mathematical ProofsThe most-reprinted book on the subject
- Read the landmark paper: An internally consistent thermodynamic data set for phases of petrological interestCited 4,089 times
- Go sideways: Hyperfinite setA closely related topic
- Go sideways: Standard part functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
An internally consistent thermodynamic data set for phases of petrological interest
Internal set theory: A new approach to nonstandard analysis
The stroke impairment assessment set: Its internal consistency and predictive validity
External and internal stability in set optimization
Water effect on internal friction of set plaster
Gene set internal coherence in the context of functional profiling
On Measuring Internal Dependence in a Set of Random Variables
Set-Shifting Aptitude in Parkinson's Disease: External versus Internal Cues
🆕 Influential since 2022
X-IIoTID: A Connectivity-Agnostic and Device-Agnostic Intrusion Data Set for Industrial Internet of Things
Reconciling theory and context: How the case study can set a new agenda for international business research
A core outcome set for post-COVID-19 condition in adults for use in clinical practice and research: an international Delphi consensus study
An Internal Waves Data Set From Sentinel‐1 Synthetic Aperture Radar Imagery and Preliminary Detection
Assessing the development of global competence in teacher education programmes: internal consistency and reliability of a set of rubrics
📚 Books worth reading
Introduction to Mathematical ProofsNicholas A. Loehr · 2019
Medical Image ProcessingTamalika Chaira · 2015- 📕Mathematics Higher LevelJosip Harcet, Lorraine Heinrichs · 2012
Black Dragon GrimoireRobert Blanchard · 1997
Ancient Grimoire of Dark MagickRobert Blanchard · 1993
Counterclaims before the International Court of JusticeConstantine Antonopoulos · 2011
The geometry of metric and linear spacesL. M. Kelly · 1975- 📕Three songs = Tres cancionesBlas Galindo · 1947
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Hyperfinite set In nonstandard analysis, a branch of mathematics, a hyperfinite set or *-finite set is a type of internal set. An internal set H of internal cardinality…
- Standard part function In nonstandard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard…
- Overspill In nonstandard analysis, a branch of mathematics, overspill (referred to as overflow by Goldblatt (1998, p. 129)) is a widely used proof technique. It…
- Fréchet filter In mathematics, the Fréchet filter, also called the cofinite filter, on a set X {\displaystyle X} is a certain collection of subsets of X {\displaystyle…
- Hyperinteger In nonstandard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part. A hyperinteger may be either finite or infinite…
- Transfer principle In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure. One…
- Type (model theory) In model theory and related areas of mathematics, a type is an object that describes how a (real or possible) element or finite collection of elements…
- Hyperreal number In mathematics, the hyperreal numbers are the elements of one of several possible field extensions ∗ℝ of the field of real numbers ℝ, extensions that include…