• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
The Science of Proof - University of Arizona Math
The Science of Proof - University of Arizona Math

Fulltext PDF
Fulltext PDF

EMBEDDING AN ANALYTIC EQUIVALENCE RELATION IN THE
EMBEDDING AN ANALYTIC EQUIVALENCE RELATION IN THE

... of E1 and E2 are in ∆11 or in some smaller class, then how is the graph of the transitive closure of E1 ∪ E2 restricted? It will be shown here that no significant restriction of the common-knowledge partition is implied by such restriction of agents’ information partitions. For R ⊆ Ω2 , let R(1) = R ...
Classical Logic and the Curry–Howard Correspondence
Classical Logic and the Curry–Howard Correspondence

7-4 - TeacherWeb
7-4 - TeacherWeb

Sets, Functions and Euclidean Space
Sets, Functions and Euclidean Space

The Development of Mathematical Logic from Russell to Tarski
The Development of Mathematical Logic from Russell to Tarski

axioms
axioms

Topics in Logic and Proofs
Topics in Logic and Proofs

HKT Chapters 1 3
HKT Chapters 1 3

Lowness notions, measure and domination
Lowness notions, measure and domination

LOWNESS NOTIONS, MEASURE AND DOMINATION
LOWNESS NOTIONS, MEASURE AND DOMINATION

... how difficult it is to prove that POS → Gδ -REG. In Section 5, we show that RCA0 is not strong enough to prove this implication, or even that Gδ -ε → Gδ -REG. In Section 7, we show that WWKL0 ` POS → Gδ -REG. Notice that since WKL0 does not prove Gδ -REG, the fact that WWKL0 —which is weaker than WK ...
exercise 6.5 - WordPress.com
exercise 6.5 - WordPress.com

Graphing Sine and Cosine
Graphing Sine and Cosine

Full text
Full text

Interpreting Lattice-Valued Set Theory in Fuzzy Set Theory
Interpreting Lattice-Valued Set Theory in Fuzzy Set Theory

Logical nihilism - University of Notre Dame
Logical nihilism - University of Notre Dame

A Cut-Free Calculus for Second
A Cut-Free Calculus for Second

... Fuzzy logics form a natural generalization of classical logic, in which truth values consist of some linearly ordered set, usually taken to be the real interval [0, 1]. They have a wide variety of applications, as they provide a reasonable model of certain very common vagueness phenomena. Both their ...
TOPIC: - the Math Wiki!
TOPIC: - the Math Wiki!

Interactive Theorem Proving in Coq and the Curry
Interactive Theorem Proving in Coq and the Curry

... results of normalizing. Different options can be used with this command to decide what strategy to follow. One can use cbv strategy “call-by-value”, to indicate that arguments of functions should be reduced before the function, on the other hand lazy strategy can be used to mean that arguments of fu ...
Algebra 1 Units Scope and Sequence 2013-1
Algebra 1 Units Scope and Sequence 2013-1

Classical first-order predicate logic This is a powerful extension of
Classical first-order predicate logic This is a powerful extension of

The Relative Efficiency of Propositional Proof
The Relative Efficiency of Propositional Proof

... We close this section by establishing some notation and terminology specific for propositional proof systems which will be used in the rest of this paper. The letter n will always stand for an adequate set of propositional connectives which are binary, unary, or nullary (have two, one, or zero argum ...
Probability Captures the Logic of Scientific
Probability Captures the Logic of Scientific

Constructive Analysis Ch.2
Constructive Analysis Ch.2

< 1 ... 18 19 20 21 22 23 24 25 26 ... 130 >

History of the function concept

The mathematical concept of a function (and the name) emerged in the 17th century in connection with the development of the calculus; for example, the slope dy/dx of a graph at a point was regarded as a function of the x-coordinate of the point. Functions were not explicitly considered in antiquity, but some precursors of the concept can perhaps be seen in the work of medieval philosophers and mathematicians such as Oresme.Mathematicians of the 18th century typically regarded a function as being defined by an analytic expression. In the 19th century, the demands of the rigorous development of analysis by Weierstrass and others, the reformulation of geometry in terms of analysis, and the invention of set theory by Cantor, eventually led to the much more general modern concept of a function as a single-valued mapping from one set to another.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report