• 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 →
 
Sign in Sign up
Upload
a-logic - Digital Commons@Wayne State University
a-logic - Digital [email protected] State University

THE DISTRIBUTION OF PRIME NUMBERS Andrew Granville and K
THE DISTRIBUTION OF PRIME NUMBERS Andrew Granville and K

Farmat`s Last Theorem
Farmat`s Last Theorem

3 Congruence
3 Congruence

... During the course of the proof of theorem 3.10 , we proved the following useful result. Theorem 3.12 If ab ≡ ac mod n and if gcd(a, n) = 1, then we have b ≡ c mod n. In short, we can cancel the factor a from both sides of the congruence so long as gcd(a, n) = 1. In algebra, we learn that we “can div ...
ON THE DISTRIBUTION OF EXTREME VALUES
ON THE DISTRIBUTION OF EXTREME VALUES

Characterstics of Ternary Semirings
Characterstics of Ternary Semirings

Revising the AGM Postulates
Revising the AGM Postulates

Announcement as effort on topological spaces
Announcement as effort on topological spaces

ON THE ERROR TERM OF THE LOGARITHM OF THE LCM OF A
ON THE ERROR TERM OF THE LOGARITHM OF THE LCM OF A

x,y
x,y

Limitations
Limitations

Summary of lectures.
Summary of lectures.

X - NUS School of Computing
X - NUS School of Computing

X - NUS School of Computing
X - NUS School of Computing

Diskrete Mathematik für Informatik (SS 2017)
Diskrete Mathematik für Informatik (SS 2017)

... I hope that these slides will serve as a practice-minded introduction to various aspects of discrete mathematics which are of importance for computer science. I would like to warn you explicitly not to regard these slides as the sole source of information on the topics of my course. It may and will ...
Notes for Number Theory
Notes for Number Theory

Chapter 9
Chapter 9

JUXTAPOSITION - Brown University
JUXTAPOSITION - Brown University

Analysis Notes (only a draft, and the first one!)
Analysis Notes (only a draft, and the first one!)

... We will be interested just in two (binary) operations on R, called addition and multiplication. Apart from these two operations, we will also be interested in a (binary) relation <. Our definition will take some time, till page 23. Definition 2.0.1 A set R together with two binary operations + and × ...
ON THE ERROR TERM OF THE LOGARITHM OF THE LCM OF A
ON THE ERROR TERM OF THE LOGARITHM OF THE LCM OF A

The arithmetic mean of the divisors of an integer
The arithmetic mean of the divisors of an integer

13(4)
13(4)

Enumerations in computable structure theory
Enumerations in computable structure theory

Elementary Number Theory - science.uu.nl project csg
Elementary Number Theory - science.uu.nl project csg

... first few: ...
14(4)
14(4)

1 2 3 4 5 ... 130 >

Mathematical proof



In mathematics, a proof is a deductive argument for a mathematical statement. In the argument, other previously established statements, such as theorems, can be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms. Proofs are examples of deductive reasoning and are distinguished from inductive or empirical arguments; a proof must demonstrate that a statement is always true (occasionally by listing all possible cases and showing that it holds in each), rather than enumerate many confirmatory cases. An unproved proposition that is believed true is known as a conjecture.Proofs employ logic but usually include some amount of natural language which usually admits some ambiguity. In fact, the vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics (in both senses of that term). The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language.
  • studyres.com © 2023
  • DMCA
  • Privacy
  • Terms
  • Report