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# Normal form

## Definition of the noun Normal form

What does Normal form mean as a name of something?

noun

1. [databases] Any of various forms of a relational database providing criteria for determining a table's degree of vulnerability to logical inconsistencies and anomalies.
2. [game theory] A matrix that represents the possible outcomes of a game
3. [mathematics] A standard, canonical way of presenting an object.

## Explanation

1. Normal form: In abstract rewriting, an object is in normal form if it cannot be rewritten any further. Depending on the rewriting system and the object, several normal forms may exist, or none at all.
2. Normal form: In mathematics, the normal form of a bifurcation is a simple dynamical system which is equivalent to all systems exhibiting this bifurcation.
3. Normal form: An inference of natural deduction is a normal form, according to Dag Prawitz, if no formula occurrence is both the principal premise of an elimination rule and the conclusion of an introduction rule.

## Printed dictionaries and other books with definitions for Normal form

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### Programming Concepts and Methods PROCOMET ’98 (2013)

IFIP TC2 / WG2.2, 2.3 International Conference on Programming Concepts and Methods (PROCOMET ’98) 8–12 June 1998, Shelter Island, New York, USA by David Gries, Willem-Paul de Roever

A weak head normal form is a term of one of the following two kinds: (a) an application term of the form a M1...

A head normal form is a term of the following kind: (a) At 1...

### Formal Engineering for Industrial Software Development (2013)

Using the SOFL Method by Shaoying Liu

A disjunctive normal form is a special kind of disjunction in which each constituent propositional expression, usually...

The characteristic of such a disjunctive normal form is that it evaluates to true as long as one of the disjunctive clauses ...

### Pro SQL Server 2012 Relational Database Design and Implementation (2012)

by Louis Davidson, Jessica Moss

Fifth Normal Form is a general rule that breaks out any data redundancy that has not specifically been culled out by...

Form Fifth Normal Form is an esoteric rule that is only occasionally violated, but it is interesting nonetheless because it does ...

### Parsing Techniques (2007)

A Practical Guide by Dick Grune, Ceriel J.H. Jacobs

So, for efficiency, Chomsky Normal Form is a bit too restrictive. A disadvantage of this transformation to CNF is that the resulting recognition table lacks some information that we need to construct a derivation using the original grammar.

### The Calculus of Computation (2007)

Decision Procedures with Applications to Verification by Aaron R. Bradley, Zohar Manna

A normal form is a set of syntactically restricted formulae such that every FOL formula is equivalent to some member of the set. • A review of decidability and complexity theory, which provides the concepts necessary for discussing decidability ...

### Power System Dynamics and Control (2016)

by Harry G. Kwatny, Karen Miu-Miller

A normal form is a convenient way of representing a class of equivalent systems. It is a member of the class which is simple in some convenient and acceptable sense. Unlike a canonical form, the normal form is not chosen to meet any specific ...

### Mathematics and Computation in Music (2009)

First International Conference, MCM 2007, Berlin, Germany, May 18-20, 2007. Revised Selected Papers by Timour Klouche, Thomas Noll

Normal form is an ordering standard for pitch-class sets that facilitates finding structural relationships and properties through comparative analysis. However, the analytical process often fails to correctly identify important relationships or ...

### Hybrid Problems, Hybrid Solutions (1995)

by John Hallam

normal form is a conjunction of clauses, where each clause a disjunction of literals and each literal is a negated or un- negated variable. aS.d. here represents sample standard deviation, Dot standard error of Hybrid Problems. Hybrid ...

### Ancient Stone Implements, Weapons, and Ornaments, of Great Britain (2015)

by John Evans

The normal form is that of a broad flake chipped to a semicircular edge, usually at the end farthest from the bulb of percussion, the edge being bevelled away from the flat face of the flake, like that of a round-nosed turning-chisel. The name of ...

### Handbook of Linear Algebra (2006)

by Leslie Hogben

The Smith normal form is a canonical form for square matrices over principal ideal domains (see Chapter 23); it is discussed here only as it pertains to the computation of the rational canonical form. If any one of these canonical forms is known, ...

### Evenings at the Microscope, Or Researches Among the Minuter Organs and Forms of Animal Life (1868)

by Philip Henry Gosse

Neglecting, then, the irregular pieces, we perceive that the normal form is an oval of open work, built up by the repetition of a single element.

### Lyric Music Series (1915)

by Arthur Edward Johnstone, Harvey Worthington Loomis

The normal form is that form that strictly accords with the signature, while the harmonic form raises the seventh degree a halfstep with an accidental. Page 85: “The Fairy Ring.” The first Git of the tune is purely a chromatic inflection, and does ...

### Encyclopedia of Computer Science and Technology (1993)

Volume 29 - Supplement 14: Agent-Oriented Programming to Socio-Organizational Aspects of Expert System Design by Allen Kent, James G. Williams

There are two methods for vertical normalization: normalization through vertical decomposit1on from first normal form up to project-join normal form using multivalued and join dependencies, and normalization through synthesis from first ...

### Encyclopedia of Nonlinear Science (2006)

by Alwyn Scott, Emeritus Professor of Mathematics Alwyn Scott

The figures on the left are from numerical integrations and the figures on the right are from Birkhoff–Gustavson normal form theory. The figures have been reproduced from Gustavson (1966). The transition from regular behavior to irregular ...

### Information Technology Encyclopedia and Acronyms (2012)

by Ejub Kajan

Normal Form 3 2NF Second (2nd) Normal Form 5 2PC 2 (Two)-Phase Commit ...

### Concise Dictionary of Mathematics (2012)

r mr b θ= θ+ Normal form The normal for a given line is defined to be the shortest segment between the line and the origin. The normal form of the equation of a straight line is ...

### Encyclopaedia of Mathematics (2013)

A-Integral — Coordinates by M. Hazewinkel

into an equivalent disjunctive normal form, containing all variable formulas of ...

### The Mathematics Dictionary (1992)

by R.C. James, Glenn James

Normal form. The equation x cos ta + y sin u > — p = 0.

## Online dictionaries and encyclopedias with entries for Normal form

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Geissorhiza radians Semi-alba with normal form

Photo credit: Wilferd Duckitt

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