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Topic: Normal form

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	Normal Forms - Scholarpedia
		A normal form of a mathematical object, broadly speaking, is a simplified form of the object obtained by applying a transformation (often a change of coordinates) that is considered to preserve the essential features of the object.
		Although the asymptotic use of normal forms is important when it is true, and has many practical applications, the primary importance of normal forms is as a preparatory step towards the study of qualitative dynamics, unfoldings, and bifurcations.
		Normal forms are important for determining bifurcations of a system, but this requires the inclusion of unfolding parameters.
	www.scholarpedia.org /article/Normal_Forms (1303 words)

	PlanetMath: normal form game
		A normal form game is a game of complete information in which there is a list of
		Normal form games with two players and finite strategy sets can be represented in normal form, a matrix where the rows each stand for an element of
		This is version 3 of normal form game, born on 2002-07-23, modified 2006-12-17.
	planetmath.org /encyclopedia/NormalForm.html (148 words)

	Normal Forms
		Normal form methods are a very useful tool for the study of the local dynamics of nonlinear systems around fixed points.
		For Hamiltonian systems or other volume-preserving systems, the normal form function is never strictly zero; but the magnitude of its usually very small positive bound allow to put rather extended bounds on stability times of the dynamics.
		From a computational point of view, the bounding of the normal form defect function represents a formidable challenge; there are large numbers of local extrema, and the function itself consists of a very large number of terms.
	bt.pa.msu.edu /index_normalform.htm (388 words)

	Analytic normal form for CR singular surfaces in C3 - Coffman (ResearchIndex)
		Analytic normal form for CR singular surfaces in C3 (2004)
		The analyticity of the normalizing transformation is proved using a rapid convergence argument.
		Coffman, Analytic normal form for CR singular surfaces in C, Preprint.
	citeseer.ist.psu.edu /coffman04analytic.html (340 words)

	MySQL AB :: An Introduction to Database Normalization
		Database normalization is a process by which an existing schema is modified to bring its component tables into compliance with a series of progressive normal forms.
		The goal of database normalization is to ensure that every non-key column in every table is directly dependent on the key, the whole key and nothing but the key and with this goal come benefits in the form of reduced redundancies, fewer anomalies, and improved efficiencies.
		The normalization process involves getting our data to conform to progressive normal forms, and a higher level of normalization cannot be achieved unless the previous levels have been satisfied (though many experienced designers can create normalized tables directly without iterating through the lower forms).
	dev.mysql.com /tech-resources/articles/intro-to-normalization.html (2353 words)

	XML.com: Normalizing XML, Part 2
		Having confronted some of the subtleties of dealing with second and third normal forms, we now proceed to fourth normal form, which is the first form to deal with multivalued facts.
		The benefits of fifth normal form in storage efficiency are a little harder to quantify for XML than for relational databases, but they are certainly there, as well.
		The broader point of fifth normal form, as with all the others, is to avoid redundant statements of fact, and that is as valid for XML as for relational data.
	www.xml.com /pub/a/2002/12/04/normalizing.html?page=last&x-showcontent=off&x-maxdepth=0 (672 words)

	Eliminating QJSA as the Normal Form of Benefit (September 2006)
		As background, the IRS has provided guidance in the form of a Revenue Ruling that, in order to terminate a qualified plan, the date of termination must be established, and all plan assets must be distributed as soon as administratively feasible after the date of termination.
		In order to distribute their accounts, the second step of the solution was to amend the plan to eliminate the QJSA option as the normal form of benefit.
		By eliminating the QJSA option as the normal form of benefit, the plan was able to take advantage of DOL guidance which provides that a terminated defined contribution plan without annuity options can distribute all benefits as involuntary single-sum distributions.
	www.reish.com /publications/article_detail.cfm?ARTICLEID=604 (552 words)

	Conjunctive normal form
		As a normal form, it is useful in automated theorem proving.
		Note that all logical formulas can be converted into conjunctive normal form through repeated application of the distributive law of disjunction over conjunction, thus when making proofs on formulas or on the structure of formulas it is often convenient to assume that everything is in CNF.
		Conjunctive normal form can be taken further to yield the clausal normal form of a logical formula, that is used to preform first-order resolution.
	www.xasa.com /wiki/en/wikipedia/c/co/conjunctive_normal_form_1.html (369 words)

	normalforms
		The sl(2) normal form may admit the most efficient set of algorithms for computation of normal forms by computer algebra (when a nilpotent part is present)..
		The chief drawback to the sl(2) normal form, aside from its steep learning curve (requiring sl(2) representation theory), are the ``nuisance factors'' (the pressures) that inevitably enter in some way, no matter how the nilpotent part is embedded into an sl(2) triad.
		Furthermore, his work is not limited to the normal form, but extends to what are called hypernormal forms in my book; his version of the hypernormal form may be called the inner product hypernormal form style, because it is based on the same inner product used for the normal form.
	orion.math.iastate.edu /jmurdock/normalforms.htm (1485 words)

	Normal Forms and Skolem Functions (Site not responding. Last check: )
		Normal forms are based on the expressing formulas in terms of negation, conjunction, disjunction, and the quantifiers, {¬, /\, \/, /\x, \/x}.
		The procedure to convert a formula to negation normal form is to recursively replace formulas appearing on the left with formulas appearing on the right.
		A formula is placed in prenix normal form by recursively moving quantifiers outward so that all quantifiers appear at the beginning of the formula.
	cs.wwc.edu /~aabyan/Logic/normal.html (671 words)

	Fourth normal form and normalization
		Lack of normalization (where one made no attempt to produce a normalized model) is usually from habits with previous technology or laziness.
		The problem with most descriptions of normalization is that they only talk in terms of the tables/relations themselves, from which they make standard assumptions of what business rules are likely to exist given the sample data and then show just the new tables.
		A decision to not normalize a particular area may actually be the result of known or possible violations of a business rule: ZIP-codes do not always uniquely determine a city or exclusive deals for puppies may later be possible.
	www.chimu.com /publications/short/normalization.html (798 words)

	Practical database design, Part 2
		Normalization is a process in which an initial DB design is transformed, or decomposed, into a different, but equivalent, design.
		These Normal Forms form a hierarchy in such a way that a schema in a higher normal form automatically fulfills all the criteria for all of the lower Normal Forms.
		Boyce-Codd Normal Form (BCNF) is an extension of 3NF in the case with two or more candidate keys which are composite and overlapping (that is, they have at least one field in common).
	www-106.ibm.com /developerworks/web/library/wa-dbdsgn2.html (2862 words)

	CONJUNCTIVE NORMAL FORM
		forme normale conjonctive, forme de clauses, forme conjonctive normalisée, forme clausale.
		forma de cláusula (clause form), forma conjuntiva normalizada (clause form).
		forma normal conjuntiva (clause form), forma de cláusulas (clause form), forma clausular (clause form).
	www.websters-online-dictionary.org /definition/english/Co/Conjunctive_Normal_Form.html (132 words)

	Chomsky normal form - Definition, explanation
		Every grammar in Chomsky normal form is context-free, and conversely, every context-free grammar which does not generate the empty string can be transformed into an equivalent one which is in Chomsky normal form.
		The Chomsky normal form of a context-free grammar is important because it yields efficient algorithms.
		The Chomsky normal form is named after Noam Chomsky, the US linguist who invented the Chomsky hierarchy.
	www.calsky.com /lexikon/en/txt/c/ch/chomsky_normal_form.php (151 words)

	Relations Have Normal Forms
		Stating that "a scheme is in normal form 'x'" is only a statement of an aggregation; that every relation in the schema is in normal form 'x'.
		The elimination of redundancy and ambiguity through the 5 normal forms is defined per tuple and relation, and not (repeat not) in terms of the entire database.
		The normal forms don't seem to be concerned with constraints, other than the proscription on duplicates - but that's so fundamental to relational theory that it's not thought of as a constraint.
	c2.com /cgi/wiki?RelationsHaveNormalForms (1411 words)

	Data Normalization
		Normalization is a structured process for organizing data into tables in such a way that it preserves the relationships among the data.
		This data is in unnormal form because it violates the rules of first normal form.
		C.O.D. To put a table in second normal form requires (1) that you identify the primary key, and (2) that you determine the relationships between the parts of the key and the data.
	academic.regis.edu /ladams/normal.htm (1880 words)

	MySQL: Learning the Database Design Process > Understanding Normalization
		Taking your student and courses database to the first normal form would mean that you create two tables: one for students and one for courses, shown in Figure 3.9.
		The third normal form is the last form we'll look at, and you'll find it's just as simple to understand as the first two.
		Third normal form is usually adequate for removing redundancy and allowing for flexibility and growth.
	www.informit.com /articles/article.asp?p=27281&seqNum=4&rl=1 (923 words)

	A Semantic Normal Form for Clinical Drugs in the UMLS
		The dose form would be the form in which a drug was administered to a patient, as opposed to the form in which the manufacturer had supplied it.
		The second form is that of the clinical formulation, referred to as SCD, consisting of component(s) and a dose form.
		Furthermore, in cases where the VANDF dose form field reflects a manufactured dose form which differs from the administered dose form (e.g., powders to be dissolved or suspended), mappings and SCDs may be incorrect, hence causing false positive synonymy downstream.
	www.nlm.nih.gov /mesh/semanticnorm.html (2783 words)

	Separate speaker notes to accompany presentational on normalization with examples up through fourth normal form: (Site not responding. Last check: )
		Again the value of adhering to third normal form involves updating and data consistency.
		A way of handling the product and deduction problem to meet the specifications of 4th normal form is shown on the next slide.
		This is an example of 4th normal form.
	webber.bristol.mass.edu /pgrocer/cis39/normal1.html (687 words)

	Relational Model: Advanced Normalization
		However, advanced normal forms are presented because there are cases where they are required.
		Boyce-Codd normal form (BCNF) is a more rigorous version of the 3NF deal with relational tables that had (a) multiple candidate keys, (b) composite candidate keys, and (c) candidate keys that overlapped.
		While the first four normal forms are based on the concept of functional dependence, the fifth normal form is based on the concept of join dependence.
	www.utexas.edu /its/windows/database/datamodeling/rm/rm8.html (720 words)

	Normalise to Higher Normal Forms \| Database Solutions for Microsoft Access \| databasedev.co.uk
		Designing your tables to comply with 3NF (third normal form) is usually sufficient to ensure good design so, most of the time, you can stop right here.
		The second choice, however, would not comply with third normal form because the CourseNum is not determined by the combination of Student and TA; it only depends on the value in TA (see the business rules).
		This is the situation that Boyce-Codd normal form addresses; the combination of Student + TA could not be considered to be a candidate key.
	www.databasedev.co.uk /higher_norm_form.html (1351 words)

	Amazon.com: Normal Forms and Unfoldings for Local Dynamical Systems: Books: James Murdock (Site not responding. Last check: )
		This book is about normal forms--the simplest form into which a dynamical system can be put for the purpose of studying its behavior in the neighborhood of a rest point--and about unfoldings--used to study the local bifurcations that the system can exhibit under perturbation.
		The interaction between the algebraic structure of normal forms and their geometrical consequences is emphasized.
		Presents the advanced theory of normal forms, showing their interaction with representation theory, invariant theory, Groebner basis theory, and structure theory of rings and modules.
	www.amazon.com /Normal-Forms-Unfoldings-Dynamical-Systems/dp/0387954643 (1051 words)

	ACC: Database Normalization Basics
		Normalization is the process of organizing data in a database.
		In theory, normalization is worth pursuing; however, many small tables may degrade performance or exceed open file and memory capacities.
		It may be more feasible to apply third normal form only to data that changes frequently.
	support.microsoft.com /kb/100139 (1179 words)

	[No title] (Site not responding. Last check: )
		Second normal form(2NF): First, to be in second normal form you must also be in first normal form.
		Therefore, to be in second normal form no attribute or column in the table can be only dependent on one of these parts.
		Third normal form (3NF): First, to be in third normal form you must be in second normal form which means you are also in first normal form.
	www.bristol.mass.edu /pgrocer/cis50/presentations/normalization/normalization.PPT (415 words)

	Normal Forms
		A database is said to be in one of the Normal Forms if it satisfies the rules required by that Form; it also will not suffer from any of the problems addressed by the Form.
		The other normal forms are important, but not as easy to break or address problems that aren’t as common.
		A database that is in a higher normal form is also in all of the lower normal forms.
	www.trumpetpower.com /Papers/Normal_Forms (3040 words)

	APPLICATIONS TO ANALYTICGEOMETRY
		A normal vector for a plane is said to be perpendicular to the plane.
		In three-space, the normal vector serves the function of the slope in two-space.
		This form of the equation is called the point-normal form since the coordinates of the point and components of the normal appear explicitly.
	distance-ed.math.tamu.edu /Math640/chapter2/node8.html (584 words)

	A Simple Guide to Five Normal Forms in Relational Database Theory (Site not responding. Last check: )
		The term "normalization" is sometimes used relative to a particular normal form.
		These normal forms attempt to minimize the number of fields involved in a composite key, as suggested by the examples to follow.
		Fifth normal form is considered to be the "ultimate" normal form with respect to such redundanciesæ.
	www.bkent.net /Doc/simple5.htm (3695 words)

	Intentionality detection and "mindreading": Why does game form matter? -- McCabe et al. 97 (8): 4404 -- Proceedings of ...
		The matrix normal form is shown in Table 1.
		In a single play of the matrix normal form, the scope for intentionality detection is sharply reduced.
		repetition, coordination in the normal form is illusive and difficult.
	www.pnas.org /cgi/content/full/97/8/4404 (4580 words)

	Normal Form Conventions for XML Representations of Structured Data
		By the concrete use, when talking about a normal form for a particular dataset, that is a particular collection of individuals, atoms, types and relations, I mean a representation or encoding in XML of that dataset.
		This Normal Form is quite counter-intuitive from the perspective of the document markup tradition, but is quite similar to some approaches to archive or transfer syntaxes for relational databases.
		I hope the enumeration of Normal Forms presented here may help others in redressing this deficit: we already have some evidence [KrupnikovThompson01] that it yields practical benefits in supporting an XML-Schema-based approach to the declarative specification of the relation between XML document types and the application data they encode.
	www.ltg.ed.ac.uk /~ht/normalForms.html (1683 words)

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