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Form A selection of articles related to Form

We recommend this article: Form - 1, and also this: Form - 2.

form, Form, Form - Form in philosophy, Pattern

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ARTICLES RELATED TO Form

Form: Encyclopedia II - Differential form - Integration of forms

Differential forms of degree k are integrated over k dimensional chains. If k = 0, this is just evaluation of functions at points. Other values of k = 1, 2, 3, ... correspond to line integrals, surface integrals, volume integrals etc. Let be a differential form and S a set for which we wish to integrate over, where S has the parameterization for u in the parameter domain D. Then [Rudin, 1976] defines the integral of the differential form over S as where < ...

See also:

Differential form, Differential form - Gentle introduction, Differential form - Properties of the wedge product, Differential form - Formal definition, Differential form - Integration of forms, Differential form - Operations on forms

Read more here: » Differential form: Encyclopedia II - Differential form - Integration of forms

Form: Encyclopedia II - Sonata form - The history of sonata form

The term sonata is first found in the seventeenth century, when instrumental music had just begun to separate itself from vocal music. Originally "sonata" (derived from the Italian word, suonare, to play) meant a piece for playing, in distinction to "cantata," a piece for singing. For some time the term sonata did not imply a definite type of form. Sonata form came to dominate many forms of musical composition during the Classical era, and was defined and made central to concert music in the Romantic era. It has continued to be influe ...

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Sonata form, Sonata form - Use of the Term, Sonata form - Outline of sonata form, Sonata form - The basic outline of a sonata-allegro movement, Sonata form - Monothematic expositions, Sonata form - Modulation to keys other than the dominant, Sonata form - Modulations within the first subject group, Sonata form - Sonata form in concertos, Sonata form - The history of sonata form, Sonata form - Sonata form and other musical forms, Sonata form - Theory of the sonata form, Sonata form - Musical criticism and sonata form

Read more here: » Sonata form: Encyclopedia II - Sonata form - The history of sonata form

Form: Encyclopedia II - Sonata form - Theory of the sonata form

The sonata form is a guide to composers as to the schematic for their works, for interpreters to understand the grammar and meaning of a work, and listeners to understand the significance of musical events. A host of musical details are determined by the harmonic meaning of a particular note, chord or phrase. The sonata form, because it describes the shape and hiearchy of a movement, tells performers what to emphasize and how to shape phrases of music. The theory of the "sonata form" begins with the description, in the 1700's, of schematics for works, and was codified in the early 19th century. This codified for ...

See also:

Sonata form, Sonata form - Use of the Term, Sonata form - Outline of sonata form, Sonata form - The basic outline of a sonata-allegro movement, Sonata form - Monothematic expositions, Sonata form - Modulation to keys other than the dominant, Sonata form - Modulations within the first subject group, Sonata form - Sonata form in concertos, Sonata form - The history of sonata form, Sonata form - Sonata form and other musical forms, Sonata form - Theory of the sonata form, Sonata form - Musical criticism and sonata form

Read more here: » Sonata form: Encyclopedia II - Sonata form - Theory of the sonata form

Form: Encyclopedia II - AT form factor - Design

Main Article: AT bus architecture AT wasn't a very large technological jump from older form factors. The AT's largest advancement was its "tower" design and a remote power switch in the front. The AT power supply provided 192 watts, a triple that of older form factors. The AT motherboard is 12 inches (305 mm) which means it won't fit in "mini desktop" or "minitower cases". The board's size also means that it takes up space behind the drive bays making installation of new drives more difficult. The power connectors for AT ...

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AT form factor, AT form factor - Design, AT form factor - Variants

Read more here: » AT form factor: Encyclopedia II - AT form factor - Design

Form: Encyclopedia II - AT form factor - Design

Main Article: AT bus architecture AT wasn't a very large technological jump from older form factors. The AT's largest advancement was its "tower" design and a remote power switch in the front. The AT power supply provided 192 watts, a triple that of older form factors. The AT motherboard is 12 inches (305 mm) which means it will not fit in "mini desktop" or "minitower cases". The board's size also means that it takes up space behind the drive bays making installation of new drives more difficult. The power connectors for ...

See also:

AT form factor, AT form factor - Design, AT form factor - Variants

Read more here: » AT form factor: Encyclopedia II - AT form factor - Design

Form: Encyclopedia II - Sonata form - Outline of sonata form

Sonata form - The basic outline of a sonata-allegro movement. The standard description of the sonata form is as follows: Introduction – This section is optional, or may be reduced to a minimum. If it is extended, it is generally slower than the main section, and focuses on the dominant key. It may or may not contain material which is later stated in the exposition. The introduction increases the weight of the movement, and also permits the composer to begin the exposition with a theme that w ...

See also:

Sonata form, Sonata form - Use of the Term, Sonata form - Outline of sonata form, Sonata form - The basic outline of a sonata-allegro movement, Sonata form - Monothematic expositions, Sonata form - Modulation to keys other than the dominant, Sonata form - Modulations within the first subject group, Sonata form - Sonata form in concertos, Sonata form - The history of sonata form, Sonata form - Sonata form and other musical forms, Sonata form - Theory of the sonata form, Sonata form - Musical criticism and sonata form

Read more here: » Sonata form: Encyclopedia II - Sonata form - Outline of sonata form

Form: Encyclopedia II - Sonata form - Sonata form in concertos

An important variant on traditional sonata-allegro form is found in the first movement of the Classical concerto. Here, the orchestra usually prepares for the entrance of the soloist by playing some of the themes that will be heard during the main part of the movement, a sort of introduction but in the main tempo. The soloist then enters, sometimes with material of its own (as in Mozart's twentieth piano concerto memorably, and others), and continues with a sonata-form exposition usually, but not always, closely related to that opening orche ...

See also:

Sonata form, Sonata form - Use of the Term, Sonata form - Outline of sonata form, Sonata form - The basic outline of a sonata-allegro movement, Sonata form - Monothematic expositions, Sonata form - Modulation to keys other than the dominant, Sonata form - Modulations within the first subject group, Sonata form - Sonata form in concertos, Sonata form - The history of sonata form, Sonata form - Sonata form and other musical forms, Sonata form - Theory of the sonata form, Sonata form - Musical criticism and sonata form

Read more here: » Sonata form: Encyclopedia II - Sonata form - Sonata form in concertos

Form: Encyclopedia II - Musical form - Descriptions of musical form

Forms and formal detail may be described as sectional or developmental, developmental or variational, syntactical or processual (Keil 1966), embodied or engendered, extensional or intensional (Chester 1970), and associational or hierarchical (Lerdahl 1983). Form may also be described according to symmetries or lack thereof and repetition. A common idea is formal "depth", necessary for complexity, in which foregrounded "detail" events occur against a more structural background. For example: Schenkerian analysis. Fred Lerdahl (1992), among oth ...

See also:

Musical form, Musical form - Descriptions of musical form, Musical form - Formal structures, Musical form - Single-movement forms, Musical form - Multi-movement forms

Read more here: » Musical form: Encyclopedia II - Musical form - Descriptions of musical form

Form: Encyclopedia II - One-form - Introduction

A one-form is a tensor of type . It is the simplest non-scalar tensor. Let represent a one-form which acts on vectors of space V, including vectors and . Then the linearity properties of are where α is a scalar. The set of all one-forms definable on the vector space V can also itself be a vector space if one-forms can be added to each other or be multiplied by scalars in a pointwise linear manner. That is, if the vectors of the space V are position vectors of points, then for every point in the space V, the following should ...

See also:

One-form, One-form - Introduction, One-form - Visualizing one-forms, One-form - Basis of the dual space, One-form - Differential one-forms, One-form - Reference

Read more here: » One-form: Encyclopedia II - One-form - Introduction

Form: Encyclopedia II - Die Form - Biography

Die Form is a French industrial and electronic band formed in 1977. The name 'Die Form' means '(the) form' in German and is a play on the English homonym 'deform'. Consisting of Philippe Fichot and Éliane P., the project is known for its innovative music and darkly erotic imagery. Live performances have involved video and film projection, live voices over pre-recorded music, and strong sado-masochistic themes. Phillipe Fichot is also a photog ...

See also:

Die Form, Die Form - Biography, Die Form - Discography, Die Form - Compilations including Die Form tracks, Die Form - Side Projects

Read more here: » Die Form: Encyclopedia II - Die Form - Biography

Form: Encyclopedia II - Modular form - Examples

The simplest examples from this point of view are the Eisenstein series: For each even integer k > 2 we define Ek(Λ) to be the sum of λ−k over all non-zero vectors λ of Λ (the condition k > 2 is needed for convergence and the condition k is even to prevent λ−k from cancelling with (−λ)−k and producing the 0 form.) An even unimodular lattice L in Rn is a lattice generated by n ...

See also:

Modular form, Modular form - As a function on lattices, Modular form - As a function on elliptic curves, Modular form - General definitions, Modular form - Examples, Modular form - Generalizations

Read more here: » Modular form: Encyclopedia II - Modular form - Examples

Form: Encyclopedia II - Indeterminate form - Discussion

To say that "0/0" is an indeterminate form does not just mean that "0/0" by itself can represent any number, or may represent no number. Those points are true, in a certain sense, but of limited practical significance when stated in those terms. It means also that the ratio of two functions f and g that approach zero can approach any member of a range of well-defined values, depending on which functions f and g are. Whether such a value exists, and what it might be, d ...

See also:

Indeterminate form, Indeterminate form - Discussion, Indeterminate form - Examples on 0/0, Indeterminate form - List of indeterminate forms

Read more here: » Indeterminate form: Encyclopedia II - Indeterminate form - Discussion

Form: Encyclopedia II - Laws of Form - The book

There are several editions of LoF, the first in 1969, the most recent (a German translation) in 1997. The mathematics fills only about 55pp and is not difficult. But LoF's mystical and declamatory prose style, and its love of paradox, make it a challenging read for mathematicians and non-mathematicians alike. In this and other respects, Spencer-Brown was much influenced by Wittgenstein and R. D. Laing. At the same time, LoF also echoes a number of themes from the work of Charles Peirce, Bert ...

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Laws of Form, Laws of Form - The book, Laws of Form - The Form, Laws of Form - The primary arithmetic and its axioms, Laws of Form - The notion of 'canon', Laws of Form - The primary algebra, Laws of Form - Applying the form to Boolean algebra and logic, Laws of Form - An example calculation, Laws of Form - A technical digression, Laws of Form - Resonances in religion philosophy and science, Laws of Form - Related work, Laws of Form - Footnotes

Read more here: » Laws of Form: Encyclopedia II - Laws of Form - The book

Form: Encyclopedia II - Laws of Form - The book

There are several editions of LoF, the first in 1969, the most recent (a German translation) in 1997. The mathematics fills only about 55pp and is not difficult. But LoF's mystical and declamatory prose style, and its love of paradox, make it a challenging read for mathematicians and non-mathematicians alike. In this and other respects, Spencer-Brown was much influenced by Wittgenstein and R. D. Laing. At the same time, LoF also echoes a number of themes from the work of Charles Peirce, Bert ...

See also:

Laws of Form, Laws of Form - The book, Laws of Form - The Form, Laws of Form - The primary arithmetic and its axioms, Laws of Form - The notion of 'canon', Laws of Form - The primary algebra, Laws of Form - Applying the form to Boolean algebra and logic, Laws of Form - An example calculation, Laws of Form - A technical digression, Laws of Form - Resonances in religion philosophy and science, Laws of Form - Related work, Laws of Form - Bibliography

Read more here: » Laws of Form: Encyclopedia II - Laws of Form - The book

Form: Encyclopedia II - Form web - XHTML/HTML forms

A form in XHTML or HTML is by far the most common way to use a form online. The following are a list of elements that can make up the user-inputting portion a form: input field text – a simple text box that allows input of a single line of text checkbox – a check box radio – a radio button submit – a button that tells the browser to take action on the form (typically to send it to a server) textarea – much like the text input field except a textarea ...

See also:

Form web, Form web - XHTML/HTML forms, Form web - Combined with PHP, Form web - XForms

Read more here: » Form web: Encyclopedia II - Form web - XHTML/HTML forms

Form: Encyclopedia II - Curvature form - Definition

Let G be a Lie group and be a principal G-bundle. Let us denote the Lie algebra of G by g. Let ω denote the connection form on E (which is a g-valued one-form on E). Then the curvature form is the g-valued 2-form on E defined by Here d stands for exterior derivative, is the Lie bracket defined by and D denotes the exterior covariant der ...

See also:

Curvature form, Curvature form - Definition, Curvature form - Bianchi identities

Read more here: » Curvature form: Encyclopedia II - Curvature form - Definition

Form: Encyclopedia II - Differential form - Properties of the wedge product

It can be proved that if f, g, and w are any differential forms, then Also, if f is a k-form and g is an l-form, then: ...

See also:

Differential form, Differential form - Gentle introduction, Differential form - Properties of the wedge product, Differential form - Formal definition, Differential form - Integration of forms, Differential form - Operations on forms

Read more here: » Differential form: Encyclopedia II - Differential form - Properties of the wedge product

Form: Encyclopedia II - Verse-chorus form - Simple verse form

Songs which feature only a repeated verse are in simple verse form (verse-chorus form without the chorus). Examples include: "Evil Ways" by Santana (1969) twelve or other bar blues which are not simple verse-chorus form (above), such as "Heartbreak Hotel", "Jailhouse Rock", "Hound Dog", and "Lucille" and with a contrasting bridge: "Eight Miles High" by The Byrds (1966) "Tomorrow Never Knows" by The Beatles (1966) "Purple Haze" by Jimi Hendrix (1967). (ibid, p.71-72) Both simple vers ...

See also:

Verse-chorus form, Verse-chorus form - Contrasting verse-chorus form, Verse-chorus form - Simple verse-chorus form, Verse-chorus form - Simple verse form, Verse-chorus form - Source

Read more here: » Verse-chorus form: Encyclopedia II - Verse-chorus form - Simple verse form

Form: Encyclopedia II - Quadratic form - Quadratic form on a module or vector space

Let V be a module over a commutative ring F; often V is a vector space over a field F. A map Q : V → F is called a quadratic form on a V if Q(au) = a2 Q(u) for all a ∈ F and u ∈ V, and B(u,v) = Q(u+v) − Q(u) − Q(v) is a bilinear form on V. B is called the associated bilinear form. Note that for any vector u ∈ < ...

See also:

Quadratic form, Quadratic form - The cases where the theory is equivalent to symmetric bilinear forms, Quadratic form - Quadratic form on a module or vector space, Quadratic form - Definiteness of a quadratic form, Quadratic form - Isotropic Spaces

Read more here: » Quadratic form: Encyclopedia II - Quadratic form - Quadratic form on a module or vector space

Form: Encyclopedia II - Differential form - Formal definition

In differential geometry, a differential form of degree k is a smooth section of the kth exterior power of the cotangent bundle of a manifold. At any point p on a manifold, a k-form gives a multilinear map from the k-th cartesian power of the tangent space at p to R. The k-form is easily remembered by noting that it is a total antisymmetric covariant tensor. For example, the differential of ...

See also:

Differential form, Differential form - Gentle introduction, Differential form - Properties of the wedge product, Differential form - Formal definition, Differential form - Integration of forms, Differential form - Operations on forms

Read more here: » Differential form: Encyclopedia II - Differential form - Formal definition

Form: Encyclopedia II - Quadratic form - The cases where the theory is equivalent to symmetric bilinear forms

Taking with a slight change of notation F(x,y) = ax2 + by2 + 2cxy it is easy to see that F can be written in terms of a vector x = (x,y) as xT·M·x in terms of a 2×2 matrix M with diagonal entries a and b, and off- ...

See also:

Quadratic form, Quadratic form - The cases where the theory is equivalent to symmetric bilinear forms, Quadratic form - Quadratic form on a module or vector space, Quadratic form - Definiteness of a quadratic form, Quadratic form - Isotropic Spaces

Read more here: » Quadratic form: Encyclopedia II - Quadratic form - The cases where the theory is equivalent to symmetric bilinear forms

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