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modules | A Wisdom Archive on modules |  | modules A selection of articles related to modules |  |
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ARTICLES RELATED TO modules |  |  |  | modules: Encyclopedia II - Modulation music - Significance of modulationIn certain classical music forms, a modulation can have structural significance. In sonata form, for example, a modulation divides the first subject from the second subject. Frequent changes of key characterize the development section of sonatas. Moving to the subdominant is a standard practice in the trio section of a march in a major key, while a minor march will move to the relative major.
Changes of key may also represent changes in mood; many composers associate certain keys with specific emotional content, but in general, major keys are cheerful or heroic, while minors are sad and somber. Moving from ...
See also:Modulation music, Modulation music - Types of modulation, Modulation music - Common chord modulation, Modulation music - Enharmonic modulation, Modulation music - Common-tone modulation, Modulation music - Chromatic modulation, Modulation music - Phrase direct abrupt modulation, Modulation music - Sequential modulation rosalia, Modulation music - Common modulations, Modulation music - Significance of modulation, Modulation music - Other types of modulation Read more here: » Modulation music: Encyclopedia II - Modulation music - Significance of modulation |
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 |  |  | modules: Encyclopedia II - Modulation music - Types of modulationThere are several different types of modulation -- (these) modulations may be prepared or unprepared, smooth or abrupt. It is smoother to modulate to more closely related keys than to keys further away. Closeness is determined by the number of notes in common between keys, which provides more possible pivot chords, and their closeness on the circle of fifths. A modulation is often completed by a cadence in the new key, which helps to establish it. Brief modulations are often considered tonicizations.
See also:Modulation music, Modulation music - Types of modulation, Modulation music - Common chord modulation, Modulation music - Enharmonic modulation, Modulation music - Common-tone modulation, Modulation music - Chromatic modulation, Modulation music - Phrase direct abrupt modulation, Modulation music - Sequential modulation rosalia, Modulation music - Common modulations, Modulation music - Significance of modulation, Modulation music - Other types of modulation Read more here: » Modulation music: Encyclopedia II - Modulation music - Types of modulation |
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 |  |  | modules: Encyclopedia II - Modulation - Digital modulation techniquesAny form of digital modulation necessarily uses a finite number of distinct signals to represent digital data.
In the case of PSK, a finite number of phases are used.
In the case of FSK, a finite number of frequencies are used.
In the case of ASK, a finite number of amplitudes are used. This is very similar to pulse code modulation
Each of these phases, frequencies or amplitudes are assigned a unique pattern of binary bits. Usually, each phase, frequency or amplitude encodes an equal number of bits. This number of bits comprises th ...
See also:Modulation, Modulation - Analog modulation techniques, Modulation - Digital modulation techniques, Modulation - Pulse modulation, Modulation - Miscellaneous techniques Read more here: » Modulation: Encyclopedia II - Modulation - Digital modulation techniques |
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 |  |  | modules: Encyclopedia II - Module mathematics - Types of modulesFinitely generated. A module M is finitely generated if there exist finitely many elements x1,...,xn in M such that every element of M is a linear combination of those elements with coefficients from the scalar ring R.
Free. A free module is a module that has a basis, or equivalently, one that is isomorphic to a direct sum of copies of the scalar ring R. These are the modules that behave very much like vector spaces.
Projective. Projective modules are direct summands of fre ...
See also:Module mathematics, Module mathematics - Motivation, Module mathematics - Definition, Module mathematics - Examples, Module mathematics - Submodules and homomorphisms, Module mathematics - Types of modules, Module mathematics - Relation to representation theory, Module mathematics - Generalizations Read more here: » Module mathematics: Encyclopedia II - Module mathematics - Types of modules |
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 |  |  | modules: Encyclopedia II - Direct sum of modules - Construction for vector spaces and abelian groupsWe give the construction first in these two cases, under the assumption that we have only two objects. Then we generalise to an arbitrary family of arbitrary modules. The key elements of the general construction are more clearly identified by considering these two cases in depth.
Direct sum of modules - Construction for two vector spaces.
Suppose V and W are vector spaces over the field K. We can turn the cartesian product V × W into a vector space over K by defin ...
See also:Direct sum of modules, Direct sum of modules - Construction for vector spaces and abelian groups, Direct sum of modules - Construction for two vector spaces, Direct sum of modules - Construction for two abelian groups, Direct sum of modules - Construction for an arbitrary family of modules, Direct sum of modules - Properties, Direct sum of modules - Internal direct sum, Direct sum of modules - Categorical interpretation, Direct sum of modules - Direct sum of modules with additional structure, Direct sum of modules - Direct sum of Banach spaces, Direct sum of modules - Direct sum of Hilbert spaces Read more here: » Direct sum of modules: Encyclopedia II - Direct sum of modules - Construction for vector spaces and abelian groups |
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 |  |  | modules: Encyclopedia II - Amplitude modulation - Modulation indexAs with other modulation indices, in AM, this quantity, also called modulation depth, indicates by how much the modulated variable varies around its 'original' level. For AM, it relates to the variations in the carrier amplitude and is defined as:
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So if h = 0.5, the carrier amplitude varies by 50% above and below its unmodulated level, and for h = 1.0 it varies by 100%. Modulation depth greater than 100% is generally to be avoided - practical transmitter systems will usually incorporate some ...
See also:Amplitude modulation, Amplitude modulation - Applications in radio, Amplitude modulation - AM vs. FM, Amplitude modulation - Forms of AM, Amplitude modulation - Example, Amplitude modulation - A more general example, Amplitude modulation - Modulation index, Amplitude modulation - Amplitude modulator designs, Amplitude modulation - Circuits, Amplitude modulation - Low level, Amplitude modulation - High level Read more here: » Amplitude modulation: Encyclopedia II - Amplitude modulation - Modulation index |
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 |  |  | modules: Encyclopedia II - Amplitude modulation - Amplitude modulator designs
Amplitude modulation - Circuits.
A wide range of different circuits have been used for AM, but one of the simplest circuits uses anode or collector modulation applied via a transformer. While it is perfectly possible to create good designs using solid-state electronics, valved (tube) circuits are shown here. In general, valves are able to easily yield RF powers far in excess of what can be achieved using solid state. Most high-power broadcast stations still use valves.
Modulation circuit designs can be broadly divided into low and high l ...
See also:Amplitude modulation, Amplitude modulation - Applications in radio, Amplitude modulation - AM vs. FM, Amplitude modulation - Forms of AM, Amplitude modulation - Example, Amplitude modulation - A more general example, Amplitude modulation - Modulation index, Amplitude modulation - Amplitude modulator designs, Amplitude modulation - Circuits, Amplitude modulation - Low level, Amplitude modulation - High level Read more here: » Amplitude modulation: Encyclopedia II - Amplitude modulation - Amplitude modulator designs |
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