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Topic: Ternary

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	Ternary - Wikipedia, the free encyclopedia
		Although ternary most often refers to a system in which the three digits, 0, 1 and 2, are all nonnegative integers, the adjective also lends its name to the balanced ternary system, useful for comparison logic.
		Ternary is inefficient for human usage, just as binary is. Therefore, nonary (base 9, each digit is two ternary digits) or base 27 (each digit is three ternary digits) is often used, similar to how octal and hexadecimal systems are used in place of binary.
		Ternary also has a unit similar to a byte, the tryte, which is six ternary digits.
	en.wikipedia.org /wiki/Ternary (873 words)

	Ternary form Information - TextSheet.com
		Ternary form is a way of structuring a piece of music.
		As well as marches, ternary form is often found in baroque opera arias (the so-called da capo aria) and in many dance forms, such as the sort of polkas written by the Strauss family.
		It is also the form used in the minuet (or scherzo) and trio, which in the classical music era was usually the third movement of symphonies, string quartets, sonatas and similar works.
	www.medbuster.com /encyclopedia/t/te/ternary_form.html (251 words)

	Ternary logic - Encyclopedia.WorldSearch (Site not responding. Last check: 2007-11-06)
		Ternary logic is a multi-valued logic in which there are three truth values indicating true, false and unknown.
		The negation operator should interchange truth and falsehood, while leaving the third value unchanged, since the negation of an unknown statement is still unknown.
		The 27 one-variable functions in ternary logic are represented in the following table.
	encyclopedia.worldsearch.com /ternary_logic.htm (304 words)

	Ternary Phase Diagrams (Site not responding. Last check: 2007-11-06)
		To construct a ternary diagram it is necessary to know the three binary systems for the three components.
		The actual ternary diagram may be represented as a three dimensional form or more commmonly as a two dimensional projection of the liquidus surface onto the base of the triangle created when the three binary diagrams are joined together.
		The fields indicated on the ternary diagram represent the primary phase fields, of solid phases in equilibrium with liquid, present on the liquidus surface.
	www.brocku.ca /earthsciences/people/gfinn/petrology/ternary1.htm (212 words)

	Ternary biography .ms (Site not responding. Last check: 2007-11-06)
		Although ternary most often refers to a system in which the three numerals, zero, one and two, are all positive integers, the adjective also lends its name to the balanced ternary system, in which case it is useful for those seeking the representation of both positive and negative numbers.
		Similarily, a currency system using balanced ternary would save visits to the bank - customers would be likely to have exact change, or be able to get a small number of coins in change, and sellers would just occasionally need to deposit a large coin or two.
		Ternary is inefficient for human usage, just as binary is. Therefore, nonary (base 9, each digit is two base-3 digits) or base 27 (each digit is 3 base-3 digits) is often used, similar to how octal and hexadecimal systems are used in place of binary.
	ternary.biography.ms (324 words)

	The Old Joel on Software Forum - Ternary Operators and Readability
		For this reason, I favor the ternary operators for simple cases, such as the one presented; it occupies far less vertical space on the screen, leaving more room for the contextual code around it.
		Ternary is a fact of life in a C syntax derived language.
		I too use the ternary op for string concatenation cases like that, though I can't help but point out that it's an internationalization nightmare waiting to happen, if such things are a consideration for the kind of projects you work on...
	discuss.fogcreek.com /joelonsoftware?cmd=show&ixPost=142517 (1838 words)

	Ternary Diagrams - Overview (Site not responding. Last check: 2007-11-06)
		Ternary Diagrams are used for a wide variety of applications in the Earth Sciences, including illustrating rock classification schemes and depicting chemical compositions on certain types of phase diagrams.
		Ternary diagrams are used to represent the relative percentage of three components.
		This is a ternary diagram, where any point represents the relative percentage of three components, A, B and C. Notice there are no numbers on the axes.
	www.eos.ubc.ca /courses/eosc221/ternary/ternary.html (269 words)

	.NET Undocumented: Ternary Systems
		Ternary values consist of the values 1,0,-1 which correspond respectively to the quasi-boolean values—true, unknown, false.
		However, ternary values can yet be represented as an even more general value in fuzzy logic with states corresponding to the inclusive range of real numbers between 0 and 1.
		If somehow our past were able to use a ternary system to encode information, a system yet to come in our future, could the of the encoding of the Torah been done using this approach.
	wesnerm.blogs.com /net_undocumented/2005/06/ternary_systems.html (470 words)

	[No title]
		A ternary plot can be used to examine relations between four or more dimensions where three of those dimensions represent components of a mixture (i.e., the relations between them is constrained such that the values of the three variables add up to the same constant).
		The responses associated with the proportions of the component variables (X, Y, and Z) in a ternary graph are plotted in a 3-dimensional display for each level of the grouping variable (or user-defined subset of data).
		In this type of ternary graph, the 3-dimensional surface (fitted to a four-coordinate data set) is projected onto a 2-dimensional plane as an area contour.
	sunsite.univie.ac.at /textbooks/statistics/glost.html (1524 words)

	Ternary (Site not responding. Last check: 2007-11-06)
		Ternary digits are known as trits, analogous to bit.
		Although ternary most often refers to a system in which the three numerals, zero, one and two, are all positive integers, the adjective also leads its name to the balanced ternary system, in which case it is useful for those seeking the representation of both positive and negative numbers.
		Ternary is inefficient for human usage, just as binary is. Therefore, novenary (base 9, each digit is two base-3 digits) or base 27 (each digit is 3 base-3 digits) is often used, similar to how octal and hexadecimal systems are used in place of binary.
	www.theezine.net /t/ternary.html (257 words)

	Chemical Sciences: Nomenclature: Ternary Inorganic Compounds
		The basic premises of the systematic I.U.P.A.C. nomenclature of ternary compounds are similar to the ones for binary compounds.
		The I.U.P.A.C. method for naming ternary compounds is to take a binary-type name using two elements, alter the ending to -ate to designate it as a non-binary compound, and then specify the number and type of added atoms as a prefix to the name or names of the element(s) to which they are attached.
		Virtually all of the common ternary compounds have oxygen as one of their components, because we live in an atmosphere containing the reactive element oxygen.
	www.psigate.ac.uk /newsite/reference/plambeck/chem1/p01029.htm (1044 words)

	Ternary Alloys
		The self chosen scope of this work is to provide a reliable basis of phase diagram data on "metallic" ternary systems, such as that there is no more need for multiple retrospective searches and evaluations of the same systems again and again by the material scientists individually.
		To critically evaluate the estimated 50.000 publications on ternary phase diagrams is a truly international challenge and the evaluation program always has been understood this way.
		The representation of the equilibria of ternary systems as a function of temperature results in spacial diagrams whose sections and projections are generally published in the literature.
	www.msiwp.com /products/ta (465 words)

	The PHP Ternary Operator - PHP
		Like the PHP if and switch statements, the ternary operator (?) allows your program to ask questions and perform tasks based on the answer to those questions.
		The PHP ternary operator looks like a question mark (?) and the code has three parts.
		The test expression is placed on the left side of the ? ternary operator.
	www.bellaonline.com /ArticlesP/art20773.asp (276 words)

	The Logic of More: Ternary Logic in Ripple Adders and Scramblers. (Site not responding. Last check: 2007-11-06)
		The approach we will use is to take a composite expression (for the ripple adder), consider all possible input and output values and compare the equivalent expressions that create the same output under condition of the same inputs.
		That means 16 functions for binary logic, close to 20,000 functions for ternary logic and a whopping 4 billion functions for 4-value logic.
		The purpose of this article is to find ternary expressions that will provide equivalent designs and that may affect the speed (or propagation time) and size of digital solutions in ternary logic.
	home.att.net /~lablans (1362 words)

	Ternary Phase Diagrams (Site not responding. Last check: 2007-11-06)
		Ternary diagrams which do not exhibit solid solution effects will contain at least one ternary eutectic, i.e.
		Ternary systems which contain an incongruently melting compound will contain at least one ternary peritectic.
		Ternary systems which exhibit complete solid solution effects will not contain a ternary eutectic within the triangular area representing the system.
	www.brocku.ca /earthsciences/people/gfinn/petrology/ternary5.htm (268 words)

	Ternary Plot 4.0 - ternary diagrams
		Ternary Plot is an analytical and plotting application that normalizes and plots three values on a triangular diagram and 3 bivariate cross-plots.
		Ternary Plot 4.0 does not have a data entry module.
		With edit fields de-activated, the copy command will copy the ternary plot chart to the clipboard as a PICT graphic and the paste command will plot values contained in the clipboard as a new data set.
	www.pazsoftware.com /Ternary4.html (1091 words)

	Electronic News: Ternary DRAM CAM: Now and the Future - Ternary Content Addressable Memories - Industry Trend or Event (Site not responding. Last check: 2007-11-06)
		Ternary CAMs can store 1,0, and X (don't care values) and are ideally suited to accelerate the table lookup function performed in today's networking applications.
		Ternary CAMs are typically targeted at data communications applications such as carrier class edge and enterprise routers, core Internet Gigabit and Terabit routers, SONET systems, and asynchronous transfer mode switching equipment.
		DRAM Ternary CAMs use a 6T cell that uses less area and scales better than the 16T SRAM CAM cell for the implementation of the large and wide Ternary CAMs of the future.
	www.findarticles.com /p/articles/mi_m0EKF/is_18_46/ai_61949685 (742 words)

	Ternary Relationships (Site not responding. Last check: 2007-11-06)
		This is because we believe that a ternary relationship can be better modeled using a Weak Entity as we discuss below.
		The relationship “book_loans” is a ternary relationship between the three entities, and clearly must be a table, with its primary key made up of the primary keys from the 3 entities to which it is related.
		As you can see, Database Design Studio can model a ternary relationship by breaking it down to binary relationships and using a weak entity and “PE to WE” relationships.
	www.chillisource.com /dds/tutorial/TutorialTernary_Relationships.htm (216 words)

	Matthew Grantz - Balanced Ternary (Site not responding. Last check: 2007-11-06)
		From a computer science perspective, this is an observation that a ternary tree is, in one sense, the "optimal" compromise between the height and width of a search tree.
		The lowest number of pieces of currency you must have is achieved when you are using BT and both you and your partner have one of each kind of currency.
		Ternary is also useful in solving other math problems.
	www.grantz.net /~matthew/curio/bternary.html (2313 words)

	LWN: Choosing a ternary operator for Python
		The ternary operator is a compact representation of a common operation (choosing between two values), and it is a heavily-used feature in languages which provide it.
		Python does not provide a ternary operator, much to the chagrin a subset of hackers who are otherwise very happy with the language.
		To say that the discussion was active would be a substantial understatement; thousands of messages were posted discussing the merits of ternary operators, whether Python should have one, and what form it should take.
	lwn.net /Articles/25302 (978 words)

	Planar Ternary Rings
		In order to show that F is a ternary operation, we must show that it is well defined.
		But the ternary operation of a Planar Ternary Ring has some similarities to the more familiar binary operations that we are used to.
		Secondly, if it were possible to enumerate all the non-isomorphic planar ternary rings of a given order, then we have also determined a set of projective planes.
	www-math.cudenver.edu /~wcherowi/courses/m6221/fall01/ptr.htm (1606 words)

	Elk-1 can recruit SRF to form a ternary complex upon the serum response element -- Latinkic et al. 24 (7): 1345 -- ...
		One of the primary cellular responses to the actions of polypeptide growth factors is the rapid and transient activation of a set of immediate-early genes, which number as many as 100 in mouse 3T3 fibroblasts (1 - 3).
		Recent studies on the transcriptional activation of immediate-early genes have focused on the importance of a ternary complex, comprised of SRF and TCF bound to SRE, as the integral part of the serum-responsive transcriptional apparatus (16).
		Since the importance of the ternary complex was first recognized in c- fos, where SRF binds strongly to and TCF is recruited by SRF (35), TCF has been regarded as an `accessory protein' subservient to SRF (36).
	nar.oxfordjournals.org /cgi/content/full/24/7/1345 (4746 words)

	Ternary mirror-symmetrical representation
		Like the ternary symmetrical number system the important advantage of the number system (8) is a possibility to represent both positive and negative numbers in the "direct" code.
		The code of the negative number (-N) is got from the ternary "golden" representation of the initial number N by means of application of the rule of the "ternary inversion":
		First of all this number system is the ternary symmetrical number system with the ternary numerals {1, 0 and -1}.
	www.goldenmuseum.com /1406Mirror_engl.html (712 words)

	Logic - Open Encyclopedia (Site not responding. Last check: 2007-11-06)
		The logics discussed above are all "bivalent" or "two-valued"; that is, the semantics for each of these languages will assign to every sentence either the value "True" or the value "False." Systems which do not always make this distinction are known as non-classical logics or non-Aristotelian logics.
		In the early 20th century Jan Łukasiewicz investigated the extension of the traditional true/false values to include a third value, "possible", so inventing ternary logic, the first multi-valued logic.
		Brouwer as the correct logic for reasoning about mathematics, based upon his rejection of the law of the excluded middle as part of his intuitionism.
	open-encyclopedia.com /Logic (2307 words)

	Ternary (Site not responding. Last check: 2007-11-06)
		Although ternary most often refers to a system in which the three numerals,, and, are all positive integers, the adjective also lends its name to the balanced ternary system, useful for comparison logic.
		A number system called balanced ternary uses digits with the values -1, 0, and 1.
		Ternary also has the equivalent of a byte, called a tryte.
	www.worldhistory.com /wiki/T/Ternary.htm (451 words)

	TERNARY - Definition
		Proceeding by threes; consisting of three; as, the ternary number was anciently esteemed a symbol of perfection, and held in great veneration.
		(Chem.) Containing, or consisting of, three different parts, as elements, atoms, groups, or radicals, which are regarded as having different functions or relations in the molecule; thus, sodic hydroxide, {NaOH}, is a ternary compound.
		Some in ternaries, some in pairs, and some single.
	www.hyperdictionary.com /dictionary/ternary (189 words)

	Creating Ternary Diagrams in Particle-Phase (Site not responding. Last check: 2007-11-06)
		The purpose of a ternary diagram is to plot the chemical concentration of three or more elements in a particle on a single graph.
		Data threshold is the minimum concentration of each element that is to be included as a point on the ternary diagram.
		From the screen capture dialogue box, the ternary diagram can also be copied to the clipboard and pasted into a report.
	www.edax.com /support/user_tips/ternary.html (472 words)

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