Cantor himself only mentioned the ternary construction in passing, as an example of a more general idea, that of a perfect set that is nowhere dense.

Science fiction has often featured planets of binary or ternary stars as a setting, for example George Lucas ' Tatooine from Star Wars, and one notable story, Nightfall, even takes this to a six-star system.

For example, decimal 365 corresponds to binary 101101101 ( 9 digits ) and to ternary 111112 ( 6 digits ).

This example is also unusual in being written in orthodox sonata form rather than the usual ternary form for such a movement, and thus it lacks a Trio section.

Rounded binary is not to be confused with ternary form, also labeled ABA — the difference being that, in ternary form, the B section contrasts completely with the A material as in, for example, a minuet and trio.

A distinction is sometimes made between " compound ternary form " – in which each large part of the form is itself divided in a way to suggest ternary or binary form ( giving, for example, an overall scheme of – and " simple ternary form ", in which each large part of the form has no particular structure itself.

For example, a ternary CAM might have a stored word of " 10XX0 " which will match any of the four search words " 10000 ", " 10010 ", " 10100 ", or " 10110 ".

An example of a ternary operation is the product in a heap.

C, for example, has a ternary infix operator "< tt >?:</ tt >".

For example, when inserting into a ternary tree, a pre-order operation is performed by comparing items.

It can be used in signed-digit representation to represent negative digits, such as the following example in balanced ternary:

Another example of a ternary compound is calcium carbonate ( CaCO < sub > 3 </ sub >).

A notable example is balanced ternary, where the base is, and the numerals have the values − 1, 0 and + 1 ( rather than 0, 1, and 2 as in the standard ternary numeral system ).

For example, a kopanitsa dance rhythm may be described as slow-slow-quick-quick, whereas the tune may be played in what may be written as ( 2 + 2 )+( 2 + 1 )+( 2 + 2 ), i. e., an 11 time with primary accent at 1, secondary accents at 5 and 8, and ternary accents at 3, 7, and 10 ; the dancers thus dance to a meter composition 4 + 3 + 2 + 2, which may also be played by the musicians, e. g., in Traichovo horo ( Трайчово хоро ).

image: ternary. example. 1. svg | Figure 3-An example ternary diagram, without any points plotted.

image: ternary. example. axis. 1. jpg | Figure 4-An example ternary diagram, showing increments along the first axis.

The divisibility order of the natural numbers is another example of an antisymmetric relation.

An example is the " divides " relation between the set of prime numbers P and the set of integers Z, in which every prime p is associated with every integer z that is a multiple of p ( and not with any integer that is not a multiple of p ).

For example, George Livingstone Robinson's dissertation on chapters 9-14 concluded that those chapters had their origin in the period between 518 and 516 BCE and stand in close relation to chapters 1-8, having most probably been composed by Zechariah himself.

According to Arika Okrent, Bliss used to complain about the way the teachers at the OCCC were using the symbols, in relation with the proportions of the symbols and other questions: for example, they used “ fancy ” terms like “ nouns ” and “ verbs ”, to describe what Bliss called “ things ” and “ actions ”.

For example, it might study what constitutes upbringing and education, the values and norms revealed through upbringing and educational practices, the limits and legitimization of education as an academic discipline, and the relation between education theory and practice.

However, if the approximation is defined asymptotically, for example by saying that two functions f and g are approximately equal near some point if the limit of f-g is 0 at that point, then this defines an equivalence relation.

For example, an equivalence relation with exactly two infinite equivalence classes is an easy example of a theory which is ω-categorical, but not categorical for any larger cardinal number.

For example, the dynamic history of the planetary atmosphere's CO < sub > 2 </ sub > and O < sub > 2 </ sub > composition has been affected by the biogenic flux of gases coming from respiration and photosynthesis, with levels fluctuating over time in relation to the ecology and evolution of plants and animals.

Marxist interpretations of the term have, for example, been applied in relation to Cuba under Fidel Castro and Vietnam under Ho Chi Minh.

The code also regulates the content of franchise agreements, for example in relation to marketing funds, a cooling-off period, termination, and the resolution of disputes by mediation.

The title Son of David identifies Jesus as the healing and miracle-working Messiah of Israel ( it is used exclusively in relation to miracles, and the Jewish messiah is sent to Israel alone ); as Son of Man he will return to judge the world ( a fact his disciples recognise but of which his enemies are unaware ); and as Son of God he has a unique relationship with God, God revealing himself through his son, and Jesus proving his sonship through his obedience and example.

Grimm says that Hel is an example of a " half-goddess ;" " one who cannot be shown to be either wife or daughter of a god, and who stands in a dependent relation to higher divinities " and that " half-goddesses " stand higher than " half-gods " in Germanic mythology.

In relation to some indictable offences, for example criminal damage, only summary trial is available unless the damage caused exceeds £ 5, 000.

For example " This ' a ' is ' b '" ( e. g. " This ' object a ' is ' red '") really means "' object a ' is a sense-datum " and "' red ' is a sense-datum ", and they " stand in relation " to one another and in relation to " I ".

The logistic map is a polynomial mapping ( equivalently, recurrence relation ) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.

The harmonic mean is an average which is useful for sets of numbers which are defined in relation to some unit, for example speed ( distance per unit of time ).

The variable k giving the number of " places " in the relation, 3 for the above example, is a non-negative integer ( zero, one, two, ...), called the relation's arity, adicity, or dimension.

In this section we introduce the concept of a relation with a familiar everyday example.

Mendel concluded that different traits are inherited independently of each other, so that there is no relation, for example, between a cat's color and tail length.

For example, the axiom AC < sub > 11 </ sub > can be paraphrased to say that for any relation R on the set of real numbers, if you have proved that for each real number x there is a real number y such that R ( x, y ) holds, then there is actually a function F such that R ( x, F ( x )) holds for all real numbers.

For example, Petrarch struggled with the proper relation between the active and contemplative life, and tended to emphasize the importance of solitude and study.

For example, where a person has committed harmful actions of body, speech and mind based on greed, hatred and delusion, rebirth in a lower realm, i. e. an animal, a ghost or a hell realm, is to be expected.

For example, the giant elliptical galaxy M87 has an absolute magnitude of − 22 ( i. e. as bright as about 60, 000 stars of magnitude − 10 ).

For example, an array of 10 integer variables, with indices 0 through 9, may be stored as 10 words at memory addresses 2000, 2004, 2008, … 2036, so that the element with index i has the address 2000 + 4 × i.

For example, an " anti-realist " who denies that other minds exist ( i. e., a solipsist ) is quite different from an " anti-realist " who claims that there is no fact of the matter as to whether or not there are unobservable other minds ( i. e., a logical behaviorist ).

They have multiple off-label uses as an augmentation agent ( i. e. in addition to another medication ), for example in " treatment-resistant " depression or OCD.

This chart shows that not all fish, shellfish, or the insects that they eat can tolerate the same amount of acid ; for example, frogs can tolerate water that is more acidic ( i. e., has a lower pH ) than trout.

Kenneth Kitchen, Louis F. Hartman and Alexander Di Lella, for example, date the Aramaic portion more broadly within the Persian period ( i. e., before the 330s BC ), as based on Persian loanwords.

In environmental modeling and especially in hydrology, a " behavioral model " means a model that is acceptably consistent with observed natural processes, i. e., that simulates well, for example, observed river discharge.

For example, most areas of law in most Anglo-American jurisdictions include " statutory law " enacted by a legislature, " regulatory law " promulgated by executive branch agencies pursuant to delegation of rule-making authority from the legislature, and common law or " case law ", i. e., decisions issued by courts ( or quasi-judicial tribunals within agencies ).

The prefrontal cortex is not the only candidate area, however: studies by Nikos Logothetis and his colleagues have shown, for example, that visually responsive neurons in parts of the temporal lobe reflect the visual perception in the situation when conflicting visual images are presented to different eyes ( i. e., bistable percepts during binocular rivalry ).

For example, a ( strict ) 2-category is a category together with " morphisms between morphisms ", i. e., processes which allow us to transform one morphism into another.

For example, if function div stands for the division operation x / y, then div with the parameter x fixed at 1 ( i. e., div 1 ) is another function: the same as the function inv that returns the multiplicative inverse of its argument, defined by inv ( y )

The term " memory " is often ( but not always ) associated with addressable semiconductor memory, i. e. integrated circuits consisting of silicon-based transistors, used for example as primary memory but also other purposes in computers and other digital electronic devices.

They view their divine purpose as being ideally a " light upon the nations " and a " holy people " ( i. e., a people who live their lives fully in accordance with Divine will as an example to others ), not " the one path to God ".

For example, while in a conversion to Judaism a convert must accept basic Jewish principles of faith, and renounce all other religions, the process is more like a form of adoption, or changing national citizenship ( i. e. becoming a formal member of the people, or tribe ), with the convert becoming a " child of Abraham and Sarah.

The code has been seen as an early example of a fundamental law regulating a government — i. e., a primitive form of what is now known as a constitution.

For example, in a scientific experiment of clairvoyance, a purported clairvoyant participant will inevitably make correct guesses some of the time ( i. e., during some of the trials within the same experiment ), simply because of chance.

( i ) a forest scarcity path, where forest scarcity triggers forces ( for example, higher prices of forest products ) that lead to forest cover stabilization ; and

For example in ruïne it means that the u and the i are separately pronounced in their usual way, and not in the way that the combination ui is normally pronounced.

The values may be numbers, such as real numbers or integers, for example representing a person's height in centimeters, but may also be nominal data ( i. e., not consisting of numerical values ), for example representing a person's ethnicity.

For example, familio " family " is, with the stress on the second i, but when the word is used without the final o ( famili ’), the stress remains on the second i:.