query: a b a c a b a is an example of which form from the classic period

pos: Rondo the other hand, is an instrumental musical form developed typically as of the 17th century. In rondo form, a principal theme (sometimes called the "refrain") alternates with one or more contrasting themes, generally called "episodes", but also occasionally referred to as "digressions" or "couplets". Possible patterns in the Classical period include: ABA, ABACA, or ABACABA. These are sometimes designated "first rondo", "second rondo", and "third rondo", respectively. The first rondo is distinguished from the three-part song form principally by the fact that at least one of the themes is a song form in itself, but the difference in melodic and

neg: Weeping Willow (rag) Weeping Willow (rag) "Weeping Willow" is a 1903 classic piano ragtime composition by Scott Joplin. It was one of Joplin's simpler and less famous ragtime scores, written during a transitional period in his life, and one of the few pieces that Joplin cut as a piano roll in a 1916 session. "Weeping Willow" is sub-titled "A rag time two step", which was a form of dance popular until about 1911, and a common style among rags written at the time. Its structure is: Intro A A B B A C C D D The A and B sections are in

neg: Natural deduction following fact: In logic, one says ""assuming A ∧ (B ∧ C) is true, we show that B is true""; in other words, the judgment ""B" true" depends on the assumed judgment ""A ∧ (B ∧ C)" true". This is a "hypothetical derivation", which we write as follows: The interpretation is: ""B true" is derivable from "A ∧ (B ∧ C) true"". Of course, in this specific example we actually know the derivation of ""B" true" from ""A ∧ (B ∧ C)" true", but in general we may not "a priori" know the derivation. The general form of a hypothetical

neg: Canonical normal form the input variables. For example, minterm 5, "a" "b"<nowiki>'</nowiki> "c", is true only when "a" and "c" both are true and "b" is false—the input arrangement where "a" = 1, "b" = 0, "c" = 1 results in 1. Given the truth table of a logical function, it is possible to write the function as a "sum of products". This is a special form of disjunctive normal form. For example, if given the truth table for the arithmetic sum bit "u" of one bit position's logic of an adder circuit, as a function of "x" and "y" from the addends

neg: Reversible reaction Reversible reaction A reversible reaction is a reaction where the reactants form products, which react together to give the reactants back. A and B can react to form C and D or, in the reverse reaction, C and D can react to form A and B. This is distinct from reversible process in thermodynamics. Weak acids and bases undertake reversible reactions. For example, carbonic acid: HCO + HO ⇌ HCO + HO. The concentrations of reactants and products in an equilibrium mixture are determined by the analytical concentrations of the reagents (A and B or C and D) and the

neg: Seventh (chord) add altered chord tones (e.g., b9, #9, #11, b13) and added tones. An example of an altered dominant chord in the key of C, built on a G would be to voice the chord as "B-C#-E-F-Ab"; this would be G7 (b9,#11). The seventh note of a chord is most commonly a minor seventh (in C, B or major seventh interval (in C, B). Less often, the seventh note of a chord is diminished or augmented (B=A (enharmonic notes) or B=C (also enharmonic notes). In the common practice period the "strict resolution" the chord's seventh degree is stepwise downward. For example,

neg: Third man argument used. Plato, in the "Parmenides", uses the example "greatness" (μέγεθος) for "F-ness"; Aristotle uses the example "man". However, the TMA shows that these principles are mutually contradictory, as long as there is a plurality of things that are F: Begin, then, with the assumption that there is a plurality of great things, say (A, B, C). By one-over-many, there is a form of greatness (say, G1) by virtue of partaking of which A, B, and C are great. By self-predication, G1 is great. But then we can add G1 to (A, B, C) to form a new plurality of great

neg: Negative conclusion from affirmative premises a valid syllogism with a negative conclusion. (A syllogism with two negative premises commits the related fallacy of exclusive premises.) Example (invalid aae form): The aao-4 form is perhaps more subtle as it follows many of the rules governing valid syllogisms, except it reaches a negative conclusion from affirmative premises. Invalid aao-4 form: This is valid only if A is a proper subset of B and/or B is a proper subset of C. However, this argument reaches a faulty conclusion if A, B, and C are equivalent. In the case that A = B = C, the conclusion of the

neg: Chain rhyme Chain rhyme Chain rhyme is the linking together of stanzas by carrying a rhyme over from one stanza to the next. A number of verse forms use chain rhyme as an integral part of their structures. One example is terza rima, which is written in tercets with a rhyming pattern a-b-a, b-c-b, c-d-c. Another is the virelai ancien, which rhymes a-a-b-a-a-b, b-b-c-b-b-c, c-c-d-c-c-d. Other verse forms may also use chain rhyme. For instance, quatrains can be written to the following pattern: a-a-b-a, b-b-c-b, c-c-d-c. There are a few well-known examples of chain rhyme in world literature. In the Persian language,

neg: Issues affecting the single transferable vote candidate. All party A voters prefer party B to party C. All party C voters prefer party B to party A. All party B voters prefer party C to party A. The following 1000 votes are cast: The quota is 250. C2 is eliminated first and candidates A1, B and C1 are elected. If party C distributes its vote equally between its two candidates for example: B is eliminated first and candidates A1, C1 and C2 are elected. By equalizing the distribution of its vote party C wins an additional seat. Evidence from Ireland indicates that this form of vote

neg: Period mapping a class ω in such that for every "b", the restriction ω of ω to "X" is a Kähler class. ω determines a bilinear form "Q" on "H"("X", C) by the rule This form varies holomorphically in "b", and consequently the image of the period mapping satisfies additional constraints which again come from the Hodge–Riemann bilinear relations. These are: The polarized local period domain is the subset of the unpolarized local period domain whose flags satisfy these additional conditions. The first condition is a closed condition, and the second is an open condition, and consequently the polarized local period domain

neg: Kroncong B – A – C (16 bars): The structure is Prelude – A – Interlude – B – C (16 bars): After World War I, American popular music came to Indonesia through ballroom music in hotels. Most of the musicians came from the Philippines. The 32-bar American songs influenced local music; for example Gesang Martohartono composed the song "Bengawan Solo" during this period. After a while, the center of development moved to Surakarta in Central Java. The kroncong there is slower (typically 80 beats per minute). This structure has a binary form, like a pop song: Verse A – Verse

neg: ABAP 'B' INTO FIRSTNAME. REPLACE 'A' WITH 'B' INTO CITYNAME. could be rewritten in chained form as: REPLACE 'A' WITH 'B' INTO: LASTNAME, FIRSTNAME, CITYNAME. ABAP has 2 ways of defining text as a comment: Example: REPORT BOOKINGS. SELECT * FROM FLIGHTINFO Code in ABAP is whitespace-sensitive. x = a+b(c). assigns to variable x the substring of the variable a, starting from b with the length defined by the variable c. x = a + b( c ). assigns to variable x the sum of the variable a and the result of the call to method b with the parameter c.

neg: Ternary relation triples of points, where a triple is in the relation if the three points are collinear. Another geometric example can be obtained by considering triples consisting of two points and a line, where a triple is in the ternary relation if the two points determine (are incident with) the line. A function in two variables, mapping two values from sets "A" and "B", respectively, to a value in "C" associates to every pair ("a","b") in an element "ƒ"("a", "b") in "C". Therefore, its graph consists of pairs of the form . Such pairs in which the first element is itself

neg: Minuet form : After these developments by Lully, composers occasionally inserted a modified repetition of the first (A) section or a section that contrasted with both the A section and what was thereby rendered the third or C section, yielding the form A–A′–B–A or A–B–C–A, respectively; an example of the latter is the third movement of Mozart's Serenade No. 13 in G major, K. 525, popularly known under the title "Eine kleine Nachtmusik". A livelier form of the minuet simultaneously developed into the scherzo (which was generally also coupled with a trio). This term came into existence approximately from Beethoven onwards,

neg: HD 5980 same radial velocity variations. Component C is a distant hydrogen-rich star identified from narrow absorption lines which do not show the same strong radial velocity variations as the broad emission lines from the A/B pair. Higher resolution spectra show smaller slower radial velocity variations and it is assumed that C itself also has a companion. The primary is a hot conventional star, most likely an early O-type supergiant. A period of 96.5 days has been derived from the radial velocity variations. This is five times the period of the A/B system, suggesting the four stars form a gravitational trapezium system

neg: Morse theory R to R, "f" has a critical point at the origin if "b" = 0, which is non-degenerate if "c" ≠ 0 (i.e. "f" is of the form "a" + "cx" + ...) and degenerate if "c" = 0 (i.e. "f" is of the form "a" + "dx" + ...). A less trivial example of a degenerate critical point is the origin of the monkey saddle. The index of a non-degenerate critical point "b" of "f" is the dimension of the largest subspace of the tangent space to "M" at "b" on which the Hessian is negative definite. This corresponds

neg: Emmy Noether to which different types of geometry should be characterized by their invariants under transformations, e.g., the cross-ratio of projective geometry. An example of an "invariant" is the discriminant "B" − 4 "A C" of a binary quadratic form x·A x + y·B x + y·C y , where x and y are vectors and "·" is the dot product or "inner product" for the vectors. A, B, and C are linear operators on the vectors – typically matrices. The discriminant is called "invariant" because it is not changed by linear substitutions x → "a" x + "b" y, "y" →

neg: Regular map (graph theory) square tiling, {4,4}. {3,6} are related to the triangular tiling, {3,6}, and {6,3} related to the hexagonal tiling, {6,3}. "b" and "c" are whole numbers. There are 2 special cases {"b",0) and ("b","b") with reflective symmetry, while the general cases exist in chiral pairs ("b","c") and ("c","b"). Regular maps of the form {4,4} can be represented as the finite regular skew polyhedron {4,4 | "m"}, seen as the square faces of a "m"×"m" duoprism in 4-dimensions. Here's an example {4,4} mapped from a plane as a chessboard to a cylinder section to a torus. The projection from a cylinder to

neg: Canonical normal form formula_19 and 1 to the complemented form formula_20. For example, we assign the index 6 to the maxterm formula_21 (110) and denote that maxterm as "M". Similarly "M" of these three variables is formula_22 (000) and "M" is formula_23 (111). It is apparent that maxterm "n" gives a "false" value (i.e., 0) for just one combination of the input variables. For example, maxterm 5, "a"′ + "b" + "c"′, is false only when "a" and "c" both are true and "b" is false—the input arrangement where a = 1, b = 0, c = 1 results in 0. If one

neg: Inversion (music) must be inverted around is said to be the axis of symmetry (or center). An axis may either be at a specific pitch or halfway between two pitches (assuming that microtones are not used). For example, the set C–E–E–F–G–B has an axis at F, and an axis, a tritone away, at B if the set is listed as F–G–B–C–E–E. As another example, the set C–E–F–F–G–B has an axis at the dyad F/F and an axis at B/C if it is listed as F–G–B–C–E–F. In jazz theory, a pitch axis is the center around which a melody is inverted. The "pitch

neg: Intersection (set theory) "B" if and only if "x" is both an element of "A" and an element of "B". For example: Intersection is an associative operation; that is, for any sets "A", "B", and "C", one has "A" ∩ ("B" ∩ "C") = ("A" ∩ "B") ∩ "C". Intersection is also commutative; for any "A" and "B", one has "A" ∩ "B" = "B" ∩ "A." It thus makes sense to talk about intersections of multiple sets. The intersection of "A", "B", "C", and "D", for example, is unambiguously written "A" ∩ "B" ∩ "C" ∩ "D". Inside a universe "U" one

neg: Square root of a matrix Conversely, it is trivially true that every operator of the form "B* B" is non-negative. Therefore, an operator "T" is non-negative if and only if "T" = "B* B" for some "B" (equivalently, "T" = "CC*" for some "C"). The Cholesky factorization provides another particular example of square root, which should not be confused with the unique non-negative square root. If "T" is a non-negative operator on a finite-dimensional Hilbert space, then all square roots of "T" are related by unitary transformations. More precisely, if "T" = "A*A" = "B*B", then there exists a unitary "U" such that "A" =

neg: Corner reflector considered to form a basis (a rectangular coordinate system) ("x", "y", "z") in which to represent the direction of an arbitrary incoming ray, ["a", "b", "c"]. When the ray reflects from the first side, say "x", the ray's "x" component, "a", is reversed to −"a" while the "y" and "z" components are unchanged, resulting in a direction of [−"a", "b", "c"]. Similarly, when reflected from side "y" and finally from side "z", the "b" and "c" components are reversed. Therefore, the ray direction goes from ["a", "b", "c"] to [−"a", "b", "c"] to [−"a", −"b", "c"] to [−"a", −"b", −"c"],

neg: Content centric networking example, an Interest for /a/b would match a Content Object named /a/b/c/d or /a/b. Interests include restrictions in the form of selectors. These help the network select which of the possible prefix matches are an actual match. For example, an Interest might exclude certain names, ask for a minimum or maximum number of extra name segments, etc. Content Objects have an implicit final name component that is equal to the hash of the Content Object. This may be used for matching to a name. Packet encoding is done using ccnb (a proprietary format based on a type of binary XML).

neg: Boolean algebra a smaller example, if "X" = {"a,b,c"} where "a, b, c" are viewed as bit positions in that order from left to right, the eight subsets {}, {"c"}, {"b"}, {"b","c"}, {"a"}, {"a","c"}, {"a","b"}, and {"a","b","c"} of "X" can be identified with the respective bit vectors 000, 001, 010, 011, 100, 101, 110, and 111. Bit vectors indexed by the set of natural numbers are infinite sequences of bits, while those indexed by the reals in the unit interval [0,1] are packed too densely to be able to write conventionally but nonetheless form well-defined indexed families (imagine coloring every point of

neg: Major third octave. For example, three 5:4 major thirds from C is B (C to E to G to B). The difference between this just-tuned B and C, like that between G and A, is called a diesis, about 41 cents. The major third is classed as an imperfect consonance and is considered one of the most consonant intervals after the unison, octave, perfect fifth, and perfect fourth. In the common practice period, thirds were considered interesting and dynamic consonances along with their inverses the sixths, but in medieval times they were considered dissonances unusable in a stable final sonority. A diminished

neg: Triangle center has the same triangle center as the original, and also the stronger property that "f"("ta","tb","tc") = "f"("a","b","c") for all "t" > 0 and all ("a","b","c"). Together with the zero function, normalized triangle center functions form an algebra under addition, subtraction, and multiplication. This gives an easy way to create new triangle centers. However distinct normalized triangle center functions will often define the same triangle center, for example "f" and ("abc")("a"+"b"+"c")"f" . Assume "a","b","c" are real variables and let α,β,γ be any three real constants. Then "f" is a triangle center function and α : β : γ is the corresponding

neg: Boolean satisfiability problem to define the notion of a "generalized conjunctive normal form" formula, viz. as a conjunction of arbitrarily many "generalized clauses", the latter being of the form for some boolean operator "R" and (ordinary) literals . Different sets of allowed boolean operators lead to different problem versions.As an example, "R"(¬"x","a","b") is a generalized clause, and "R"(¬"x","a","b") ∧ "R"("b","y","c") ∧ "R"("c","d",¬"z") is a generalized conjunctive normal form. This formula is used below, with "R" being the ternary operator that is TRUE just when exactly one of its arguments is. Using the laws of Boolean algebra, every propositional logic formula can be transformed

neg: Nu1 Sagittarii an amplitude of 0.0078 magnitude. In 1982 it was found to have a hotter companion, Nu¹ Sagittarii B, a rapidly rotating B9 type star. The pair orbit with a period of around 370 days. A magnitude +11.2 companion, component C, is orbiting further out at an angular separation of 2.5 arcseconds from the primary. Nu1 Sagittarii Nu¹ Sagittarii (ν¹ Sagittarii, abbreviated Nu¹ Sgr, ν¹ Sgr) is a triple star system lying approximately 1,100 light-years from Earth. Its three components are designated Nu¹ Sagittarii A (also named Ainalrami), B and C. A and B themselves form a spectroscopic binary. "ν¹ Sagittarii"

neg: Multiply-with-carry pseudorandom number generator reduce the generator's period. Because 2 is a quadratic residue of numbers of the form 8"k"±1, "b" = 2 cannot be a primitive root of "p = ab" − 1. Therefore MWC generators with base 2 have their parameters chosen so their period is (ab−1)/2. This is one of the difficulties that use of "b" = 2 − 1 overcomes. The basic form of an MWC generator has parameters "a", "b" and "r", and "r"+1 words of state. The state consists of "r" residues modulo "b" and a carry "c" < "a". The initial state ("seed") values are arbitrary, except

neg: Neuroevolution of augmenting topologies The competing conventions problem arises when there is more than one way of representing information in a phenotype. For example, if a genome contains neurons A, B and C and is represented by [A B C], if this genome is crossed with an identical genome (in terms of functionality) but ordered [C B A] crossover will yield children that are missing information ([A B A] or [C B C]), in fact 1/3 of the information has been lost in this example. NEAT solves this problem by tracking the history of genes by the use of a global innovation number which

neg: Hironaka's example → "A"; for example in characteristic not 2 one could take "A" and "B" to be the affine line minus the origin with the map from "B" to "A" given by "x" → "x". Think of "B" as an open covering of "U" for the étale topology. If "V" is a complete scheme with a fixed point free action of a group of order 2, then descent data for the map "V" × "B" → "B" are given by a suitable isomorphism from "V"×"C" to itself, where "C" = "B"×"B" = "B" × Z/2Z. Such an isomorphism is given by

neg: Frobenius inner product is very similar to the dot product, which in turn is an example of an inner product. It is a sesquilinear form, for four complex-valued matrices A, B, C, D, and two complex numbers "a" and "b": Also, exchanging the matrices amounts to complex conjugation: For the same matrix, For two real-valued matrices, if then For two complex-valued matrices, if then the complex conjugates (without transpose) are and while The Frobenius inner products of A with itself, and B with itself, are respectively The inner product induces the Frobenius norm If A and B are each real-valued matrices, the Frobenius

neg: Indeterminate equation Indeterminate equation An indeterminate equation, in mathematics, is an equation for which there is more than one solution; for example, 2"x" = "y" is a simple indeterminate equation, as are a"x" + b"y" = c and "x" = 1. Indeterminate equations cannot be solved uniquely. Prominent examples include the following: Univariate polynomial equation: which has multiple solutions for the variable "x" in the complex plane unless it can be rewritten in the form formula_2. Non-degenerate conic equation: where at least one of the given parameters "A", "B", and "C" is non-zero, and "x" and "y" are real variables. Pell's equation:

neg: Independence of clones criterion scored voting methods is controversial. This example shows that the Kemeny–Young method violates the Independence of clones criterion. Assume five candidates A, B, B, B and C and 13 voters with the following preferences: Note, that B, B and B form a clone set. Assume only one of the clones competes. The preferences would be: The Kemeny–Young method arranges the pairwise comparison counts in the following tally table: The ranking scores of all possible rankings are: Result: The ranking B > C > A has the highest ranking score. Thus, B wins ahead of C and A. Assume all three

neg: Chomsky normal form obtained. For example, in the following grammar, with start symbol "S", the nonterminal "A", and hence also "B", is nullable, while neither "C" nor "S" is. Hence the following intermediate grammar is obtained: In this grammar, all ε-rules have been "inlined at the call site". In the next step, they can hence be deleted, yielding the grammar: This grammar produces the same language as the original example grammar, viz. {"ab","aba","abaa","abab","abac","abb","abc","b","bab","bac","bb","bc","c"}, but has no ε-rules. A unit rule is a rule of the form where "A", "B" are nonterminal symbols. To remove it, for each rule where "X" ... "X" is

neg: Location arithmetic or revived based on doubling and halving. Doubling is done by adding a numeral to itself, which mean doubling each of its digit. This gives an extend form, which has to be abbreviated if needed. This operation can also be done in one go by changing all the digit of a numeral by the next digit. For example, the double of a is b, the double of b is c, the double of ab is bc, the double of acfg is bdgh, etc... Similarly, multiplying by a power of two, is just translating its digits. To multiply by c =

neg: BY Draconis BY Draconis BY Draconis is a multiple star system in the constellation Draco, consisting of at least three components. Components A and B are main sequence stars, and form a close binary star system with a short orbital period of only 5.98 days. Their individual spectroscopic classifications are dK5e and dK7e. They form the prototype of a class of variable stars known as BY Draconis variables. The third component (C) is, by comparison, widely separated from the A-B pair by an angular distance of 17 arcseconds, which corresponds to 260 AU at the estimated distance of this star system—where an

neg: Hereditary C*-subalgebra Her("a"). If "A" is separable, then every hereditary C*-subalgebra has this form. These hereditary C*-subalgebras can bring some insight into the notion of Cuntz subequivalence. In particular, if "a" and "b" are positive elements of a C*-algebra "A", then formula_1 if and only if "b" ∈ Her("a"). Hence, "a" ~ "b" if and only if Her("a") = Her("b"). If "A" is unital and the positive element "a" is invertible, then Her("a") = "A". This suggests the following notion for the non-unital case: "a" ∈ "A" is said to be strictly positive if Her("a") = "A". For example, in the C*-algebra

neg: Naachtun core covers approximately .29km of land that is stretched on an east-west axis. The most up to date research indicates that Naachtun started out as a small settlement during the Late Preclassic period, quickly grew during the Early Classic period and remained that way until the Terminal Classic period. The site is divided into three groups: Group A, Group B and Group C. The majority of the structures in Groups C and A were built during the Balam 2 phase (350-500 CE). Group A includes three large plazas: the north, south and west plazas, a large E-Group, Structure XXVII (a

neg: Algebra is identical to "b" ∗ "a"—then the group is said to be abelian. For example, the set of integers under the operation of addition is a group. In this group, the identity element is 0 and the inverse of any element "a" is its negation, −"a". The associativity requirement is met, because for any integers "a", "b" and "c", ("a" + "b") + "c" = "a" + ("b" + "c") The nonzero rational numbers form a group under multiplication. Here, the identity element is 1, since 1 × "a" = "a" × 1 = "a" for any rational number "a".

neg: Poetry rhyme scheme. This rhyme scheme is the one used, for example, in the rubaiyat form. Similarly, an "a-b-b-a" quatrain (what is known as "enclosed rhyme") is used in such forms as the Petrarchan sonnet. Some types of more complicated rhyming schemes have developed names of their own, separate from the "a-b-c" convention, such as the ottava rima and terza rima. The types and use of differing rhyming schemes is discussed further in the main article. Poetic form is more flexible in modernist and post-modernist poetry, and continues to be less structured than in previous literary eras. Many modern poets eschew

neg: Latin square or "in standard form") if both its first row and its first column are in their natural order. For example, the Latin square above is not reduced because its first column is A, C, B rather than A, B, C. Any Latin square can be reduced by permuting (that is, reordering) the rows and columns. Here switching the above matrix's second and third rows yields the following square: This Latin square is reduced; both its first row and its first column are alphabetically ordered A, B, C. If each entry of an "n" × "n" Latin square is written as

neg: Ixkun around the lower portions of the platform, some of which date to the Early Classic. Structure 38-A was not properly explored due to its very poor state of preservation. Structure 38-B and Structure 38-C form a single platform that supports a further rectangular platform. Excavations revealed earth and stone infill. The structures were built at the same time as the basal platform (Structure 38-C). The majority of the ceramic remains were recovered from Structure 38-C and date to the Terminal Classic. Group 50 is located just under to the north of the site core and is joined to it by

neg: Union (set theory) and intersections form a Boolean algebra, intersection distributes over union and union distributes over intersection Within a given universal set, union can be written in terms of the operations of intersection and complement as where the superscript denotes the complement with respect to the universal set. One can take the union of several sets simultaneously. For example, the union of three sets "A", "B", and "C" contains all elements of "A", all elements of "B", and all elements of "C", and nothing else. Thus, "x" is an element of "A" ∪ "B" ∪ "C" if and only if "x" is

neg: Herman ring by quasiconformal surgery from the quadratic polynomial which possesses a Siegel disk with period 2. The parameters "a", "b", "c" are calculated by trial and error. Letting then the period of one of the Herman ring of "g" is 3. Shishikura also given an example: a rational function which possesses a Herman ring with period 2, but the parameters showed above are different from his. So there is a question: How to find the formulas of the rational functions which possess Herman rings with higher period? According to the result of Shishikura, if a rational function "ƒ" possesses a Herman

neg: Pattern language (formal languages) can be produced by an indexed grammar: For example, using Σ = { "a", "b", "c" } and "X" = { x, y }, the pattern "a" x "b" y "c" x "a" y "b" is generated by a grammar with nonterminal symbols "N" = { "S", "S", "S" } ∪ "X", terminal symbols "T" = Σ, index symbols "F" = { "a", "b", "c", "a", "b", "c" }, start symbol "S", and the following production rules: An example derivation is: ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ... ⇒ ⇒ ... ⇒ ⇒ ... ⇒ In a similar way, an

neg: Zacpeten to the Middle Preclassic and Late Classic periods. The group contains two open halls and a short causeway that bisects the plaza. Group B was built upon the northern section of the peninsula; it includes a possible Late Classic twin-pyramid complex. Group B also contains a number of structures dating to the Late Postclassic period. Inscriptions on the monuments and the layout and inscriptions on the monuments of Group B suggest Late Classic ties with Tikal, a regional center located 25 km north of Zacpeten. Group C was a Late Postclassic ceremonial complex; it was built upon a hill occupying

neg: Interval scheduling Interval scheduling Interval scheduling is a class of problems in computer science, particularly in the area of algorithm design. The problems consider a set of tasks. Each task is represented by an "interval" describing the time in which it needs to be executed. For instance, task A might run from 2:00 to 5:00, task B might run from 4:00 to 10:00 and task C might run from 9:00 to 11:00. A subset of intervals is "compatible" if no two intervals overlap. For example, the subset {A,C} is compatible, as is the subset {B}; but neither {A,B} nor {B,C} are compatible

neg: Lehmer code 2, … "n"} is sought). Alternatively the entries of the Lehmer code can be processed from left to right, and interpreted as a number determining the next choice of an element as indicated above; this requires maintaining a list of available elements, from which each chosen element is removed. In the example this would mean choosing element 1 from {A,B,C,D,E,F,G} (which is B) then element 4 from {A,C,D,E,F,G} (which is F), then element 0 from {A,C,D,E,G} (giving A) and so on, reconstructing the sequence B,F,A,G,D,E,C. The Lehmer code defines a bijection from the symmetric group "S" to the Cartesian product

neg: Aryne 300 °C, [1,6-D2]-A readily equilibrates with [3,2-D2]-B, but does not equilibrate with C or D. The simultaneous migration of deuterium atoms to form B, and the fact that none of C or D is formed can only be explained by a presence of a cyclic and symmetrical intermediate –1,4-didehydrobenzene. The Bergman cyclization proved to be even more important with the discovery of enediyne "cytostatics", compounds able to cleave double-stranded DNA. One example of enediyne cytostatic is calicheamicin, which in cell reveals a 1,4-didehydrobenzene moiety. The ability of substituted 1,4-didehydrobenzene to abstract hydrogen atoms from DNA is thought to be a

neg: Condorcet method more of the "B" voters decided to vote "BC", the A->C arm of the cycle would be overturned and Condorcet would pick C instead of B. This is an example of "Unburying" or "Later does harm". The margin method would pick C anyway. Under the margin method, if three more "BC" voters decided to "bury" C by just voting "B", the A->C arm of the cycle would be strengthened and the resolution strategies would end up breaking the C->B arm and giving the win to B. This is an example of "Burying". The winning votes method would pick B anyway.

neg: Double-Function Form in C-sharp minor (#14), which consists of seven connected movements (these however do not combine to create a clear larger form, and thus the quartet is not an example of double-function form). Double-Function Form Double-function form is a musical construction that allows for a collection of movements to be viewed as elements of a single larger musical form. The most famous example of this is Franz Liszt’s Piano Sonata in B minor (1853). The sonata is composed as a single movement with about a half an hour’s duration. The piece introduces some themes at the very outset of the piece

neg: GCE Advanced Level (United Kingdom) is worth 56 points, while an A is worth 48, a B is worth 40, a C is worth 32, a D is 24, and a E is worth 16; so a university may instead demand that an applicant achieve 112 points, instead of the equivalent offer of B-B-C. This allows greater flexibility to students, as 112 points could also, for example, be achieved through the combination A-B-D, which would not have met the requirements of a B-B-C offer because of the D grade. Depending on the specific offer made, a combination of more than 3 subjects (typically 4 or

neg: Concerto in "B Goode" Concerto in "B Goode" Concerto in "B Goode" is the thirteenth studio album by Chuck Berry, released in 1969 by Mercury Records. The title song is an extended instrumental interpolation of a wide range of theme pioneered in Berry's classic 1957-62 period, running approximately 18 minutes and taking up the entire second side of the record; this is Berry embracing the emerging preference in the rock genre for extended numbers. The title refers to Berry's semi-autobiographical song "Johnny B. Goode." In his "Rolling Stone" review, Lester Bangs hailed this as a real return to form: "The Master is back again,

neg: Constant (mathematics) integration which is an arbitrary constant function (not depending on the variable of integration) added to a particular antiderivative to get all the antiderivatives of the given function. For example, a general quadratic function is commonly written as: where "a", "b" and "c" are constants (or parameters), while "x" is the variable, a placeholder for the argument of the function being studied. A more explicit way to denote this function is which makes the function-argument status of "x" clear, and thereby implicitly the constant status of "a", "b" and "c". In this example "a", "b" and "c" are coefficients of

neg: Crystal structure of boron-rich metal borides I1 and I2, alternatively stack along the "c"-axis. However, the ScBC crystal is not layered. For example, during arc-melting, ScBC needle crystals violently grow along the "c"-axis – this never happens in layered compounds. The crystal structure viewed along the "c"-axis is shown in figure 21a. The icosahedra I1 and I2 form a ring centered by the "tube" shown in figure 21b, which probably governs the properties of the ScBC crystal. B/C15 and B/C16 mixed-occupancy sites interconnect the rings. A structural similarity can be seen between ScBC and BeB. Figures 22a and b present HRTEM lattice images and electron diffraction

neg: Title (property) of property" is that right which, if all relevant facts were known (and allowed), would defeat all other claims. Each of these may be in a different person. For example, suppose A steals from B, what B had previously bought in good faith from C, which C had earlier stolen from D, which had been an heirloom of D's family for generations, but had originally been stolen centuries earlier (though this fact is now forgotten by all) from E. Here A has the possession, B has an "apparent" right of possession (as evidenced by the purchase), D has the "absolute"

neg: Inequality (mathematics) < "b" < "c stands for ""a" < "b" and "b" < "c"", from which, by the transitivity property above, it also follows that "a" < "c". By the above laws, one can add or subtract the same number to all three terms, or multiply or divide all three terms by same nonzero number and reverse all inequalities if that number is negative. Hence, for example, "a" < "b" + "e" < "c" is equivalent to "a" − "e" < "b" < "c" − "e". This notation can be generalized to any number of terms: for instance, "a" ≤ "a"

neg: Centaur would be; this form, designated "Class A" by Professor Baur, later became standard. "Class B" centaurs are depicted with a human body and legs, joined at the waist with the hindquarters of a horse; in some cases centaurs of both types appear together. A third type, designated "Class C", depicts centaurs with human forelegs terminating in hooves. Baur describes this as an apparent development of Aeolic art, which never became particularly widespread. At a later period, paintings on some amphoras depict winged centaurs. Centaurs were also frequently depicted in Roman art. A particularly famous example is the pair of centaurs

neg: Equation solving define that the domain of "ƒ" consists of the real numbers, the equation above has two solutions, and its solution set is We have already seen that certain solutions sets can describe surfaces. For example, in studying elementary mathematics, one knows that the solution set of an equation in the form "ax" + "by" = "c" with "a", "b", and "c" real-valued constants, with "a" and "b" not both equal to zero, forms a line in the vector space R. However, it may not always be easy to graphically depict solutions sets – for example, the solution set to an

neg: Lexical semantics the reflexive pronoun, and "Class C" verbs form inchoatives optionally with or without the reflexive pronoun. In example (5), the verb ' is an unmarked inchoative verb from "Class B", which also remains unmarked in its causative form. In contrast, the verb "öffnete" is a "Class A" verb which necessarily takes the reflexive pronoun "sich" in its inchoative form, but remains unmarked in its causative form. There has been some debate as to whether the different classes of inchoative verbs are purely based in morphology, or whether the differentiation is derived from the lexical-semantic properties of each individual verb. While

neg: Variable-order Markov model for many applications, such as statistical analysis, classification and prediction. Consider for example a sequence of random variables, each of which takes a value from the ternary alphabet {"a", "b", "c"}. Specifically, consider the string "" constructed from infinite concatenations of the sub-string "aaabc". The VOM model of maximal order 2 can approximate the above string using "only" the following five conditional probability components: {Pr("a" | "aa") = 0.5, Pr("b" | "aa") = 0.5, Pr("c" | "b") = 1.0, Pr("a" | "c")= 1.0, Pr("a" | "ca") = 1.0}. In this example, Pr("c"|"ab") = Pr("c"|"b") = 1.0; therefore, the shorter context

neg: Irish traditional music B Phrase, A Phrase, Final Resolution, though this is not universal; mazurkas, for example, tend to feature a C Phrase instead of a repeated A Phrase before the Partial and Final Resolutions, for example. Many tunes have pickup notes which lead in to the beginning of the A or B parts. Mazurkas and hornpipes have a swing feel, while other tunes have straight feels. Tunes are typically binary in form, divided into two (or sometimes more) parts, each with four to eight bars. The parts are referred to as the A-part, B-part, and so on. Each part is played twice,

neg: Implicational propositional calculus can arbitrarily choose it to be true. Summing up, the valuation which sets "B", "C" and "D" to be true and "A", "E" and "F" to be false will make [("A"→"B")→(("C"→"A")→"E")]→(["F"→(("C"→"D")→"E")]→[("A"→"F")→("D"→"E")]) false. So it is not a tautology. Example of a tautology: Suppose (("A"→"B")→"C")→(("C"→"A")→("D"→"A")) is false. Then ("A"→"B")→"C" is true; "C"→"A" is true; "D" is true; and "A" is false. Since "A" is false, "A"→"B" is true. So "C" is true. Thus "A" must be true, contradicting the fact that it is false. Thus there is no valuation which makes (("A"→"B")→"C")→(("C"→"A")→("D"→"A")) false. Consequently, it is a tautology. What would happen

neg: Canzone Minnesang, the canzone follows the tri-partite structure of the Provençal canso: two metrical identical "Stollen" ("supports") form the "Aufgesang" (literally "up-song"), which is followed by a metrically distinct "Abgesang" ("down-song"). The following rules generally apply: This basic pattern is typical of early Minnesang. As the genre develops, more complex forms are found. For example, one of Neithart's Winter Song "Winder, dîniu meil" (No. 32) has a 14-line canzone with the rhyme scheme a b c d | a b c d || e e f g f g. The earliest canzone in Minnesang date from the late 12th Century and

neg: Kyrielle may have, but three is considered the accepted minimum. If the kyrielle is written in couplets, the rhyme scheme will be: a-A, a-A. There are a number of possible rhyme schemes for kyrielle constructed in quatrains, including a-a-b-B, c-c-b-B and a-b-a-B, c-b-c-B (uppercase letters signify the refrain). In the original French kyrielle, lines were generally octosyllabic. In English, the lines are generally iambic tetrameters. This kyrielle is by Thomas Campion. "A Lenten Hymn " Kyrielle The kyrielle is a poetic form that originated in troubadour poetry. The name kyrielle derives from the "Kýrie", which is part of many Christian liturgies.

neg: Geomagnetic jerk at a specific location changes with time "t" approximately as a fixed polynomial of the second degree, "A" "t" + "B" "t" + "C". Each jerk is a relatively sudden change (spread over a period of a few months to a couple of years) in the "A" coefficient of this formula, which determines the second derivative; and usually in "B" and "C" coefficients as well. The strength of each jerk varies from location to location, and some jerks are observed only in some regions. For example, the 1949 jerk was clearly observed at Tucson (North America, long. 110.93°), but not

neg: Inductive reasoning are true. Instead of being valid or invalid, inductive arguments are either "strong" or "weak", which describes how "probable" it is that the conclusion is true. Another crucial difference is that deductive certainty is impossible in non-axiomatic systems, such as reality, leaving inductive reasoning as the primary route to (probabilistic) knowledge of such systems. Given that "if "A" is true then that would cause "B", "C", and "D" to be true", an example of deduction would be ""A" is true therefore we can deduce that "B", "C", and "D" are true". An example of induction would be ""B", "C", and

neg: Biomimetic synthesis a proposed biosynthesis pathway of proto-daphniphylline from squalene, Clayton Heathcock and co-workers developed a remarkably elegant and short total synthesis of proto-daphniphylline from simple starting materials. This is a classic example of how biomimetic synthesis dramatically simplifies traditional total synthesis towards complex natural products. The key step in Heathcock's synthetic route involves a cyclization of acyclic dialdehydes A or B to form proto-daphniphylline. Both dialdehydes (A or B) have carbon skeletons analogous to squalene and can be synthesized from simple starting materials. Treating A or B with a sequence of simple reagents containing potassium hydroxide, ammonia, and acetic acid led

neg: Conflict-driven clause learning conjunctive normal form (CNF). An example of such a formula is: or, using a common notation: where "A","B","C" are Boolean variables, formula_2, formula_3, formula_4, and formula_5 are literals, and formula_6 and formula_7 are clauses. A satisfying assignment for this formula is e.g.: since it makes the first clause true (since formula_2 is true) as well as the second one (since formula_5 is true). This examples uses three variables ("A", "B", "C"), and there are two possible assignments (True and False) for each of them. So one has formula_11 possibilities. In this small example, one can use brute-force search to try

neg: Unification (computer science) in infix notation as "x"."y" for brevity; e.g. "app"("a"."b"."nil","c"."d"."nil") → "a"."app"("b"."nil","c"."d"."nil") → "a"."b"."app"("nil","c"."d"."nil") → "a"."b"."c"."d"."nil" demonstrates the concatenation of the lists "a"."b"."nil" and "c"."d"."nil", employing the rewrite rule 2,2, and 1. The equational theory "E" corresponding to "R" is the congruence closure of "R", both viewed as binary relations on terms. For example, "app"("a"."b"."nil","c"."d"."nil") ≡ "a"."b"."c"."d"."nil" ≡ "app"("a"."b"."c"."d"."nil","nil"). The paramodulation algorithm enumerates solutions to equations with respect to that "E" when fed with the example "R". A successful example computation path for the unification problem { "app"("x","app"("y","x")) ≐ "a"."a"."nil" } is shown below. To avoid variable name clashes, rewrite rules

neg: Negative number and ("c", "d") if they are equivalent in the above sense. Note that Z, equipped with these operations of addition and multiplication, is a ring, and is in fact, the prototypical example of a ring. We can also define a total order on Z by writing This will lead to an "additive zero" of the form ("a", "a"), an "additive inverse" of ("a", "b") of the form ("b", "a"), a multiplicative unit of the form ("a" + 1, "a"), and a definition of subtraction This construction is a special case of the Grothendieck construction. The negative of a number is

neg: Abc conjecture "q"("a", "b", "c") of the triple ("a", "b", "c"), defined as For example, A typical triple ("a", "b", "c") of coprime positive integers with "a" + "b" = "c" will have "c" < rad("abc"), i.e. "q"("a", "b", "c") < 1. Triples with "q" > 1 such as in the second example are rather special, they consist of numbers divisible by high powers of small prime numbers. Whereas it is known that there are infinitely many triples ("a", "b", "c") of coprime positive integers with "a" + "b" = "c" such that "q"("a", "b", "c") > 1, the conjecture predicts that

neg: Ideal (ring theory) The extension formula_197 of formula_53 in "B" is defined to be the ideal in "B" generated by formula_196. Explicitly, If formula_96 is an ideal of "B", then formula_202 is always an ideal of "A", called the contraction formula_203 of formula_96 to "A". Assuming "f" : "A" → "B" is a ring homomorphism, formula_53 is an ideal in "A", formula_96 is an ideal in "B", then: It is false, in general, that formula_53 being prime (or maximal) in "A" implies that formula_197 is prime (or maximal) in "B". Many classic examples of this stem from algebraic number theory. For example, embedding

neg: Tote betting forecast). Pick in either order the horses which will finish first and second. This bet is actually two bets in one, it is exactly equivalent to two straight forecasts, the first of which you select horse A to beat horse B, and then the second is for horse B to beat horse A. It's possible to specify more than two horses, at which point the bet becomes more complex, for example with three horses the individual bets are now a-b, a-c, b-a, b-c, c-a, c-b. Banker Exacta (banker forecast). Pick a horse which you think is going to finish first,

neg: Tomorrow Never Knows in the upper harmonies – "Turn off your mind", for example, is a run of unvarying E melody notes, before "relax" involves an E–G melody-note shift and "float downstream" an E–C–G descent. "It is not dying" involves a run of three G melody notes that rise on "dying" to a B, at the start of the verse's fifth bar, creating a VII/I (B/C) "slash" polychord. Due to Lennon's adherence to Leary's text, "Tomorrow Never Knows" was also the first song by the Beatles to depart from any form of rhyming scheme. "Tomorrow Never Knows" was the first song attempted during

neg: Sequent either α is true or β is true. But it does not mean that either α is a tautology or β is a tautology. To clarify this, consider the example ' ⊢ B ∨ A, C ∨ ¬A '. This is a valid sequent because either B ∨ A is true or C ∨ ¬A is true. But neither of these expressions is a tautology in isolation. It is the "disjunction" of these two expressions which is a tautology. Similarly, a sequent of the form ' α, β ⊢ ', for logical formulas α and β, means that either α

neg: Multiple inheritance both B and C. If there is a method in A that B and C have overridden, and D does not override it, then which version of the method does D inherit: that of B, or that of C? For example, in the context of GUI software development, a class codice_1 may inherit from both classes codice_2 (for appearance) and codice_3 (for functionality/input handling), and classes codice_2 and codice_3 both inherit from the codice_6 class. Now if the codice_7 method is called for a codice_1 object and there is no such method in the codice_1 class but there is an

neg: Optimality Theory its candidate set if it is better on the constraint hierarchy than all other candidates. For example, given the constraints C, C, and C, where C dominates C, which dominates C (C ≫ C ≫ C), A is optimal if it does better than B on the highest ranking constraint which assigns them a different number of violations. If A and B tie on C, but A does better than B on C, A is optimal, even if A has however many more violations of C than B does. This comparison is often illustrated with a tableau. The pointing finger

neg: Nodular lymphocyte predominant Hodgkin's lymphoma Nodular lymphocyte predominant Hodgkin's lymphoma Nodular lymphocyte predominant Hodgkin's lymphoma (NLPHL) is an indolent CD20(+) form of lymphoma. Some people no longer classified it as a form of classic Hodgkin's lymphoma (HL). This is because the Reed-Sternberg cell (RSC) variants (popcorn cells) that characterize this form of the disease invariably express B lymphocyte markers such as CD20 (thus making NLPHL an unusual form of B cell lymphoma), and that (unlike classic HL) NLPHL may progress to diffuse large B cell lymphoma. There are small but clear differences in prognosis between the various forms. Lymphocyte predominant HL is an uncommon subtype

neg: Boyce–Codd normal form the anomaly affecting the original table has been eliminated. In some cases, a non-BCNF table cannot be decomposed into tables that satisfy BCNF and preserve the dependencies that held in the original table. Beeri and Bernstein showed in 1979 that, for example, a set of functional dependencies {AB → C, C → B} cannot be represented by a BCNF schema. Consider the following non-BCNF table whose functional dependencies follow the {AB → C, C → B} pattern: For each Person / Shop Type combination, the table tells us which shop of this type is geographically nearest to the person's home.

neg:
Family resemblance the sorites type. It consists in a collection of items "Item_1", "Item_2", "Item_3"... described by features A, B, C, D, ...: "Item_1": A B C D
 "Item_2": B C D E
 "Item_3": C D E F
 "Item_4": D E F G
 "Item_5": E F G H
 In this example, which presents an indefinitely extended ordered family, resemblance is seen in shared features: each item shares three features with his neighbors e.g. "Item_2" is like "Item_1" in respects B, C, D, and like "Item_3" in respects C, D, E. Obviously what we call 'resemblance' involves different

neg: C-command A "c-commands" node B if and only if: For example, according to this definition, in the tree at the right, If node A c-commands node B, and B also c-commands A, it can be said that A "symmetrically c-commands" B. If A c-commands B but B does not c-command A, then A "asymmetrically c-commands" B. The notion of asymmetric c-command plays a major role in Richard Kayne's theory of Antisymmetry. A number of variations of the c-command relationship have been proposed, a prominent one being m-command, which is used in defining the notion of government. The term itself, i.e. "c-command",

neg: Concrete category is "b" (i.e. all morphisms of the form "f": "a" → "b" for any object "a" of "C"), and its morphism part maps each morphism "g": "b" → "c" of "C" to the function "U"("g"): "U"("b") → "U"("c") which maps each member "f": "a" → "b" of "U"("b") to the composition "gf": "a" → "c", a member of "U"("c"). (Item 6 under Further examples expresses the same "U" in less elementary language via presheaves.) The Counter-examples section exhibits two large categories that are not concretizable. It is important to note that, contrary to intuition, concreteness is not a property which

neg: Enharmonic the readability of a line of music. For example, a sequence of notes is more easily read as "ascending" or "descending" if the noteheads are on different positions on the staff. Doing so may also reduce the number of accidentals that must be used. Thus, in the key of B major, the sequence B-B-B is more easily read using the enharmonic spelling C instead of B. For example, the intervals of a minor sixth on C, on B, and an augmented fifth on C are all enharmonic intervals . The most common enharmonic intervals are the augmented fourth and diminished

neg: Schulze method a candidate Y is labelled with d[X, Y]. To avoid cluttering the diagram, an arrow has only been drawn from X to Y when d[X, Y] > d[Y, X] (i.e. the table cells with light green background), omitting the one in the opposite direction (the table cells with light red background). One example of computing the strongest path strength is p[B, D] = 33: the strongest path from B to D is the direct path (B, D) which has strength 33. But when computing p[A, C], the strongest path from A to C is not the direct path (A, C)

neg: Synthetic mode cycling through unusual chord progressions or hybrid chords. Example: the three-tonic cycle normally requires changing "key notes" to emphasize each modulation. If we look for one scale that can fit all the chords, the first logical thing to do is to try and combine the triad notes of all tonics. Suppose we start the cycle with C major, our pitches will be: C E G, E G B, and A[G] C E[D]. These notes form the following scale: C D E G A B (C) Essentially, these are C augmented and B augmented triads superimposed over each other. Such structuring,

neg: Chord (music) complicate the terminology. For example, the chord B–E–A appears to be quartal, as a series of diminished fourths (B–E and E–A), but it is enharmonically equivalent to (and sonically indistinguishable from) the tertian chord C–E–G, which is a series of major thirds (C–E and E–G). The notes of a chord form intervals with each of the other notes of the chord in combination. A 3-note chord has 3 of these harmonic intervals, a 4-note chord has 6, a 5-note chord has 10, a 6-note chord has 15. The absence, presence, and placement of certain key intervals plays a large part

neg: Indexed grammar the context-sensitive language of word triples { "www" : "w" ∈ {"a","b"} }: A derivation of "" is then As another example, the grammar "G" = ⟨ {"S","T","A","B","C"}, {"a","b","c"}, {"f","g"}, "P", "S" ⟩ produces the language { "a""b""c": "n" ≥ 1 }, where the production set "P" consists of An example derivation is Both example languages are known to be not context-free. Hopcroft and Ullman tend to consider indexed languages as a "natural" class, since they are generated by several formalisms other than indexed grammars, viz. Hayashi generalized the pumping lemma to indexed grammars. Conversely, Gilman gives a "shrinking lemma"

neg: ABA problem which is an ABA problem. Consider a software example of ABA using a lock-free stack: This code can normally prevent problems from concurrent access, but suffers from ABA problems. Consider the following sequence: Stack initially contains "top" → A → B → C Thread 1 starts running pop: Thread 1 gets interrupted just before the compare_exchange_weak... Now the stack is "top" → A → C When Thread 1 resumes: This instruction succeeds because it finds "top" == ret (both are A), so it sets top to next (which is B). As B has been deleted the program will access freed

neg: Split-ticket voting an average Republican supporter elsewhere. For example, Massachusetts, despite being one of the most solidly Democratic states in national elections, elected Republican governors in 1990, 1994, 1998, 2002, 2014, and 2018. Although less common, split-ticket voting can potentially be used as a form of tactical voting. One possible example of this is a voter who prefers candidate A but does not believe that candidate A can win the election, so the voter votes for candidate B (who may be of a different political party from candidate A) because candidate B is better than other more competitive candidates C, D, etc.

neg: Upper structure the C chord. In the upper-stave the notes E, G, and B are given together: these form an E major triad. This E major triad is what would be called the upper structure. Considered in relation to the root C, the notes of this E major triad function, respectively, as the sharpened ninth (actually a flattened tenth, enharmonically equal to the sharpened ninth which forms the root of the E major chord), fifth, and seventh in relation to that root. Example 2: The following example illustrates the notes of an F minor triad functioning as part of a C chord

neg: Depth-first search A C A or A C D C A B A (choosing to first visit B or C from A is up to the algorithm). Note that repeat visits in the form of backtracking to a node, to check if it has still unvisited neighbors, are included here (even if it is found to have none). Thus the possible preorderings are A B D C and A C D B, while the possible postorderings are D B C A and D C B A, and the possible reverse postorderings are A C B D and A B C D. Reverse

neg: Third man argument B, C, G1) to form a new plurality of great things: (A, B, C, G1, G2). By One-Over-Many, there is a form of greatness (say, G3) by virtue of partaking of which A, B, C, G1, and G2 are great. But in that case G1 and G2 both partake of G3, and by Non-Self-Partaking, neither of G1 and G2 is identical to G3. So there must be at least three forms of greatness, G1, G2, and G3. Repetition of this reasoning shows that there is an infinite hierarchy of forms of greatness, with each form partaking of the infinite number

neg: Analogy B, C, D and E or A, B, C and non-D that prescribes the same or similar legal consequece for these cases as the rule which addresses cases which features are A, B, C, D (the analogical conclusion). Legal analogy can, however, assume also the structure of (mathematical) proportion, i.e.: A is to B as C is to D or A is to B as B is to C. The contemporary proponents of proportional analogy, including legal one, are Chaïm Perelman and Lucie Olbrechts Tyteca., Specifically, in law, analogy of proportion takes the form: 1) Determination of the relation that

neg: Iron poisoning vessels. Death may occur from liver failure. If intake of iron is for a prolonged period of time, symptoms are likely to be similar to other causes of iron overload. In nature, iron is usually found in its oxidized form, iron (III) oxide, which is insoluble. Ferrous iron, iron (II), is soluble and its toxicity varies, largely with the integrity of the gastrointestinal lining. Iron supplements are typically used to treat anemia. Modalities include: diet, parasite control, vitamin A, riboflavin (B), vitamin C (for absorption), folate(B), vitamin B and multivitamin-multimineral supplements, with or without iron; potentially avoiding the use of

neg: Carbon–hydrogen bond activation employs guided C-H functionalization late stage to a highly functionalized system. The directing group, a chiral nonracemic imine, is capable of performing an intramolecular alkylation, which allows for the rhodium-catalyzed conversion of imine to the dihydrobenzofuran. The total synthesis of calothrixin A and B features an intramolecular Pd-catalyzed cross coupling reaction via C-H activation, an example of a guided C-H activation. Cross coupling occurs between aryl C-I and C-H bonds to form a C-C bond (highlighted in red). The synthesis of a Mescaline analogue, which has interesting biological properties, employs, specifically, the rhodium-catalyzed enantioselective annulation of an aryl imine via

neg: Subdominant key of the piece) produces the so-called "plagal" (or "Amen") cadence. "Subdominant" also refers to a relationship of musical keys. For example, relative to the key of C major, the key of F major is the subdominant. Music which modulates (changes key) often modulates into the subdominant when the leading tone is lowered by a half step to the subtonic (B to B in the key of C). Modulation into the subdominant key often creates a sense of musical relaxation; as opposed to modulation into dominant (fifth note of the scale), which increases tension. In sonata form, the subdominant key

neg: Hierarchical clustering Euclidean distance is the distance metric. Cutting the tree at a given height will give a partitioning clustering at a selected precision. In this example, cutting after the second row of the dendrogram will yield clusters {a} {b c} {d e} {f}. Cutting after the third row will yield clusters {a} {b c} {d e f}, which is a coarser clustering, with a smaller number but larger clusters. The hierarchical clustering dendrogram would be as such: This method builds the hierarchy from the individual elements by progressively merging clusters. In our example, we have six elements {a} {b} {c} {d}