# Inflections Sentence Examples

The books from the eighth to the tenth inclusive are devoted to the

**inflections**of words and their other modifications.These slight

**inflections**of the cleavage may be sharp-sided, and may pass into small faults or steps along which dislocation has taken place.Though many syllables have to do duty for the expression of more than one idea, the majority have only one or at most two meanings, but there are some which are used with quite a number of different

**inflections**, each of which gives the word a new meaning.Soulful with jazz

**inflections**, mature definitely not poppy or watered down.All parts of speech, except adverbs, are declined by terminational

**inflections**.Dealing next with accent, punctuation marks, sounds and syllables, it goes on to the different parts of speech (eight in number) and their

**inflections**.The first, which has been called Oldest Danish, dating from about 1 ioo and 1250, shows a slightly changed character, mainly depending on the system of

**inflections**.In regard to the ordinary singularities, we have m, the order, n „ class, „ number of double points, Cusps, T double tangents,

**inflections**; and this being so, Pliicker's ” six equations ” are n = m (m - I) -2S -3K, = 3m (m - 2) - 6S- 8K, T=Zm(m -2) (m29) - (m2 - m-6) (28-i-3K)- I -25(5-1) +65K-1114 I), m =n(n - I)-2T-3c, K= 3n (n-2) - 6r -8c, = 2n(n-2)(n29) - (n2 - n-6) (2T-{-30-1-2T(T - I) -1-6Tc -}2c (c - I).Seeking then, for this curve, the values, n, e, of the class, number of

**inflections**, and number of double tangents, - first, as regards the class, this is equal to the number of tangents which can be drawn to the curve from an arbitrary point, or what is the same thing, it is equal to the number of the points of contact of these tangents.Secondly, as to the

**inflections**, the process is a similar one; it can be shown that the**inflections**are the intersections of the curve by a derivative curve called (after Ludwig Otto Hesse who first considered it) the Hessian, defined geometrically as the locus of a point such that its conic polar (§ 8 below) in regard to the curve breaks up into a pair of lines, and which has an equation H = o, where H is the determinant formed with the second differential coefficients of u in regard to the variables (x, y, z); H= o is thus a curve of the order 3 (m - 2), and the number of**inflections**is =3m(m-2).AdvertisementThe node or cusp is not an inflection, and we have thus for a node a diminution 6, and for a cusp a diminution 8, in the number of the intersections; hence for a curve with 6 nodes and cusps, the diminution is = 66+8K, and the number of

**inflections**is c= 3m(m - 2) - 66 - 8K.We may further consider the

**inflections**and double tangents, as well in general as in regard to cubic and quartic curves.The whole theory of the

**inflections**of a cubic curve is discussed in a very interesting manner by means of the canonical form of the equation x +y +z +6lxyz= o; and in particular a proof is given of Plucker's theorem that the nine points of inflection of a cubic curve lie by threes in twelve lines.It may be noticed that the nine

**inflections**of a cubic curve represented by an equation with real coefficients are three real, six imaginary; the three real**inflections**lie in a line, as was known to Newton and Maclaurin.For an acnodal cubic the six imaginery

**inflections**disappear, and there remain three real**inflections**lying in a line.AdvertisementFor a crunodal cubic the six

**inflections**which disappear are two of them real, the other four imaginary, and there remain two imaginary**inflections**and one real inflection.For a cuspidal cubic the six imaginary

**inflections**and two of the real**inflections**disappear, and there remains one real inflection.It may be added that there are on the odd circuit three

**inflections**, but on the even circuit no inflection; it hence also appears that from any point of the odd circuit there can be drawn to the odd circuit two tangents, and to the even circuit (if any) two tangents, but that from a point of the even circuit there cannot be drawn (either to the odd or the even circuit) any real tangent; consequently, in a simplex curve the number of tangents from any point is two; but in a complex curve the number is four, or none, - f our if the point is on the odd circuit, none if it is on the even circuit.A non-singular quartic has only even circuits; it has at most four circuits external to each other, or two circuits one internal to the other, and in this last case the internal circuit has no double tangents or

**inflections**.The reggae rhythm combines well with the vocals, which also have true reggae

**inflections**.AdvertisementPlants and Ghosts promises Davies' familiar sensuous, lucid dance yet given new

**inflections**and textural change.Boult's timing of the Spanish rhythmic

**inflections**is, perhaps surprisingly given his reputation for English music, near-perfect.For instance, the vocal

**inflections**of a singer in Santa Fe modulated the lighting in New York.But Beautiful imparts a warm, after-hours feeling with Brooks ' subtle

**inflections**behind the leader's comforting open horn.It includes a survey of grammar, with tables for verb conjugations and noun

**inflections**.AdvertisementIn its rudiments it is akin to the HamitoSemitic group. It possesses two grammatical genders, not masculine and feminine, but the human and the non-human; the adjective agrees in assonance with its noun, and euphony plays a great part in verbal and nominal

**inflections**.The problem is more complex with verb

**inflections**and in languages other than English.Believe it or not, it is really the

**inflections**of our voices that dogs understand.In the early stages of simultaneous bilingual language development, a child may mix words, parts of words, and

**inflections**from both languages in a single sentence.