A bow curve is a
The bow curve has a single triple point at x=0, y=0, and consequently is a rational curve, with genus zero. Expanding around zero, the three branches have series
The nature of any singularity of a plane algebraic curve is defined by its link; the link for the singularity, an ordinary triple point, of the bow curve is illustrated below.
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bow — bow1 bowedness, n. bowingly, adv. /bow/, v.i. 1. to bend the knee or body or incline the head, as in reverence, submission, salutation, recognition, or acknowledgment. 2. to yield; submit: to bow to the inevitable. 3. to bend or curve downward;… … Universalium
bow — I. /baʊ / (say bow) verb (i) 1. to bend or curve downwards; stoop: the pines bowed low. 2. to yield; submit: to bow to the inevitable. 3. to bend the body or head in worship, reverence, respect, or submission. 4. to incline the head or body, or… …
bow — I [[t]baʊ[/t]] v. i. 1) to bend the knee or body or incline the head, as in reverence, submission, or salutation 2) to yield; submit: to bow to the inevitable[/ex] 3) to bend or curve downward; stoop: The pines bowed low[/ex] 4) to bend or… … From formal English to slang
curve — vb Curve, bend, twist are comparable when they mean to swerve or cause to swerve or deviate from a straight line or a normal direction or course. Curve is the word of widest application, and it may describe any deviation or swerving from the… … New Dictionary of Synonyms
bow — bow1 [bou] vi. [ME bouen < OE bugan, to bend < IE base * bheugh , to bend > Ger biegen; the BOW1 n. is 17th c.] 1. Dial. to bend or stoop 2. to bend down one s head or bend one s body in respect, agreement, worship, recognition, etc. 3.… … English World dictionary
bow — [n1] bend from waist angle, arc, arch, bend, bending, bob, curtsy, curvation, curvature, curve, flection, flexure, genuflection, inclination, kowtow*, nod, obeisance, round, salaam, turn, turning; concepts 154,201 Ant. straighten bow [n2] front… … New thesaurus
bow — vb defer, *yield, submit, capitulate, succumb, relent, cave bow n arc, arch, *curve bow vb *flex, crook, buckle Analogous words: bend, *curve, twist … New Dictionary of Synonyms
Bow — (b[=o]), n. [OE. bowe, boge, AS. boga, fr. AS. b[=u]gan to bend; akin to D. boog, G. bogen, Icel. bogi. See {Bow}, v. t.] [1913 Webster] 1. Anything bent, or in the form of a curve, as the rainbow. [1913 Webster] I do set my bow in the cloud. Gen … The Collaborative International Dictionary of English
Bow bearer — Bow Bow (b[=o]), n. [OE. bowe, boge, AS. boga, fr. AS. b[=u]gan to bend; akin to D. boog, G. bogen, Icel. bogi. See {Bow}, v. t.] [1913 Webster] 1. Anything bent, or in the form of a curve, as the rainbow. [1913 Webster] I do set my bow in the… … The Collaborative International Dictionary of English
Bow drill — Bow Bow (b[=o]), n. [OE. bowe, boge, AS. boga, fr. AS. b[=u]gan to bend; akin to D. boog, G. bogen, Icel. bogi. See {Bow}, v. t.] [1913 Webster] 1. Anything bent, or in the form of a curve, as the rainbow. [1913 Webster] I do set my bow in the… … The Collaborative International Dictionary of English
