174 (number)

174 1, 2, 3, 6, 29, 58, 87, 174 174 (one hundred [and] seventy-four) is the natural number following 173 and preceding 175. In mathematics There are 174 7-crossing semi-meanders, ways of arranging a semi-infinite curve in the plane so that it crosses a straight line seven times.A000682 Semi-meanders: number of ways a semi-infinite directed curve can cross a straight line n times There are 174 invertible (0,1)-matrices.A055165 Number of invertible n X n matrices with entries equal to 0 or 1 Živković Miodrag math/0511636 10.1016/j.laa.2005.10.010 1 Linear Algebra and Its Applications 2209249 310–346 Classification of small (0,1) matrices 414 2006 There are also 174 combinatorially distinct ways of subdividing a topological cuboid into a mesh of tetrahedra, without adding extra vertices, although not all can be represented geometrically by flat-sided polyhedra. Pellerin Jeanne Verhetsel Kilian Remacle Jean-François 1801.01288 December 2018 10.1145/3272127.3275037 6 ACM Transactions on Graphics 1–9 There are 174 subdivisions of the hexahedron into tetrahedra 37 54136193 The Mordell curve has rank three, and 174 is the smallest positive integer for which has this rank. The corresponding number for curves is 113.A031508 Smallest k>0 such that the elliptic curve y^2 x^3 - k has rank n, if k exists Gebel J. Pethö A. Zimmer H. G. 10.1023/A:1000281602647 3 Compositio Mathematica 1602064 335–367 On Mordell's equation 110 1998 122592480 free See table, p. 352. See also 174 References 1 Category:Integers