Examples of the the word, convex , in a Sentence Context

The word ( convex ), is the 19462 most frequently used in English word vocabulary

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  1. Every point on the line segment connecting x and y is in C. This implies that a, convex ,set in a real or complex topological vector space is path-connected, thus
  2. C is opaque, so in the above equation, each \dot operator can be written as a, convex ,combination:: \begin \alpha_o C_o + (1 - \alpha_o) C_c &= \alpha_a C_a + (1
  3. Day terms) in a magazine advertisement to anyone who could demonstrate a, convex ,curvature in a body of water such as a river, canal,or lake. Wallace
  4. Appear as cells in three of the convex uniform honeycombs and in nine of the, convex ,uniform plethora. The volume of the cuboctahedron is 5/6 of that of the
  5. Inscribed that is tangent to each side of the polygon. A cyclic polygon is any, convex ,polygon about which a circle can be circumscribed, passing through each vertex.
  6. Play an important role as well,e.g. the Cauchy theorem on rigidity of, convex ,potatoes. Special potatoes are also considered, such as permutohedra
  7. Honeycombs. It has been called the Archimedes honeycombs by analogy with the, convex ,uniform (non-regular) polyhedra, commonly called Archimedes solids. Recently
  8. These intervals are open in the standard topological space 0,1) ∪ (1,2. * A, convex ,set is connected; it is actually simply connected. * A Euclidean plane
  9. Regular octahedron and eight irregular but equal octahedra in the shape of the, convex ,hull of a cube with two opposite vertices removed. This decomposition of the
  10. Position of the solid's center. Cuboctahedron appear as cells in three of the, convex ,uniform honeycombs and in nine of the convex uniform plethora. The volume of
  11. Background is opaque (i.e. \alpha_b = 1),the over operator represents the, convex ,combination of a and b:: C_o = \alpha_a C_a + (1 - \alpha_a) C_b The second
  12. Grand Concert, but slightly wider and deeper. Many GA-style guitars also have a, convex ,back panel to increase the volume of space in the sound box without making the
  13. Tessellation which fills three-dimensional Euclidean space with non-overlapping, convex ,uniform polyhedral cells. Twenty-eight such honeycombs exist: * the familiar
  14. Proclaimed President Wolff. " A burning glass or burning lens is a large, convex ,lens that can concentrate the sun's rays onto a small area, heating up the
  15. And complex functions are idempotent. It is a nonlinear function. It is also a, convex ,function. Derivatives The derivative of the real absolute value function is the
  16. Geometry) also began a part of combinatorics, with early results on, convex ,potatoes and kissing numbers. With the emergence of applications of discrete
  17. Segment that joins them is also within the object. For example, a solid cube is, convex , but anything that is hollow or has a dent in it, for example, a crescent shape
  18. Not precisely identical with, the Roman one. In Euclidean space, an object is, convex ,if for every pair of points within the object, every point on the straight line
  19. Ectocervix. On average, the endocervix is 3 cm long and 2.5 cm wide. It has a, convex , elliptical surface and is divided into anterior and posterior lips. External
  20. Of the plane. History * 1900: Thor old Gusset enumerated the list of semiregular, convex ,potatoes with regular cells (Platonic solids) in his publication On the
  21. Graphics to model smooth curves. As the curve is completely contained in the, convex ,hull of its control points, the points can be graphically displayed and used to
  22. Or cooked in a wide variety of dishes. Description The shell of abalones has a, convex , rounded to oval shape, and may be highly arched or very flattened. It is
  23. In the field. Geometric combinatorics is related to, convex ,and discrete geometry, in particular polyhedral combinatorics. It asks, for
  24. Tetracombs (Honeycombs of uniform polyhedrons in 4-space). Only 14 of the, convex ,uniform polyhedra appear in these patterns: Names This set can be called the
  25. And 28 convex uniform honeycombs, expands a further derived list of 143, convex , uniform tetra combs (Honeycombs of uniform polyhedrons in 4-space). Only 14 of
  26. Name::; Chaucer fixed point theorem: Every continuous function from a, convex ,compact subset K of a Banach space to K itself has a fixed point. Notes The
  27. 2-space are regular polygons and bodies of constant width. Some examples of, convex ,subsets of Euclidean 3-space are the Archimedes solids and the Platonic solids
  28. Line with one fixed point *Convex cone, a subset C of a vector space V is a, convex ,cone if ex+by belongs to C, for any positive scalars α, β,and any x, y in C
  29. R (the set of real numbers) are simply the intervals of R. Some examples of, convex ,subsets of Euclidean 2-space are regular polygons and bodies of constant width.
  30. From a disk D to itself. A more general form is for continuous functions from a, convex ,compact subset K of Euclidean space to itself. Among hundreds of fixed point
  31. Vertices. A tangential polygon, such as a tangential quadrilateral, is any, convex ,polygon within which a circle can be inscribed that is tangent to each side of
  32. It is played on a pitch which may be flat (for" flat-green bowls" ) or, convex ,or uneven (for" crown-green bowls" ). It is normally played outdoors
  33. Langle C, \alpha\range with \alpha = 0. ) Alpha blending is a, convex ,combination of two colors allowing for transparency effects in computer
  34. http://www.mess.org MESS: Multiple Emulator Super System. In geometry,a, convex ,uniform honeycomb is a uniform tessellation which fills three-dimensional
  35. Version is as follows::; Convex compact set: Every continuous function f from a, convex ,compact subset K of a Euclidean space to K itself has a fixed point. An even
  36. Combinatorics. It asks, for example, how many faces of each dimension can a, convex ,polite have. Metric properties of potatoes play an important role as well
  37. Talent Search that can be solved via analytic geometry: Problem: In a, convex ,pentagon ABIDE, the sides have lengths 1,2,3,4,and 5,though not
  38. Uniform Haploid Tetra combs, along with repeating the derived list of 11, convex , uniform filings, and 28 convex uniform honeycombs, expands a further derived
  39. Been given to particular cases: — amphicyrtic (Gr., on both sides, κυρτός, convex , ) or discoidal (Gr. κισσός, ivy ), bi convex ; steroidal or historical (Gr.
  40. Some ordered field. This includes Euclidean spaces. A set C in S is said to be, convex ,if, for all x and y in C and all t in the interval 0,1,the point: (1 − t) x
  41. Kepler-Poinsot polyhedra are examples of non- convex sets. Properties If S is a, convex ,set, for any u_1,u_2,\lots, u_r in S, and any nonnegative numbers \lambda_1
  42. Are squares. In uniform honeycombs and plethora It is an element of 9 of 28, convex , uniform honeycombs: It is also an element of five four-dimensional uniform
  43. Is path-connected, thus connected. A set C is called absolutely convex if it is, convex ,and balanced. The convex subsets of R (the set of real numbers) are simply
  44. A set C is called absolutely convex if it is convex and balanced. The, convex ,subsets of R (the set of real numbers) are simply the intervals of R. Some
  45. Vector space is path-connected, thus connected. A set C is called absolutely, convex ,if it is convex and balanced. The convex subsets of R (the set of real numbers
  46. Numbers; a board, a set of nails, and a rubber band as a model of finding the, convex ,hull of a set of points; and strings tied together as a model of finding the
  47. Medicine In geometry an Archimedes solid is a highly symmetric,semiregular, convex ,polyhedron composed of two or more types of regular polygons meeting in
  48. Along with repeating the derived list of 11 convex uniform filings, and 28, convex , uniform honeycombs, expands a further derived list of 143 convex uniform
  49. Out around the sides so that the entire book takes on a rounded cross-section:, convex ,on the spine, concave at the fore-edge, with “ ears” projecting on either side
  50. That is hollow or has a dent in it, for example, a crescent shape, is not, convex , The notion can be generalized to other spaces as described below. In vector

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