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Convex curve


Any straight line L divides the Euclidean plane to two half-planes whose union is the entire plane and whose ...

What is the difference between Concave and Convex?


2 a of a set of points : containing all points in a line joining any two constituent points b of a geometric figure : comprising a convex set when combined with its ...

Convex | Definition of Convex by Merriam-Webster


Define convex: having a shape like the outside of a bowl : curving outward ... of a continuous function with the property that a line joining any two points on its ...

Concave Upward and Downward - Math is Fun


What about when the slope stays the same (straight line)? It could be both! ... Concave Downward is also called Concave or Convex Upward. Concave Upward ...

Gurney Journey: Discussion: Convex lines and the figure


Jan 27, 2013 ... I have run across the idea that the human form should be drawn only with convex lines because "there are no concave lines in the figure.

When Is a Set of Lines in Space Convex? - American Mathematical ...


The Definition of a Convex Set. In Rd, a set S of points is convex if the line seg- ment joining any two points of S lies completely within S (Figure 1). The purpose  ...

Geometry Concepts: Line Intersection and its Applications – topcoder


A convex hull of a set of points is the smallest convex polygon that contains every one of the points. It is defined by a subset of all ...

geometry - Convex hull of parallel lines - Stack Overflow


Your idea is exactly correct. One way to accomplish this is to define a vector v along your viewing direction, and then rotate v to the z-axis. The same ...

The Shortest Curve that Meets all the Lines that Meet a Convex Body


What is the shortest curve that meets all the lines that meet a given circle? ... 3-9 for various convex sets C (lengths shown are percentages of the length of the.

Convex Hulls for Random Lines - ScienceDirect


Consider n i.i.d. random lines in the plane defined by their slope and distance from the origin. The slope is uniformly distributed on [0, 2π] and independent of the ...

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Is linear function convex or concave? - Mathematics Stack Exchange


Dec 18, 2013 ... I was wondering if linear function is convex or concave? ... take any two points on the graph... where would be the line joining those two points ...

3.1 Concave and convex functions of a single variable - mjo


Symmetrically, a function of a single variable is convex if every line segment joining two points on its graph does not lie below the graph at any point.

Separating convex sets by straight lines


Separating convex sets by straight lines. J anos Pach 1 and G abor Tardos. 2. Courant Institute, New York University and. R enyi Institute, Hungarian Academy.