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Convex function

en.wikipedia.org/wiki/Convex_function

In mathematics, a real-valued function defined on an interval is called convex if the line segment between any two points on the graph of the function lies above ...

What is the difference between Concave and Convex

www.rustycode.com/tutorials/convex.html

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 ...

Concave Upward and Downward - Math is Fun

www.mathsisfun.com/calculus/concave-up-down-convex.html

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 ...

Convex | Definition of Convex by Merriam-Webster

www.merriam-webster.com/dictionary/convex

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 ...

Gurney Journey: Discussion: Convex lines and the figure

gurneyjourney.blogspot.com/2013/01/discussion-convex-lines-and-figure.html

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 ...

www.ams.org/notices/199802/goodman.pdf

tic features of a convex set of points is that it is connected. Yet we can show: Theorem 1 [8]. There is no notion of convexity for lines or higher-dimensional flats  ...

A Study of Convex Functions with Applications Matthew Liedtke May ...

www.whitman.edu/Documents/Academics/Mathematics/Liedtke.pdf

May 14, 2012 ... nate because the simple generalization to a convex function greatly .... convex on I if and only if the graph of f lies below its secant lines on I.

Convex hull trick - PEGWiki

wcipeg.com/wiki/Convex_hull_trick

As we have seen, if the set of relevant lines has already been determined and sorted, it becomes trivial to answer any query in ...

geometry - Convex hull of parallel lines - Stack Overflow

stackoverflow.com/questions/17729784/convex-hull-of-parallel-lines

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 ...

geometry - How to test if a line intersects a convex polygon? - Stack ...

stackoverflow.com/questions/29687582/how-to-test-if-a-line-intersects-a-convex-polygon

For the 2D case, I think the problem simplifies a bit. The line partitions the space into two regions. If the polygon is present in only one of those regions ...

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3.1 Concave and convex functions of a single variable - mjo

mjo.osborne.economics.utoronto.ca

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.

Is linear function convex or concave? - Mathematics Stack Exchange

math.stackexchange.com

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 ...

Geometry Concepts: Line Intersection and its Applications – topcoder

www.topcoder.com

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 ...