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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 ...

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 ...

### 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 ...