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Is a circle a convex set?
no
Is A union B a convex set?
yes
Region enclosed by a circle a convex set?
Yes.
Is a ploygon convex or not convex?
a polygon is convex
Intersection of two convex set is convex?
The proof of this theorem is by contradiction. Suppose for convex sets S and T there are elements a and b such that a and b both belong to S∩T, i.e., a belongs to S and T and b belongs to S and T and there is a point c on the straight line between a and b that does not belong to S∩T. This would mean that c does not belong to one of the sets S or T or both. For whichever set c does not belong to this is a contradiction of that set's convexity, contrary to assumption. Thus no such c and a and b can exist and hence S∩T is convex.
Is the union of two convex sets a non-convex set?
the union of two convex sets need not be a convex set.
Is a circle a convex set?
no
How many ray diagrams are formed by convex mirror?
6
Is A union B a convex set?
yes
What is mild convex thoracic scoliosis?
A mild convex right thoracic scoliosis is when the spine is curved toward the right. It can be seen on an x-ray of the spine.
Is an empty half plane still a convex set?
The answer depends on how it is halved. If the plane is divided in two by a step graph (a zig-zag line) then it will not be a convex set.
What are convex polygons?
A convex polygon is one with no reflex angles (angles that measure more than 180 degrees when viewed from inside the polygon). More generally a convex set is on where a straight line between any two points in the set lies completely within the set.
Region enclosed by a circle a convex set?
Yes.
What is mild convex right thoracic scoliosis?
A mild convex right thoracic scoliosis is when the spine is curved toward the right. It can be seen on an x-ray of the spine.
How incident ray are refracted by a convex mirror?
A convex mirror does not refract light; it reflects it. When an incident ray strikes a convex mirror, it reflects back in a way that obeys the law of reflection—angle of incidence equals angle of reflection. This creates a virtual image that appears behind the mirror.
Two lines with intersection is the empty set?
It can be if the set consists of convex shapes, for example.
If production set is convex then production function is concave?
correct.
