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What else can I help you with?
Is a circle a convex set?
no
What is the face of a circle?
Strictly speaking a circle has no face since it is only a set of points, not the area enclosed by that set of points.
Is A union B a convex set?
yes
Is a ray a convex set?
no, because it should be a segment .
What is the region of a graph?
The region of a graph refers to the area enclosed or defined by the boundaries of the graph, which can be determined by the plotted points, lines, or curves. In mathematical terms, it often represents the set of all points that satisfy a particular inequality or condition. For example, in a coordinate plane, the region may include all points that lie above a certain line or within a specific shape, such as a circle or polygon. Understanding the region helps in visualizing solutions to equations or inequalities in various mathematical contexts.
Is a circle a convex set?
no
Is Feasible region is necessary to be a convex set?
Yes, in optimization problems, the feasible region must be a convex set to ensure that the objective function has a unique optimal solution. This is because convex sets have certain properties that guarantee the existence of a single optimum within the feasible region.
What is the face of a circle?
Strictly speaking a circle has no face since it is only a set of points, not the area enclosed by that set of points.
Definition of circular region of circle?
the set f all points of the plane which lie either on the circle or inside the circle form the circular region
Is the union of two convex sets a non-convex set?
the union of two convex sets need not be a convex set.
Which symbol indicates that the enclosed members are a set?
Parenthesis indicate that the enclosed members are a set. The brackets indicate that what enclosed Êinside of itÊis an option.
What is meaning of the convex?
Convex refers to a shape or surface that curves outward like the exterior of a circle. In mathematics, it describes a set where any line segment connecting two points within the set lies completely within the set. Convexity is often used in optimization and geometry to simplify problem-solving.
Is A union B a convex set?
yes
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.
Is a ray a convex set?
no, because it should be a segment .
What is the region of a graph?
The region of a graph refers to the area enclosed or defined by the boundaries of the graph, which can be determined by the plotted points, lines, or curves. In mathematical terms, it often represents the set of all points that satisfy a particular inequality or condition. For example, in a coordinate plane, the region may include all points that lie above a certain line or within a specific shape, such as a circle or polygon. Understanding the region helps in visualizing solutions to equations or inequalities in various mathematical contexts.
