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What else can I help you with?
What does mean convex to the origin?
A set is said to be convex with respect to the origin if the line segment between any two points in the set lies entirely within the set. In simpler terms, for any two points within the set, all the points on the line joining them are also within the set.
Why is it that If production set is convex then production function is concave?
If the production set is convex, it means that any combination of inputs that produces a certain level of output can be formed by a convex combination of other input combinations. This implies that the production function exhibits diminishing returns to scale, leading to concavity. This concavity arises because as more units of an input are added, the incremental increase in output becomes smaller.
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.
Can a convex mirror produce real images?
Yes, but it can be hard to arrange. You need to set up a real image as a virtual object, and make the convex mirror image that. If the rays converge strongly enough, they will still converge after reflecting off the convex mirror.
Why should you not look at the sun through a convex lens?
Focused sunlight is very strong, and can set fire to paper, as well as destroying your vision if you were so foolish as to look at the sun through a convex lens. Even without the use of a lens, it is not safe to look directly at the sun.
Region enclosed by a circle a convex set?
Yes.
What is the set of values that solve a system of equations called?
Depending on the context, the "feasible region" or "solution set".
Is the union of two convex sets a non-convex set?
the union of two convex sets need not be a convex set.
Is the set of all ordered pairs of real numbers that satisfy the system?
The feasible region is one possible anwer to this incomplete question.
Is a circle a convex set?
no
What is the minimum value of 2x 2y in the feasible region?
To find the minimum value of (2x + 2y) in a feasible region, you typically need to know the constraints that define that region. If you have a specific set of inequalities or constraints, you can apply methods like the corner point theorem or linear programming techniques to evaluate the objective function at the vertices of the feasible region. Without specific constraints, it's impossible to determine the minimum value accurately. If you provide the constraints, I can assist you further in finding the minimum.
What is the minimum value of 6x 10y in the feasible region?
To find the minimum value of the expression (6x + 10y) in a feasible region, you need to identify the constraints defining that region. Typically, the minimum occurs at one of the vertices of the feasible set formed by these constraints. By evaluating the objective function (6x + 10y) at each vertex, you can determine which one gives the lowest output, thus identifying the minimum value. If you provide the specific constraints, I can help you find the exact minimum.
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 .
Two lines with intersection is the empty set?
It can be if the set consists of convex shapes, for example.
