correct.

The term convex function is used in mathematics. It is used to define an interval where the line segment between two points is above the graph, this can both be downward or upward.

A C1 convex function is a type of convex function that is continuously differentiable, meaning it has a continuous first derivative. In mathematical terms, a function ( f: \mathbb{R}^n \to \mathbb{R} ) is convex if for any two points ( x, y ) in its domain and any ( \lambda ) in the interval [0, 1], the following holds: ( f(\lambda x + (1 - \lambda)y) \leq \lambda f(x) + (1 - \lambda)f(y) ). Additionally, the existence of a continuous first derivative ensures that the slope of the function does not have abrupt changes, maintaining the "smoothness" of its graph.

Convex function on an open set has no more than one minimum. In demand it shows the elasticity is linear after some point and non linear on other points.

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.

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.

a polygon is convex

Consider 2 convex functions g(x) and f(x).

Using property of second derivative test we have:

g(x)'' > 0 and f(x)'' > 0.

We are interested in showing that y(x) = g(x) + f(x) is also convex.

y(x)'' = c*g(x)'' + k*f(x)'', where c and k are positive numbers (where is no convex function those coeficients after diferentiation will give you negative numbers).

Because c, g(x)'', k, f(x)'' are > 0 , we get y(x)'' also >0, hence y(x) is a convex function.

A non convex is a concave and a convex is differently shaped

projector have concave or convex

the union of two convex sets need not be a convex set.

convex

A convex polygon.

I suspect that what you mean is a convex polygon.

"Convex" is an adjective.

A trapezoid is convex.

yes a triangle is a convex

convex

convex

What is the sum of the measures of the angles of a convex quadrilateralwill this property hold if the quadrilateral is not convex?

It is a ridiculously large number that has nearly 1700 digits.

It can be approximated (logarithmically) as 4.58 x 101687 .

convex.

convex molding.

convex

It's convex

Convex

John J. Convex

It can be convex or concave.

Yes. Because convex lens produce real image.. so Fish eye has convex lens

A convex polygon is one with no angle greater than 180 degrees.

A non-convex polygon is one that is not without such an angle.

convex and concave

i think they have convex lenses

It depends on convex WHAT!

is this a polygon? is it concaver or convex

A magnifying glass is convex.

The answer is both convex and converging

To buy and sell freely. It is also assumed that they their capabilities are symmetric and their preferences are convex.

The human eye has a double convex lens in the cornea (outermost layer) and a bi-convex lens in the crystalline lens inside the eye.

A convex shape is a shape that is pushing out like a house -> /\ <-

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900 degrees. And it does not have to be convex.

convex mirror

how many sides convex quadilaterals have

convex lenses are for short sighted people.

Convex lens curve outwards.

A convex lens magnifies.

Objective lenses are convex lenses.

Flashlights typically have a convex lens. A convex lens is thicker in the middle and thinner at the edges, which helps to converge the light rays and create a focused beam.

Take any two points on or inside a body. If every point on the straight line joining the two points lies within the shape, then it is convex. If not, it is non-convex.

Convex is an adjective that describes something has a surface or boundary that curves or bulges outward. Convex lens are thicker at the center, they do cause light to converge.

Microscopes primarily use convex lenses. Convex lenses converge light rays to create a magnified image. There are also compound microscopes that incorporate both convex and concave lenses to enhance the quality of the image.

A convex slope refers to a curve or surface that is curved outward, resembling the shape of a bowl or a dome. In mathematical terms, a function is said to be convex if the line segment connecting any two points on the curve lies above or on the curve itself. This property indicates that the slope of the tangent line increases as one moves along the curve, which is often used in optimization problems to find minimum values. Convex slopes are significant in various fields, including economics, engineering, and machine learning, where they help in modeling and analysis.