Families of curves may also arise in other areas.

Catanese found a 4-dimensional family of curves constructed like this.

Easily solve a family of curves with a list of initial values.

Elliptic curves, by their nature, are a family of curves.

The one-parameter family of curves will be given by the tangent lines to γ.

In mathematics, the outer boundary of a family of curves has been known since the mid-19th century as the envelope.

The geodesic flow defines a family of curves in the tangent bundle.

The families of curves on surfaces can be classified, in a sense, and give rise to much of their interesting geometry.

Further study into these problem cases revealed a new family of curves that became known as "strange", "weird" or chaotic attractors.

A numerical spreadsheet application has been developed to calculate the contour family of curves.

Both moduli stacks carry universal families of curves.

Sets of curves given by an implicit relation may also represent families of curves.

All other points flow along a certain family of curves, "away" from the first fixed point and "toward" the second fixed point.

There often is a family of curves, parameterized on the detection efficiency (or labeled as to specific nuclides).

A pseudoline is a family of curves that share similar topology properties with a line arrangement.; .

A family of curves is presented which generates viral die-off times for any groundwater temperature and wastewater quality.

In the early 1890s he published three famous papers, including one with the first use of the characteristic linear series of a family of curves.

The family of curves generated by this equation is shown in the graph presented at the bottom right-hand of the page.

Various combinations of coefficients in the above equation give rise to various important families of curves as listed below.

Thus, they belong to the family of curves called centered trochoids; more specifically, they are epitrochoids.

"In mathematics the envelope is the outer boundary of a related family of curves (see Attachment A)."

Instead one group produced an entire family of curves 'stitched' from straight lines and some rather neat sequences of numbers to describe each one.

In the mathematical area of topology, a train track is a family of curves embedded on a surface, meeting the following conditions:

In this book a new approach to the conic sections is introduced and a new definition is given for this family of curves.

Near points where the gradient of u (or, equivalently, v) is not zero, these families form an orthogonal family of curves.