Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.

A returning boomerang has two or more airfoil wings arranged so that the spinning creates unbalanced aerodynamic forces that curve its path so that it travels in an elliptical path and returns to its point of origin when thrown correctly.

Any young player who has good control will become a successful curve pitcher long before the pitcher who is endeavoring to master both curves and control at the same time.

The curve has a U-like shape, superficially similar in appearance to a parabola ( though mathematically quite different ).

In this case, the curve has vertical asymptotes and this limits the span to πc.

By banking the curve, the force exerted upon the car in a direction normal to the road surface has a horizontal component that provides this centripetal force.

The term " low ceiling diuretic " is used to indicate that a diuretic has a rapidly flattening dose effect curve ( in contrast to " high ceiling ", where the relationship is close to linear ).

It has been noted that this dimensional requirement is not met by fractal space-filling curves such as the Hilbert curve.

This means that the oxygen binding curve for fetal hemoglobin is left-shifted ( i. e., a higher percentage of hemoglobin has oxygen bound to it at lower oxygen tension ), in comparison to that of adult hemoglobin.

The forgetting curve describes the exponential loss of information that one has learned.

alt = The image shows a double cone in which a geometrical plane has sliced off parts of the top and bottom half ; the boundary curve of the slice on the cone is the hyperbola.

The points on the two branches that are closest to each other are called the vertices ; they are the points where the curve has its smallest radius of curvature.

It honors Robinson with large quotations spanning the inner curve of the facade and features a large freestanding statue of his number, 42, which has become an attraction in itself.

The nihonto as we know it today with its deep, graceful curve has its origin in shinogi-zukuri ( single-edged blade with ridgeline ) tachi which were developed sometime around the middle of the Heian period to service the need of the growing military class.

However, a turbine's power output and efficiency both drop dramatically with rotational speed, unlike a piston engine, which has a comparatively flat power curve.

Other coins using a curve of constant width include the 7-sided British twenty pence and fifty pence coins ( the latter of which has similar size and value to the loonie, but is silver in colour ).

A PC company has a perfectly elastic demand curve.

The most significant distinction between a PC company and a monopoly is that the monopoly has a downward-sloping demand curve rather than the " perceived " perfectly elastic curve of the PC company.

The fact that a monopoly has a downward-sloping demand curve means that the relationship between total revenue and output for a monopoly is much different than that of competitive companies.

A competitive company has a perfectly elastic demand curve meaning that total revenue is proportional to output.

A monopoly has a negatively sloped demand curve, not a perfectly inelastic curve.

Perfect competition is the only market form in which price discrimination would be impossible ( a perfectly competitive company has a perfectly elastic demand curve and has zero market power ).

But if no two lines of the regulus of multiple secants of **zg can intersect, then the regulus must be quadratic, or in other words, **zg must be either a Af or a Af curve on a nonsingular quadric surface.

Continuing with the case in which **zg is a Af curve on a quadric Q, we first observe that the second regulus of Q consists precisely of the lines which join the two free intersections of **zg and the planes through any one of the multiple secants.

In three dimensions, a single equation usually gives a surface, and a curve must be specified as the intersection of two surfaces ( see below ), or as a system of parametric equations.

More generally, one curve is a curvilinear asymptote of another ( as opposed to a linear asymptote ) if the distance between the two curves tends to zero as they tend to infinity, although usually the term asymptote by itself is reserved for linear asymptotes.

If not, the curve is subdivided parametrically into two segments, 0 ≤ t ≤ 0. 5 and 0. 5 ≤ t ≤ 1, and the same procedure is applied recursively to each half.

Given points P < sub > 0 </ sub > and P < sub > 1 </ sub >, a linear Bézier curve is simply a straight line between those two points.

Writing B < sub > P < sub > i </ sub >, P < sub > j </ sub >, P < sub > k </ sub ></ sub >( t ) for the quadratic Bézier curve defined by points P < sub > i </ sub >, P < sub > j </ sub >, and P < sub > k </ sub >, the cubic Bézier curve can be defined as a linear combination of two quadratic Bézier curves:

A recursive definition for the Bézier curve of degree n expresses it as a point-to-point linear combination of a pair of corresponding points in two Bézier curves of degree n − 1.

* A curve can be split at any point into two subcurves, or into arbitrarily many subcurves, each of which is also a Bézier curve.

This situation arises for all homonuclear diatomic molecules and is particularly a problem for F < sub > 2 </ sub >, where the minimum energy of the curve with molecular orbital theory is still higher in energy than the energy of two F atoms.

* Chord ( geometry ), a line segment joining two points on a curve

In the transition between two positions the diver may for example bend their legs or curve at the waist, and points will not be deducted for doing so.

The slope of the curve at a point on it gives the trade-off between the two goods.

In the case of the curve the asymptotes are the two coordinate axes.

The example of a space-filling curve shows that you can even take one real number into two continuously, so that a one-dimensional object can completely fill up a higher dimensional object.

A line integral is defined for functions of two or three variables, and the interval of integration is replaced by a certain curve connecting two points on the plane or in the space.

Up to reversal of the orientation of a simple closed curve, if it lies within one of the two crosscaps that make up the Klein bottle, then it is in homology class ( 1, 0 ) or ( 1, 1 ); if it cuts the Klein bottle into two Möbius bands, then it is in homology class ( 2, 0 ); if it cuts the Klein bottle into an annulus, then it is in homology class ( 0, 1 ); and if bounds a disk, then it is in homology class ( 0, 0 ).

If the positions of the two synchronized stations are known, then the position of the receiver can be determined as being somewhere on a particular hyperbolic curve where the time difference between the received signals is constant.

Given two secondary stations, the time difference ( TD ) between the primary and first secondary identifies one curve, and the time difference between the primary and second secondary identifies another curve, the intersections of which will determine a geographic point in relation to the position of the three stations.