For sixth-order moments there are 3 × 5

The smallest ( sixth-order ) has a focal length of 150 mm ( 5. 9 in ) and an optical area 433 mm ( 17 in ) high.

The basal plane anisotropy is determined by the third term, which is sixth-order.

Holdings in the museum document the area's long and distinguished cultural and nautical history, and exhibits include a sixth-order Fresnel lens.

There are two types of such intersections, depending essentially on whether the curves cross at the point of intersection.

The fact that there can not be any limit points of the set except in closed intervals follows from the argument used in Lemma 1, namely, that near any tangent point in the C-plane the curves C and Af are analytic, and therefore the difference between them must be a monotone function in some neighborhood on either side of the tangent point.

Moreover, if Af and Af are two planes intersecting in a line l, tangent to Q at a point P, the two free intersections of the image curves Af and Af must coincide at P', the image of P, and at this point Af and Af must have a common tangent l'.

Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.

The isotherms are the red curves and the adiabats are the black curves.

Plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves and quartic curves like lemniscates, and Cassini ovals, are some of the most studied classes of algebraic varieties.

He further developed relations between the abscissas and the corresponding ordinates that are equivalent to rhetorical equations of curves.

For curves given by the graph of a function, horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to Vertical asymptotes are vertical lines near which the function grows without bound.

The asymptotes most commonly encountered in the study of calculus are of curves of the form.

Tram bogies are much simpler in design because of their axle load, and the tighter curves found on tramways mean tram bogies almost never have more than two axles.

Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case.

In vector graphics, Bézier curves are used to model smooth curves that can be scaled indefinitely.

" Paths ," as they are commonly referred to in image manipulation programs, are combinations of linked Bézier curves.

Bézier curves are also used in animation as a tool to control motion.

Bézier curves are also used in the time domain, particularly in animation and interface design, e. g., a Bézier curve can be used to specify the velocity over time of an object such as an icon moving from A to B, rather than simply moving at a fixed number of pixels per step.

Quantities like are sometimes called ' curve differentials ', because they are measured along curves in the surface.

The Westside, roughly located north, west, and south of the Grand River as it curves through the city, is sometimes regarded the city's most socio-economically diverse section.

In complex analysis, a field in mathematics, the residue theorem, sometimes called Cauchy's residue theorem ( one of many things named after Augustin-Louis Cauchy ), is a powerful tool to evaluate line integrals of analytic functions over closed curves ; it can often be used to compute real integrals as well.

It is sometimes worn 22 – 23 hours a day, depending on the doctor's prescription, and applies pressure on the curves in the spine.

Roller coasters feature steep drops, sharp curves, and sometimes loops.

In typical applications, the window functions used are non-negative smooth " bell-shaped " curves, though rectangle, triangle, and other functions are sometimes used.

The Levi-Civita connection ( like any affine connection ) also defines a derivative along curves, sometimes denoted by D.

It arises from the lateral branch of the ventral ramus of the second cervical nerve, sometimes also from the third ; it curves around and ascends along the posterior border of the Sternocleidomastoideus.

The terms dynamic envelope or kinematic envelope, which include factors such as suspension travel ; overhang on curves ( at both ends and middle ); and lateral motion on the track, are sometimes used in place of loading gauge.

Shin sometimes curves inwards.

Gypsum flowers most often exhibit simple twinning ( known as contact twins ); where parallel, long, needle-like crystals, sometimes having severe curves and bends, will frequently form “ ram ’ s horns ”, " fishtail ", " arrow / spear-head ", and " swallowtail " twins.

Resolving the 16 double points of the quotient of a ( possibly nonalgebraic ) torus by the Kummer involution gives a K3 surface with 16 disjoint rational curves ; these K3 surfaces are also sometimes called Kummer surfaces.

Its numerous curves are always changing and sometimes make for a difficult journey.

Because this overall design eliminated the " tetrode kink " in the lower parts of the tetrode's voltage-current characteristic curves ( which sometimes caused tetrode amplifiers to become unstable ), M-OV marketed this tube family as the " KT " series, standing for " kinkless tetrode ".

The tradeoff is sometimes mistakenly identified as occurring at the intersection of the marginal revenue curves for the competing segments.

Because this overall design eliminated the " tetrode kink " ( negative resistance ) in the lower parts of the tetrode's voltage-current characteristic curves, which sometimes caused tetrode amplifiers to become unstable, MOV ( Marconi-Osram Valve, a subsidiary of EMI jointly owned with General Electric Company plc ) marketed this tube family under the sobriquet " KT ", meaning " kinkless tetrode ".

* semicircular arches ( instead of Gothic pointed arches ) of doors and windows, sometimes consisting of three or more convex curves

The term " bipolar " is sometimes used to describe other curves having two singular points ( foci ), such as ellipses, hyperbolas, and Cassini ovals.

Sequences of strainers are sometimes used at powerlines crossing valleys, where often on both ends of the valley the pylons are powerlines, or where the powerline runs a path with curves.

This equivalence relation is sometimes called that of k-th order contact between curves at p.

When studying non-orientable manifolds, it is sometimes useful to allow fibers to have neighborhoods that look like the surface bundle of a reflection ( rather than a rotation ) of a disk, so that some fibers have neighborhoods looking like fibered Klein bottles, in which case there may be one-parameter families of exceptional curves.

The greater the number of curves that are tested the greater the chances of success, but the number needed ( on average, one can sometimes get lucky or unlucky ) increases rapidly with the size of factors.

The ends of the ribbons are sometimes formed into bows or twisted curves ; when in addition a group of foliage or flowers is suspended, it is called a drop or margent.