Any limit of regular ordinals is a limit of initial ordinals and thus is also initial but need not be regular.

Any two regular curves are locally isometric.

Any polygon, regular or irregular, self-intersecting or simple, has as many corners as it has sides.

Another favourite was Kenneth Williams ' country character, Arthur Fallowfield, who was based on Dorset farmer Ralph Wightman, a regular contributor to the BBC radio programme " Any Questions?

Any payments from the trust must be made to regular investors in precedence to this interest.

She also made regular appearances on the long-running ( 1948 to date ) BBC radio series Any Questions ?, on the radio panel game Many a Slip and on the women's discussion series The Petticoat Line.

Any other surviving players that use the regular hole are also allowed to proceed to the Mystery hole.

In August 2002, this position was codified ( after being recognized as the existing status quo ) by the USCF Policy Board with the passage of a motion stating " Any USCF member who has had a regular post tournament rating of 2200 or higher ( published or not ) has demonstrated a significant level of chess ability and is recognized by being automatically awarded the lifetime title of National Master.

With calls by students to occupy the UC Berkeley campus, Chancellor Birgeneau sent a letter, dated November 7, 2011, to the campus community stating " Any activities such as pulling fire alarms, occupying buildings, setting up encampments, graffiti, or other destructive actions that disrupt with anyone's ability to conduct regular activities -- go to class, study, carry out their research, etc.

Any skateboard can be used for long distance journeys, however, decks designed specifically for long distance trips are typically lower to the ground than regular top mounted longboards.

Any surviving Greek troops, whether regular Byzantine forces, local militia, or mercenaries had either to join the Ottoman army as janissaries, serve in the private army of a local Ottoman notable, or fend for themselves.

Any citizen can become a member of the GGB, independent of sex, gender, sexual orientation, gender identity or expression, race or ethnicity, religion, or political ideology: the GGB presently has 500 regular members.

Any driver with that regular number would use # 03 instead.

Any infected telepath would quickly die without regular doses of the antidote they had also created.

* Any points in excess of those needed to complete a level requiring a certain number of points to advance, are scored as bonus points ( in addition to being counted in the regular total ).

Any residual matter should be metabolized in the course of the subsequent healing process, generally aided by regular appliance of dry heat.

Any bodies orbiting the pulsar will cause regular changes in its pulsation.

Any function in the library can be executed from a regular BASIC program by using GOTO " LIB0: NNNN " where NNNN is the function number ( e. g. 5010 for prime factorization ).

Any game in the knockout stage that was undecided by the end of the regular 90 minutes, was followed by up to thirty minutes of extra time ( two fifteen minute halves ).

Any physical contact would require Shi ' as to undertake ritual purification before doing regular prayers.

" Any computer can sound just like his computer, but every line that we wrote for him, he typed in himself and we recorded with our microphones as if had come out of a regular mouth.

Any second order differential equation with three regular singular points can be converted to the hypergeometric differential equation by a change of variables.

Any potential acrimony between these different approaches was swiftly mitigated, however, and Burns became a regular Comixpedia columnist as well as a contributor to the Examiner.

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.

Any market structure characterized by a downward sloping demand curve has market power – monopoly, monopolistic competition and oligopoly.

Any point on the frontier curve is Pareto efficient.

Any curve on the sphere that does not intersect either pole, except possibly at the endpoints, can be parametrized by

Any non-singular curve on a smooth surface will have its tangent vector T lying in the tangent plane of the surface orthogonal

According to the historian of science Norwood Russell Hanson: There is no bilaterally-symmetrical, nor excentrically-periodic curve used in any branch of astrophysics or observational astronomy which could not be smoothly plotted as the resultant motion of a point turning within a constellation of epicycles, finite in number, revolving around a fixed deferent. Any path — periodic or not, closed or open — can be represented with an infinite number of epicycles.

Any elliptic curve in Edwards form has a point of order 4.

Any timelike curve admits a comoving observer whose " time axis " corresponds to that curve, and, since no observer is privileged, we can always find a local coordinate system in which lightcones are inclined at 45 degrees to the time axis.

Any continuous curve connecting the origin z

Any conic section defined over F with a rational point in F is a rational curve.

Any such change would have no effect on the shape of the SRVC curve and therefore its slope at any point-MC.

Any continuous deformation of the curve above is also considered a trefoil knot.

Any velocity can be interpreted as the slope of a curve ; in geometric units, slopes are evidently dimensionless ratios.

Any time we choose a point that is rejected, we tighten the envelope with another line segment that is tangent to the curve at the point with the same x-coordinate as the chosen point.

Any deviations from a smooth curve will cause the airflow over the leeward side of the sail to separate causing a reduction in lift and reduced performance.

Any Walrasian equilibrium lies on the contract curve.

Any such surface is the Kummer variety of the Jacobian of a smooth hyperelliptic curve of genus 2 ; i. e. a quotient of the Jacobian by the Kummer involution x ↦ − x.

Any curve on a del Pezzo surface has self intersection number at least − 1.

Any curve on a weak del Pezzo surface has self intersection number at least − 2.

Any finite graph has a finite ( though perhaps exponential ) number of distinct simple cycles, and if the graph is embedded into three-dimensional space then each of these cycles forms a simple closed curve.

Any closed curve within the plane bounds a disk below the plane that does not pass through any other graph feature, and any closed curve through the apex bounds a disk above the plane that does not pass through any other graph feature.