Notice that the second condition in the definition itself refers to natural numbers, and hence involves self-reference.

However, with the appropriate reduction formula, every elliptic integral can be brought into a form that involves integrals over rational functions and the three Legendre canonical forms ( i. e. the elliptic integrals of the first, second and third kind ).

" This second case usually involves the town bully and mischief maker Bugs Meany, leader of a gang who call themselves the Tigers, who, after being foiled, will attempt revenge in the third mystery.

Faith involves more than outward obedience to this authority, but also must be based on a deep personal understanding of religious teachings. By faith is meant, first, conscious knowledge, and second, the practice of good deeds.

A second strategy, cracking, involves spreading out voters of a particular type among many districts in order to deny them a sufficiently large voting bloc in any particular district.

The second, more radical, adaptation involves the selective influx of potassium ( K < sup >+</ sup >) ions into the cytoplasm.

The second approach, a worker-oriented job analysis, involves an examination of the knowledge, skills, abilities, and other characteristics ( KSAOs ) required to successfully perform the work.

The first step, which carried him to the outbreak of the schism, involves moderate recognition of the papal primacy ; the second, which carried him to 1381, is marked by an estrangement from the papacy ; and the third shows him in sharp contest.

The Multiple Kick is usually done in the " second " style described in the Side Kick article which " involves shooting the leg forward as in a front kick and then pivoting and turning so " to actually deliver a side kick.

Money laundering often occurs in three steps: first, cash is introduced into the financial system by some means (" placement "), the second involves carrying out complex financial transactions in order to camouflage the illegal source (" layering "), and the final step entails acquiring wealth generated from the transactions of the illicit funds (" integration ").

The first is a ritual designed for the individual, which involves sacrificing a " Cake of Light " ( a type of bread that serves as the host ) to Ra ( i. e. the Sun ) and infusing a second Cake with the adept's own blood ( either real or symbolic, in a gesture reflecting the myth of the Pelican cutting its own breast to feed its young ) and then consuming it with the words, " There is no grace: there is no guilt: This is the Law: Do what thou wilt!

For example, is a polynomial, but is not, because its second term involves division by the variable x ( 4 / x ), and also because its third term contains an exponent that is not a non-negative integer ( 3 / 2 ).

" The second advantage involves a physiological reaction provoked by the large amount of muscle submerged.

The second involves a continuous record of population trends from the registration of births, marriages, and burials.

A second defense of vertebrates against viruses, cell-mediated immunity, involves immune cells known as T cells: the body's cells constantly display short fragments of their proteins on the cell's surface, and if a T cell recognizes a suspicious viral fragment there, the host cell is destroyed and the virus-specific T-cells proliferate.

The second method involves the reaction of benzophenone with sodium cyanide in the presence of ammonium carbonate, followed by the simultaneous cyclization of the resulting product ( carboxyaminonitrile ) and its rearrangement under the reaction conditions to form phenytoin.

A second category of tactics for fighting viruses involves encouraging the body's immune system to attack them, rather than attacking them directly.

Trace scheduling is such a technique, and involves scheduling the most likely path of basic blocks first, inserting compensation code to deal with speculative motions, scheduling the second most likely trace, and so on, until the schedule is complete.

The second exercise, " Falun Standing Stance ", involves holding four static poses — each of which resembles holding a wheel — for an extended period.

The second method involves construction of a vehicle frame from scratch ; formed and welded using steel tubing.

This second step of the BO approximation involves separation of vibrational, translational, and rotational motions.

The second classification, chemical weathering, involves the direct effect of atmospheric chemicals or biologically produced chemicals ( also known as biological weathering ) in the breakdown of rocks, soils and minerals.

Most of its series also employ are produced in the videotaped multi-camera setup that involves filming before a studio audience or utilizing a laugh track ; its multi-camera series also utilize a simulated film look ( the FilmLook image processing for series that debuted between 2003 and 2008 ; the HD-compatible ' filmizing ' technique for all newly-commissioned and returning original series produced in high definition after 2009, which reduce the videotape frame rate to 24 frames per second ).

: The second process that is referred to as androgenesis or androclinesis involves ( artificial ) culture of haploid plants from anther tissue or microspores.

`` Oh he's a second cousin or something.

The first can be either offensive or merely humorously deprecating with the second one generally used more often in the sense of something deliberately offensive.

The second, third and fourth paradoxes are variants of a single paradox and relate to the problem of what it means to " know " something and the identity of objects involved in an affirmation.

Brazil still won the game 1 – 0 – Jairzinho guided a shot past Banks in the second half – but England missed chances to get something, with Jeff Astle putting the ball wide of an open goal and Alan Ball striking the crossbar.

The term has gained popularity in the English-speaking world since the mid-twentieth century but currently there is no accepted opinion, nor a notable debate if a ' second order philosophy ' is, or could be, something different from ' plain philosophy '.

Concluding quickly that since a writ of mandamus, by definition, was the correct judicial means to order an official of the United States ( in this case, the Secretary of State ) to do something required of him ( in this case, deliver a commission ), Marshall devotes the remainder of his inquiry at the second part of the question: " Whether it writ can issue from this court.

During the second half of the 19th century, the armies of a number of nations besides Russia ( including Colombia, Chile, Mexico, Portugal, Norway, and Sweden ) adopted the Pickelhaube or something very similar.

will fail because the second call to ftos ( which converts a floating-point value to a string ) overwrites the string returned by the first call before SomeFunction can do something with it.

If the objects are indeterminate until one of them is measured, then the question becomes, " How can one account for something that was at one point indefinite with regard to its spin ( or whatever is in this case the subject of investigation ) suddenly becoming definite in that regard even though no physical interaction with the second object occurred, and, if the two objects are sufficiently far separated, could not even have had the time needed for such an interaction to proceed from the first to the second object?

Both orthographical variants, with and without the hyphen, are correct, but the hyphenated one has, in addition, a second meaning, not related to animation or cinema: " a device for automatically stopping a machine or engine when something has gone wrong " ( The New Shorter Oxford English Dictionary, 1993 edition ).

When two noun phrases follow a transitive verb, the first is an indirect object, that which is receiving something, and the second is a direct object, that being acted upon.

However, the three propositions have different domains: the first proposition says something about " Every object ", while the second says something about " Every raven ".

Ball agreed, but only if the scene could retain a line of Ricky's where he reflects on having once seen a dead homeless woman: " When you see something like that, it's like God is looking right at you, just for a second.

As changes in temperature or pressure can also affect the displacement of the manometric fluid, a second respirometer identical to the first except with a dead specimen ( or something with the same mass as the specimen in place of the organism ) is sometimes set up.

Although Riker was clean-shaven for the first season, he grew a mustache and beard at the start of the second season that later would become something of a trademark.

The < font color =" red "> second degree </ font > in miracles belongs to those whereby God does something that nature can do, but not in the same order: thus it is a work of nature that an animal live, see and walk: but that an animal live after being dead, see after being blind, walk after being lame, this nature cannot do, but God does these things sometimes by a miracle.

He tried to find something easier, so he " dropped the voice down ", and developed it into a more versatile and humorous voice during the second and third season of the half-hour show.

Charles Boot based his designs upon what were at the time the latest ideas being employed by other film studios in the production of movies at Hollywood, California, USA and Boot officially named their new studio Pinewood, because "... of the number of trees which grow there still contains huge pine trees and because it seemed to suggest something of the American film centre in its second syllable.

The key of the second subject may be something other than the dominant or the relative minor ( or relative major if the home key is minor ).

The Court of Appeal, when considering an application for appeal, may decide based on the paper documents or refer the case to an oral hearing, something often done when it is apparent that a refusal of the written case will lead the applicant to send a second, oral application.

I don't want to have to push for something that I want and have to settle for second best.

The " conditions " are a formula ( or several ) that represent reality, often something arising from a physical law like Newton's second law, the force-acceleration equation: