For other Shoemaker – Levy comets see List of periodic comets.

For example, it may go from having only periodic motions to apparently erratic behavior, as in the transition to turbulence of a fluid.

For example, the Ruelle – Takens scenario describes how a periodic orbit bifurcates into a torus and the torus into a strange attractor.

For example, periodic acid according to Kekuléan structure theory could be represented by the chain structure I-O-O-O-O-H. By contrast, the modern structure of ( meta ) periodic acid has all four oxygen atoms surrounding the iodine in a tetrahedral geometry.

For the first six periods of the periodic table, the noble gases are exactly the members of group 18 of the periodic table.

For this reason, it is characteristic of groups within which a given narrative circulates to react very negatively to claims or demonstrations of non-factuality ; an example would be the expressions of outrage by police officers who are told that adulteration of Halloween treats by strangers ( the subject of periodic moral panics ) is extremely rare, if it has occurred at all.

For an asymmetric wave ( periodic pulses in one direction, for example ), the peak amplitude becomes ambiguous.

For such reasons, some industrial UPS management systems recommend periodic replacement of entire battery arrays potentially using hundreds of expensive batteries, due to these damaging interactions between new batteries and old batteries, within and across series and parallel strings.

For example, at the microwave frequency, the microwave field causes the periodic rotation of water molecules, sufficient to break hydrogen bonds.

For example, the sine function is periodic with period 2π, since

For period 8, which includes elements which may be synthesized after 2011, see the extended periodic table.

** For horse-back riders there periodic events ( see their calendar of events ) and facilities include four horse rings and 140 stalls.

For its intended role as an updating system for SLBM launch, TRANSIT sufficed, since submarines took periodic fixes to re-set their inertial guidance system, but TRANSIT lacked the ability to provide high-speed, real-time position measurements.

For an income or payment stream with a different payment schedule, the interest rate must be converted into the relevant periodic interest rate.

For the Theodor Benfey who developed a spiral periodic table of the elements in 1964 -- Otto Theodor Benfey ( 1925-) -- see Alternative periodic tables.

For example, King Engel and his team discovered that prednisone could effectively treat myasthenia gravis and acetazolamide was shown to prevent periodic paralysis.

For fifteen years the western powers maintained a tenacious hold on West Berlin under periodic harassment of the Soviets.

For the post-Fleming continuation Bond authors, Leiter has also appeared on a periodic basis.

For example, crystals are periodic arrays of atoms that are not invariant under all translations ( only under a small sub-set of translations by a lattice vector ).

For this reason, many musical instruments, including pianos, are designed to produce nearly periodic oscillations, that is, to have overtones as close as possible to the harmonics of the fundamental tone.

For periodic compounding, the exact doubling time for an interest rate of r per period is

For the interpretation of these significant investigations, it should be remembered that reciprocal relations exist in the hypothalamus with respect to autonomic and somatic functions which are closely associated with the emotions.

For many years he had provided music and entertainment for functions throughout the Northwest.

For the Greeks, Apollo was all the Gods in one and through the centuries he acquired different functions which could originate from different gods.

For liturgical functions other than the Mass the bishop typically wears the cope.

For example, one cannot define all the trigonometric functions in a Banach algebra without identity.

For non-integer α, the functions J < sub > α </ sub >( x ) and J < sub >− α </ sub >( x ) are linearly independent, and are therefore the two solutions of the differential equation.

For the spherical Bessel functions the orthogonality relation is:

For instance, NASA has extremely rigorous software testing procedures for many operating systems and communication functions.

For a certain class of Green functions coming from solutions of integral equations, Schmidt had shown that a property analogous to the Arzelà – Ascoli theorem held in the sense of mean convergence — or convergence in what would later be dubbed a Hilbert space.

For those priests over 80 who became cardinal-deacons and were not ordained to the episcopacy, this is the highest position they can normally attain in the Church hierarchy ( though all cardinals rank above bishops in rank and order of precedence, those cardinals who are not bishops do not have the right to perform the functions reserved solely to bishops, such as ordination ).

For some distributed parameter systems the vectors may be infinite-dimensional ( typically functions ).

For instance, instead of a hardware multiplier, a calculator might implement floating point mathematics with code in ROM, and compute trigonometric functions with the CORDIC algorithm because CORDIC does not require hardware floating-point.

For example: clairsentience is one of the six human special functions mentioned or recorded in Buddhism.

For the same reason, filter functions whose critical response is at lower frequencies ( compared to the sampling frequency 1 / T ) require a higher order, more computationally intensive FIR filter.

For polynomials of degree four and smaller there are explicit formulae for the roots ( the formulae are elementary functions ).

For the case of a carrier modulated by a single sine wave, the resulting frequency spectrum can be calculated using Bessel functions of the first kind, as a function of the sideband number and the modulation index.

For instance, by assigning to every open set U the associative algebra of real-valued continuous functions on U, one obtains a presheaf of algebras on X.

Direction of causal flow is upward. For a multivariate function, functional decomposition generally refers to a process of identifying a set of functions such that

For crimes that are not committed in the exercise of his functions, the President of the Republic answers before the common courts, once his term of office has ended.

For example, operation-preserving functions exist between the set of real numbers with addition and the set of positive real numbers with multiplication.

For most types of hashing functions the choice of the function depends strongly on the nature of the input data, and their probability distribution in the intended application.

For instance, the inverse of the sine function is typically called the arcsine function, written as arcsin, which is, like sin, conventionally denoted in roman type and not in italics ( note that software libraries of mathematical functions often use the name < tt > asin </ tt >):

For example, scientists developing a new viral drug to treat an infection with a pathogenic virus ( e. g. HIV-1 ) may find that a candidate drug functions to prevent viral replication in an in vitro setting ( typically cell culture ).

For this purpose the Internet Protocol defines an addressing system that has two functions: identifying hosts and providing a logical location service.