For liturgical purposes, Samaritan Hebrew, Samaritan Aramaic, and Samaritan Arabic are used, all of which are written in the Samaritan alphabet, a variant of the Old Hebrew alphabet, distinct from the so-called square script Hebrew alphabet of Jews and Judaism, which is a stylized form of the Aramaic alphabet.

For centuries these were a major feature of the liturgical calendar, particularly of the Catholic Church, and some are still observed, though the number of such octaves has now been radically reduced.

For similar reasons the official liturgical calendar of the Roman Catholic Church refers to Monday as the second celebration day-Feria II.

For over a century, Sitges has been celebrating nonstop — between the months of February and March, according to the liturgical calendar — Carnestoltes, or Carnival.

For many, the 1961 withdrawal of Pope Gregory XVI's 1837 authorization of liturgical veneration of Saint Philomena in a limited number of places ( which was not an official declaration that she never existed nor that she is not a saint ) merely means that the situation has returned to that existing before 1837, when in many places there was fervent devotion to her, accompanied only by vague speculation about the circumstances of her life and death or by belief in the revelations of the Neapolitan nun.

For these reasons this liturgical commemoration was not kept in the Catholic calendar of saints for universal liturgical veneration as revised in 1969.

For most of the countries in the English-speaking world a translation is published by Catholic Book Publishing Corp. under the title The Liturgy of the Hours in four volumes, arranged according to the liturgical seasons of the Church year.

For a full list of Christian liturgical rites, see Christian liturgy.

For a full list of Catholic liturgical rites, see List of Catholic rites and churches.

For the empress's court, Galuppi composed new works, both operatic and liturgical, and revived and revised many others.

For academic purposes clergy who do not hold a pontifical degree commonly use the liturgical biretta.

For over two hundred years the Plantin press had a monopoly, granted by the papacy, for the printing of liturgical formularies, yet in 1562, suspected of heresy, Plantin fled to France for two years.

For example, many of his liturgical compositions are based on church modes that date back 500 years.

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 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.

For periodic functions, both the Fourier transform and the DTFT comprise only a discrete set of frequency components ( Fourier series ), and the transforms diverge at those frequencies.

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.

For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

For there is also the `` face of reality '' in the form of the individual's perceptions of his own abilities and interests, of the objective possibilities open to him, of the familial and other social pressures to which he is exposed.

For instance, college-educated people consistently show up in study after study as more often than others supporters of the Bill of Rights and other democratic rights and liberties.

For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.

`` For six years my father had had to do too much commanding and convincing, '' writes the narrator, `` not to understand that man begins with ' the other ' ''.

For centuries the North Atlantic nations dominated the world and as long as they did they could afford the luxury of fighting each other.

For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??

Small Business Administration, What It Is, What It Does, SBA Services For Community Economic Development, and various other useful publications on currently important management, technical production, and marketing topics are available, on request, from Small Business Administration, Washington 25, D.C..

For the States which maintain two separate agencies -- one for the vocational rehabilitation of the blind, and one for the rehabilitation of persons other than the blind -- the Act specifies that their minimum ( base ) allotment shall be divided between the two agencies in the same proportion as it was divided in fiscal year 1954.

For instance, a site adjoining other publicly owned lands, such as a national forest or a public road, may be desirable, whereas a site next to an industrial plant might not.

For specialized types of displays, such as large three-dimensional units reproducing a product, package, human or animal figures, etc., reinforced plastics and rotationally molded vinyl plastisols are other materials frequently used.

For large letters, e.g. thermoformed of acrylic or butyrate, there are other techniques.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

For no particular reason, other than that the writer felt it might -- just might -- encourage both mates to be in attendance.

For a number of years Kentucky, Louisiana and several other states have been building state-sponsored vocational education schools that serve nearby school districts in several counties.

For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.

`` For these and other reasons '', says Dr. Brodie, `` orthodontics can prolong the life of teeth ''.

For A good many seasons I've been looking at the naughty stuff on television, so the other night I thought I ought to see how immorality is doing on the other side of the fence in movies.

For we have said, in effect, that of the two alternatives to his position variously represented by the other participants in the demythologizing discussion, only one is really an alternative.

For some reason, this ellipsis in the conversation spread until it swallowed up every other topic.

For their purposes, oxygen and other gases were not drawn from the surrounding atmosphere through the medium of lungs but sustained artificially by solution in their shells.

* For a normal distribution, the arithmetic mean is equal to both the median and the mode, other measures of central tendency.

For easy viewing, the middle 2 beads on each wire ( the 5th and 6th bead ) usually are of a different colour from the other eight beads.

For these, other possible explanations have also been proposed.