Pharisees claimed prophetic or Mosaic authority for their interpretation of Jewish laws, while the Sadducees represented the authority of the priestly privileges and prerogatives established since the days of Solomon, when Zadok, their ancestor ( disputed ; see Sadducees ), officiated as High Priest.

Both the domestic religious traditions and the so-called state religion ( sacra publica ) are represented in the practices of Nova Roma, including the restoration of the ancient priestly collegia, and the honoring of the full cycle of Roman holidays throughout the year.

Although they both represented a liberal trend in the Church, they continued to support doctrine for priestly celibacy, and against pre-marital sex, abortion, and similar issues.

Near Q, both curves can be represented by analytic functions of U.

* Wave functions and other quantum states can be represented as vectors in a complex Hilbert space.

This produces a chain of functions as in lambda calculus, and multi-argument functions are usually represented in curried form.

Homegeneous production functions with constant returns to scale are first degree homogeneous, increasing returns to scale are represented by degrees of homogeneity greater than one, and decreasing returns to scale by degrees of homogeneity less than one.

The harmonic distribution of a sine wave carrier modulated by such a sinusoidal signal can be represented with Bessel functions ; this provides the basis for a mathematical understanding of frequency modulation in the frequency domain.

In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

Similarly, finite-duration functions can be represented as a Fourier series, with no actual loss of information except that the periodicity of the inverse transform is a mere artifact.

The 80286 provided built in memory protection mechanisms which had been almost exclusive to mainframes and minicomputers ( CPUs like the NS320xx and M68000 needed additional components in order to implement MMU functions ) and the large performance enhancements represented by the 80286 and many of its successors would pave the way for the x86 and the IBM PC architecture to extend from low performance personal computers all the way to high-end workstations and servers and even drive the market for other architectures.

In formal languages, truth functions are represented by unambiguous symbols.

In the simple case of periodic functions, this result is based on the theorem that any continuous periodic function can be represented as the sum of a series of sine waves and cosine waves:

These functions allow the Amiga to move GUI windows around the screen rapidly as each is represented in graphical memory space as a rectangular block of memory which may be shifted to any required screen memory location at will.

Historical remark: In its original form by F. Riesz ( 1909 ) the theorem states that every continuous linear functional A over the space C ( 1 ) of continuous functions in the interval can be represented in the form

The 1701 had two functions, it represented the first ( 01 ) ship of a 17th federation cruiser design, and that the digits were unlikely to be misread, unlike 6, 8, or 9.

The encounter between the heavenly and political, legal aspects of the deity are well represented by the prerogatives, privileges, functions and taboos proper to his flamen ( the flamen Dialis and his wife, the flaminica Dialis ).

In the frequency domain, this would be represented as a single pair of delta functions ( positive and negative conjugates ) at the oscillator's frequency, i. e., all the signal's power is at a single frequency.

Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation.

However, preference relations can often be represented by utility functions satisfying several properties.

In this image, the meanings of the expressions cold, warm, and hot are represented by functions mapping a temperature scale.

Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.

In the study of Fourier series, complicated but periodic functions are written as the sum of simple waves mathematically represented by sines and cosines.

The flag of New Mexico is represented by the red and gold colors, which represent Spain, as well as the Zia symbol, an ancient symbol for the sun of that Pueblo-related tribe.

* A pact of non-aggression and friendship is signed between the Roman Empire, represented by Tiberius, and the German tribe the Cherusci, represented by their King Segimer.

After acrimonious negotiations between the representatives of the new Batavian Republic, a name that refers to the Germanic tribe of the Batavians that in Dutch nationalistic lore represented both its ancestry and its ancient quest for liberty, and those of the French Republic, a harsh Treaty of The Hague was concluded on May 16, 1795.

On Day 19, the tribes were each told to send a tribe member to a secret location to represent their tribe ; Rob went for Rotu, while Kathy represented Maraamu.

These Minyans were associated with Boeotian Orchomenus, as when Pausanias relates that " Teos used to be inhabited by Minyans of Orchomenus, who came to it with Athamas " and may have represented a ruling dynasty or a tribe later located in Boeotia.

This time Khama and his followers, who now represented the majority of the tribe in Shoshong, relocated northward to the tiny village of Serowe and prepared for war with Sekgoma.

Tribu Kaunlaran ( Bgy 3 ) of Comon under then tribe trainer and choreographer Herman Cortez became a regular winner, that they represented the province in 1981 in the Dinagyang Festival in Iloilo City as Tribu Binirayan.

Caleb, son of Jephunneh, is thought by many to be a true Israelite by birth, since he is associated with and represented the tribe of Judah as one of the 12 spies.

The Upper Umpqua tribe is represented as the Cow Creek Band of Umpqua Tribe of Indians.

The Lower Umpqua tribe is represented in modern times as one of the three Confederated Tribes of Coos, Lower Umpqua and Siuslaw Indians located on the southwest Oregon Pacific coast in the United States.

" The tribe is represented in the suit by Tom White, the tribe's Omaha-based attorney.

It is represented by six clades distributed across the tribe Alpinieae, that do not correspond to Smith's ( 1990 ) classification of the genus.

A tribal name is a name of an ethnic tribe — usually of ancient origin, which represented its self-identity.

Kaonde is the largest tribe represented in Solwezi, but you can also find large numbers of Lunda and Luvale speaking people.

He represented the Giriama tribe.

The Yomud tribe was historic to the Balkan region and the Yomud carpet pattern, or göl, is one of the five patterns represented on the Turkmen flag.

According to another theory, the word Shapiro is Aramaic ( probably derived from the Hebrew word sapir ( ספיר ), usually translated as " sapphire ", which refers not to the sapphire gemstone but to the lapis lazuli, and is reputed to be the stone which represented the tribe of Issachar on the breastplate of the high priest of Israel and thus identifies the Shapiro family with that tribe ) and appears, for example, in the 11th Century Aramaic-language Jewish religious poem Akdamus a. k. a. Akdamuth ( line 45 ) and in Onkelos's commentary on Genesis 29: 17.

Federal courts in the United States have ruled that they will not go behind a treaty " to inquire whether or not an Indian tribe was properly represented by its head men, nor determine whether a treaty has been procured by duress or fraud, and declare it inoperative for that reason.

The treaty was between the sultan and the tribes, represented by Shaykh Isa ibn Salih al Harthi, leader of the Al Harth tribe.

This is the most numerous family of the tribe, also represented by the frog.

The player's tribe is represented by the colour blue, while other tribes are red, yellow, green, purple and cobalt.