The set of valid index tuples and the addresses of the elements ( and hence the element addressing formula ) are usually, but not always, fixed while the array is in use.

It is " one of four elements which define the true Church of Jesus Christ " and legitimizes the ministry of its clergy, as only a bishop within the succession can perform legitimate or " valid " ordinations.

( valid for any elements x, y of a commutative ring ),

# is a valid element name, and an instance of such an element contains any number of elements.

* merge: joining two heaps to form a valid new heap containing all the elements of both.

He was aware that the Council of Jamnia, or mainstream rabbinical Judaism, had rejected the Septuagint as valid Jewish scriptural texts because of what were ascertained as mistranslations along with its Hellenistic heretical elements.

Nonetheless, many elements of the theory are still believed to be valid, or the theory is presented in a non-Marxist tradition.

These elements concorded suggestively with those made independently by another astronomer named David Peck Todd, suggesting to many that they might be valid.

Eastern Orthodox, Oriental Orthodox, and Roman Catholics, who together constitute the majority of Christians, hold that the consecrated elements in a valid celebration of the Eucharist indeed become the body and blood of Christ.

Given any such interpretation of a set of points as complex numbers, the points constructible using valid compass and straightedge constructions alone are precisely the elements of the smallest field containing the original set of points and closed under the complex conjugate and square root operations ( to avoid ambiguity, we can specify the square root with complex argument less than π ).

Likewise, in most jurisdictions, five elements are required for a valid prenuptial agreement:

Thus a particular coordinate system ( equinox and equator / ecliptic of a particular date, such as J2000. 0 ) could be used forever, but a set of osculating elements for a particular epoch may only be ( approximately ) valid for a rather limited time, because osculating elements such as those exampled above do not show the effect of future perturbations which will change the values of the elements.

In religion, Eclectics use elements from multiple religions, applied philosophies, personal experiences or other texts and dogma to form their own beliefs and ideas, noting the similarities between existing systems and practices, and recognizing them as valid.

Other parts of the extensive work of Snorri Sturluson ( and other saga writers ) may however be considered valid references for finding elements of the ancient history of Scandinavian people and their religious customs and beliefs.

These customs indeed do have more than a few elements of pre-Christian beliefs, but simply inventing gods based on names of customs is not considered a valid method for reconstruction of lost beliefs.

A valid Catholic marriage results from four elements: ( 1 ) the spouses are free to marry ; ( 2 ) they freely exchange their consent ; ( 3 ) in consenting to marry, they have the intention to marry for life, to be faithful to one another and be open to children ; and ( 4 ) their consent is given in the presence of two witnesses and before a properly authorized Church minister.

In other words, the elements of geometry form a system which is not susceptible of extension, if we regard the five groups of axioms as valid.

Because even satellites in low earth orbit experience significant perturbations ( primarily from the non-spherical shape of the earth ), the Keplerian elements computed from the state vector at any moment are only valid at that time.

In order to create something rooted in his own Japanese culture and history but still fresh and valid internationally, he began searching for something that could be considered ‘ uniquely Japanese .’ After concluding that elements of ‘ high ’ art were confounding at best, he began to focus on Japan ’ s ‘ low ’ culture, especially anime and manga, and the larger subculture of otaku.

At the latter Council the Greeks admitted the Latin contention that the consecration of the elements was equally valid with leavened and unleavened bread ; it was decreed that the priests of either rite should conform to the custom of their respective Church.

This example contains all the elements of a valid authority record: the first heading is the form of the name that the Library of Congress has chosen to be authoritative.

Professionals developing certification exams use job analysis ( often called something slightly different, such as " task analysis " or " work analysis ") to determine the elements of the domain which must be sampled in order to create a content valid exam.

In it important elements of Christianity and of the Biblical view of reality in general, which now cause us much difficulty, could be responded to quite naturally and spontaneously.

Karma is categorized within the group or groups of cause ( Pāli hetu ) in the chain of cause and effect, where it comprises the elements of " volitional activities " ( Pali sankhara ) and " action " ( Pali bhava ).

Except in the case of the isotopes of hydrogen ( which differ greatly from each other in relative mass — enough to cause chemical effects ), the isotopes of the various elements are typically chemically nearly indistinguishable from each other.

He was also the first to distinguish between cause and immediate origins of an event, while his successor Xenophon ( c. 431 – 355 BC ) introduced autobiographical elements and character studies in his Anabasis.

Ideally, the time, place and cause of a loss should be clear enough that a reasonable person, with sufficient information, could objectively verify all three elements.

Karma is categorized within the group or groups of cause ( Pāli hetu ) in the chain of cause and effect, where it comprises the elements of " volitional activities " ( Pali sankhara ) and " action " ( Pali bhava ).

Upon a proof of res ipsa loquitur, the plaintiff need only establish the remaining two elements of negligence — namely, that the plaintiff suffered harm, of which the incident result was the legal cause.

Angelo S. Rappoport in his Dictionary of Socialism ( 1924 ) analysed forty definitions of socialism to conclude that common elements of socialism include: general criticisms of the social effects of private ownership and control of capital-as being the cause of poverty, low wages, unemployment, economic and social inequality, and a lack of economic security ; a general view that the solution to these problems is a form of collective control over the means of production, distribution and exchange ( the degree and means of control vary amongst socialist movements ); agreement that the outcome of this collective control should be a society based upon social justice, including social equality, economic protection of people, and should provide a more satisfying life for most people.

Depending on programming language and / or precise data type used, a variable declared to be a string may either cause storage in memory to be statically allocated for a predetermined max length or employ dynamic allocation to allow it to hold chronologically variable number of elements.

These elements do not cause the text to break when rendered in a paragraph format, but typically they cause the document processor to apply some kind of distinct typographical treatment to the enclosed text, by changing the font, size, or similar attributes.

Magnification and demagnification by lenses and other elements can cause a relatively large stop to be the aperture stop for the system.

As daisy wheel elements are made of plastic to keep mass and manufacturing costs low, using the period character for graphics would cause unacceptably rapid wear, so plastic elements are offered with a metal insert in this position that lasts much longer.

* Shortage of trace elements such as molybdenum can also cause disorders such as whiptail in cauliflower.

The two most prominent 20th century scholars of the Maccabean revolt, Elias Bickermann and Victor Tcherikover, each have very different views for the cause of the revolt, focused on the policies of the Jewish leaders and not Antiochus IV: " Bickermann saw the origin of the problem in the attempt of " Hellenized " Jews to reform the " antiquated " and " outdated " religion practiced in Jerusalem, and to rid it of superstitious elements.

The term critical infrastructure has been widely adopted to distinguish those infrastructure elements that, if significantly damaged or destroyed, would cause serious disruption of the dependent system or organization.

Other elements such as fluoride, while beneficial in low concentrations, can cause dental problems and other issues when present at high levels.

Perle and Frum conclude: “ For us, terrorism remains the great evil of our time, and the war against this evil, our generation ’ s great cause … There is no middle way for Americans: it is victory or holocaust .” These ideas are foundational elements of neoconservatism.

* Current Reality Tree ( CRT, similar to the current state map used by many organizations ) — evaluates the network of cause-effect relations between the undesirable effects ( UDE's, also known as gap elements ) and helps to pinpoint the root cause ( s ) of most of the undesirable effects.

Some argue that while many elements of Mosaddegh's coalition abandoned him it was the loss of support from Ayatollah Abol-Ghasem Kashani and other clergy that was fatal to his cause, reflective of the dominance of the Ulema in Iranian society and a portent of the Islamic Revolution to come.

As noted above, the three requirements of malice, lack of probable cause in the issuance of the process, and a termination of the prior proceeding favorable to the plaintiff, are essential elements for malicious prosecution.