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foundations and Set
* Set theory and foundations of mathematics

foundations and temples
Their raids throughout the three parts of Gaul were traumatic: Gregory of Tours ( died ca 594 ) mentions their destructive force at the time of Valerian and Gallienus ( 253 – 260 ), when the Alemanni assembled under their " king ", whom he calls Chrocus, who " by the advice, it is said, of his wicked mother, and overran the whole of the Gauls, and destroyed from their foundations all the temples which had been built in ancient times.
Buddhist ( and Hindu ) temples were Mandala shaped, they are oriented according to the four cardinal points, the main gate being towards the east. Since building space and materials were scarce, Maldivians constructed their places of worship on the foundations of previous buildings.
Within the area surrounded by the walls are the remains of three temples, all of the Doric order, and of an ancient style ; none of them were standing until the temple designated " Temple E " was re-erected in the 20th century, but the foundations of them all remain, together with numerous portions of columns and other architectural fragments, sufficient to enable one to restore the plan and design of all three without difficulty.
Some temples have been carefully taken apart stone by stone and reassembled on concrete foundations, in accordance with the method of anastylosis.
The foundations of Fustat and later Cairo, both built further north, were laid with stones of dismantled temples and ancient necropoleis of Memphis.
This ritual is related to laying out the foundations of temples and other important structures in order to determine and assure the sacred alignments and the precision of the dimensions.
This syncretism can also been seen in the Catholic churches built over the foundations of destroyed temples in this area, such as the San Pedro Church located in the North Group and the Calvario Chapel, located in the Adobe Group.
The first temples were mostly mudbrick structures on stone foundations.
However, Cham kings continued periodically to renovate the temples at Mỹ Sơn and even to build new foundations.
De Soto observed people living in fortified towns with lofty mounds and plazas, and surmised that many of the mounds served as foundations for priestly temples.
However, the temples ' foundations and other architectural supporting structures were strengthened instead.
In many cases, temples were destroyed entirely ; in numerous instances mosques were built on their foundations, sometimes using the same stones.
The blocks used in the Temple of Amenhotep IV in Karnak and the other abandoned Aten temples were reused by Horemheb and Ramesses II as filler material for pylons and as foundations for large buildings.

foundations and at
With such a dream arising, at least in part, from the Protestant heritage of the United States and built into the foundations of the nation, it is not surprising that many efforts were made to give it concrete expression.
In the German Evangelical Church the German title of Abt ( abbot ) is sometimes bestowed, like the French abbé, as an honorary distinction, and survives to designate the heads of some monasteries converted at the Reformation into collegiate foundations.
It is at this point that Paris gives Aeneas Priam's sword, in order to give legitimacy and continuity to the Royal Line of Troy – and lay the foundations of Rome.
He was responsible for foundations at Scone and Inchcolm.
Then, following the programme he outlined in his talk at the 1958 International Congress of Mathematicians, he introduced the theory of schemes, developing it in detail in his Éléments de géométrie algébrique ( EGA ) and providing the new more flexible and general foundations for algebraic geometry that has been adopted in the field since that time.
He went on to plan and execute a major foundational programme for rebuilding the foundations of algebraic geometry, which were then in a state of flux and under discussion in Claude Chevalley's seminar ; he outlined his programme in his talk at the 1958 International Congress of Mathematicians.
The Pentelic marble portrait head of Arcadius ( illustration ) was discovered in Istanbul close to the Forum Tauri, in June 1949, in excavating foundations for new buildings of the University at Beyazit.
These arguments, and a discussion of the distinctions between absolute and relative time, space, place and motion, appear in a Scholium at the very beginning of Newton's work, The Mathematical Principles of Natural Philosophy ( 1687 ), which established the foundations of classical mechanics and introduced his law of universal gravitation, which yielded the first quantitatively adequate dynamical explanation of planetary motion.
Use of jumps or aerial acrobacies was kept to a minimum, since one of its foundations was always keeping at least one hand or foot firmly attached to the ground.
Virgilio Canio Corbo, a Franciscan priest and archaeologist, who was present at the excavations, estimated from the archaeological evidence that the western retaining wall, of the temple itself, would have passed extremely close to the east side of the supposed tomb ; if the wall had been any further west any tomb would have been crushed under the weight of the wall ( which would be immediately above it ) if it had not already been destroyed when foundations for the wall were made.
Antipsychiatry activists protested at the same APA conventions, with some shared slogans and intellectual foundations.
Saint Dominic was to establish similar foundations at other university towns of the day, Bologna in 1218, Palencia and Montpellier in 1220, and Oxford just before his death in 1221.
The most remarkable are the monastic foundations at Humor ( hoo mor ), Moldoviţa ( mol do vee ' tsa ), Arbore ( are ' bo ray ) and Voroneţ ( vo ro nets ).
There are two known Iron Age sites-a promontory fort at Landberg and the foundations of a house underlying an early Christian settlement at Kirkigeo.
It was at this congress, that the Greens lay their ideological foundations, proclaiming the famous Four Pillars of the Green Party:
Geotechnical engineers design foundations based on the load characteristics of the structure and the properties of the soils and / or bedrock at the site.
These were partly caused by the explosion in population, but also to concentrate economic power at strategic locations, while formerly cities only existed in the shape of either old Roman foundations or older bishoprics.
He was continued a process begun by his mother and brothers helping to establish foundations who brought reform to Scottish monasticism based on those at Cluny and he played a part in the organisation of diocese on lines closer to those in the rest of Western Europe.
Dwelling foundations unearthed at Tell es-Sultan in Jericho
Other factors in the new philo-Semitism include gratitude to the Jews for contributing to the theological foundations of Christianity and for being the source of the prophets and Jesus ; remorse for the Church's history of anti-Semitism ; and fear that God will judge the nations at the end of time on the basis of how they treated the Jewish people.
Recent such further work by Freitas and Merkle is aimed at strengthening these foundations by filling the existing gaps in the low-level chemistry.
Larger, but not large, settlements existed around royal forts, such as at Burghead, or associated with religious foundations.
After 1800, ships from plague-countries ( or with foul bills ) were enabled to perform their quarantine on arrival in the Medway instead of taking a Mediterranean port on the way for that purpose ; and about the same time an extensive lazaret was built on Chetney Hill near Chatham at an expense of £ 170, 000, which was almost at once condemned owing to its marshy foundations, and the materials sold for £ 15, 000.

foundations and finally
Several mathematicians, including Maclaurin and d ' Alembert, attempted to prove the soundness of using limits, but it would be 150 years later, through the work of Augustin Louis Cauchy and Karl Weierstrass, where a means was finally found to avoid mere " notions " of infinitely small quantities, that the foundations of differential and integral calculus were made firm.
After a cataclysmic struggle in which Creation shook to its foundations, the Exalted finally triumphed over the Primordials, slaying many of their number and then extracting the surrender of all else who had fought against them.
In 1870 the foundations of the new nave were finally laid, and in 1873, after Kramer's death, architect Josef Mocker took over the reconstruction.
The Conference declares that the new world order that will follow victory cannot be established on foundations of peace, justice and equality, unless the problem of Jewish homelessness is finally solved.
He further consolidated industrial and family assets, finally organizing a series of foundations representing assets that he had managed for various family members.
The foundations for the Order in New Zealand were laid by Reginald Gardiner, born in New South Wales, Australia, son of an Anglican vicar and brother of the Anglican vicar of St Luke's Church, Havelock North, who finally settled in New Zealand in 1907, settling in the village of Havelock North.
When the Plague finally passed over, master and pupil began to rebuild the monastic foundations and succeeded effectively.
The object of the game is to free an ace of each suit to make four foundations, then to build them up by suit up to Kings, placing the second King of each suit and finally to build them down, again by suit, to Aces.
Beneath these she found artifacts from the Second Temple Period, and finally underneath these she found large foundations of a substantial structure, which she claims to have been the Palace of David.

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