Epiphanius in his Panarion ( c. 375 AD ) numbers Nazareth among the cities devoid of a non-Jewish population.

These first four perfect numbers were the only ones known to early Greek mathematics, and the mathematician Nicomachus had noted 8, 128 as early as 100 AD.

However to help to determine an interval in years across the BC / AD boundary, it is more convenient to use a slightly different convention that includes a year zero and to represent earlier years as negative numbers.

On the upper surface of these mounds was found a considerable Jewish town, dating from about the beginning of the Arabic period onward to the 20th century AD, in the houses of which were large numbers of incantation bowls.

Negative numbers appear for the first time in history in the Nine Chapters on the Mathematical Art ( Jiu zhang suan-shu ), which in its present form dates from the period of the Han Dynasty ( 202 BC – AD 220 ), but may well contain much older material.

and AD 300, while George Gheverghese Joseph dates it to about AD 400 and no later than the early 7th century, carried out calculations with negative numbers, using "+" as a negative sign.

During the 7th century AD, negative numbers were used in India to represent debts.

During the 8th century AD, the Islamic world learned about negative numbers from Arabic translations of Brahmagupta's works, and by the 10th century Islamic mathematicians were using negative numbers for debts.

European mathematicians, for the most part, resisted the concept of negative numbers until the 17th century, although Fibonacci allowed negative solutions in financial problems where they could be interpreted as debits ( chapter 13 of Liber Abaci, AD 1202 ) and later as losses ( in Flos ).

Next, the Battle of Sekigahara ( AD 1600 ) resulted in the confiscation or reduction of the fiefs of large numbers of daimyo on the losing side ; in consequence, many samurai became rōnin.

From the 2nd Century AD they began to adopt Christianity in increasing numbers, and by the 4th Century AD the population was largely Christian.

After the Arab Islamic conquest of the region in the 7th Century AD, Arameans gradually became a minority in their homelands, the language was gradually replaced by Arabic, as ever increasing numbers of Arabs, ( together with Turkic and Iranic peoples ) began to move into the region.

* Sino-Xenic data — Chinese loanwords borrowed in large numbers into Vietnamese, Japanese and Korean, especially during the period of 500-1000 AD.

Increasing numbers in the mid eighteenth century meant a move for the School to its present site, on land next to the battlefield where, in 642 AD King Oswald was defeated by King Penda.

Part of the Mir Zakah hoard, a very unusual deposit containing enormous numbers of coins from the fourth century BC to third century AD, totalling 11, 500 silver and copper coins were kept in the museum.

Small numbers might have moved down as early as the 3rd century however the bulk of migration did not occur until the late 6th century AD.

AD states that every such game in which both players choose natural numbers is determined ; that is, one of the two players has a winning strategy.

It was not until the fall of Western Jin during the early 4th century AD that northern Chinese moved to Jiangnan in significant numbers.

Also in the 2nd century AD, Aelius Nicon of Pergamon, the Greek architect and builder described by his son, the famous physician Galen, as having " mastered all there was to know of the science of geometry and numbers ", was a master in composing isopsephic works.

During Trajan's Dacian Wars in AD 102 and AD 106, enormous numbers of Dacians were killed or taken into slavery.

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.

Iron plate with an order 6 magic square in Persian / Arabic numbers from China, dating to the Yuan Dynasty ( 1271 – 1368 ).

Typically, elements capable of variable coordination number and / or oxidation states tend to exhibit greater numbers of allotropic forms.

: huiotes ); according to Marcus, they are numbers and sounds ; in Valentinianism they form male / female pairs called " syzygies " ( Greek, from σύζυγοι syzygoi ).

In some regions, there are several numbers, depending on the telephone company and / or the area you are calling from as there can be several central offices serving some areas.

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

For small numbers of at-bats, it is possible ( though unlikely ) for a player's on-base percentage to be lower than his batting average ( H / AB ).

For instance, division of real numbers is a partial function, because one can't divide by zero: a / 0 is not defined for any real a.

Model numbers prior to 11 / 11000 were built under the Travel Air name, while Curtiss-Wright built the CW-12, 14, 15 and 16 as well as previous successful Travel Air models ( mostly the model 4 ).

As the largest and most spectacular forest antelope, the western / lowland bongo is both an important flagship species for protected areas such as national parks, and a major trophy species which has been taken in increasing numbers in Central Africa by sport hunters during the 1990s.

Given any expression involving complex numbers, bras, kets, inner products, outer products, and / or linear operators ( but not addition ), written in bra-ket notation, the parenthetical groupings do not matter ( i. e., the associative property holds ).

* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.

# Measures, numbers, money, days, months, years, clock time, and international words are in English forms, e. g. Date / Time: 20 May 1972 at 21: 00

If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).

Later ancient commentators such as Proclus ( 410 – 485 CE ) treated many questions about infinity as issues demanding proof and, e. g., Proclus claimed to prove the infinite divisibility of a line, based on a proof by contradiction in which he considered the cases of even and odd numbers of points constituting it.

Negative numbers were also used by the Greek mathematician Diophantus in about 275 CE, but were not widely accepted in Europe until the 16th century CE.

In the 10th century CE, the Iraqi mathematician Al-Hashimi provided general proofs for numbers ( rather than geometric demonstrations ) as he considered multiplication, division, etc.

In 145 CE, Rabbi Shimon bar Yochai " cleansed the city of ritual impurity allowing Jews to settle in the city in numbers.

In the 5th and 6th centuries, conflict between the city's Christian and Samaritan inhabitants climaxed in a series of Samaritan revolts against Byzantine rule, before their violent quelling in 529 CE drastically dwindled that community's numbers in the city.

But it was after the destruction of the Second Temple in 70 CE that the first wave of large numbers of settlers came to Cranganore, an ancient port near Cochin.

In 376 CE, large numbers of Goths crossed the Danube.

150 CE ), who wrote about the mystical properties of numbers.

The Johannine narrative describes the porticos as being a place in which large numbers of infirm people were waiting, which corresponds well with the site's 1st century CE use as an asclepieion.

Then large numbers of Jews were brought to Rome as slaves following the Jewish – Roman wars in Judea from 63 to 135 CE

Large numbers of dated archaeological sites indicate that the Ancestral Pueblo and the Cohonina flourished until about 1200 CE.

The Johannine narrative describes the porticos as being a place in which large numbers of infirm people were waiting, which corresponds well with the site's 1st century CE use as an asclepieion.