|
Approximations Of π
Approximations for the mathematical constant pi () in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century. Further progress was not made until the 15th century (through the efforts of Jamshīd al-Kāshī). Early modern mathematicians reached an accuracy of 35 digits by the beginning of the 17th century ( Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics. The record of manual approximation of is held by William Shanks, who calculated 527 digits correctly in 1853. Since the middle of the 20th century, the approximation of has been the task of electronic digital computers (for a comprehensive account, see Chronology of computation of ). On June 8, 2022, the current ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chronology Of Computation Of π
The table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant pi (). For more detailed explanations for some of these calculations, see Approximations of . The last 100 decimal digits of the latest 2022 world record computation are: 4658718895 1242883556 4671544483 9873493812 1206904813 2656719174 5255431487 2142102057 7077336434 3095295560 Before 1400 1400–1949 1949–2009 2009–present See also * History of pi *Approximations of π Approximations for the mathematical constant pi () in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct ... References External links * Borwein, Jonathan,The Life of Pi {{DEFAULTSORT:Chronology Of Computation Of Pi Pi History of mathematics Pi Pi algorithms ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Great Pyramid Of Giza
The Great Pyramid of Giza is the biggest Egyptian pyramids, Egyptian pyramid and the tomb of Fourth Dynasty of Egypt, Fourth Dynasty pharaoh Khufu. Built in the early 26th century BC during a period of around 27 years, the pyramid is the oldest of the Seven Wonders of the Ancient World, and the only one to remain largely intact. As part of the Giza pyramid complex, it borders present-day Giza in Greater Cairo, Egypt. Initially standing at , the Great Pyramid was the List of tallest buildings and structures#History, tallest man-made structure in the world for more than 3,800 years. Over time, most of the smooth white limestone casing was removed, which lowered the pyramid's height to the present . What is seen today is the underlying core structure. The base was measured to be about square, giving a volume of roughly , which includes an internal hillock. The dimensions of the pyramid were high, a base length of , with a seked of palms (a slope of 51°50'40"). The Great Pyr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle Kingdom Of Egypt
The Middle Kingdom of Egypt (also known as The Period of Reunification) is the period in the history of ancient Egypt following a period of political division known as the First Intermediate Period. The Middle Kingdom lasted from approximately 2040 to 1782 BC, stretching from the reunification of Egypt under the reign of Mentuhotep II in the Eleventh Dynasty to the end of the Twelfth Dynasty. The kings of the Eleventh Dynasty ruled from Thebes and the kings of the Twelfth Dynasty ruled from el-Lisht. The concept of the Middle Kingdom as one of three golden ages was coined in 1845 by German Egyptologist Baron von Bunsen, and its definition evolved significantly throughout the 19th and 20th centuries. Some scholars also include the Thirteenth Dynasty of Egypt wholly into this period, in which case the Middle Kingdom would end around 1650 BC, while others only include it until Merneferre Ay around 1700 BC, last king of this dynasty to be attested in both Upper and Lower Egyp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Second Intermediate Period
The Second Intermediate Period marks a period when ancient Egypt fell into disarray for a second time, between the end of the Middle Kingdom and the start of the New Kingdom. The concept of a "Second Intermediate Period" was coined in 1942 by German Egyptologist Hanns Stock. It is best known as the period when the Hyksos people of West Asia made their appearance in Egypt and whose reign comprised the 15th Dynasty, which, according to Manetho's ''Aegyptiaca'', was founded by a king by the name of Salitis. End of the Middle Kingdom The 12th Dynasty of Egypt came to an end at the end of the 19th century BC with the death of Queen Sobekneferu (1806–1802 BC).Kim S. B. Ryholt, ''The Political Situation in Egypt during the Second Intermediate Period, c. 1800–1550 B.C.'', Museum Tusculanum Press, Carsten Niebuhr Institute Publications 20. 1997, p.185 Apparently she had no heirs, causing the 12th Dynasty to come to a sudden end, and, with it, the Golden Age of the Middle King ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rhind Mathematical Papyrus
The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057 and pBM 10058) is one of the best known examples of ancient Egyptian mathematics. It is named after Alexander Henry Rhind, a Scottish antiquarian, who purchased the papyrus in 1858 in Luxor, Egypt; it was apparently found during illegal excavations in or near the Ramesseum. It dates to around 1550 BC. The British Museum, where the majority of the papyrus is now kept, acquired it in 1865 along with the Egyptian Mathematical Leather Roll, also owned by Henry Rhind. There are a few small fragments held by the Brooklyn Museum in New York City and an central section is missing. It is one of the two well-known Mathematical Papyri along with the Moscow Mathematical Papyrus. The Rhind Papyrus is larger than the Moscow Mathematical Papyrus, while the latter is older. The Rhind Mathematical Papyrus dates to the Second Intermediate Period of Egypt. It was copied by the scribe Ahmes (i.e., Ahmose; ''Ahme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Philosophical Society
The American Philosophical Society (APS), founded in 1743 in Philadelphia, is a scholarly organization that promotes knowledge in the sciences and humanities through research, professional meetings, publications, library resources, and community outreach. Considered the first learned society in the United States, it has about 1,000 elected members, and by April 2020 had had only 5,710 members since its creation. Through research grants, published journals, the American Philosophical Society Museum, an extensive library, and regular meetings, the society supports a variety of disciplines in the humanities and the sciences. Philosophical Hall, now a museum, is just east of Independence Hall in Independence National Historical Park; it was designated a National Historic Landmark in 1965. History The Philosophical Society, as it was originally called, was founded in 1743 by Benjamin Franklin, James Alexander, Francis Hopkinson, John Bartram, Philip Syng, Jr. and others as a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Susa
Susa ( ; Middle elx, 𒀸𒋗𒊺𒂗, translit=Šušen; Middle and Neo- elx, 𒋢𒋢𒌦, translit=Šušun; Neo-Elamite and Achaemenid elx, 𒀸𒋗𒐼𒀭, translit=Šušán; Achaemenid elx, 𒀸𒋗𒐼, translit=Šušá; fa, شوش ; he, שׁוּשָׁן ; grc-gre, Σοῦσα ; syr, ܫܘܫ ; pal, 𐭮𐭥𐭱𐭩 or ; peo, 𐏂𐎢𐏁𐎠 ) was an ancient city in the lower Zagros Mountains about east of the Tigris, between the Karkheh and Dez Rivers in Iran. One of the most important cities of the Ancient Near East, Susa served as the capital of Elam and the Achaemenid Empire, and remained a strategic centre during the Parthian and Sasanian periods. The site currently consists of three archaeological mounds, covering an area of around one square kilometre. The modern Iranian town of Shush is located on the site of ancient Susa. Shush is identified as Shushan, mentioned in the Book of Esther and other Biblical books. Name The English name is derived ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rabbi Nehemiah
Rabbi Nehemiah was a rabbi who lived circa 150 AD (fourth generation of tannaim). He was one of the great students of Rabbi Akiva, and one of the rabbis who received semicha from R' Judah ben Baba The Talmud equated R' Nechemiah with Rabbi Nehorai: "His name was not Rabbi Nehorai, but Rabbi Meir." His son, R' Yehudah BeRabi Nechemiah, studied before Rabbi Tarfon, but died at a young age after damaging R' Tarfon's honor, after R' Akiva predicted his death. Teachings In the Talmud, all anonymous sayings in the Tosefta are attributed to R' Nechemiah. However, Sherira Gaon said that this does not mean they were said by R' Nechemiah, but that the laws in question were transmitted by R' Nechemiah. In the Talmud, many times he disagrees with R' Judah bar Ilai on matters of halacha. He is attributed as the author of the '' Mishnat ha-Middot'' (ca. AD 150), making it the earliest known Hebrew text on geometry, although some historians assign the text to a later period by an unknow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rabbinical Judaism
Rabbinic Judaism ( he, יהדות רבנית, Yahadut Rabanit), also called Rabbinism, Rabbinicism, or Judaism espoused by the Rabbanites, has been the mainstream form of Judaism since the 6th century CE, after the codification of the Babylonian Talmud. Rabbinic Judaism has its roots in Pharisaic Judaism and is based on the belief that Moses at Mount Sinai received both the Written Torah (''Torah she-be-Khetav'') and the Oral Torah (''Torah she-be-al Peh'') from God. The Oral Torah, transmitted orally, explains the Written Torah. At first, it was forbidden to write down the Oral Torah because the rabbis feared that it would become rigid and lose its flexibility, but after the destruction of the Second Temple they decided to write it down in the Talmud and other rabbinic texts. Rabbinic Judaism contrasts with the Sadducees, Karaite Judaism and Samaritanism, which do not recognize the Oral Torah as a divine authority nor the rabbinic procedures used to interpret Jewish script ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
First Book Of Kings
The Book of Kings (, '' Sēfer Məlāḵīm'') is a book in the Hebrew Bible, found as two books (1–2 Kings) in the Old Testament of the Christian Bible. It concludes the Deuteronomistic history, a history of Israel also including the books of Joshua, Judges and Samuel. Biblical commentators believe the Books of Kings were written to provide a theological explanation for the destruction of the Kingdom of Judah by Babylon in c. 586 BCE and to provide a foundation for a return from Babylonian exile.Sweeney, p1/ref> The two books of Kings present a history of ancient Israel and Judah, from the death of King David to the release of Jehoiachin from imprisonment in Babylon—a period of some 400 years (). Scholars tend to treat the books as consisting of a first edition from the late 7th century BCE and of a second and final edition from the mid-6th century BCE.Fretheim, p. 7 Contents The Jerusalem Bible divides the two Books of Kings into eight sections: *1 Kings 1:1� ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Solomon's Temple
Solomon's Temple, also known as the First Temple (, , ), was the Temple in Jerusalem between the 10th century BC and . According to the Hebrew Bible, it was commissioned by Solomon in the United Kingdom of Israel before being inherited by the Kingdom of Judah in . It stood for around four centuries until it was destroyed by the Neo-Babylonian Empire during the Babylonian siege of Jerusalem, which occurred under the reign of Babylonian king Nebuchadnezzar II. Although most modern scholars agree that the First Temple existed on the Temple Mount in Jerusalem by the time of the Babylonian siege, there is significant debate over the date of its construction and the identity of its builder. The Hebrew Bible, specifically within the Book of Kings, includes a detailed narrative about the construction's ordering by Solomon, the penultimate ruler of amalgamated Israel and Judah. It further credits Solomon as the placer of the Ark of the Covenant in the Holy of Holies, a windowless in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.png "Click for more on -> Rhind Mathematical Papyrus")
