Rapids are found on rivers. Rapids are where the river bed is rocky, and the river runs fast over and around the rocks. Rapids are found in the mountains near the beginning or "headwaters" of a river. The word "rapids" is always plural, (like "scissors" and "trousers"). The word "rapid" means "very fast".
Because of the splash made by the water going over rocks, rapids are also called "whitewater". Some people enjoying whitewater canoeing or whitewater rafting as a sport.
Waray language
Wáray-Wáray or Warai (commonly spelled as "Waray"; also "Winaray" or "Lineyte-Samarnon") is a language spoken in the provinces of Samar, Leyte, and Biliran in the Philippines.
The Waraynon group of languages consists of Waray, Waray Sorsogon and Masbate Sorsogon. All the Warayan languages belong to the Visayan language family and are related to Cebuano and more closely to Hiligaynon and Masbatenyo.
Waray-Waray is one of the ten officially recognized regional languages in the Philippines and used in the local government. It is spoken throughout the islands especially in the Eastern Visayas region. But it is also spoken in some parts of Mindanao, Masbate, Sorsogon and Metro Manila where Warays went to. There is also a very small number of Filipinos abroad, especially in the United States, that speaks this language.
The Waray language has sixteen consonants: . There are three main vowels: "a" , "i" , and "u" . Consonants and were once allophone but cannot interchange, like "palaron" (to be lucky) [from "palad", palm (because someone's luck is seen in the palm)] but not "paladon" and "tagadiín" (from where) [from "diín", where] but not "tagariín".
Native numbers are used for numbers one through ten. From eleven onwards, Spanish numbers are exclusively used in Waray today, their native counterparts being almost unheard of by the majority of native speakers numbers (except for gatus for "hundred" and yukot for "thousand"). Some, specially the old ones, are spoken alongside the Spanish counterparts.
Below are examples of the Waray spoken in Metropolitan Tacloban and the nearby areas:
J.E.B. Stuart
James Ewell Brown Stuart (1833-1864) was a general in the Confederate army during the American Civil War. He was from Virginia. During the war, he was known for dangerous things he did while riding a horse. He was killed at the Battle of Yellow Tavern in 1864.
Riodinidae
Riodinidae is a family of butterflies. They are commonly known as riodinids or metalmarks. Metalmarks get their name from the bright, metallic (looking like metal) markings found on the wings of most species. The family has nearly 2,000 species in it. The metalmarks are mostly found in the Neotropical region. Most metalmarks are small. Their wingspan ranges from 20mm to 65mm. Metalmarks vary greatly in wing shape, pattern, and color.
Riodinidae was formerly known as the family Nemeobiidae and as the family Erycinidae. It was also once thought to be a subfamily of Lycaenidae.
Taxicab number
A taxicab number is the name given by mathematicians to a sequence of special numbers: 2, 1729 etc. A taxicab number is the smallest number that can be expressed as the sum of two positive cubes in "n" distinct ways. It has nothing to do with taxis, but the name comes from a well-known conversation that took place between two famous mathematicians: Godfrey Hardy and Srinivasa Ramanujan.
Godfrey Hardy was a professor of mathematics at Cambridge University. One day he went to visit a friend, the brilliant young Indian mathematician Srinivasa Ramanujan, who was ill. Both men were mathematicians and liked to think about numbers.
When Ramanujan heard that Hardy had come in a taxi he asked him what the number of the taxi was. Hardy said that it was just a boring number: 1729. Ramanujan replied that 1729 was not a boring number at all: it was a very interesting one. He explained that it was the smallest number that could be expressed by the sum of two cubes in two different ways.
This story is very famous among mathematicians. 1729 is sometimes called the “Hardy-Ramanujan number”.
There are two ways to say that 1729 is the sum of two cubes.
1x1x1=1; 12x12x12=1728. So 1+1728=1729
But also: 9x9x9=729; 10x10x10=1000. So 729+1000=1729
There are other numbers that can be shown to be the sum of two cubes in more than one way, but 1729 is the smallest of them.
Since the famous conversation between Hardy and Ramanujan, mathematicians have tried to find other interesting numbers that are the smallest number that can be expressed by the sum of two cubes in three/four/five etc. different ways. These numbers are very, very big, and have been found by computers.
So far, the following six taxicab numbers are known :
Bernard Frénicle de Bessy
Bernard Frénicle de Bessy (about 1605–1675), was a French mathematician. He was born in Paris. He wrote many papers about mathematics, number theory and combinatorics. The Frénicle standard form, a standard representation of magic squares, is named after him. He solved many problems created by Fermat. He also discovered a taxicab number and in 1693, he described all 880 essentially different normal magic squares of order 4.
Like Fermat, Frénicle was an amateur mathematician, but he wrote letters to famous people such as Descartes, Christiaan Huygens, Mersenne and also Fermat, who was his friend. He is mainly remembered for his discoveries about number theory.
Płońsk
Płońsk is a city in Central Poland in the Masovian Voivodeship. It has a population of 23,000 and has an area of 12 km². It is the birthplace of the Zionist leader and first Prime Minister of Israel, David Ben-Gurion.
Frances Burney
Frances Burney (13 June 1752 – 6 January 1840) was an English novelist, diarist and playwright. She was also known as Fanny Burney. After her marriage, she was known as Madame d’Arblay. She was born in King's Lynn, England. She was born to musician Dr Charles Burney (1726 – 1814) and Mrs Esther Sleepe Burney (1725 – 62). She mostly taught herself. She began writing what she called her "scribblings" when she was ten. Her first novel, "Evelina", was published in 1778. This novel made her very famous. "Cecilia" came out in 1782. It was an even greater critical success. Her major novels, "Evelina", "Cecilia", and "Camilla" are about a young girl. The girls are clever and beautiful, but does not have a lot of experience. The girl goes out into the world and grows in character. Her books were liked by Jane Austen. In 1786, she became Second Keeper of the Robes to Queen Charlotte. She wrote many journals and letters. Her journals and letters have interested historians. In 1793, she married a French exile, General Alexandre D'Arblay. They had a son in 1794. His name was Alexander. He was their only son. While living in France from 1802 to 1812, Burney wrote "The Wanderer". It was a novel about the French Revolution. It was published in 1814. Her last published work was the "Memoirs of Doctor Burney" (1832). She died in London in 6 January 1840. She was buried in Bath near her husband and son.
On 13 June 1752, Frances Burney was born in King's Lynn. She was baptized on the 7th of July. Her older brothers and sisters were Ester (Hetty) (1749 – 1832) and James (1750 – 1821). Her younger brothers and sisters were Susanna Elizabeth (1755-1800), Charles (1757-1817) and Charlotte Ann (1761 – 1838). Susanna Elizabeth became Frances Burney's close friend. James Burney became an admiral. He sailed with Captain James Cook on his second and third trips. The younger Charles Burney was a scholar. Her younger half-sister, Sarah Burney (1772 – 1844), also became a novelist. She published five works that she wrote herself. Esther Sleepe Burney also had two boys who died at birth.