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Elliptical galaxies have a large range in size. The giant elliptical galaxy can be over a more 1 million light years and the smallest (know as "dwarf elliptical galaxy") are less than one-tenth the size of Milky Way The size of an elliptical galaxy can be measured as an effective radius which defines the area from which half its light comes. The mass of elliptical galaxy is also large. A giant elliptical galaxy can have mass of 10 (many trillions) of solar masses.
A lenticular galaxy is a galaxy seen in a disc shape. Determining the shape of a lenticular galaxy is difficult because the shape can be between spiral galaxy and elliptical galaxy. The shape can be known by looking at the bulge of the galactic center. If the bulge is very bright, it is a spiral galaxy
Geometry
Geometry is the part of mathematics that studies the size, shapes, positions and dimensions of things. We can only see or make shapes that are flat (2D) or solid (3D), but mathematicians (people who study math) are able to study shapes that are 4D, 5D, 6D, and so on.
Squares, circles and triangles are some of the simplest shapes in flat geometry. Cubes, cylinders, cones and spheres are simple shapes in solid geometry.
Plane geometry can be used to measure the area and perimeter of a flat shape. Solid geometry can also measure a solid shape's volume and surface area.
Geometry can be used to calculate the size and shape of many things. For example, geometry can help people find:
Geometry is one of the oldest branches of mathematics. Geometry began as the art of Surveying of land so that it could be shared fairly between people. The word "geometry" is from a Greek word that means "to measure the land". It has grown from this to become one of the most important parts of mathematics. The Greek mathematician Euclid wrote the first book about geometry, a book called "The Elements".
Plane and solid geometry, as described by Euclid in his textbook Elements is called "Euclidean Geometry". This was simply called "geometry" for centuries. In the 19th century, mathematicians created several new kinds of geometry that changed the rules of Euclidean geometry. These and earlier kinds were called "non-Euclidean" (not created by Euclid). For example, hyperbolic geometry and elliptic geometry come from changing Euclid's parallel postulate.
Non-Euclidean geometry is more complicated than Euclidean geometry but has many uses. Spherical geometry for example is used in astronomy and cartography.
Geometry starts with a few simple ideas that are thought to be true, called axioms. Such as:
Graph theory
Graph theory is a field of mathematics about graphs. A graph is an abstract representation of: a number of points that are connected by lines. Each point is usually called a "vertex" (more than one are called "vertices"), and the lines are called "edges". Graphs are a tool for modelling relationships. They are used to find answers to a number of problems.
Some of these questions are:
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A visualization of the Seven Bridges of Königberg. Leonhard Euler solved this problem in 1736, which led to the development of topology, and modern graph theory.
A graph is an abstract data structure. It holds nodes that are usually related to each other. A node is a dataset, typically in the form of ordered pairs. Nodes are either connected or not connected to another node. The relation between nodes is usually defined as an Edge. Graphs are useful for their ability to associate nodes with other nodes.
There are a few representations of Graphs in practice.
Leonhard Euler used to live in a town called "Königsberg." (Its name changed to Kaliningrad in 1946). The town is on the river Pregel. There is an island in the river. There are some bridges across the river. Euler wanted to walk around and use each of the bridges once. He asked if he could do this. In 1736, he published a scientific article where he showed that this was not possible. Today, this problem is known as the Seven Bridges of Königsberg. The article is seen as the first paper in the history of graph theory.
This article, as well as the one written by Vandermonde on the "knight problem," carried on with the "analysis situs" initiated by Leibniz. Euler's formula was about the number of edges, vertices, and faces of a convex polyhedron was studied and generalized by Cauchy and L'Huillier, and is at the origin of topology.
The fusion of the ideas coming from mathematics with those coming from chemistry is at the origin of a part of the standard terminology of graph theory. In particular, the term "graph" was introduced by Sylvester in an article published in 1878 in "Nature".
One of the most famous and productive problems of graph theory is the four color problem: "Is it true that any map drawn in the plane may have its regions colored with four colors, in such a way that any two regions having a common border have different colors?"
Graph theory is an important part of mathematics and computer science. To many such problems, exact solutions do exist. Many times however, they are very hard to calculate. Therefore, very often, approximations are used. There are two kinds of such approximations, Monte-Carlo algorithms and Las-Vegas algorithms.
Goatee
A goatee is a beard formed by a tuft of hair under the chin, resembling that of a billy goat.
Herm
Herm is the smallest of the Channel Islands that is open to the public.
Herm is only 1½ miles long. Cars are banned from the small island just like its Channel Island neighbour, Sark. Unlike Sark, bicycles are banned too. The sandy white beaches make Herm a walker's paradise.
Population: 60 (2002).
History
History is the study of past events. People know what happened in the past by looking at things "from" the past including sources (like books, newspapers, and letters) and artifacts (like pottery, tools, and human or animal remains.) Libraries, archives, and museums collect and keep these things for people to study history. A person who studies history is called a historian. A person who studies pre-history and history through things left behind by ancient cultures is called an archaeologist. A person who studies mankind and society is called an anthropologist. The study of the sources and methods "used to study and write" history is called historiography.
People can learn about the past by talking to people who remember things that happened at some point in the past. This is called oral history. For example, when people who had been slaves and American Civil War survivors got old, some historians recorded them talking about their lives, so that history would not be lost.
In old times people in different parts of the world kept separate histories because they did not meet each other very often. Some groups of people never met each other. The rulers of Medieval Europe, Ancient Rome and Ancient China each thought that they ruled the only important parts of the world and that other parts were "barbarian". But they were still connected, even if they didn't realize it.
Current events, modern economic history, modern social history and modern intellectual history take very different views of the way history has affected the way that we think today.
Health
Health is "a state of complete physical, mental, and social well-being and not merely the absence of disease" according to the World Health Organization (WHO). "Physical" is about the body. "Mental" is about how people think and feel. "Social" talks about how people live with other people. It is about family, work, school, and friends.
Physical fitness refers to good body health. It is dependent on genetic determinators and also on social, economic and ecological factors. That means, one's genes are partly responsible for one's physical health, but also other circumstances: where you live, how clean or polluted your water and the air around you is and also how good your social and medical system is. It is also the result of regular exercise, proper diet and nutrition, and proper rest for physical recovery. A person who is physically fit will be able to walk or run without getting breathless and they will be able to carry out the activities of everyday living and not need help. How much each person can do will depend on their age and whether they are a man or woman. A physically fit person usually has a normal weight for their height. The relation between their height and weight is called their Body Mass Index. A taller person can be heavier and still be fit. If a person is too heavy or too thin for their height it may affect their health. Better health is central to human happiness and well-being. It also makes an important contribution to economic progress, as healthy populations live longer, are more productive, and save more. Many factors influence health status and a country's ability to provide quality health services for its people.
Mental health refers to a person's emotional and psychological well-being. "A state of emotional and psychological well-being in which an individual is able to use his or her thinking and emotional (feeling) abilities, function in society, and meet the ordinary demands of everyday life."
One way to think about mental health is by looking at how well a person functions. Feeling capable and efficient; being able to handle normal levels of stress, have good friends and family, and lead an independent life; and being able to "bounce back," or recover from hardships, are all signs of mental health.It’s normal for all of us to feel worried, sad, upset, or have difficult emotions from time-to-time. For most people though, these feelings are only temporary and are resolved without causing any long-term problems. However, for some people, these negative feelings can become worse over time and lead to a mental health problem such as depression, anxiety, stress or obsessive-compulsive disorder (OCD).
Public health refers to trying to stop a disease that is unhealthy to the community, and does not help in long life or promote your health. This is fixed by organized efforts and choices of society, public and private clubs, communities and individuals.
It is about the health of many people, or everybody, rather than one person. Public health stops instead of encouraging a disease through surveillance of cases. To prevent being sick, it is good to act according to some simple advice: Hand washing, regular check-ups, vaccination programmes, drinking clean water and using condoms. When infectious diseases break out, washing hands for about 30 seconds may be especially important. Sometimes it is necessary to avoid masses of people or wear a surgical mask to protect yourself and to stop the spreading of the disease. Teaching people how to live healthily and educate them, especially about sex and child-birth, is also very important.
Harbor
Harbour means to shelter or keep safe. A harbor (or harbour) is a place where ships may shelter. Some harbours are used as ports to load and unload ships. The port will have quays or piers where the ships may be moored or tied up and a transport system for taking goods inland. Often railway and road transport will be used. Goods also move by pipeline transport and by smaller ships on rivers.
Harbors can be natural as in San Francisco or artificial as in ancient Carthage or a mix of both. During the D-Day operations of 1944, two artificial harbors (named mulberry) were built just off the beaches where the invasion was going to happen.
Hawaii
Hawaii (sometimes spelled "Hawai'i".) is a U.S. state and the only U.S. State that is in Oceania. It is the last state that joined the United States, becoming a state on August 21, 1959. It is the only state made only of islands. Hawaii is also the name of the largest island. The capital and largest city of Hawaii is Honolulu on the island named Oahu.
Hawaii is known as the "Aloha State". "Aloha" is a Hawaiian word that has many meanings like welcome, hello and goodbye. Aloha also means love and care. The different meanings are brought together in the term "Aloha Spirit" to describe the friendly people of Hawaii.
Hawaii is an archipelago, a long chain of islands. There are eight main islands and many small islands and atolls. They are the tops of underwater volcanos. The main islands are Niihau, Kauai, Oahu, Molokai, Lanai, Kahoolawe, Maui and Hawaii.
The first people of Hawaii were Polynesians. They came to the islands sometime between 200 and 600 AD. Captain James Cook is given credit for discovering the islands for the Europeans in 1778. Others may have been there before him. Captain Cook named the islands the Sandwich Islands for the fourth Earl of Sandwich, John Montague.
Kamehameha I was the first king of Hawaii. He united the separate small Hawaiian kingdoms into one large kingdom in 1795. In 1893, American soldiers stopped Queen Liliuokalani from leading Hawaii when American business people took over the government and made their own laws. She was the last monarch of Hawaii. She also wrote the original words of the song called "Aloha Oe".
The American business people made Hawaii into a republic for a short time. The new leader, Sanford Dole was called the President of Hawaii. In 1898, the United States of America took over the government and made Hawaii into a territory. In 1959, Hawaii became the fiftieth American state.
The biggest industry of Hawaii is tourism. Almost 7 million people visited in 2000. Important exports are sugar, pineapple, macadamia nuts, and coffee.
Popular tourist sites include Waikiki Beach, Hawaii Volcanoes National Park, Polynesian Cultural Center, and the USS Arizona Memorial at Pearl Harbor.
The state flower is the yellow hibiscus ("Hibiscus brackenridgei" or ). The state bird is the Hawaiian goose (nene). The state fish is the reef triggerfish, also called the '. The state tree is the candlenut, also called "kukui". The state song is Hawaii Ponoi. The state motto is '. In English it says, "The life of the land is perpetuated in righteousness".
Notes
Honolulu
Honolulu is the capital city of the U.S. state of Hawaii. It is also the largest city in Hawaii and it has the most important harbor. It is on the south-east shore of the island of Oahu.
Honolulu means "sheltered harbor" in the Hawaiian language. No one knows for sure when Honolulu was first settled or when the name was first used.
Honolulu harbor was called Kulolia before foreigners came. The first foreigner was Captain William Brown of the English ship Butterworth, in 1794. He named the harbor Fair Haven. Other foreign captains is started calling it Brown's Harbor. The name Honolulu was used some time after that.
Honolulu quickly became the most important harbor of Hawaii. At that time, sandalwood was a big export. Honolulu was also an important supply point for whalers.
Kamehameha III made Honolulu the capital city of the Kingdom of Hawaii in 1850. It was also the capital of the Republic of Hawaii and the Territory of Hawaii. It stayed the capital when Hawaii became a state in 1959.
Hawaii (island)
The Island of Hawaiʻi is the largest U.S. Hawaiian Island, and it is the farthest south. It is also called the "Big Island." Its area is 4,038 sq. miles (10 458 square kilometers). The widest part of the island is 93 miles (150 km) across.
The Big Island has more than half (~62%) of the total land area of State of Hawaii. It is part of County of Hawaii.
The island is seven separate shield volcanos that erupted more or less one at a time, one partly covering the other. These are (from oldest to youngest): Kohala (extinct), Mauna Kea (dormant), Hualalai (dormant), Mauna Loa (active), Kulani (extinct, mostly buried), and Kilauea (very active). The volcanos were caused by the Pacific oceanic tectonic plate moving over a hotspot. There lava from the Earth's lower mantle or upper core is close to the surface.
The largest city on the island is Hilo. Hilo has many historic buildings, interesting shops, parks, many performances, festivals and events. It is on the rainy, east side of the island. The city of Kailua-Kona is on the dry, west side of Hawaii, and is popular with tourists.
Hawaii Ponoi
"Hawai`i Pono`i" is the state song of Hawaii. The words were written by King David Kalakaua, the music by Prof. Henry Berger, the Royal Bandmaster. "Hawai`i Ponoi" was also the anthem of the Kingdom of Hawai`i and the Territory of Hawai`i.
Hawai`i pono`i<br>
Nana i kou, mo`i<br>
Kalani Ali`i,<br>
ke Ali`i.<br>
Makua lani e<br>
Kamehameha e<br>
Na kaua e pale<br>
Me ka ihe.<br>
Hawai`i's own true sons,<br>
be loyal to your chief<br>
Your country's liege and lord,<br>
the ali'i.<br>
Father above us all,<br>
Kamehameha<br>
Who guarded in the war<br>
With spears.<br>
Healing
Healing is a process that happens in the body. Through healing, cells are able to repair damaged tissue.
There are two different ways healing can happen:
Most healing processes combine both ways of healing.
History of Australia
People have lived in Australia for over 65,000 years. The first people who arrived in Australia were the Aboriginal people and Torres Strait Islanders. They lived in all parts of Australia. They lived by hunting, fishing and gathering.
Aborigines invented tools like the boomerang and spear. There is also evidence that the Aboriginal people used farming methods. Tradition was very important in their lives. Their religion is called the Dreamtime, which has lots of stories about the creation of the world by spirits. Aboriginal art started at least 30,000 years ago and there are lots of Dreaming stories painted on walls and cut in rocks all around Australia. Aboriginal music has songs about the Dreamtime, sometimes with special instruments like the didgeridoo.
In 1606 the first European, Dutch explorer Willem Janszoon (1571–1639), visited the west. Luis Vaez de Torres sailed through the water between Australia and New Guinea later that year.
Only after Dirk Hartog chanced upon the west coast in 1616 did other European vessels visit and map the coast. After sixty more ships visited the coast, enough was known for a map to be published in 1811. The land was dry because of not much rain; some was a desert. The explorers thought no crops could be grown and so it would be difficult for people to live there. They decided there would be no economic reasons to stay.
In 1642, Dutchman Abel Tasman, working for the Dutch East Indies Company reached Tasmania, which he called Antony van Diemenslandt. He then called the continent he charted the north coast of on his second visit in 1644 New Holland. In 1688, William Dampier became the first Englishman to reach Australia. But in 1770 a British sailor, Captain James Cook, found the fertile east coast of Australia. He called it New South Wales, and claimed it for Britain.
Englishman Matthew Flinders published his map of the coast in 1814, calling it Australia for the first time, a name later formally adopted by the authorities.
The British decided to use the land visited by Captain Cook as a prison colony. Britain needed a place to send its convicts (people who had been sent to jail for theft and other crimes) because its gaols were full and it had just lost its American colonies in the American War of Independence. In 1788 the British First Fleet of 11 ships, carrying about 1500 people arrived at Botany Bay (Sydney). Arthur Phillip led them as the first Governor of New South Wales. About 160 000 convicts were brought to Australia from 1788 until 1868. Free immigrants began arriving in the 1790s.
For the first few years they did not have much food, and life was very hard. But soon they began to farm, and more people came. Sydney grew, and new towns were started. Wool brought good money. By 1822, many towns had been set up and people from the towns often visited Sydney for additional economic resources.
Soon people from Sydney found other parts of Australia. George Bass and Matthew Flinders sailed south to Tasmania and a colony was started at Hobart in 1803. Hamilton Hume and William Hovell went south from Sydney by land. They found the Murray River, and good land in Victoria. Thomas Mitchell went inland, and found more rivers. In 1826, the first British military outpost was set up at King George Sound in Western Australia. The Swan River Colony was started in 1829, with townsites at Fremantle and Perth. In 1836, a free-settler colony was started in South Australia, where no convicts were ever sent. Queensland became a separate colony in 1859. As the towns and farms spread across Australia, the Aboriginal people were pushed off their land. Some were killed, and many died from illness and hunger. Soon, Australia's Aborigines were outnumbered by Europeans, and many were made to live on reserves.
The goldrushes of New South Wales and Victoria started in 1851 leading to large numbers of people arriving to search for gold. The population grew across south east Australia and made great wealth and industry. By 1853 the goldrushes had made some poor people very rich.
Convict transportation ended in the 1840s and 1850s and more changes came. The people in Australia wanted to run their own country, and self-govern. The first governments in the colonies were run by Governors chosen by London. Soon the settlers wanted local government and more democracy. The New South Wales Legislative Council, was created in 1825 to advise the Governor of New South Wales, but it was not chosen by voters. William Wentworth established the Australian Patriotic Association (Australia's first political party) in 1835 to demand democratic government for New South Wales. In 1840, the Adelaide City Council and the Sydney City Council were started and some people could vote for them (but only men with a certain amount of money). Then, Australia's first parliamentary elections were held for the New South Wales Legislative Council in 1843, again with some limits on who could vote. "The Australian Colonies Government Act" [1850] allowed constitutions for New South Wales, Victoria, South Australia and Tasmania. In 1850 elections for legislative councils were also held in the colonies of Victoria, South Australia and Tasmania.