The proof was made for "some" values of formula_1, such as formula_23, formula_24, formula_25 and formula_26, which was managed by many mathematicians including Fermat, Euler, Sophie Germain. However, since there are an infinite number of Pythagorean triples, as numbers count upwards forever, this made Fermat's Last Theorem hard to prove or disprove; the full proof must show that the equation has no solution for all values of formula_1 (when formula_1 is a whole number bigger than 2) but it is not possible to simply check every combination of numbers if they continue forever.
An English mathematician named Andrew Wiles found a solution in 1995, 358 years after Fermat wrote about it. Richard Taylor helped him find the solution . The proof took eight years of research. He proved the theorem by first proving the modularity theorem, which was then called the TaniyamaShimura conjecture. Using Ribet's Theorem, he was able to give a proof for Fermat's Last Theorem. He received the Wolfskehl Prize from Göttingen Academy in June 1997: it amounted to about $50,000 U.S. dollars.
After a few years of debate, people agreed that Andrew Wiles had solved the problem. Andrew Wiles used a lot of modern mathematics and even created new maths when he made his solution. This mathematics was unknown when Fermat wrote his famous note, so Fermat could not have used it. This leads one to believe that Fermat did not in fact have a complete solution of the problem.
Lewinsky scandal
The Lewinsky scandal was an American political sex scandal in 1998. United States President Bill Clinton was said to have had oral sex with 22 year old Monica Lewinsky.
Lewinsky said that she had sex with Bill Clinton nine times from November 1995 to March 1997. According to her published schedule, First Lady Hillary Clinton was at the White House for some of the time on seven of those days. The scandal happened after Linda Tripp leaked the secret phone calls between Clinton and Lewinsky.
Clinton did not admit his affair until the annual White House prayer on September 11, 1998, in the presence of several ministers, priests and his wife, Hillary Clinton, in his "I have sinned" speech. The speech was hand-written by Clinton himself and was delivered on the day of publication of the first report by Independent Counsel Ken Starr, which threatened to impeach President Clinton in the grounds of perjury and his sexual affair with former White House intern, Monica Lewinsky. Clinton was eventually impeached, but not removed from office. Then-President of South Africa Nelson Mandela personally helped President Clinton during his impeachment hearing.
Console
Console can mean:
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Guam
Guam is an island in Micronesia in the Pacific Ocean and is part of the United States. It is a territory and not part of the fifty states. The Chamorro people are the native people from Guam. The capital of Guam is the city of Hagåtña and the largest city is Dededo. Guam has important United States Air Force and Naval bases, which occupy a major part of Guam's land area. Guam is also a popular tourist destination.
Guam was one of the first islands in the Pacific Ocean to be visited by the Europeans. In 1521, while leading the Spanish expedition, Ferdinand Magellan became one of the first European to set foot on Guam. From then on, Guam became an important part of the trade route followed by the Spanish trading ships called Manila Galleon, which sailed between Mexico and the Philippines every year. And in 1668, Spain took over Guam as one of its territory. During this time, the natives assimilated the Spanish culture to a large extent.
In the 1898, Spanish–American War, Spain lost most of its territories to the United States under the Treaty of Paris, including Guam, Cuba, the Philippines, and Puerto Rico. Guam continued to be important due to its strategic location for shipping, and later for air travel in the Pacific. During World War II, Japan occupied Guam in 1941 for 31 months, but lost the territory to the United States soon after. The Chamorro people are spread across Guam and Northern Mariana Islands- which is also a United States territory. However, the Chamorro people from Northern Mariana Islands have not integrated well into the territory as they were under Japanese occupation for about 30 years.
In 1950, the United States Congress passed a law to incorporate the people of Guam as American citizens.
In August 2017, North Korea warned that it might launch mid-range ballistic missiles into waters within 18 to 24 miles of Guam, following an exchange of threats between the governments of North Korea and the United States.
Guam gets most of its money from the United States government. Much of that money is spent on the military bases, but there are also federal grants given to the Guam government for various programs. Because it is only a territory, federal income taxes paid by Guam residents are given to the Guam government for its operations.
Guam is a sought after travel destination. Almost all of these visitors are from Japan. Japanese tourists like Guam because it is closer to Japan than other American places. Guam has lots of hotels and other fun places for people to visit. Tumon Bay is Guam's biggest beach. It has lots of pretty white sand, and the water has lots of fish. Tumon is becoming a busy city.
The number of visitors to Guam has decreased significantly mainly because of economic slowdown in most parts of Asia, which is also the cause for lost jobs in Guam.
Guam is 212 square miles (549 square kilometers) large. In the north part, it has a flat area of coral and limestone rock. The south part has mountains. Around the island is a coral reef.
Guam is next to the Marianas Trench, which is the deepest part of the Earth and underwater. It sometimes has earthquakes, some of which have been very strong.
Guam is a tropical island. It is usually quite warm and wet and the temperature does not change very much. From February to July it is dry, but the rest of the year it is rainy. Sometimes Guam has very strong and dangerous storms in October and November.
Warren G. Harding
Warren Gamaliel Harding (November 2, 1865–August 2, 1923) was the 29th President of the United States (Republican Party). Before becoming president, he was a senator and the assistant governor of Ohio. Before he was in government, he was an important newspaper manager. He was the president starting in 1921 until his death in 1923.
After World War I, he was elected on the promise to return the United States back to normal. He supported limited government in the economy. During his term, he lowered taxes and believed that the economy should not be regulated too much.
Warren G. Harding made the mistake of appointing his friends to high political positions. In result, they corruptly abused their power for their personal gain and several scandals happened during his presidency, including the infamous Teapot Dome scandal based in Teapot Dome in Wyoming and involving Secretary of the Interior Albert Fall. Other untrustworthy people included Edward Doheny and Harry Sinclair.
He died in office of a heart attack in 1923 while he was visiting Alaska.
Harding cheated on his wife with Carrie Phillips, a family friend. She supported Germany during World War I. In fact, many people thought she was a spy.
He also cheated with Nan Britton, who was over 30 years younger than him. He fathered a child with Britton. Afterward, she wrote a book called "The President's Daughter", telling her story, but most people didn't believe her. However, in 2015, DNA testing confirmed that she was telling the truth about the baby.
His vice president Calvin Coolidge became president after he died.
Historians generally consider him one of the worst presidents because of all the scandals he was a part of.
Honduras