the-french-artist/wikipedia_20220301.simple_sentence_embeddings huggingface dataset:
Rotation 
 A circular motion about an external point (for example the Earth around the Sun) is called an orbit or more properly orbital revolution.
Rotation 
 The term rotation is also used in aviation to refer to the upward pitch of an aircraft, particularly when starting the major climb for takeoff.
Rotation 
 A Ferris wheel and observation wheel have a horizontal central axis, and parallel axes for each gondola, where the rotation is opposite, by gravity or mechanically.
Moment (physics) 
 In physics, moment of force (often just moment) is a measure of a force's tendency to cause a body to rotate about a specific point or axis.
Moment (physics) 
 The lever, pulley, gear, and most other simple machines create mechanical advantage by changing the moment arm.
Moment (physics) 
 The Principle of Moment states that when a system is in equilibrium the sum of its CLOCKWISE MOMENTS equals the sum of its ANTICLOCKWISE MOMENTS.
Moment (physics) 
 Some examples where moments (turning effect) are applied involve levers, like seesaws, opening and closing doors, nutcrackers, can openers, and crowbars.
Moment (physics) 
 A lever is a simple machine in which one force called the effort is used to overcome another force called the load.
Moment (physics) 
 The principle of moments is derived from Archimedes' discovery of the operating principle of the lever.
Moment (physics) 
 In the lever one applies a force, in his day most often human muscle, to an arm, a beam of some sort.
Moment (physics) 
 Archimedes noted that the amount of force applied to the object, the moment of force, is defined as M = rF, where F is the applied force, and r is the distance from the applied force to object.
Tensile strength 
 Tensile strength is a measurement of the force required to pull something such as rope, wire, or a structural beam to the point where it breaks.
Tensile strength 
 The tensile strength of a material is the maximum amount of tensile stress that it can take before failure, for example breaking.
Tensile strength 
 Yield strength is the stress which will cause a permanent deformation of 0.2% of the original dimension.
Tensile strength 
 Note: Multiwalled carbon nanotubes have the highest tensile strength of any material yet measured, with labs producing them at a tensile strength of 63 GPa, still well below their theoretical limit of 300 GPa.
Tensile strength 
 However, as of 2004, no macroscopic object constructed of carbon nanotubes has had a tensile strength remotely approaching this figure, or substantially exceeding that of high-strength materials like Kevlar.
Grand Duchess Anastasia Nikolaevna of Russia 
 Grand Duchess Anastasia Nikolaevna of Russia (, ,  – 17 July 1918) was the youngest daughter of Tsar Nicholas II of Russia and his wife Alexandra Fyodorovna.
Grand Duchess Anastasia Nikolaevna of Russia 
 She was a sister of Grand Duchess Olga, Grand Duchess Tatiana, Grand Duchess Maria, and Alexei Nikolaevich, Tsarevich of Russia.
Grand Duchess Anastasia Nikolaevna of Russia 
 The bodies of the Tsar, Tsarina, and three daughters were found in a grave near Yekaterinburg in 1991; however, the bodies of Alexei Nikolaevich and one of his sisters (either Anastasia or Maria) were not there.
Grand Duchess Anastasia Nikolaevna of Russia 
 In January 2008, Russian scientists said that the remains of a young boy and woman found near Yekaterinburg in August 2007 might be the missing bodies.
Grand Duchess Anastasia Nikolaevna of Russia 
 On 30 April 2008, Russian scientists used DNA testing to prove that they were the Tsarevich Alexei and his sister.
Grand Duchess Anastasia Nikolaevna of Russia 
 In March 2009, the last results of the DNA testing were published by Dr. Michael Coble of the US Armed Forces DNA Identification Laboratory.
Grand Duchess Anastasia Nikolaevna of Russia 
 However, DNA testing in 1994 on pieces of Anderson's tissue and hair showed that she was not related to the Imperial family.
Grand Duchess Anastasia Nikolaevna of Russia 
 In honor of her birth, her father forgave the students who had been put in prison for joining in riots in St. Petersburg and Moscow.
Grand Duchess Anastasia Nikolaevna of Russia 
 Because this made Anastasia an "Imperial Highness", she was higher in rank than other Princesses in Europe who were "Royal Highnesses".
Grand Duchess Anastasia Nikolaevna of Russia 
 They slept on hard camp cots without pillows when they were healthy, took cold baths in the morning, and had to clean their rooms and sometimes sew.
Grand Duchess Anastasia Nikolaevna of Russia 
 Most of their servants usually called Anastasia by her first name instead of calling her "Her Imperial Highness".
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia was also called "Malenkaya", meaning "little (one)", or "shvibzik", the Russian word for "imp".
Grand Duchess Anastasia Nikolaevna of Russia 
 Margaretta Eagar, Anastasia's governess, said that somebody had once called young Anastasia the most charming child he had ever seen.
Grand Duchess Anastasia Nikolaevna of Russia 
 Lili Dehn said that Anastasia was "pretty", but had "more of a clever face, and her eyes were wells of intelligence".
Grand Duchess Anastasia Nikolaevna of Russia 
 Pierre Gilliard, Sydney Gibbes, and ladies-in-waiting Lili Dehn and Anna Vyrubova said that Anastasia was funny and good at acting.
Grand Duchess Anastasia Nikolaevna of Russia 
 Once at a snowball fight, she rolled a rock into a snowball and threw it at her older sister, Tatiana.
Grand Duchess Anastasia Nikolaevna of Russia 
 Princess Nina Georgievna, Anastasia's cousin, said that "Anastasia was nasty to the point of being evil".
Grand Duchess Anastasia Nikolaevna of Russia 
 She said that Anastasia would get angry when her friends won games, or when the younger Nina was taller than she was.
Grand Duchess Anastasia Nikolaevna of Russia 
 Hallie Erminie Rives, an American writer, described how Anastasia ate chocolates without taking off her white opera gloves at the St. Petersburg opera house when she was 10-years-old.
Grand Duchess Anastasia Nikolaevna of Russia 
 Their older sisters Olga and Tatiana were known as "The Big Pair", because they shared a room as well.
Grand Duchess Anastasia Nikolaevna of Russia 
 They made this nickname from the first letters of their first names, Olga, Tatiana, Maria, and Anastasia.
Grand Duchess Anastasia Nikolaevna of Russia 
 She disliked this, and when it was time to be massaged, she would hide under her bed or in cupboards.
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia's older sister, Maria, is said to have hemorrhaged in December 1914 during an operation to remove her tonsils.
Grand Duchess Anastasia Nikolaevna of Russia 
 The doctor performing the operation was so shocked that Maria's mother, Tsarina Alexandra, had to order him to continue.
Grand Duchess Anastasia Nikolaevna of Russia 
 Some carriers of the gene are not hemophiliacs themselves, but they can have signs of hemophilia, like bleeding more than most people.
Grand Duchess Anastasia Nikolaevna of Russia 
 DNA testing on the remains of the royal family proved in 2009 that Alexei suffered from Hemophilia B. His mother and one of his sisters were carriers.
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia and her sisters were told to treat Rasputin as "Our Friend" and to tell him their secrets.
Grand Duchess Anastasia Nikolaevna of Russia 
 In the autumn of 1907, Anastasia's aunt Grand Duchess Olga Alexandrovna of Russia went to the nursery with the Tsar to meet Rasputin.
Grand Duchess Anastasia Nikolaevna of Russia 
 Rasputin's friendship with the Imperial children can be seen in some of the messages he sent to them.
Grand Duchess Anastasia Nikolaevna of Russia 
 In February 1909, Rasputin sent them a telegram, saying, "Love the whole of God's nature, the whole of His creation in particular this earth.
Grand Duchess Anastasia Nikolaevna of Russia 
 But in 1910, Sofia Ivanovna Tyutcheva told other people in the family that Rasputin was allowed to see the four girls when they were wearing their nightgowns.
Grand Duchess Anastasia Nikolaevna of Russia 
 Tyutcheva told Nicholas's sister, Grand Duchess Xenia Alexandrovna of Russia, that Rasputin visited and talked to the girls while they were getting ready for bed, and hugged and patted them.
Grand Duchess Anastasia Nikolaevna of Russia 
 Tatiana wrote to her mother on 8 March 1910, that she was "so afr(aid) that S.I. (governess Sofia Ivanovna Tyutcheva) can  our friend something bad".
Grand Duchess Anastasia Nikolaevna of Russia 
 Xenia wrote on 15 March 1910 that she did not understand "the attitude (behavior) of Alix and the children to that sinister Grigory".
Grand Duchess Anastasia Nikolaevna of Russia 
 In the spring of 1910, Maria Ivanovna Vishnyakova, a royal governess, said that Rasputin had raped her.
Grand Duchess Anastasia Nikolaevna of Russia 
 Grand Duchess Olga Alexandrovna was told that they had made an investigation to see if what Vishnyakova said was true, but that "they caught the young woman in bed with a Cossack of the Imperial Guard."
Grand Duchess Anastasia Nikolaevna of Russia 
 I am always asking Mama when you will  think of you always, my dear, because you are so good to me ..."
Grand Duchess Anastasia Nikolaevna of Russia 
 Soon after, pornographic cartoons were printed about Rasputin having relations with the Empress, her four daughters and Anna Vyrubovna.
Grand Duchess Anastasia Nikolaevna of Russia 
 However, though the rumors continued, the imperial family continued to be friendly with Rasputin until he was murdered on 17 December 1916. "
Grand Duchess Anastasia Nikolaevna of Russia 
 Our Friend is so contented (happy) with our girlies,  souls have much developed," Alexandra wrote to Nicholas on December 6, 1916.
Grand Duchess Anastasia Nikolaevna of Russia 
 Later, A.A. Mordvinov reported in his memoirs that the four Grand Duchesses looked "cold and visibly terribly upset" by Rasputin's death.
Grand Duchess Anastasia Nikolaevna of Russia 
 He added that they sat "huddled up closely together" on a sofa on the night they heard he was killed.
Grand Duchess Anastasia Nikolaevna of Russia 
 Mordvinov remembered that they were sad and seemed to feel the beginning of great political troubles.
Grand Duchess Anastasia Nikolaevna of Russia 
 After they were killed by the Bolsheviks, it was discovered Anastasia and her sisters were all wearing amulets with Rasputin's picture and a prayer on it.
Grand Duchess Anastasia Nikolaevna of Russia 
 During World War I Anastasia and her sister Maria visited hurt soldiers at a hospital at Tsarskoye Selo.
Grand Duchess Anastasia Nikolaevna of Russia 
 Because they were too young to become Red Cross nurses like their mother and older sisters, they played checkers and billiards with the soldiers and tried to make them happy instead.
Grand Duchess Anastasia Nikolaevna of Russia 
 Felix Dassel, who was treated at the hospital, remembered that Anastasia had a "laugh like a squirrel", and walked quickly "as though she tripped along."
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia and her family were placed under house arrest at the Alexander Palace in Tsarskoye Selo during the Russian Revolution.
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia and her family were moved to the Ipatiev House (House of Special Purpose), at Yekaterinburg.
Grand Duchess Anastasia Nikolaevna of Russia 
 At Tobolsk, she wrote a sad theme for her English teacher, filled with spelling mistakes, about Evelyn Hope, a poem by Robert Browning about a young girl. "
Grand Duchess Anastasia Nikolaevna of Russia 
 This was because Alexandra, Nicholas and Maria had had their things taken away when they arrived in Ekaterinburg.
Grand Duchess Anastasia Nikolaevna of Russia 
 Demidova wrote to Tegleva about this, using code words for the jewels such as "medicines" and "Sednev's belongings".
Grand Duchess Anastasia Nikolaevna of Russia 
 Pierre Gilliard remembered his last sight of the children: "The sailor Nagorny, who attended to Alexei Nikolaevitch, passed my window carrying the sick boy in his arms, behind him came the Grand Duchesses loaded with valises and small personal belongings.
Grand Duchess Anastasia Nikolaevna of Russia 
 Nagorny tried to come to her assistance (help); he was roughly pushed back by one of the commisars ..." Baroness Sophie Buxhoeveden, too, spoke of her last sad memory of Anastasia: "Once, standing on some steps at the door of a house close by, I saw a hand and a pink-sleeved arm opening the topmost (highest) pane.
Grand Duchess Anastasia Nikolaevna of Russia 
 They could not see me through their windows, and this was to be the last glimpse that I was to have of any of them!"
Grand Duchess Anastasia Nikolaevna of Russia 
 She and other members of her family performed plays for their parents and others in the spring of 1918.
Grand Duchess Anastasia Nikolaevna of Russia 
 In the letter, she described a moment of joy, even though she was sad, lonely, and worried about her sick brother Alexei: "We played on the swing, that was when I roared with laughter (laughed loudly), the fall was so wonderful!
Grand Duchess Anastasia Nikolaevna of Russia 
 I told the sisters about it so many times yesterday that they got quite fed up (tired)", adding, "One could simply shout with joy."
Grand Duchess Anastasia Nikolaevna of Russia 
 In his memoirs, Alexander Strekotin, one of the guards at the Ipatiev House, called Anastasia "very friendly and full of fun".
Grand Duchess Anastasia Nikolaevna of Russia 
 She was lively, and was fond of (enjoyed) performing comic mimes with the dogs, as though they were performing in a circus."
Grand Duchess Anastasia Nikolaevna of Russia 
 Another guard, however, called her "offensive and a terrorist" and complained about some of her sharp remarks.
Grand Duchess Anastasia Nikolaevna of Russia 
 According to some accounts, Anastasia once became so unhappy about the locked, painted windows that she opened one to get fresh air.
Grand Duchess Anastasia Nikolaevna of Russia 
 They later said that Anastasia and her family fell on their knees during the prayers for the dead, which they had not done before.
Grand Duchess Anastasia Nikolaevna of Russia 
 They joked and helped move the beds in their shared bedroom so that the cleaning women could clean the floors.
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia even stuck her tongue out at Yakov Yurovsky, the head of the guards, when he turned his back and left the room.
Grand Duchess Anastasia Nikolaevna of Russia 
 As the Whites (people who were still faithful to the Tsar and autocracy) came more toward Yekaterinburg, the Reds felt afraid.
Grand Duchess Anastasia Nikolaevna of Russia 
 They claimed it was because of the possible violence which might happen when the White Army reached Yekaterinburg.
Grand Duchess Anastasia Nikolaevna of Russia 
 When they were dressed, the family and the few servants were led to a small room in the house's basement.
Grand Duchess Anastasia Nikolaevna of Russia 
 Thick smoke and dust filled the room from the shooting, so the gunmen left the room for a few minutes.
Grand Duchess Anastasia Nikolaevna of Russia 
 A gunman named Ermakov tried to shoot Tsarevich Alexei, but the jewels in the boy's clothes protected him.
Grand Duchess Anastasia Nikolaevna of Russia 
 Ermakov was drunk during the murders, and it is possible his shot did not go entirely through her head.
Grand Duchess Anastasia Nikolaevna of Russia 
 When Olga and Tatiana were shot, they were killed instantly, so Maria was probably the one who screamed.
Grand Duchess Anastasia Nikolaevna of Russia 
 Ermakov told his wife that Anastasia was killed by a bayonet, and Yurovsky wrote that as the bodies were carried out, one or more of the girls cried out and were hit on the back of the head with a club.
Grand Duchess Anastasia Nikolaevna of Russia 
 From 1920 to 1922, Anna Anderson, the most famous person who pretended to be Anastasia, grew very famous.
Grand Duchess Anastasia Nikolaevna of Russia 
 She claimed that she had pretended to be dead, then escaped with the help of a kind guard that saved her from the dead bodies after seeing she was still alive.
Grand Duchess Anastasia Nikolaevna of Russia 
 Her legal struggle to be recognized as Anastasia from 1938 to 1970 was a controversy for her whole life.
Grand Duchess Anastasia Nikolaevna of Russia 
 In 1994, a tissue sample from Andersen in a hospital was used for DNA tests with the blood of Prince Philip, Duke of Edinburgh.
Grand Duchess Anastasia Nikolaevna of Russia 
 Dr. Gill, who did the tests, decided that if "you accept that these samples came from Anna Anderson, then Anna Anderson could  related to Tsar Nicholas or Tsarina Alexandra."
Grand Duchess Anastasia Nikolaevna of Russia 
 Anderson's DNA matched with a great-nephew of Franziska Schanzkowska, a missing Polish factory worker.
Grand Duchess Anastasia Nikolaevna of Russia 
 Some people who supported Anderson agreed that the DNA tests showed she could not have been the Grand Duchess.
Grand Duchess Anastasia Nikolaevna of Russia 
 Less famous people who pretended to be Anastasia were Nadezhda Ivanovna Vasilyeva and Eugenia Smith.
Grand Duchess Anastasia Nikolaevna of Russia 
 A priest took care of two young women who said that they were Anastasia and her sister Maria in the Ural Mountains in 1919.
Grand Duchess Anastasia Nikolaevna of Russia 
 People reported that trains and houses were being searched for 'Anastasia Romanov' by soldiers and secret police.
Grand Duchess Anastasia Nikolaevna of Russia 
 When she was put in prison for a short time at Perm in 1918, Princess Helena Petrovna, the wife of Anastasia's distant cousin, Prince Ioann Konstantinovich of Russia, said that a guard took a girl who called herself Anastasia Romanova to her cell and asked her if the girl was the Tsar's daughter.
Grand Duchess Anastasia Nikolaevna of Russia 
 Others in Perm later said that they saw Anastasia, her mother and sisters in Perm after they were killed, but this was only a rumor.
Grand Duchess Anastasia Nikolaevna of Russia 
 Surprisingly, the rumors that had started to hide the fact that the family was dead helped the rumors that they were alive.
Grand Duchess Anastasia Nikolaevna of Russia 
 A few days after they had been killed, the German government sent telegrams to Russia asking for "the safety of the princesses of German blood".
Grand Duchess Anastasia Nikolaevna of Russia 
 Russia had signed a peace treaty with the Germans and did not want to tell them that the women were dead.
Grand Duchess Anastasia Nikolaevna of Russia 
 Another time, eight people said that they saw a young woman being captured at a railway station at Siding 37 in September 1918 after trying to escape.
Grand Duchess Anastasia Nikolaevna of Russia 
 These people were Maxim Grigoyev, Tatiana Sitnikova and her son Fyodor Sitnikov, Ivan Kuklin and Matrina Kuklina, Vassily Ryabov, Ustinya Varankina, and Dr. Pavel Utkin.
Grand Duchess Anastasia Nikolaevna of Russia 
 Some of these people said that the girl was Anastasia when they saw photographs of the grand duchess by White Russian Army investigators.
Grand Duchess Anastasia Nikolaevna of Russia 
 Dr. Pavel Utkin also told the investigators that the girl, whom he had helped in Perm when she was hurt, had said, "I am the daughter of the ruler, Anastasia."
Grand Duchess Anastasia Nikolaevna of Russia 
 During that time, there were similar stories of young people in Russia saying that they were Romanovs who had escaped.
Grand Duchess Anastasia Nikolaevna of Russia 
 Boris Soloviev, the husband of Rasputin's daughter Maria, defrauded many important Russian families by asking for money for a Romanov to escape to China.
Grand Duchess Anastasia Nikolaevna of Russia 
 Soloviev was helped by young women who pretended to be one of the grand duchesses to help trick the families.
Grand Duchess Anastasia Nikolaevna of Russia 
 Some suggest that there might have been a way for a guard to save anyone in the family who still lived.
Grand Duchess Anastasia Nikolaevna of Russia 
 Yakov Yurovsky ordered the guards to come to his office and give him the things they had stolen after the murder.
Grand Duchess Anastasia Nikolaevna of Russia 
 At that time, it is said that there was a short time when the killed bodies were left in the truck and in the basement of the house.
Grand Duchess Anastasia Nikolaevna of Russia 
 Some guards who had not joined in the murders and had felt sorry for the grand duchesses were left in the basement with the bodies.
Grand Duchess Anastasia Nikolaevna of Russia 
 In 1953, Peter Zamiatkin told a 16-year-old person being treated at a hospital that he had taken Anastasia and Alexei to the village where he was born near Odessa.
Grand Duchess Anastasia Nikolaevna of Russia 
 Zamiatkin said that after the rest of the family had been killed, he escaped with the children on a ship. "
Grand Duchess Anastasia Nikolaevna of Russia 
 In 1991, the place where the Imperial family and their servants were supposedly buried as found in the woods outside Yekaterinburg.
Grand Duchess Anastasia Nikolaevna of Russia 
 It had actually been found almost ten years earlier, but had been kept hidden by the people who discovered it.
Grand Duchess Anastasia Nikolaevna of Russia 
 DNA and studies on their skeletons showed that they were the bodies of Tsar Nicholas II, his wife, and three of the Grand Duchesses (Olga, Tatiana, and Maria).
Grand Duchess Anastasia Nikolaevna of Russia 
 They were the bodies of the family's doctor (Yevgeny Botkin), valet (Alexei Trupp), cook (Ivan Kharitonov) and Alexandra's maid (Anna Demidova).
Grand Duchess Anastasia Nikolaevna of Russia 
 When some of the pieces of bone in the skulls were missing, they guessed how long or wide it was instead.
Grand Duchess Anastasia Nikolaevna of Russia 
 At that time, a body that measured about 5 feet, 7 inches (170 cm) was buried as the body of Anastasia.
Grand Duchess Anastasia Nikolaevna of Russia 
 Photographs of her standing next to her sisters six months before she died show that Anastasia was a few inches shorter than all of them.
Grand Duchess Anastasia Nikolaevna of Russia 
 The "Yurovsky Note" showed that two of the bodies were taken from the main grave and burned secretly to hide the burials of the Imperial family.
Grand Duchess Anastasia Nikolaevna of Russia 
 However, on 23 August 2007, a Russian archaeologist declared that he had found two burned skeletons near Yekaterinburg, at a place which seemed to match what was described in Yurovsky's writings.
Grand Duchess Anastasia Nikolaevna of Russia 
 The archaeologists said that the bones were from a boy who was about 10 to 13, and a young woman who was between 18 and 23 years old.
Grand Duchess Anastasia Nikolaevna of Russia 
 Anastasia was 17 years and one month old when she was killed; Maria was 19 years, one month old, and Alexei was just two weeks before his fourteenth birthday.
Grand Duchess Anastasia Nikolaevna of Russia 
 Many international laboratories such as the Armed Forces DNA Identification Laboratory and Medical University of Innsbruck did DNA tests.
Grand Duchess Anastasia Nikolaevna of Russia 
 The bodies of Tsar Nicholas II, Tsarina Alexandra, and three of their daughters were buried in the St. Catherine Chapel at St. Peter and Paul Cathedral in St. Petersburg on 17 July 1998.
Grand Duchess Anastasia Nikolaevna of Russia 
 The stories of how Anastasia might have escaped became the subject of theatrical and television movies.
Grand Duchess Anastasia Nikolaevna of Russia 
 The story was about a woman who acts the character of Anastasia in a Hollywood movie, and is later recognized by the Russian soldier who saved her.
Grand Duchess Anastasia Nikolaevna of Russia 
 Ingrid Bergman acted Anna Anderson, Yul Brynner was General Bounine (a fictional character based on several real men), and Helen Hayes as the Dowager Empress Marie, Anastasia's grandmother.
Grand Duchess Anastasia Nikolaevna of Russia 
 The movie is about a woman from an asylum who came to Paris in 1928 and was captured by some Russian émigrés who use her so that they can fool Anastasia's grandmother into thinking Anderson actually is her granddaughter.