Free Essays on Pascals Triangle

Blaise Pascal Blaise Pascal was a great mathematician from the 17th Century. He was born on June 19, 1623 in Clermont, France. His father’s name was Etienne. Etienne was a local judge at Clermont and like Pascal had an interest in science. His mother was Antoinette Begon who died when Pascal was only three. He had two sisters named Gilberte and Jacqueline. At the age of eight, Pascal’s father moved his family to Paris to keep up his scientific studies and to carry on the education of Pascal who showed exceptional ability. He did not allow Pascal to work so he could concentrate on his studies. But Pascal at first was not allowed to study mathematics. He was confined to the study of languages. When Pascal was twelve years old he got very curious about geometry so he asked his tutor in what geometry consisted. He was so interested about it that he used to give up his play time to this new study and in a few weeks had discovered for himself many properties of figures, and in particular the proposition that the sum of the angles of a triangle is equal to two right angles. His father, surprised by this display of ability, gave him a copy of Euclid’s â€Å"Elements†. Pascal read the book and mastered it. This won him respect for his great talent in mathematics. So Pascal’s attention began to focus on analytical geometry and physics. Pascal did not attend school and because of his interests in geometry at the age of fourteen Pascal was admitted to meetings of French geometricians. At the age of sixteen he wrote an essay on conic sections and at age eighteen, he constructed the first arithmetical machine. When he was nineteen years old, Pascal began to create a machine that would be similar to an everyday calculator to help his father with his accounting job. After that Pascal worked on many mathematical problems, including how gases and fluids behave. In 1654, when Pascal was 31 he created â€Å"Pascal’s Triang... Free Essays on Pascal's Triangle Free Essays on Pascal's Triangle Blaise Pascal Blaise Pascal was a great mathematician from the 17th Century. He was born on June 19, 1623 in Clermont, France. His father’s name was Etienne. Etienne was a local judge at Clermont and like Pascal had an interest in science. His mother was Antoinette Begon who died when Pascal was only three. He had two sisters named Gilberte and Jacqueline. At the age of eight, Pascal’s father moved his family to Paris to keep up his scientific studies and to carry on the education of Pascal who showed exceptional ability. He did not allow Pascal to work so he could concentrate on his studies. But Pascal at first was not allowed to study mathematics. He was confined to the study of languages. When Pascal was twelve years old he got very curious about geometry so he asked his tutor in what geometry consisted. He was so interested about it that he used to give up his play time to this new study and in a few weeks had discovered for himself many properties of figures, and in particular the proposition that the sum of the angles of a triangle is equal to two right angles. His father, surprised by this display of ability, gave him a copy of Euclid’s â€Å"Elements†. Pascal read the book and mastered it. This won him respect for his great talent in mathematics. So Pascal’s attention began to focus on analytical geometry and physics. Pascal did not attend school and because of his interests in geometry at the age of fourteen Pascal was admitted to meetings of French geometricians. At the age of sixteen he wrote an essay on conic sections and at age eighteen, he constructed the first arithmetical machine. When he was nineteen years old, Pascal began to create a machine that would be similar to an everyday calculator to help his father with his accounting job. After that Pascal worked on many mathematical problems, including how gases and fluids behave. In 1654, when Pascal was 31 he created â€Å"Pascal’s Triang...

About Mary Dyer, Quaker Martyr

About Mary Dyer, Quaker Martyr Mary Dyer was a  Quaker martyr in colonial Massachusetts. Her execution, and the religious freedom initiatives taken in memory of that, make her a key figure in American religious freedom history.   She was hanged on  June 1, 1660. Mary Dyer Biography Mary Dyer was born in England in about 1611, where she married William Dyer. They emigrated to the Massachusetts colony in about 1635, the year they joined a Boston church. Mary Dyer sided with Anne Hutchinson  and her mentor and brother-in-law, Rev. John Wheelwright, in the Antinomian controversy, which challenged the doctrine of salvation by works as well as challenging  the authority of the church leadership .   Mary Dyer lost her franchise in 1637 for her support of their ideas.   When Anne Hutchinson was expelled from church membership, Mary Dyer withdrew from the congregation. Mary Dyer had given birth to a stillborn child the fall before she left the church, and neighbors speculated that that the child had been deformed as divine punishment for her disobedience. In 1638, William and Mary Dyer moved to Rhode Island, and William helped found Portsmouth.   The family thrived. In 1650, Mary accompanied Roger Williams and John Clarke to England, and William joined her in 1650. She remained in England until 1657 after William returned in 1651.   In these years, she became a Quaker, influenced by George Fox. When Mary Dyer returned to the colony in 1657, she came through Boston, where the Quakers were outlawed. She was arrested and jailed, and her husbands plea led to her release. He had not yet converted, so he was not arrested.   Then she went to New Haven, where she was expelled for preaching about Quaker ideas.   In 1659, two English Quakers were jailed for their faith in Boston, and Mary Dyer went to visit them and to bear witness. She was jailed and then banished on September 12. She returned with other Quakers to defy the law, and was arrested and convicted. Two of her comrades, William Robinson, and Marmaduke Stevenson,   were hanged, but she received a last-minute reprieve when her son William petitioned for her.   Again, she was banished to Rhode Island.  She returned to Rhode Island, then traveled to Long Island. On May 21, 1660, Mary Dyer  returned to Massachusetts to again defy the anti-Quaker law and protest the theocracy that could limit Quakers from that territory. She was again convicted.   This time, her sentence was carried out the day after her conviction. She was offered her freedom if she would leave and remain out of Massachusetts, and she refused.    On June 1, 1660, Mary Dyer was hanged for refusing to comply with anti-Quaker laws in Massachusetts. Mary and William Dyer had seven children. Her death is credited with inspiring Rhode Islands Charter of 1663 granting religious freedom, which is in turn credited with inspiring part of the First Amendment in the Bill of Rights added to the Constitution in 1791. Dyer is now honored with a statue at The State House in Boston. Bibliography The Antinomian Controversy, 1636 - 1638: A Documentary History. David D. Hall, editor.Ingle, H. Larry. First Among Friends: George Fox and the Creation of Quakerism Mary Dyer: Biography of a Rebel Quaker.Larson, Rebecca. Daughters of Light: Quaker Women Preacher and Prophesying in the Colonies and Abroad, 1700-1775Plimpton, Ruth T. Mary Dyer: Biography of a Rebel Quaker

Summarize Taylor article Example | Topics and Well Written Essays - 250 words

Summarize Taylor - Article Example of preserving some form of status quo that management is comfortable that it divests an efficient worker of his potential to produce more than what is expected of him. These attitudes become a problem since it cultivates a culture where the labor force stagnate instead of grow. Scientific management is a solution offered by Taylor where it seeks to cultivate a new form of mentality where there is a new manner of setting an equilibrium that integrates the worth of the working man with the aid of efficiency that technology can provide. He offers four principles which starts with the assimilation of new set of ideals that have worked in the past to formulate a better set of understanding that will yield improved results. The next puts focus on establishing skilled managers who will guide in the new way of administrating the principle of scientific management. Perhaps the most important of these principles is the third which is the bringing together of science and man to a common goal. The final principle is what differentiates it from all other which is the division of work which gives direct correlation to the significance of technology in improving output while keeping the working man assured of his worth in the production process