... to avoid spurious reflections. Both the soil and pile were modelled with 15-noded elements. Interface elements were placed around the pile to model the interaction. While, the boundaries of geometry was used the distance of 340 meter and the depth was 40 meter to obtain the maximum range of vibration, where the ppv that indicated from the modell shows the ... length 33 m and diametre 0,35 m, it was added dynamic load (~A) on the middle surface of the top of pile. Figure below, shows input geometry for the modell. Figure 1. Geometry modell 2.3 Initiall Condition The triangular mesh was g...

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• Grade Level: High School

... along with Newton and Gauss (10.2. Archimedes shu). He is considered to be the greatest mathematician of antiquity and made his greatest contributions in geometry (Archimedes of Syracuse. math). Archimedes literally invented the study of hydrostatics. In one particular result he was able to compute the maximum angle ... himself using combinations of pulleys. Although he had many good mechanical inventions, he enjoyed mathematical theory more. He was often so into his geometry that his servants would force him to get into a bathtub and, even while his servants anointed him with oils and pe...

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... form, is sheer elegance. Its style is Art Deco. Art Deco Architect in America took the squares, circles, and triangles of plant geometry and merged them with the cone, cube, and sphere of solid geometry to create their own sacred geometry. All of those can be see from the Empire State building. . The shape of the Empire State Building is modeled from a pencil ... ...

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... elaborate court festivals, painting, and sculpting. Also, during that time Leonardo did work on designing buildings, machinery, and weapons. He produced many studies during this time including nature, flying machines, geometry, mechanics, and architecture (Wasserman 10). Leonardo spent a great deal of his time while he was in Milan working on military plans and working on engineering projects, such as plans for ... ). "The Last Supper" took on some of Leonardo's mathematical and scientific studies. Leonardo used one-point liner perspective to organize "The Last Supper" painting (Rathus 3...

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... famous, one would think they would cross paths once in awhile. Leonardo DaVinci was born in 1452, 2he was a few years older than Michaelangelo. Leonardo studied hydraulic-engineering, anatomy and geometry. He would write all of his findings in bound books or notebooks called "codexes" in which he would use his "mirror writing", which goes from right to left (Cumming 28 ... -29). Left-handedness was considered "evil" and was one reason why Leonardo was so isolated from those around him. In the 1500's as he grew older, he became obsessed with geometry. He wrote once in his codexe saying "L...

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... , and his work with the Binomial Theorem. This is only a few theories that that Isaac Newton contributed to the world of mathematics. Newton contributed to all aspects of mathematics including geometry, algebra, and physics. Isaac Newton was born into a poor farming family in 1642 with no father. Newton's father had passed away just a few months before he was born. His mother ... which were likely to develop and enhance his powers. In his first semester Newton happened to discover a book on astrology, but couldn't understand it very well on account of the geometry and trigonometry. He th...

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... book at a fair in Cambridge and found that he could not understand the mathematics in it. Attempting to read a trigonometry book, he found that he didnt have the knowledge of geometry and decided to read Barrow's edition of Euclid Elements. Newton was elected a scholar on April 28,1664 and received his bachelor's degree in April of 1665. It appeared that his ... . In July 1669 Barrow tried to ensure that Newton's mathematical achievements became known to the world. In mathematics, Newton showed early brilliance in his student notes. He may have learnted geometry at school, even though he...

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... imagine the hunt and kill I could not relate the event to a positive outcome. Several years later, while a freshman in high school, I struggled with the same learning challenges. I was enrolled in a geometry class. Mr. Hathaway, my teacher was scolding me for not working hard enough to understand theorems. Yet, for hours I poured over my math books, resorting finally to basic memorization to ... regurgitate the information back to him on a final exam. I barely passed. The concepts of geometry were just too foreign and abstract. I could not relate anything from everyday life to the mater...

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... "Bauhaus" architecture. Common characteristics of International Style buildings are rectangular forms that have been completely stripped of applied decoration, visually weightless qualities, open interior spaces, and an stimulating association with geometry. Glass, steel, and reinforced concrete are the characteristic materials of construction. The International style grew from three phenomena that architects had to deal with. The first problem was the incorporating ... search for an economical architecture that would use the new materials and still appeal to the people's taste. This ki...

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... his name). Often called the father of modern philosophy, he is regarded as the bridge between scholasticism and all philosophy that followed him. Primarily interested in mathematics, he founded Analytic Geometry and originated the Cartesian Coordinates and Cartesian curves. To algebra he contributed the treatment of negative roots and the convention of exponent notation. Descartes also contributed to optics, physiology, and ... : I wouldn't say that one was more important than the other. Although my philosophies and scientific discoveries were revolutionary in thought, my mathematics was...

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... that we learned everything in an earlier life, before we became people. So, we already have all of our knowledge. He demonstrates this theory by asking the slave boy various geometry questions which the slave boy answers correctly (even though they are pretty much just "yes or no" questions)- proving that he knows and understands ... geometry, although he has not learned it previously. Therefore the knowledge was "recollected." As Socrates says in the text, "And if there have been always true thoughts in him, both at ... ...

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... structure our minds, beliefs, and actions. "In his dialogue entitled the Meno, Plato illustrates how Socrates is able to show that even a young uneducated slave boy knows some truths of geometry not because somebody taught him that subject but because be naturally knows the relationship of various ideas to each other." (Stumpf 260) This quote illustrates how Socrates thought that the ... uneducated boy knew geometry. He recollected it from his soul. In the Meno, Socrates states that the boy is "recovering by oneself knowledge within oneself." (Plato 85D) Knowledge in the Meno is perceiv...

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... in his life. One of the most important was Pherekydes. The other two were Thales and his pupil, Anaxmander, both who lived in Miletus. These two philosophers influenced him in geometry and cosmology. Pythagoras was accepted into priesthood at Diospolis in Egypt. It is here where he developed his beliefs which he later imposed on the society that he set up ... proved the theorem, and I have attached his proof to this report. The President was James Garfield. This theorem was one of the greatest discoveries that had an everlasting impact on geometry. The achievements of the Pythagoreans c...

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... and very articulate. The studies in this field has developed and changed over time, from grammar, rhetoric and logic in the ancient Greece and roman era. Expanded even more including geometry, music and astronomy during the medieval times. Even in modern day time's liberal arts education focus to develop you in a wide range of subjects and curriculums, immersing you in the ... ...

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... were told to learn from others and seek for the advancement of learning. The Palace schools often used newly converted European Muslims or other non-Muslims to teach arithmetic and Geometry. The royal court hired distinguished non-Muslims to serve as ambassadors to other countries. Most notably, non-Muslims were often invited to jalsas, the public meetings of the muftis and ... ...

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... not even begin to comprehend. It is completely from the Spirit and something we couldn't wrap our heads around otherwise. These words of knowledge could be as simple as solving a geometry problem at school all the way to getting a Word of Knowledge that someone needs healing from an illness, disease, injury, or any sickness. Our minds are so ignorant compared to ... ...

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... goes through out the rest of the painting. We do not see a lot of symmetry, however with the number of diagonals that exist in this painting, one can say that geometry is found in one way or another. For instance, many of the figures are organized together in groups of three, usually a woman who is protecting her child from a soldier. Some ... ...

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... covers slightly over thirteen acres. Amazingly, this pyramid is completely level and perfectly square. Due to this fact we can conclude that the Egyptians were extremely gifted in math and geometry. How these blocks were moved from the quarry to the work site is still a mystery. We can speculate that they were dragged because there was not enough surface area on ... ...

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... student has mastered material in a given grade or course. The content of these tests a reading test, for example, would not have any other material on it but the reading material. A geometry test would not have algebra or simple math on it. Many states and school districts have adopted standards in recent years. Many states are now mandating standards based tests. These ... ...

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... of leader." Hitler's School Report-1905 Adolf Hitler Steyr Realschule 16 September 1905 Moral Conduct 3 Satisfactory Diligence 4 Erratic Religion 4 Adequate Geography and History 4 Adequate Mathematics 5 Inadequate Chemistry 4 Adequate Physics 3 Satisfactory Geometry 4 Adequate Freehand Drawing 2 Praiseworthy Gymnastics 1 Excellent Handwriting 5 Unpleasing Hitler had a poor relationship with his father, who could not accept his son's lack of self-discipline and his interests in art ... ...

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... high heat and high pressure. With the cold wall we need to make sure it can dissipate heat at a reasonable amount of time. Now we need to think about the geometry of the construction. Something cylindrical would be good because it can withstand high amounts of pressure but is harder to manufacture. It also creates a problem with loading and unloading the ... ...

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... , Illinois, a new suburb of Chicago, where they lived and raised their five children. In this house you can see one of the strongest principles of Wrights architectural career, which is geometry and clear shapes that interlock in a dynamic harmony. This first fully acknowledged residence's most striking external feature is the monumental shingled gable that shelters the house and covers the entrance ... ...

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... in the right way. Rousseau did not believe that a child this young was able to learn history because they were just facts and they couldn't comprehend it; the same with geometry and fables. Emile needed to grasp knowledge first before he learned about facts or at least that is what Rousseau believed. By teaching this way Rousseau felt that the individual ... ...

• Word Count: 1891
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... was important because it was useful. They needed ways to measure their fields, and predict the size of their crops, and figure out supplies, so they created a simple arithmetic and geometry. There were only 7 signs for numbers. There was no zero and no multiplication or division. To multiply they added the number to itself as many times as needed. They developed ... ...

• Word Count: 1494
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... was important because it was useful. They needed ways to measure their fields, and predict the size of their crops, and figure out supplies, so they created a simple arithmetic and geometry. There were only 7 signs for numbers. There was no zero and no multiplication or division. To multiply they added the number to itself as many times as needed. They did ... ...

• Word Count: 1787
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• Grade Level: High School