ISO THANE EMA elastomeric membrane is a liquid applied coating based on urethane perpolymers which cure by reaction with atmospheric moisture to give a continuous film which is elastic. It contains leafing aluminium which gives execellent U.V. resistance. ISOTHANE EMA is a very high solids coating designed to give a high build film. It can be brush or spray applied (with airless spray equipment) but it has a higher viscosity than a conventional paint and should not be diluted. ISOTHANE EMA curves
Gauss Carl Friedrich Gauss was a German mathematician and scientist who dominated the mathematical community during and after his lifetime. His outstanding work includes the discovery of the method of least squares, the discovery of non-Euclidean geometry, and important contributions to the theory of numbers. Born in Brunswick, Germany, on April 30, 1777, Johann Friedrich Carl Gauss showed early and unmistakable signs of being an extraordinary youth. As a child prodigy, he was self taught in the fields
Differential calculus is associated with the study and analysis of the rates at which quantities transform, and in the determination of the slopes of curves. The principal subject matters of study in differential calculus are the derivative of a function, interrelated concepts such as the differential along with their implementations. On the other hand, Integral Calculus is concerned with the acquisition
inspired by the math he read about and his work related to those mathematical principles. This is interesting because he only had formal mathematical training through secondary school. He worked with non-Euclidean geometry and “impossible” figures. His work covered two main areas: geometry of space and logic of space. They included tessellations, polyhedras, and images relating to the shape of space, the logic of space, science, and artificial intelligence (Smith, B. Sidney). Although Escher worked
different from the calculator as the calculator itself is from log tables. I have an answer to my own question but it would spoil the point of my challenge to say what it is. Think about it and realise how difficult it was to invent non-euclidean geometries, groups, general relativity, set theory, and everything else to do with MATH! Einstein and his Theory What do you think when some one says Einstein, is it Relativity, or E=MC2? What do you think E=MC2 means, well it means Energy=Mass x Speed of
Xander du Plooy Mrs. Virginia Campo Geometry Honors 20 April 2014 The One-Sided Object Why did the chicken cross the Möbius Strip? Well, of course, to get to the same side! Wait, what? Born in 1790, Augustus Ferdinand Möbius would grow up to become a great astronomer and mathematician. Not only this, but his name would be remembered throughout geometry and science as the man who discovered what is known as the Möbius Strip. He discovered the Möbius Strip in September of 1858 and later wrote an article
and Elements of Geometry.” Geometry was derived from the Greek word meaning earth measurement which focuses on the study of shapes, sizes, relative configuration, and spatial properties. Greek mathematician Euclid (300BC) was the first to officially organized geometry into four hundred and sixty five propositions which he later published in thirteen books title “The Elements.” Though he may have been the first to document geometry, it was believed that the practice of geometry began long before
Sutherland’s Differential Association Born August 13, 1883 in Gibbon, Nebraska, Edwin H. Sutherland grew up and studied in Ottawa, Kansas, and Grand Island, Nebraska. After receiving his B.A degree from Grand Island College in 1904, he taught Latin, Greek, History, and shorthand for two years at Sioux Falls College in South Dakota. In 1906 he left Sioux Falls College and entered graduate school at the University of Chicago from which he received his doctorate. (Gaylord, 1988:7-12) While attending
However, no general methods were established. Mathematical analysis was formally developed in the 17th century during the scientific revolution when Leibniz published his first article “New method for the maximum and minimum” in 1684, discussing differentials of powers and of radicals.(1) This article settled
Forward This essay discusses an important view concerning the differential diagnosis of infantile autism. As you will see, the symptomology common to autistic infants mimics that of severely retarded children in the early months of life. In addition, the identification of autism as a "disease" in infants is impeded by the lack of biological evidence to support such a diagnosis. Autism has, in multiple studies, been related to a multitude of organic dysfunction’s. These include everything from
mathematics, physics, engineering, inventing, and astronomy came from the innovations, inventions, and discoveries that were made by both Euclid and Archimedes. Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such
Combinations in Pascal’s Triangle Pascal’s Triangle is a relatively simple picture to create, but the patterns that can be found within it are seemingly endless. Pascal’s Triangle is formed by adding the closest two numbers from the previous row to form the next number in the row directly below, starting with the number 1 at the very tip. This 1 is said to be in the zeroth row. After this you can imagine that the entire triangle is surrounded by 0s. This allows us to say that the next row (row
well-known division of math, known as Geometry. Thus, he was named ‘The Father of Geometry’. Euclid taught at Ptolemy’s University, Egypt. At the Alexandria Library, It was said that he set up a private school to teach Mathematical enthusiasts like himself. It’s been also said that Euclid was kind and patient, and has a sense of humor. King Ptolemyance once asked Euclid if there was an easier way to study math and he replied “There is no royal road to Geometry”. Euclid wrote the most permanent mathematical
deductive geometry. He also discovered theorems of elementary geometry and is said to have correctly predicted an eclipse of the sun. Many of his studies were in astronomy but he also observed static electricity. Phythogoras was a Greek philosopher. He discovered simple numerical ratios relating the musical tones of major consonances, to the length of the strings used in sounding them. The Pythagorean theorem was named after him, although this fundamental statements of deductive geometry was most
The Ellipse, Parabola and Hyperbola Mathematicians, engineers and scientists encounter numerous functions in their work: polynomials, trigonometric and hyperbolic functions amongst them. However, throughout the history of science one group of functions, the conics, arise time and time again not only in the development of mathematical theory but also in practical applications. The conics were first studied by the Greek mathematician Apollonius more than 200 years BC. Essentially, the conics form
determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres or triangles. In addition to its interest as a geometric problem, trilateration does have practical applications in surveying and navigation, including global positioning systems (GPS). In contrast to triangulation, it does not involve the measurement of angles. In two-dimensional geometry, it is known that if a point lies on two circles, then the circle centers and the two radii
counting and record keeping, and they both developed systems of arithmetic (Allen, 2001, p.1). They used computation to find area, volume, circumference, and both used fractions. For both, the arithmetic was used for distribution of goods and the geometry for building. Their mathematics was very practical. What survives from both civilizations is records of problems solved by example. There is no record of generalizing principles or teaching principles supported by examples. This lack of mathematical
of his system.” Postulate 5, the parallel postulate, is today very controversial. Next, Euclid created a list of five common notions, of which only the fourth sparked a little debate. These common notions were more general and were not specific to geometry. After completing all these “preliminaries,” Euclid proved 48 propositions in Book 1. His first proposition was the equilateral triangle construction. However, this proof sparked a lot of controversy because EUclid didn’t prove that the two circles
Leonhard Euler was a Swiss mathematician born on April 15, 1707 in Basel, Switzerland. His parents were Paul Euler and Marguerite Brucker. Euler had two sisters,named Anna Maria and Maria Magdalena, and he was raised in a religious family and would be a faithful calvinist for the rest of his life because of his father being a priest of the Reformed Church and his mother being raised by a dad who was a pastor. Soon after Leonhard Euler was born, his parents moved
my time learning something that I possibly may never use outside of school?” Well, you’d be surprised if you knew all the different careers and jobs that use advanced math every day. For example, carpenters, contractors, and even optometrists use geometry and algebra quite often. Whether you want to believe it or not, math is around you everyday. The buildings you live in, the glasses you wear, and even furniture you sit on all starts with math. A carpenter is a type a craftsman, usually dealing with