Hyperbola Research Paper Example | Topics and Well Written Essays - 750 words

Hyperbola - Research Paper Example Different conics have different ranges of eccentricity. Hence a type of conic is identified by the value of eccentricity and if the value of eccentricity is greater than one then the conic is named as hyperbola. Hyperbola is logically very close to that of ellipse in all its mathematical features. The basic and fundamental difference between the ellipse and a hyperbola is enumerated by the difference in the eccentricity value since ellipse eccentric value is greater than zero but less than 1. Actually this difference can be understood in 2D as for ellipse the sum of distances from foci and a point on that of ellipse is fixed. Whereas in hyperbola it is the difference in the distances from foci and a point on hyperbola is fixed. The diagram of a hyperbola reveals the fact that a hyperbola is actually composed of two parts which are disjoined with each other and two parts are positioned on equal distances with each other. As the value of the eccentricity of hyperbola come closer to 1 t he edges of the cups of the hyperbola are lessened with each other coming closer on the other hand if the value of eccentricity increases the edges of the cup widens and the two ends of cup go more far with each other. 1. Mathematical And Geometric Features In Hyperbola Hyperbola has many geometric and mathematical features as that of ellipse. ... There is another axis at the centre of hyperbola which is perpendicular to that of traverse axis and is called as conjugate axis. The conjugate axis is just like a minor axis as in the case of ellipse. Likewise the transverse axis in a hyperbola is just like a major axis in the ellipse. The centre is a point across which all geometric features are located. This centre point is the intersection of the two axes i.e. the traverse axis and the conjugate axis. The centre point can be located at origin as well as it can be replaced to some point like (h, k), in such case of replacement of centre point the equations and calculations are made accordingly and become bit difficult to solve. The traverse axis is normally parallel to X axis (horizontal) or exactly placed on it, but in other cases the traverse axis can be shifted to Y axis (vertical) for this reason a new hyperbolic curvature is obtained. When the transverse axis is placed on X axis the conjugate axis will be placed on Y axis. Bu t when traverse axis is placed on Y axis the conjugate axis will be shifted to X axis. When traverse axis is placed on or parallel to X axis (horizontal), the ‘x’ component in standard equation of hyperbola is taken as positive. If the transverse axis is placed on or parallel to Y axis (vertical), the ‘y’ component in standard equation of hyperbola is taken as positive while the other ‘x’ component is taken as negative. 2. Hyperbolic Classification There are different types of hyperbola categorized on the basis of their orientation and characteristics. Hyperbolae centre can be placed on origin and as well as any where except origin. Hyperbole transverse axis can be parallel to X axis (horizontal axis), can be made parallel

Language and Culture Essay Example | Topics and Well Written Essays - 2500 words

Language and Culture - Essay Example Language can affect the  culture  of a society, especially when the  society  borrows, and then modifies  alien  words from other cultures to  fit  in their own. As such this changes the  culture  making it evolve with time. Language use within a text refers to the combination of various forms of the  linguistic  and  grammatical  technique used within the context with the aim of communicating a message to another party. Its uses can  be  in many different ways and purposes; it  is spoken, written, and referred, from visual representations. Language  is used  to  work, play, praise, insult, court and reduce among other reasons. Throughout the use of language,  various  techniques  are applied  to  simplify  its meanings also to  create  interest  and  humor  such as through the use of rhyme and repetition to create a  musical  effect. The use of  language  can be categorized into much broader uses categories which are the  evocative, the expressive, the performative, the evaluative and the informative. This is for  clear  communication of information and there the use of  various  linguistic techniques. ... For instance, throughout the website the  writer  uses terms such as â€Å"you are not alone† in the start of a  sentence  when describing the  occurrence, effects and handling of peer pressure. This is an already constructed  phrase, and it passes information relating with most people within the society; thus, effectively and  immediately  passing the information to the readers. It also reduces the necessity of  grammatical  correction and the  application  of  further  grammatical  techniques within this part of the text. Within the various passage texts in the website, there are  various  words used that are of other and similar linguistic  background.  These are words obtained from other languages, or are a combination of two or more different ancient  language  words that sum up to the meaning of the intended, in the English context.  Words used such as microscope derived from the Greek words "mikros" referring to  puny  and "skopein" referring to look or  see, the two combined in English forms the word microscope meaning an  instrument  used in the viewing and investigations of objects that minute, and cannot be seen by the naked eye. Semantics The  linguistic  statement  semantics developed from the Greek word semantic, and it refers to the study of meaning focusing on the relation between the use of signifiers such as phrases, words, signs and what they  denote  in the text, in linguistics. It tries to  denote  meaning through the understanding of  different  human expressions through language.  This includes the use puns and conations, among others, in an English language  context  to  magnify  the expressed  message  and to ensure the readers' undivided attention.  It also acts as a  way  of reducing monotony, thus,