Fractals Essays - Fractals, Fractal, Benoit Mandelbrot,

Fractals Fractals Review The videotape Fractals was narrated by a writer of science fiction, R.C. Clark, who is the creator of 2001 Space Odessy. Individuals interviewed, experts on the subject included professor Stuart, Dr. Michael Barnsley, Steven Hawkins, author of A Brief History in Time, and creator of the Mandelbrot set, Dr. Benoit Mandlebrot. These men introduced us to their insight of fractals, provided people with much new and fascinating information on this obscure topic, and left the audience with questioning minds. The scientists and experts reporting on fractals gave detailed descriptions of these images. They explained that a fractal is based on simple principles, rather than complicated components, and it was not discovered until the era of modern computers. A fractal is an image comprised of the equation Z z +c, which was formulated by Dr. Mandlebrot. This equation is defined by coordinates and positions on a plane that locate a spot. Fractals are images that are the same all over and their changing patterns can be magnified unlimited times. The patterns and bright colors change regularly and are very consistent. With continuous magnification, a baby Mandlebrot set can be found in every image. Fractals are fragmented; they are fractional images that we are surprisingly accustomed to. These images can be observed in objects we see every day, specifically in nature. From the edges and appearances of clouds, trees, rocks, ferns, and flowers, the fine structure and resemblence of fractals is obvious. Certain objects are examples of the entire fractal, including the Mandela, a religious symbol, stained glass designs in many church windows, the sculpture of Buddha, paintings and the design of blood vessels. It is understood that the fractal can be perceived, but what purpose does it serve? And this is what the scientists are still researching, the actual application of fractals. Fractal dimensions are applied primarily through data, making them a major tool in descriptive science and engineering. The military and NASA also have a use for fractals, which compress data for less difficult transmission to satellites in space. Fractals make pictures of leaves in collages and can reconstruct colorful and precise details of a magnified image. Other than these examples, fractals are presently useless to the common person. However, experts will soon be developing new devices to utilize, but it is practically certain that it will take some time for them to really figure out the fractal.

50 Synonyms for Control

50 Synonyms for Control 50 Synonyms for Control 50 Synonyms for Control By Mark Nichol Numerous words are available to take the place of control to more specifically convey one’s meaning. Here’s a list of synonyms and their senses. 1. Arrest: slow, stop, seize, or catch 2. Block: stop passage or progress; also, chart, shape, or mark outlines, and other meanings 3. Bottle: see restrain; also, literally or figuratively put into a bottle 4. Bridle: restrain as if using a bridle; also, indicate hostility or resentment as if being restrained by a bridle 5. Cap: set a limit on or prevent from growing or spreading; also, provide with a cap or other protection, conclude, or outdo 6. Check: block progress, slow, or stop, or see restrain; also, examine, inspect, or verify, or mark with a check mark or another symbol to indicate that such an action has occurred, and other meanings 7. Choke: obstruct or control growth, and other meanings 8. Circumscribe: control an activity or a range of activities, or surround 9. Confine: hold or keep within limits 10. Constrain: see confine, limit, or restrain, or hold back, or produce in a strained manner 11. Constrict: narrow or reduce 12. Contain: halt or prevent, or enclose or hold 13. Curb: control, or impose a limit 14. Detain: put into custody 15. Enjoin: see forbid, or impose an admonition or order 16. Forbid: order so as to prevent 17. Gag: control freedom of expression or freedom of speech 18. Govern: control or influence actions or exercise legitimate or illegitimate authority 19. Hamper: see impede or restrain; also, disrupt or encumber 20. Handcuff: render powerless or ineffective; also, place handcuffs on 21. Harness: use for a particular purpose 22. Hinder: see impede 23. Hold: see restrain 24. Impede: interfere with; also, slow the progress of 25. Inhibit: see prohibit and restrain, and discourage 26. Keep: see detain or restrain 27. Limit: curtail or reduce; see also restrain 28. Measure: see regulate, and other meanings 29. Mince: restrain speech for the sake of decorum or discretion 30. Muffle: see smother 31. Muzzle: see smother 32. Obstruct: see block or impede 33. Prevent: keep from existing or happening, or hold back 34. Prohibit: see forbid and prevent 35. Quell: overwhelm so as to produce passiveness or submission; also, quiet or pacify 36. Regulate: adjust or set amounts, degrees, or rates, or make laws or rules or bring under control of authority 37. Repress: see prevent and subdue 38. Restrain: keep under control; see also prevent 39. Restrict: see restrain 40. Rule: exercise authority over 41. Silence: see smother 42. Smother: prevent communication or expression; also, deprive of air or otherwise suffocate, and other meanings 43. Squelch: crush or silence, or see quell 44. Stifle: deter or discourage, or cut off, or see smother 45. Stop: put a halt to occurrence or progress 46. Strangle: see hinder and stifle; also, choke or stop someone’s breathing 47. Subdue: see curb; also, conquer, or tone down 48. Suppress: see curb, prevent, smother, and subdue 49. Swallow: keep oneself from expressing 50. Tame: bring under control; also, to humble or soften Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Vocabulary category, check our popular posts, or choose a related post below:50 Idioms About Legs, Feet, and ToesDoes "Mr" Take a Period?Dissatisfied vs. Unsatisfied

No name Coursework Example | Topics and Well Written Essays - 1250 words

No name - Coursework Example 2. (a) In a closed economy, IS curve is the interest rate at which the commodity market is at equilibrium at a given income level. This can be expressed algebraically as Y = C + I + G, where Y is the equilibrium income is the level of consumption, I is the level of investment and G is the government expenditure. It is worth to note that consumption is a function of income while investment is a function of interest rate and government expenditure is a function of tax. Using the equation given above, Y = C + I + G, but C = 100 + 0.4(Y – T) and when this is substituted into the IS equation we obtain Y = 100 + 0.4(Y – T) + I + G, since I = 1000 + 0.1Y – 20i which when replaced to the equation gives Y = 100 + 0.4(Y – T) + 1000 + 0.1Y – 20i + G,note that T= 300 finally the value of G = 100 which when replaced into the equation yield Y = 100 + 0.4(Y – 300) + 1000 + 0.1Y – 20i + 100. When this equation is simplified to give the IS curve we obt ain 0.5Y = 1080-20i and the IS curve will be represented by the equation below; Y = 2160 – 40i. ... IS-LM curve can be attained where there is equilibrium in the commodity market and money market. Using the IS and LM equations and combining them we obtain i= 50 and Y = 160.This means that equilibrium income Y=160 and equilibrium interest rate i=50. This can graphically be represented as: I M i 50 L S 160 Y (b) When the G increases by 100, the IS-LM curve equilibrium Y = 170 while the i=55 and this represents an upward shift in the IS curve as shown below: Io I1 i M 55 50 L S1 S0 160 170 Y (c) When the real money supply reduce by 200, the i=51 while Y=122 and this represents an upward shift in the LM curve as shown below. i I I M1 M0 51 50 L1 L0 S 122 160 Y (a)In an open economy, IS curve can be derived by equating Y= C+I+G+X-M, this can be represented as Y = 100+0.8(1-t)Y + 700-50i+900+700-0.2Y: In simple expression the IS curve will be Y=4000-83i. On the other hand the LM curve will be expressed algebraically as Money Demand equals Money Supply and using the data provided this wil l be 0.25Y – 62.5i = 500. Hence Y= 2000+ 250i (b) The equilibrium income and interest rate in this case will be calculated by equating IS to LM which will be 2000 + 250i =4000-83i and Y= 498 and i= 6. Hence the governments surplus budget will be (X)700- (IM)99 = 600. (c) The equilibrium income Y = 498 therefore, the government expenditure should be increased by 4602 (d)The change in balance of trade will be export less import which is 600 and this is also a government surplus. This employment is sustainable since there is an extra demand for labor to be absorbed in the export sector and this also means that the extra export creates more employment opportunity. (e) The full