Rational number

Previously, the common belief relating to knowledge was that it is a defined justified true belief. However in the era of exponential discoveries, knowledge is perceived as something that can be reviewed and revisioned over time. The vast discoveries of our yesterdays, todays, and tomorrows have led humanity to define knowledge,and all we gain from it, as an objective fact, that can be supported or denied by progression. This progression may be, but not limited to: evidence, discoveries,…

The great Russian playwright Antov Chechov once stated, “Knowledge is of no value unless you put it into practice.” In other words, knowledge is only useful when incorporated into practical use. The problem with this statement is that there is no definitive scale or criteria that measures the worth and value of knowledge. Leading to the question, to what extent can we determine the value of knowledge? From one perspective, knowledge is something that can be easily acquired, but is only useful…

The movie “the Number 23”, is a chilling movie surrounded around the life of a man named Walter Sparrow. Walter Sparrow throughout the movie displays symptoms of what one might first see as a personality disorder, but in actuality he suffered from memory loss which came from the result of attempted suicide. Walter Sparrow is fighting with his own mind and throughout the movie there are certain things that trigger his thoughts to come back. Walter Sparrow in the movie starts out as an animal…

In case of evenness index J´ of species, highest value of 1 was found in sample 8 that have similar relative abundance of species or equal number of individuals belong to each species while species evenness was 0 in samples that also have 0 value of Shannon index that indicates less species diversity result in only one or few species dominate. Remaining samples have moderately high species…

“Sophie Germain’s Theorem can be applied for many prime exponents, by producing a valid auxiliary prime, to eliminate the existence of solutions to the Fermat equation involving numbers not divisible by the exponent p” (Laubenbacher and Pengelley, 9). Legendre later used Germain’s findings in a supplement to the second edition of his book, Essai sur le Théorie des Nombres (O’Connor and Robertson). The Institut de France awarded Germain…

as the following: 〖ax〗^2+bx+c=0. Next, the constant number is to be moved to the other side of the equation. Another important rule in math is that whenever a number is moved, the sign changes. In this case the constant “c” is positive, and later changed as “-c” when moved to the right side of the equation. As a result, it should look like the…

Fluid dynamics and Bernoulli's equation Moving fluids Fluid dynamics is the study of how fluids behave when they're in motion. This can get very complicated, so we'll focus on one simple case, but we should briefly mention the different categories of fluid flow. Fluids can flow steadily, or be turbulent. In steady flow, the fluid passing a given point maintains a steady velocity. For turbulent flow, the speed and or the direction of the flow varies. In steady flow, the motion can be represented…

A Description of the Problem For the problem-solving report, we have a 4x4 grid that we have to find as many rectangles as we can. The rectangles that can be found on the 4x4 grid ranges from 1x1 rectangles to a 4x4 rectangle. According to MathisFun.com a rectangle is, “a 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. Example: Another factor we have to consider is the lines provided on the 4x4 grid…

The renowned fairy tale, Beauty and the Beast, originated from La Belle et la Bete; which was written by Madame Gabrielle-Suzanne de Villeneuve, in 1740. In 1756, Jeanne-Marie Le Prince de Beaumont, a French novelist, revised the fairy tale to shorten the length and be appropriate for children. In Madame’s original version of Beauty and the Beast, was drawn-out, being over 300 pages long. Jeanne made various changes to La Belle et la Bete; she took out the sexuality component and numerous…

The theme of fear takes central plot of this novel. This is explicitly evident in all characters that, at a very young age, are exposed to ruthless survival tactics. From the onset of the novel to its final chapters, fear takes preeminence in all their actions as it is the single most walls that keep the boys from reasonable decisions and questioning their very curiosity. Golding employed the role of fear given that he understood the kind of images that fear would create in his novel. All the…