Hyperbolic geometry

The solution of the Frank and Doris race problem looked to be simple at first. Although Doris speed began faster, Frank gained speed and passed her and thus seemed to be the winner of the race. After looking more closely at the problem I discovered this was not quite the case. I first sketched Frank and Doris given values onto the one Velocity-Time graph. Originally looking at this graph, it looks as if Frank passes Doris at 10 seconds, because that is when his speed becomes greater than Doris’s…

would provide an apparent opening in the animal’s exoskeleton. Instead, this mechanism is a saddle-shaped device called a hyperbolic paraboloid (Patek, 2004). This shape allows a reduction of stress by allocating the potential energy over a three-dimensional surface. This is dissimilar to a spring because the latter only compresses in one direction whereas the hyperbolic paraboloid can bend both upwards and downwards while compacting itself (Patek, 2004). Immediately after the paraboloid…

A tessellation is a group of shapes fitted together closely, and example would be a polygon in a repeated pattern with no gaps or no overlapping. You can tile floors with them or just make a fun design there are many things you can do with them. They are in bathrooms, kitchens, on quilts, etc. You may have never noticed what they were. In the article (Tessellations) by Dana Mackenzie, it talks about how tessellation are all over the world in many ways. They are used in a lot of different…

how it is possible for corporeal things to exist, as well as introduce you the mind and body problem. Descartes will at one-point doubt everything, even his existence, which means he is willing to use hyperbolic thought. He does this because he is going after the indubitable truth. He puts his hyperbolic thought in action when he introduces the Dream Hypothesis and The Evil Demon Hypothesis in order to prove that the senses…

Before The Meditation In our daily lives, a great many of us assume without a shadow of doubt the plausibility of things, which with closer inspection, are usually found to be plagued with incongruences that only a great deal of discernment provides the means that enable us to know what it is that we really wish to know. In the search for certainty, it is true for anyone to derive knowledge from their immediate experience, which is in part used as a sense experience. However, it is also true to…

Curve: showing reservoir flow direction Most of the computer programs are essential as they allow multiple forecasting hence giving a sensitive analysis especially on computed variables. It uses harmonic and hyperbolic approaches covering forecast having upside projection and useful facility designs. It requires to determine appropriate measures from the production restricting on the computation data (Hansen & Espedal, 2000). Fields under pump producing high volumes of water and linear…

The cosine was developed as the sine of the complement of the angle, and notation for cosine was also varied. The term sinus residuae was used by Viete while Gunter preferred co-sinus in the year 1620. Cavalieri used Si.2, Oughtred used s co arc and Wallis used S [2]. The tangent and cotangent developed out of the need to calculate the height of an object casting a shadow of a certain length, which was of critical importance for the sundial. Thales is known to have used the method of lengths of…

According to Lo (2007), the efficient markets hypothesis (EMH) maintains that market prices fully reflect all available information. It was developed independently by Paul A. Samuelson and Eugene F. Fama in the 1960s, this idea has been applied extensively to theoretical models and empirical studies of financial securities prices, generating considerable controversy as well as fundamental insights into the price-discovery process. Ang (2011) stated that the early theoretical articulations of…

Constantly visiting and studying this mural sparked his thought process of how the way things are viewed. Kurt used perspective to fool the viewer’s eye into believing that his artwork was actually three dimensional. He called this type of geometry, Wenner’s hyperbolic perspective; which is basically a fancy way of saying optical illusion (Wenner). His art work can trick you into believing that there is a 200 foot deep…

I think that if 'cogito ergo sum ' is the foundation of Descartes ' project in the Meditations, the existence of God is the cornerstone that joins the internal and the external world, making knowledge possible beyond the sole account of the self. Therefore, God 's existence has a major role in the overall argument - it is that which enables the thinker to take the first steps towards the 'unification of sciences '. However, in my opinion, it is not employed correctly, as Descartes, in…