Approximation

The author first explains that approximations of pi had no further practical use once the accuracy increased passed the twentieth digit or so, yet mathematicians still continued to approximate as many digits as accurately as they could. He accomplished this by first providing examples of…

On December first of 1913, Henry Ford installed the first moving assembly line for mass production on an automobile. This innovation took the time to produce one car down from 12 hours to two hours. Leonhard Euler did the same thing for mathematics. He created easier ways of solving simple, and complex, problems. If not for Leonhard Euler’s discoveries, we wouldn’t have Euler’s Method, or much of the mathematical notation and analysis we have today. Leonhard Euler was born on April 15, 1707 in…

I imagine that the experience of conditioning Apollo has been much like human parenting: exciting and equally frustrating. After 6 days, Apollo probably thinks he has been successfully training us instead. Since he is a younger rat, it was necessary for Apollo to be well socialized and used to interacting with us. He was not receptive at first, but very quickly after became used to us and his environment. One particular issue in the beginning was his insistence on squeaking when we made contact…

LINEAR WAVE THEORY Linear wave theory can be defined as first-order, small amplitude gravity wave with a sinusoidal shape. This theory has been developed by Airy in 1845. It is easy to apply and give reasonable approximation of wave characteristic for a wide range of wave parameters. However, in some situations, waves are better described by higher order theories or also referred as finite-amplitude wave theories. Although there are limitations to its application, linear theory is still useful…

Rosseland Radiation Model The Rosseland Model (Diffusion approximation model) is applicable when the medium is optically thick i.e. the optical thickness is much greater than 1 where a is the absorption coefficient of the medium, σ is the scattering coefficient of the medium and L is the average path length. The radiative heat flux is approximated as [3], (2.13) where qr is the radiative heat flux, Γ is the radiative diffusivity and G is the incident radiation. In contrast to the P-1 model…

phase angle, in its own plate and the temperature of the plate is increased to as shown in figure 5.1. Then by Boussinesq’s approximation, the governing boundary layer equations are ... 5.1 ... 5.2 ... 5.3 The boundary conditions for the velocity, temperature and concentrations fields are ... 5.4 Invoking Rosseland approximation for radiative heat flux we get ...…

2.2.2.2. Speech Acts According to Searle (1969) it is a subfield of pragmatics which is concerned with the ways in which words can be used not only to present information but also to carry out actions. According to Searle's view (1969), there are only five illocutionary points that speakers can achieve on propositions in an utterance: assertive, commissive, directive, declaratory and expressive illocutionary points. Speech act is the use of speech focusing on the speakers’ intention of…

Of those philosophers who seek to define life in some way, mostly positively, there are a set of provoking souls who seek to uproot any optimistic perspective such as Friedrich Nietzsche. He sees life as a bleak, ephemeral, meaningless, and deceptive time from birth until death as he explains in the essay “On Truth and Lie in an Extra-Moral Sense.” One of the subjects he especially focuses on is the topic of metaphors in language and naming empirical objects that surround us. When a human hears…

to the class difference it was instead Nick that struggled, this was attributed to use of pseudo-gangster approximations that enabled Allan to fit in better than they did with Nick. This study demonstrated…

The history of mathematics in the near consisted of three distinct divisions of time. The mid-third millennium is when there became evidence for knowledge of symmetry and geometry. Then continuing on into the later third millennium the establishment of accounting for time and labor became prevalent as well as the use of the sexagesimal place value system. The first systematic accounting techniques were developed in the southern Iraq city of Uruk as a result of a growth in the size of the city by…