Differential geometry

Everyone is created equal, in all shapes and sizes. When one looks at a different person that is not "normal", what does one think? Does one feel sorry for them or does one laugh? There are many ways people can react to a person with autism. Is there really any difference between someone that is deaf or someone that has a mental illness from a "normal" person? Can autistic people think like "regular" people? Although people with autism are not always treated as "regular" people, they should have…

a certain point on a curve. Newton and a partner created a derivative function that would give the slope at any point on a function. The name for calculating the slope of a curve or derivative of a curve or function is called differentiation or differential calculus. Establishing this made is easy to calculate the slope of any point on a curve. All you have to do is plug in x into the function. It is still used today and can be used in a variety of circumstances. For example on a time-distance…

were wrong. This shows that Bernoulli was interested in pressure and had not yet solved the problem of it yet, but was heading in the right direction. The third part was on the Riccati differential equation, which was created by Jacopo Riccati and was the base of the Bernoulli equation. The fourth part was a geometry question concerning about figures bounded by two arcs of a circle. Also while in Venice, Daniel designed an hourglass that could be used at sea and would trickle sand at a constant…

Sophie Germain is one of France’s greatest female mathematician prior to revolutionary war, she was the daughter of Ambroise-François Germain and Marie-Madeleine Gruguelu. Her father worked as a part time deputy to the State-General. In his speeches he gave he referred to himself as a merchant and ardently defended the rights of the Third Estate, which he was there to represent. Somewhat later in his life time he became one of the directors of the Banque de France or in English the Bank of…

From the historical point of view, the first shell models (like many other structural models) have been developed on the basis of engineering evaluation of experiments and heuristic assumptions. The first consistent theory of thin shells goes back to August E.H. Love in 1888 [Lov1888]. As Love’s publication is based on Kirchhoff’s work, this shell model became known as the Kirchhoff-Love model, Kirchhoff is credited to be the founder of modern plate theory with his publication in 1850 [Kir1950].…

tunnel. Nowadays, the inter modular joints are used for immersed tunnels (IT) in the form of flexible joint that performs many tasks such as: to ensure the waterproofing, to limit the relative displacement to avoid excessive stress increments due to differential settlements & to assure the equilibrium of the structure. In the previous application, monolithic joints were used which proved to be…

John had become a Savilian professor of geometry at the University of Oxford, and had marked the beginning of intense mathematical activity. It almost lasted uninterruptedly to his death. Bonaventura Cavalieri stimulated Johns’ interest in the age-old problem of the quadrature of the circle, that…

Differential Equations was the course that made me question my decision in taking up Chemical Engineering. I actually had no idea it was this challenging. All I had in mind was that it’s just Calculus 1 and 2 combined. Before we officially started the class, Engr. Cabatingan introduced us the syllabus and made us study it. The topics were “bearable”. However, I really had no idea what was Modeling all about. We even joked about it, more so when we knew that there’s going to be a gallery walk. In…

what extent does practicing mathematics increase the value of knowledge? In mathematics, students learn from practicing over and over again when they acquire new information. For example, in my math class, when we are taught a new topic such as differential calculus, my teacher makes my class do practice problems in class so we understand the topic. By understanding how to differentiate equations, we know why it is valued so much. My teacher also makes sure to give us problems that deal with the…

Abstract:The second order rotatory theory of hydrodynamic lubrication was founded on the expression obtained by retaining the terms containing first and second powers of rotation number in the extended generalized Reynolds equation. In the present paper, there are some new excellent fundamental solutions with the help of geometrical figures, expressions, calculated tables and graphs for the porous bearings in the second order rotatory theory of hydrodynamic lubrication. The analysis of equations…