Differential geometry

Imagine finding yourself on the sidewalk of a congested metropolitan street in a city you are unfamiliar with when you witness a truck fail to stop at a traffic light and subsequently smash into a sedan. As a self-identified good Samaritan, you choose to contact emergency services. How would you explain to the authorities where to find the scene of the accident? This situation highlights the interaction between cognition, behavior, and the external environment because appraisal from your…

1.2. Brain Development Brain development starts at the embryonic period, more specifically at the fifth week of pregnancy. Figure 1.1 illustrates the timeline of pregnancy by weeks and months of GA (16). In the first months of pregnancy and before birth, the brain experiences the most development and changes in shape, size and structure (17, 18). Most significantly, changes occur in the size of the brain and in the cortical folding. Growth continues rapidly until the brain is two to three years…

By utilizing heat transfer from the hot combustion gases we can determine temperature distribution in the nozzle. If the temperature distribution and heat flux which are time dependent are given on the surface of wall we can find internal temperature distribution. This problem can be classified as direct heat problem. However many heat transfer problems which occur in practical take transient measurements at more than one location to find heat flux and temperature distribution on the wall. This…

study of the general case, and therefore it is the ultimate challenge. When I visited Harvard’s math department and met with staff, it felt like the perfect fit. At Harvard, I hope to pursue proof-based courses including topological spaces, differential geometry, and symplectic duality, and eventually contribute to the field by working on the most pressing questions facing pure mathematics– because today I am even more passionate about math than the day I received that green textbook.…

Although gaming with friends and going to conventions can be fun, staying at home and playing games with family brings enjoyment too. Seeing mother and father’s reactions to a game can cause children to laugh and have fun. Now that board games and puzzles have been made obsolete, video games were bound to target family fun. Many games have been created specifically for families to enjoy. One way to tell if a game is appropriate for family fun would involve looking at the game’s rating. The…

water are modeled by the SPH method, which is a pure Lagrange method and does not need a mesh based on the interpolation theory. It uses a series of uniformly distributed smoothed particles having variety of physical properties to solve the partial differential equations under various conditions. The kernel estimated value f(x) can be expressed as [34–37]:…

John Nash is now a well-known mathematician. He is commonly recognized as the only mathematician to win the Nobel Prize and as the mathematician that the movie A Beautiful Mind is based on. While people are now aware of John Nash’s story, it was not previously well known. John Nash grew into a brilliant mathematician, was diagnosed with schizophrenia, and persevered through obstacles to continue working in mathematics. John Nash was born on June 13, 1928 in Bluefield, West Virginia where he…

the electromechanical activity of system. The various propagation action potentials within the heart produce a current flow, which generates an electrical field that can be detected, in significantly attenuated form, at the body surface, via a differential voltage measurement system. The resulting measurement, when taken with electrodes in standardized locations, is known as the electrocardiogram. The ECG signal is typically in the range of ±2 mv and requires a recording bandwidth of 0.05 to 150…

Chapter 2 LITERATURE SURVEY 2.1. Characteristics of Hydrogen Sulphide 2.1.1. Physical and Chemical Properties H2S is a colourless gas characterised by a rotten gas odour which is highly toxic. It is soluble in different liquids including water and alcohols. It is typically formed under deficit oxygen conditions in the presence of organic matter and sulphate compounds (WHO, 2003). Hydrogen Sulphide is also present in the atmosphere in the range of 0.0001-0.0002 ppm though it may vary with places…

This rib is also suitable for a variety of loading conditions. Forged ribs are manufactured using heavy press-machinery, and are used for sections where very high loads apply. Milled ribs are solid structures, manufactured by milling away excess material from a solid block of metal, and are also used where very high loads apply. The stringers on the skin panels run in the length of the wing, and so usually need to bridge the ribs. There are several methods for dealing with this problem. The…