Category : Formal Sciences

Torsion Testing of Steel and Cast Iron

Introduction             To put meaning to the data and conclusions drawn in this experiment several things must be known about the materials tested and the theory behind torsion testing. The two materials tested, cast iron and mild steel, have opposing characteristics.   Steel is classified as a ductile material, a ductile material is known to be able to experience very large shear forces without failing, ductile materials are also highly deformable.  On the other hand cast iron is a brittle material, […]

Detecting Art Forgeries

Introduction The use of differential models is important in many different aspects of life. In our particular case we used a differential model to aid us in the detection of art forgeries. By using the known properties of radioactive decay and techniques involving differential equations, we were able to determine the dates that paintings were created. We used these techniques to determine the authenticity of several paintings claiming to be the original works of Eugene Delacroix and Jan Vermeer. We […]

Hooke, Newton, and Voltaire

Robert Hooke (1635-1703), Micrographia.[1] This book primarily addresses Hooke’s investigations with the microscope, but it includes a few pages on the telescope as well. [By means of a glass in October of 1664, I studied the surface of the moon.] On it I perceived several kinds of pits, which are shaped almost like a dish, some bigger, some less, some shallower, some deeper, each a hollow Hemisphere, encompassed with a round rising bank, as if the substance in the middle […]

Green’s Theorem and Vector Fields

Introduction: In this lab, we examined fundamental properties of vector functions and vector fields in two different problems using concepts we learned in chapters 13 and 14. In the first problem, we explored gradient fields, flux, flow, divergence, curl of vector fields, and investigated Green’s theorem to determine how flux and divergence are connected, as well as flow and curl. In the second problem we looked at the first and second moments of a charged surface. Results: In the first […]

Aristotle, Bacon, Descartes, Boyle

  Aristotle (d. 322 BCE) 1a. On the Parts of Animals, I, i.[1]               [Even a lay-person—someone without an expert’s knowledge of a field—can make a judgment about the method used by the experts.] To give an illustration of what I mean: should we begin by discussing each separate species—man, lion, ox, and the like—taking each kind in hand independently of the rest, or ought we rather to deal first with the attributes which they have in common? Groups […]

History of Modern Science – Notes

Aristotle (322 BC): “So what happens must be this” in reference to drone bee’s (line 29, ABDB ) “ credit must be given rather to observation than to theories”   Francis Bacon (1564-1626): “The idols and false notions which have already preoccupied human understanding, and are deeply rooted in it will thwart the establishment if the sciences, unless mankind, when forewarned; guard themselves with all possible care against them.”   Idols of the Tribe: Your perception is not always right […]