i understand the laws of differentiation, taking out the derivatives, integration all but i wonder how the first mathematician or physicist came up with it. x^n has the derivative of nx^n-1. but how does it work? how to make my own formulas?
Imagine a charge $q$ that is located at the top of a hollow cone with a surface charge density $\sigma.$ The slant height is $L$ and the charge $q$ sits at the vertex of angle $2\theta$. We are interested in the force acting on the charge $q$.
Assume that there are shells inside this hollow co...
A scientist is a person engaging in a systematic activity to acquire knowledge that describes and predicts the natural world. In a more restricted sense, a scientist may refer to an individual who uses the scientific method. The person may be an expert in one or more areas of science. The term scientist was coined by the theologian, philosopher, and historian of science William Whewell in 1833. This article focuses on the more restricted use of the word. Scientists perform research toward a more comprehensive understanding of nature, including physical, mathematical and social realms.
Philosophy...
A Hippocratic Oath for scientists is an oath similar to the Hippocratic Oath for medical professionals, adapted for scientists. Multiple varieties of such an oath have been proposed. Joseph Rotblat has suggested that an oath would help make new scientists aware of their social and moral responsibilities; opponents, however, have pointed to the "very serious risks for the scientific community" posed by an oath, particularly the possibility that it might be used to shut down certain avenues of research, such as stem cells.
== Development ==
The idea of an oath has been proposed by various prominent...
