In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.

I argue that there are at least two concepts of law of nature worthy of philosophical interest: strong law and weak law. Strong laws are the laws investigated by fundamental physics, while weak laws feature prominently in the “special sciences” and in a variety of non-scientific contexts. In the first section, I clarify my methodology, which has to do with arguing about concepts. In the next se...

T wo measures of the "meaningful" complexity of an infini te string are shown to be equivalent up to a constant (under app ropriate translati on) . "Sophis t ica tion", defined by Koppel and Atlan [3], is the size of t he projectible par t of the st ring's minimal description and forma lizes t he amount of pla nni ng which wen t into t he constru ct ion of the str ing. "Dept h". defi ned by Ben...

naturalization is one of the ways for attracting eligible and qualified persons in the way of economic and social development. legal provisions or laws related to naturalization can play a significant role in this process. conditions for naturalization in those laws shall led to attraction of eligible and interested persons. furthermore, those who have acquired such nationality shall have such ...

investment in oil and gas upstream activities is very important for the exploration and development of oil and gas fields. different and various laws and regulations deal with the investment in upstream operations. by reviewing these various laws and regulations, this research paper tries to discuss to what extent these laws and regulations have created legal confident for foreign investment up...