Using the APOS framework and student interviews, this study explores ways in which students conceive of tasks involving derivatives that are posed using the different representational types. Patterns are drawn among: problem conception and representation type; problem conception and task type; schema ...
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Having other derivatives just makes things more complicated- but you can always make changes of independent variables to get rid of mixed derivatives and first derivatives. The formula you cite is based on those changes. The names are, of course, based on the analogy with conic sections. The ...
Partial and Covariant derivatives of the GTR tensors Including more coordinate systems Adding a user-defined (custom) function support Contributing I am looking for developers who would like to contribute to the project. If you are interested, feel free to create an issue by stating how would yo...
Divided into two self-contained parts; the first concentrating on the theory of stochastic calculus, and the second describes in detail the pricing of a number of different derivatives in practice.Risk TransferDerivatives in Theory and PracticeAn advanced read on the subject, one that prepares both...
produces large amounts of urease and degrades urea to survive the acidic gastric environment5. In the oral cavity,Streptococcus salivariusproduces ammonia from urea hydrolysis in response to low pH, leading to dental plaque and calculus deposition6. Other ureolytic bacteria, such asKlebsiella pneumonia...
Fractional order derivatives provide researchers with new ways of modeling numerous types of phenomena in science. Different kinds of fractional derivatives and their properties were considered in [1,2,3,4,5]. A survey of several diverse applications that have arisen from fractional calculus was ...
some through banks, some through bonds, and some through less traditional sources. There are also derivatives that are in some ways like debt. In particular, if there are sharp moves in interest rates, it is possible that some issuers of derivatives will find themselves in financial difficulty....
We show a constrained non-linear program and design a calculus-optimization technique to solve it. The methodology used in this research is the quantitative method, which is based on the principles of operations research, and the models are built on mathematically oriented inventory theory. The ...
maxwell’s equations; time-fractional; fractional derivatives; thermoelasticity; Caputo definition; electromagnetic; Green–Naghdi; Lord–Shulman; Moore–Gibson–Thompson MSC: 35Q61; 37D35; 74B05; 35R11; 60G22 1. Introduction Because of its several relevant applications in geophysics, plasma physics...