19,216 research outputs found

    Adolescent Literacy and Textbooks: An Annotated Bibliography

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    A companion report to Carnegie's Time to Act, provides an annotated bibliography of research on textbook design and reading comprehension for fourth through twelfth grade, arranged by topic. Calls for a dialogue between publishers and researchers

    Integral of radical trigonometric functions revisited

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    This article revisits an integral of radical trigonometric functions. It presents several methods of integration where the integrand takes the form 1±sinx\sqrt{1 \pm \sin x} or 1±cosx\sqrt{1 \pm \cos x}. The integral has applications in Calculus where it appears as the length of cardioid represented in polar coordinates.Comment: 12 pages, 4 figure

    Microalgae production in fresh market wastewater and its utilization as a protein substitute in formulated fish feed for oreochromis spp.

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    Rapid growing of human population has led to increasing demand of aquaculture production. Oreochromis niloticus or known as tilapia is one of the most globally cultured freshwater fish due to its great adaptation towards extreme environment. Besides, farming of tilapia not only involves small scales farming for local consumption but also larger scales for international market which contributes to a foreign currency earning. Extensive use of fishmeal as feed for fish and for other animals indirectly caused an increasing depletion of the natural resource and may consequently cause economic and environmental unstable. Microalgae biomass seems to be a promising feedstock in aquaculture industry. It can be used for many purposes such as live food for fish larvae and dried microalgae to substitute protein material in fish feed. The microalgae replacement in fish feed formulation as protein alternative seem potentially beneficial for long term aqua-business sustainability. The present chapter discussed the potential of microalgae as an alternative nutrition in fish feed formulations, specifically Tilapia

    Visualisation, VISC and scientific insight

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    CISRG discussion paper ;

    Difficulties in Complex Multiplication and Exponentiation

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    During my study of the iteration of functions of the form f(z)=zα+cf(z)=z^{\alpha}+c, where z,c \in \mathbbC, and α\alpha is a rational non-integer larger than 2 (\cite{s1}), I encountered a fundamental difficulty in the exponentiation of a complex number. This paper will explore this difficulty and the problems encountered in trying to resolve it using a Riemann surface which is the direct generalization of the polar form of the complex plane. This paper will also answer two questions raised by Robert Corless in his \emph{E.C.C.A.D.} presentation \cite{co}: "Can a Riemann surface variable be coded? What will the operations be on it?" Unfortunately, the addition operation will be incompatible with the Riemann surface structure.Comment: 17 pages, 9 figures (.ps format
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