| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Research Abstract |
It is a primary purpose of analysis to study a function by using the differential equations which it satisfies. Hence one must find, first of all, the differential equations which a given function satisfies. I applied general algorithms for D-modules (algebraic counterpart of differential equations), which I had introduced, to some specific functions and obtained algorithms for computing the differential equations for functions such as the logarithm of a polynomial and the integral over a domain defined by polynomial inequalities. I also implemented these algorithms by using a Japanese software system.
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