... At present, since we do not have enough formalization of elementary properties, we have to formalize the basic elementary facts. If we have enough elementary properties already formalized, then it will be easy to start writing formalized proofs. (2) compatibility of formalization There are many form ...
Dimension theory
... PL (t) − tks PK (t) 1 − tks Since xs annihilates K and L, these are graded modules over the graded ring A = A/(xs ) whose positive grade ideal has s − 1 generators x1 , x2 , · · · , xs−1 , the images of i ∈ A. So, PL (t) and PK (t) are rational �xs−1 functions with denominator i=1 (1 − tki ). The th ...
... PL (t) − tks PK (t) 1 − tks Since xs annihilates K and L, these are graded modules over the graded ring A = A/(xs ) whose positive grade ideal has s − 1 generators x1 , x2 , · · · , xs−1 , the images of i ∈ A. So, PL (t) and PK (t) are rational �xs−1 functions with denominator i=1 (1 − tki ). The th ...
Document
... document matrix to a set of orthogonal factors. A large number of factor weights provide an approximation close to the original term by document matrix but retains too much noise. On the other hand, if too many factors are discarded, the information loss is too large. The objective is to identify th ...
... document matrix to a set of orthogonal factors. A large number of factor weights provide an approximation close to the original term by document matrix but retains too much noise. On the other hand, if too many factors are discarded, the information loss is too large. The objective is to identify th ...
