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- T. Sasao, J. T. Butler, M. D. Riedel
- 2004

— The availability of large, inexpensive memory has made it possible to realize numerical functions, such as the reciprocal, square root, and trigonometric functions, using a look-up table. This is much faster than by software. However, a naive look-up method requires unreasonably large memory. In this paper, we show the use of a look-up table (LUT) cascade… (More)

- T. Sasao
- IEEE Transactions on Computer-Aided Design of…
- 2006

A weighted-sum (WS) function computes the sum of selected integers. This paper considers a design method for WS functions by look-up table (LUT) cascades. In particular, it derives upper bounds on the column multiplicities of decomposition charts for WS functions. From these, the size of LUT cascades that realize WS functions can be estimated. The… (More)

- C. Moraga, T. Sasao, R. Stanković
- 2000

—This paper shows that binary decision diagrams (BDDs) and their generalizations are not only representations of switching and integer-valued functions, but also Fourier-like series expansions of them. Furthermore, it shows that edge-valued binary decision diagrams (EVBDDs) are related to arithmetic transform decision diagrams (ACDDs), which are the integer… (More)

- M Takimoto, G Wei, +12 authors N Kuzumaki
- British journal of cancer
- 2002

We found a significant correlation between lung cancer in smokers and the expression of a human gene, D40, predominantly expressed in testis and cancers. In an attempt to clone a novel human gene, we screened a cDNA library derived from a human B cell line and obtained a cDNA clone that we refer to as D40. A search for public databases for sequence… (More)

- T. Sasao, J. T. Butler, M. Matsuura
- 2002

— This paper focuses on the average path length (APL) of BDD's for switching functions. APL is a metric for the time it takes to evaluate the function by a computer program. We derive the APL for the AND, OR, parity, carry-out, comparison , threshold symmetric, and majority functions. We also consider the average of the APL for various classes of functions,… (More)

- J. T. Butler, T. Sasao
- 2011

—Constant weight codewords, in which the number of 1's is fixed, are essential to many coding applications. In this paper, we show an efficient circuit that converts a constant weight codeword into a unique index of that codeword. For example, this circuit is necessary when constant weight codewords are used to transmit data on and off chip. Our circuit is… (More)

- T. Sasao, J. T. Butler
- 2007

We introduce eigenfunctions of the Reed-Muller transform. Eigenfunctions are functions whose canonical sum-of-products expression and PPRM (positive polarity Reed-Muller expression) are isomorphic. In the case of symmetric functions, the eigenfunction can be viewed as a function whose reduced truth vector is identical to the reduced Reed-Muller spectrum. We… (More)

- Takafumi SASAO, Yuki FUKUDA, +4 authors Katsuhiko ARAI
- Journal of equine science
- 2015

In regenerative medicine using transplantation of mesenchymal stem cells (MSCs), the importance of regulating the quality of MSCs has been well recognized; however, there is little information concerning the relationship between the population doubling level (PDL) and the stemness of MSCs in equine medicine. In this study, we showed that the amount of… (More)

- J. T. Butler, T. Sasao, S. Nagayama
- 2009

We show the architecture and design of a numeric function generator that realizes, at high speed, arithmetic functions, like log x, sin x, 1 x , etc.. This approach is general; different circuits are not needed for different functions. Further, composite functions, like log (sin (1 x)) can be realized as easily as individual functions. A tutorial… (More)

- T. Sasao
- 2014

A labeVvalue symmetric function remains undmnged if we permIDite lL the labels of the variabl!es, and L For two values, such functions defeat [1} the Minato/Morreale algorithm [2,3], which produces irredundant sum-of-piroduct expre1Jsions (ISOP'll). That is, this algorithm does the worst it can do, producing expressions with the most prime implicants (PPs).

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