42 research outputs found

    Bronze image casting in Tanjavur District, Tamil Nadu: Ethnoarchaeological and archaeometallurgical insights

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    The profusion of metal images made in the Tanjavur region, going back to the early medieval Chola bronzes of the 9th-13th century ranks amongst the finest of Indian artistic expressions. Clusters of artistic and artisanal activities have thrived over generations in the Tanjavur district including metalworking workshops for bronze and bell metal casting of images and ritual objects especially around Swamimalai and Kumbakonam. Ethnometallurgical and archaeometallurgical insights on the making of icons at Swamimalai are highlighted from observations made over the past couple of decades, especially in relation to making comparisons with historical practices of bronze casting going back to Chola times. Since the processes are rapidly undergoing change, to get a better sense of the trajectory of past practices, this paper particularly aims to highlight unpublished observations made by the author going back to her first visits in 1990-1, as background to her doctoral work (Srinivasan 1996) and in relation to observations reported by other scholars going back to the early landmark efforts of Reeves (1962). These observations were particularly made by the author at the workshop of late master craftsman Devasena Sthapathy, in his time the most renowned of Swamimalai Sthapathis. His son Radhakrishna Sthapathy has now inherited this mantle. While Levy et al (2008) give a more recent account of image casting at the workshop of Radhakrishna Sthapathy, this paper attempts to also contextualise the previous trajectory that has not been covered much therein. Since their workshop now goes under the name of Sri Jayam Industries, for the sake of convenience it will be referred here by the same name

    A note on statistical analysis of shape through triangulation of landmarks

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    In an earlier paper, the author jointly with S. Suryawanshi proposed statistical analysis of shape through triangulation of landmarks on objects. It was observed that the angles of the triangles are invariant to scaling, location, and rotation of objects. No distinction was made between an object and its reflection. The present paper provides the methodology of shape discrimination when reflection is also taken into account and makes suggestions for modifications to be made when some of the landmarks are collinear

    A note on a generalized inverse of a matrix with applications to problems in mathematical statistics

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    Some years ago the author defined a pseudo inverse of a singular matrix and used it in representing a solution of normal equations and for obtaining variances and covariances of estimates in the theory of least squares (Rao, 1955). This provided a unified approach to least squares theory, including the case when the normal equations become singular. This note attempts to collect a few mathematical results, some of which are known in literature, associated with the inversion of singular and rectangular matrices, and to indicate briefly their use in problems of mathematical statistics

    The theory of fractional replication in factorial experiments

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    When the number of factors in an experiment is large an experiment involving all combinations would be unwieldy. If, however, some higher order interactions are absent the lower order interactions and main effects can be investigated by using a subset of the treatment combinations. The author uses devices introduced by him (cf. Plant Breeding Abstracts, Vol. XVIII, Abst. 603) to develop a method of construction of such designs when all the factors are at the same number, s, of levels and s is a prime or a prime power

    Combinatorial arrangements analogous to orthogonal arrays

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    In this paper are considered some combinatorial arrangements analogous to orthogonal arrays introduced by the author several years ago (Rao, 1946a). In an orthogonal array, all combinations of s elements taken d at a time allowing repetitions occur an equal number of times in every set of d rows of the array. By not allowing repetitions and relaxing the condition that the combinations should be ordered certain new arrangements called orthogonal arrays of Type I and Type II have been obtained. Their relationships with orthogonal latin squares and their use in the construction of BIB designs have been discussed

    Combinatorial arrangements analogous to orthogonal arrays

    No full text
    In this paper are considered some combinatorial arrangements analogous to orthogonal arrays introduced by the author several years ago (Rao, 1946a). In an orthogonal array, all combinations of s elements taken d at a time allowing repetitions occur an equal number of times in every set of d rows of the array. By not allowing repetitions and relaxing the condition that the combinations should be ordered certain new arrangements called orthogonal arrays of Type I and Type II have been obtained. Their relationships with orthogonal latin squares and their use in the construction of BIB designs have been discussed

    The theory of fractional replication in factorial experiments

    No full text
    When the number of factors in an experiment is large an experiment involving all combinations would be unwieldy. If, however, some higher order interactions are absent the lower order interactions and main effects can be investigated by using a subset of the treatment combinations. The author uses devices introduced by him (cf. Plant Breeding Abstracts, Vol. XVIII, Abst. 603) to develop a method of construction of such designs when all the factors are at the same number, s, of levels and s is a prime or a prime power

    A note on a generalized inverse of a matrix with applications to problems in mathematical statistics

    No full text
    Some years ago the author defined a pseudo inverse of a singular matrix and used it in representing a solution of normal equations and for obtaining variances and covariances of estimates in the theory of least squares (Rao, 1955). This provided a unified approach to least squares theory, including the case when the normal equations become singular. This note attempts to collect a few mathematical results, some of which are known in literature, associated with the inversion of singular and rectangular matrices, and to indicate briefly their use in problems of mathematical statistics
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