the all is greater than the sum of its parts word.
the all is greater than the sum of its parts word.
greater than the sum of its parts word?
the all
the multivariate mutual information may be positive, negative or zero. for the simplest case of three variables "x", "y", and "z", knowing, say, "x" yields a certain amount of information about "z". this information is just the mutual information formula_11 (yellow and gray in the venn diagram above). likewise, knowing "y" will also yield a certain amount of information about "z", that being the mutual information formula_12 (cyan and gray in the venn diagram above). the amount of information about "z" which is yielded by knowing both "x" and "y" together is the information that is mutual to "z" and the "x,y" pair, written formula_13 (yellow, gray and cyan in the venn diagram above) and it may be greater than, equal to, or less than the sum of the two mutual information, this difference being the multivariate mutual information: formula_14. in the case where the sum of the two mutual information is greater than formula_13, the multivariate mutual information will be positive. in this case, some of the information about "z" provided by knowing "x" is also provided by knowing "y", causing their sum to be greater than the information about "z" from knowing both together. that is to say, there is a "redundancy" in the information about "z" provided by the "x" and "y" variables. in the case where the sum of the mutual information is less than formula_13, the multivariate mutual information will be negative. in this case, knowing both "x" and "y" together provides "more" information about "z" than the sum of the information yielded by knowing either one alone. that is to say, there is a "synergy" in the information about "z" provided by the "x" and "y" variables. the above explanation is intended to give an intuitive understanding of the multivariate mutual information, but it obscures the fact that it does not depend upon which variable is the subject (e.g., "z" in the above example) and which other two are being thought of as the source of information.
multivariate mutual information
according to the epigraphist sicar, inscriptions have played a vital role in the re-construction of history of literature in india as well as the political history of the kingdoms during the early centuries of the first millennium. some inscriptions mention names of noted contemporary and earlier poets (aihole inscription of ravikirti which mentions the sanskrit poets kalidasa and bharavi). the development of versification and the "kavya" style ("epic") of poetry appears first in inscriptions before making their appearance in literature. further some "kavya" poets were the authors of inscriptions too (trivikramabhatta composed the bagumra copper plates and the sanskrit classic "nalachampu"). in the early centuries of the first millennium, inscriptions in the deccan were predominantly in the prakrit language. then came a slow change with records appearing in bilingual sanskrit-prakrit languages around the middle of the fourth century, where the genealogy information is in sanskrit while the functional portion was in prakrit. from around the fifth century, prakrit fell out of use entirely and was replaced by the dravidian languages. in the kannada speaking regions in particular, the trend was to inscribe in sanskrit entirely or in sanskrit-kannada.
kadamba dynasty