منابع مشابه
Multidimensional Analytic Deflation
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متن کاملIsosingular Sets and Deflation
This article introduces the concept of isosingular sets, which are irreducible algebraic subsets of the set of solutions to a system of polynomial equations that share a common singularity structure. The definition of these sets depends on deflation, a procedure that uses differentiation to regularize solutions. A weak form of deflation has proven useful in regularizing algebraic sets, making t...
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A deflated polygon is a polygon with no visibility crossings. We answer a question posed by Devadoss et al. () by presenting a polygon that cannot be deformed via continuous visibility-decreasing motion into a deflated polygon. We show that the least n for which there exists such an n-gon is seven. In order to demonstrate non-deflatability, we use a new combinatorial structure for polygons,...
متن کاملShould We Fear Deflation?
DEFLATION IS BACK. In the six months from October 1998 to March 1999, some 438 articles about deflation appeared in major U.S. newspapers, compared with only 36 in the first half of 1997 and 10 in the first half of 1990. For sixty years, ever since the middle years of the Great Depression, deflation was a nonissue. Next to no one worried about it. Next to no one viewed a general decline in the ...
متن کاملThe Risk of Deflation
cerns that the United States and other economies could enter a sustained period of deflation, as did Japan in the 1990s and the United States during the Great Depression. Indeed, a popular version of the well-known Phillips curve model of inflation predicts that we are on the cusp of a deflationary spiral in which prices will fall at ever-increasing rates over the next several years. A sizable ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1959
ISSN: 0022-2518
DOI: 10.1512/iumj.1959.8.58021