Let A = K[x1, . . . , xn] denote the polynomial ring in n variables over a field K of characteristic 0 with each deg xi = 1. Given arbitrary integers i and j with 2 ≤ i ≤ n and 3 ≤ j ≤ n, we will construct a monomial ideal I ⊂ A such that (i) βk(I) < βk(Gin(I)) for all k < i, (ii) βi(I) = βi(Gin(I)), (iii) βl(Gin(I)) < βl(Lex(I)) for all l < j and (iv) βj(Gin(I)) = βj(Lex(I)), where Gin(I) is t...

A new method for automatic construction of image transformation, Genetic Image Network (GIN), is proposed in this paper. We previously proposed the system of ACTIT (Automatic Construction of Tree-structural Image Transformation). ACTIT constructs tree structured image processing filters using Genetic Programming (GP). Generally, network structure theoretically includes tree structure (i.e. netw...

BACKGROUND Granulomatous tubulointerstitial nephritis (GIN) is common due to infections, drugs or sarcoidosis. However, the cause is often difficult to establish and the studies are limited. We studied the etiology of GIN and compared the clinical and histological features and outcome in different etiologies at a tertiary care center in North India. METHODS Renaö biopsies from GIN cases diagn...

Postnatal inhibitory neuron development affects mammalian brain function, and failure of this maturation process may underlie pathological conditions such as epilepsy, schizophrenia, and depression. Furthermore, understanding how physiological properties of inhibitory neurons change throughout development is critical to understanding the role(s) these cells play in cortical processing. One subs...