Here, X = {x ∈ IRn | xmin j ≤ xj ≤ xmax j , j = 1, . . . , n}, where xmin j and xmax j are given real numbers which satisfy xmin j < x max j for all j, f0, f1, . . . , fm are given, continuously differentiable, real-valued functions on X, a0, ai, ci and di are given real numbers which satisfy a0 > 0, ai ≥ 0, ci ≥ 0, di ≥ 0 and ci + di > 0 for all i, and also aici > a0 for all i with ai > 0. In ...

Plants growing in temperate regions are often exposed to stress conditions caused by high temperatures. Photosynthesis is one of the metabolic processes most sensitive to high temperature stress, and it is often inhibited before other cellular functions. Using peach leaf disks, we studied the transient chlorophyll a fluorescence along with the gas exchanges at temperatures of 25 (control) 30, 3...

Let f(x) = ax+bx+c ∈ Z[x] be a quadratic polynomial with a ̸≡ 0 mod p. Take z ∈ Fp and let Oz = {fi(z)}i∈Z+ be the orbit of z under f , where fi(z) = f(fi−1(z)) and f0(z) = z. For M < |Oz|, We study the diameter of the partial orbit OM = {z, f(z), f2(z), . . . , fM−1(z)} and prove that there exists c1 > 0 such that diam OM & min { Mp c1 , 1 log p M 4 5p 1 5 ,M 1 13 log logM } . For a complete or...

音声は,肺から供給された空気が声帯振動によって周期的な 疎密波となり,さらにその音波が声道で共振されることによっ て「声」となり,口から発せられる。人は音声対話において, 声帯の固有振動数を巧みに制御しながら音声に適切な抑揚を与 え,同時に,声道の形状を巧みに変化させながら異なる種類の 母音を生成することで,聴き手に意図した情報を伝達している。 音声情報処理研究の歴史において,音声生成過程に関する重要 な数理モデルとして,声帯振動の制御機構を模した藤崎モデル と,縦続連結した等長音響管で声道断面積関数をモデル化した ことと等価な全極型声道モデルが有名である。本稿では,全極 型声道モデルと藤崎モデルを同時に内包する統計的音声スペク トルモデルを提案する。 声道スペクトルと基本周波数 (F0)は,分析,合成,認識,強 調,符号化などの幅広い音声アプリケーションにおいて根幹と なる音声の重...

Let f(x) = ∑d s=0 asx s ∈ Z[x] be a polynomial with ad 6≡ 0 mod p. Take z ∈ Fp and let Oz = {fi(z)}i∈Z+ ⊂ Fp be the orbit of z under f , where fi(z) = f(fi−1(z)) and f0(z) = z. For M < |Oz|, we study the diameter of the partial orbit Oz,M = {z, f(z), f2(z), . . . , fM−1(z)} and prove that diam Oz,M & min { M c log logM , Mp , M 1 2p 1 2 } , where ‘diameter’ is naturally defined in Fp and c depe...

Let p be a prime integer and F the function field in two algebraically independent variables over smaller F0. We prove that if char(F0)=p⩾3 then there exist p2−1 cyclic algebras of degree have no maximal subfield common, char(F0)=0 p2 common.