intricacy
发表于 2025-3-23 12:09:16
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Ischemia
发表于 2025-3-23 14:37:17
a big challenge in real-world applications due to the sparse, noisy and ambiguous nature of queries. In this paper, we present another important issue called “the pomegranate phenomenon”. This phenomenon is named for the gap between manually manageable small taxonomy and massive coherent topics in
生命
发表于 2025-3-23 20:14:22
P-matrices and N-matrices,e global univalence results due to Gale, Nikaido and Inada. We will also see the interrelation between P-matrices and positive quasi-definite matrices. Finally we examine the question whether P-property holds good under multiplication (sum) of two P-matrices — this kind of result is useful in determ
Myofibrils
发表于 2025-3-23 22:47:43
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Adj异类的
发表于 2025-3-24 06:17:34
Global homeomorphisms between finite dimensional spaces,y the line lifting property. We will show that this property is equivalent to a limiting condition (which in many cases easy to verify) which we call by L. We will use this condition L to derive several results on global homeomorphisms due to Roy Plastock. We will prove an approximation theorem due
颂扬国家
发表于 2025-3-24 10:10:56
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eczema
发表于 2025-3-24 12:26:08
Global univalent results in R2 and R3,ever the following two interesting open problems posed by Gale-Nikaido remain unanswered : (i) Suppose F is a differentiable map from a rectangular region μ ⊂ R. to R.. Suppose the Jacobian is non-vanishing and every entry in the Jacobian is non-negative. Is F one-one? (ii) Suppose F is a differenti
羽饰
发表于 2025-3-24 15:35:34
On the global stability of an autonomous system on the plane, system on the plane and extend a result of Olech using some of the recent global univalent theorems (see ). We present also a variety of examples to show the sharpness of the results. In the second half of this chapter we present the results obtained by Vidossich in this direction.
呼吸
发表于 2025-3-24 20:09:09
Univalence for mappings with Leontief type Jacobians, to Gale-Nikaido‘s theorem on univalence. Here we prove a result due to Gale-Nikaido and this says that if F and F. are differentiable and if F. is monotonic increasing then the Jacobian of F is a P-matrix provided the Jacobian matrix of F is of Leontief type. The second result due to Nikaido says t
CLAP
发表于 2025-3-25 00:36:31
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