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On a property of phi-variational modular spaces

100%

Wang J. , Wu C.

tom Vol. 30, no. 2

209-215

Maligranda pointed out whether condition (B.1) is satisfied in the variational modular space X*ρ is an open problem. We will answer this open problem in X*ρ', a subspace of X*ρ. As a consequence this modular space X*ρ' can be F-normed.

Deep learning-based initialization for object packing

75%

Wołczyk M.

Schedae Informaticae

2018

tom Vol. 27

9--17

One of the most important optimization tasks in the industry at the current time is the object packing problem. Although several methods have been developed for the purpose of solving it, they are usually only able to optimize placement locally and as such are heavily dependent on the choice of the initial setting – hence the need for trying out multiple possible starting points, which impacts algorithm running time. In this paper we present a neural networkbased model which provides sensible starting points in a linear time.

φ-function of N variables

63%

Misiak A. , Ryż A.

1998

tom Vol. 31, nr 2

387-393