The paper formulates a statement of the problem and develops mathematical models deformation underground pipelines under spatially variable loading, taking into account accumulation damageability materials. Based on theory small elasto-plastic deformations Hamilton-Ostrogradsky variational principle, differential equations motion (equilibrium) system alternating loading with appropriate boundar...

n this article, we prove an lp-lq-version of morgan’s theorem for the generalized bessel transform.

abstract the traditional or liberal theory of contract always had encounter serious critics. the authors of this article have criticized this theory- based on new theory of unger (a pioneer in the critical legal studies movement) - and also have analyzed the strengths and weaknesses of that. this theory consists of a principle and a counter principle that include freedom of contract against the...

ScriptEase is a tool for writing interactive stories in roleplaying games that frees the author from doing explicit computer programming. A story is created by selecting and customizing patterns for the plot, encounters, behaviors and conversations. It has been implemented as a front end to BioWare's Neverwinter Nights game. We will describe our experiences using ScriptEase as part of a high sc...

Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...

amr bayn al-amrayn (principle of middle position) is amongst the fundamentals of the shī‘ī intellectual doctrines. it is attempted in this paper to demonstrate the genuineness and integrity of the theory of amr bayn al amrayn according to the principle of unity of divine acts and autonomous creatorship of god, the original principle of causality as well as the principle of analogical gradation ...