by these presents

This article presents the empirical fitting of air shock para-meters produced by explosion on tower with height of 4 charge radius and on surface ( charge is tangent with surface). Formulae for estimating these parameters are given.

本文对爆高为4倍装药半径的塔爆和触地爆（药球与地面相切）实验的空气冲击波参数进行了经验拟合，给出了估算公式。

Be it known by these presents.

但愿这些文件上有这点。

It also presents advances by the Vega Grid team in addressing these challenges.

同时还介绍了织女星网格解决这些挑战的球队的进步.

HEREBY RATIFYING AND CONFIRMING all that said legal representative or substitute shall lawfully do or cause to be done under and by virtue of these presents.

特此，甲方授予上述代表人乙方全权、准许、确实依法所代表切法律。

IN WITNESS WHEREOF these presents have been duly executed by the Parties hereto on the date first above written. Besides setting the rules, the association gave the game its formal name: association football.

协议双方在协议之首所述之日正式签署以上各项规定，特此为证。除了制定规则，这个协会还为球赛取了一个正式的名称：英式足球。