Discovery in Statics

Comparative Statics in Matching Markets

This paper studies the comparative statics of adding agents to matching markets that generalize the marriage and college-admissions markets of D. Gale and L. Shapley (Amer. Math. Monrh1.v 69, 1962, 9915). It is shown, for the wide class of matching markets studied by A. Roth (Econometrica 52, 1984, 47-57), that adding an agent to one side of the market weakens the competitive positions of the o...

Molecular Statics Simulation in Aluminum

Effects of dislocation emission from a mode I crack and of pinning distances on the behavior of the crack and on fracture toughness in aluminum were studied by using the Molecular Statics Technique with atomic interactions described in terms of the Embedded Atom Method. It was found that aluminum is a ductile material in which the cracks generate dislocations, blunting the cracks. The blunting ...

Algebraic graph statics

This paper presents a general, non-procedural, algebraic approach to graphical analysis of structures. Using graph theoretical properties of reciprocal graphs, the geometrical relation between the form and force diagrams used in graphic statics is written algebraically. These formulations have been found to be equivalent to the equilibrium equations used in matrix analysis of planar, self-stres...

Closure Phase Statics Correction

The closure phase principle was used in estimating static shifts in seismic data. In areas with complex topography, the static shifts usually caused by lateral variations in sediment thickness and/or velocity of the near-surface layers will distort the continuity of seismic events. More seriously, it introduces false structural anomalies. In this report, we develop a new statics correction meth...

Robust Comparative Statics