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Desmond Tutorial

Desmond Tutorial - DE Shaw Research

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from outermost to innermost, separated by periods. For example, force.nonbonded.far.sigma<br />

refers to the sigma configuration parameter in the far subsection<br />

of the nonbonded subsection of the force section of the configuration file.<br />

About the equations<br />

The equations in this document are concerned with scalars, vectors, and matrices of various<br />

sorts. To help clarify the type of a quantity, equations in this manual use the following<br />

conventions:<br />

• An upper‐ or lowercase letter without bolding or arrows, such as A or a , is a scalar.<br />

• An arrow over a variable, such as A or a , indicates three variables as a three‐dimensional<br />

vector.<br />

• A boldfaced lowercase letter, such as a ,is a vector of unspecified dimension,<br />

with a i indicating the i th element of the vector.<br />

• A boldfaced uppercase letter is a matrix of unspecified dimensions, though usually<br />

3 × 3, with A ij being the element of row i and column j in matrix A .<br />

Certain quantities that are 3n ‐dimensional vectors, such as r , the positions of n particles,<br />

are indexed differently. The manual does not use r i to refer to one of its 3n components,<br />

but instead r i denotes the i th three‐dimensional vector in r , which is the position of the<br />

i th particle in this case.<br />

September 2008 D. E. Shaw Research iii

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