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1.1 General Features of Notation

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This section gives general information about the special notation that is used throughout the book. This notation is convenient because it can be used not only in printed texts but also in handwritten work. It also has the desirable feature that it can distinguish column matrices from vectors, which are actually different mathematical objects. The main features of the notation are explained below.

 A scalar is denoted by a plain letter such as s.

 A vector is denoted by a letter with an overhead arrow such as .

 A column matrix is denoted by a letter with an overhead bar such as .

 A square or a rectangular matrix is denoted by a capital letter with an overhead circumflex (a.k.a. hat) such as .

 A skew symmetric matrix is denoted by a letter with an overhead tilde such as .

 The transpose of a matrix is denoted by a superscript t such as and .

Kinematics of General Spatial Mechanical Systems

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