Mathematical Tools in Quantum Chemistry

A mathematical object is defined by a loose analogy to objects in the syntax of ordinary languages. The objects are those parts of a formula that are combined to form other objects, substituted for other objects, or mapped onto other objects, while the “verbs” are designators of how to combine, or which mapping to apply. Obviously, this classification depends on context, upon the usage of the formula, but also on the interpreters attitude: One man’s operations are another man’s objects.