Time with Space:

In his Critique of Pure Reason Kant gave prominence to his discussion of space and time.  He treats both in a similar way & reaches similar conclusions.  Both are defined as a priori forms of inner sense.  He gives 2 expositions of space and time: metaphysical & transcendental.  The metaphysical expositions clarifies how those intuitions are known independently of experience.  The transcendental expositions attempts to show how the metaphysical conclusions might be applied to enrich our understanding.  He refers to his metaphysical exposition to show science would be impossible if space & time were not a priori intuitions.

 

vector: * see Endnote 1
(aka vector space or linear space)  collection of objects (called vectors) which may be added together & multiplied ("scaled") by numbers (called scalars).  Scalars are usually real numbers, but there are also vectors with scalar multiplication by complex numbers, rational numbers or generally any field.