hyper-

American Heritage® Dictionary of the English Language, Fourth Edition

1. Over; above; beyond: hypercharge.
2. Excessive; excessively: hypercritical.
3. Existing in more than three dimensions: hyperspace.
4. Linked or arranged nonsequentially: hypertext.

Century Dictionary and Cyclopedia

1. n. A hypercritic.
2. To move about actively; bustle.
3. A prefix of Greek origin, meaning ‘over,’ and usually implying transcendence or excess. It is freely used as an English formative, often with only secondary reference to the Greek. Specifically — In chem., the same as super-, indicating the highest of a series of compounds: thus, hyperchloric acid signifies the highest of the series of chlorin acids, containing more oxygen than chloric acid. The prefix per- is now generally used for hyper-, as perchloric, permanganic, etc.
4. In mod. math., chiefly denoting extension, generalization, or complication, as in hypers pace, hyper geometrical.

Wiktionary

1. over, above or beyond
2. excessive
3. existing in more than three spatial dimensions
4. linked non-sequentially

GNU Webster's 1913

1. A prefix signifying over, above; ; also, above measure, abnormally great, excessive.
2. (Chem.) A prefix equivalent to super- or per-; as hyperoxide, or peroxide. [Obs.] See Per-.