perfect field

perfect field

[¦pər‚fikt ′fēld]
(mathematics)
A field such that any irreducible polynomial with coefficients in this field is separable; a field whose finite extensions are all separable.
References in periodicals archive ?
We mapped every critical hour of their experience at the Olympics where we needed to help: a perfect field of play for competitions; meals adapted to their training; comfortable, timely and easy travel across the Olympic theater for competitions and viewing other events; entertainment; reasonable access by the media; and many more detailed elements.
A near perfect field rig, the cross draw keeps things tucked out of the way but still at hand.
This free eBook assists owners and managers of field service and repair businesses in making the right choices to find the perfect field service management (FSM) system for their organization's needs.
However, the UAE efforts were fruitful thanks to the good planning, perfect field implementation, concerted coordination between the UAE PAP and other stakeholders including command of Pakistani army, local and federal Pakistani health authorities, and the World Health Organisation.
Pedigree is an important first step but it doesn't guarantee you will get the perfect field clog.
Perhaps a Platonist would understand this slow show as progress toward the perfect field.
Once again, however, excellent work from the Newsome provided the perfect field position for Studholme to slot over a drop goal to seal a win and sink Swifts hopes of an unlikely victory.
Released to accompany the BBC Gardener's World series, it contains information and ideas for creating the perfect field of blooms, whether you're hoping for a gorgeous back garden, a fragrant front patch or a window box that puts others in the shade.
Mistakes proved costly for Newcastle, and a botched lineout handed the Saints perfect field position on the hoof, from which they opened the scoring.
He told me all about the industry and how it was the perfect field for young professionals who wanted it all: rewarding work, high compensation and growth opportunities.
But as time ticked by a misplaced clearance out of hand went straight into touch and saw Ireland presented with perfect field position to land a telling blow of their own as the previously anonymous Ronan O'Gara slotted over a late drop goal to put Ireland two points clear with less than 90 seconds remaining.