LETTER FROM MR. COYTE BISHOP.

A Bishop surface with a vanishing Bishop invariant

We derive a complete set of invariants for a formal Bishop surface near a point of complex tangent with a vanishing Bishop invariant under the action of formal transformations. We prove that the modular space of Bishop surfaces with a vanishing Bishop invariant and with a fixed Moser invariant s < ∞ is of infinite dimension. We also prove that the equivalence class of the germ of a generic real...

The Mergelyan-Bishop Theorem

We define the differential operator ∂ ∂z on infinitely differentiable functions (also called smooth or C∞ functions) on some open set in C by ∂ ∂z = 1 2 ( ∂ ∂x + i ∂ ∂y ). A quick calculation shows that ∂ ∂z obeys the product rule. Recall that a function f is holomorphic if and only if ∂ ∂z (f) = 0. A function is biholomorphic, or an analytic isomorphism, if it is holomorphic and has holomorphi...

Letter from . . .

Response to Mr. Lee's letter to the editor.

Mr Lee implies we did not thoroughly investigate his product. In fact, our article, “Evaluation of Commercially Available Traction Splints for Battlefield Use,” also cited Auerbach et al.’s 1984 research in which the RS was deemed superior to the Thomas splint. We also were aware of the advertised internal memoranda by combat medic instructors from the Army Medical Department Center & School in...

The virtues of the cortex in 1680: a letter from Charles Goodall to Mr. H.

CHARLES GOODALL (1642-1712) devoted his career to the affairs of the Royal College of Physicians of London and became its most articulate defender against attacks of seventeenth-century empirics and chemists.' In his The College of Physicians vindicated ...2 of 1676 he assailed the apothecary-empirics, particularly Adrian Huyberts for misrepresenting College licensing policies and the achieveme...