Electrophysiological optometry using Scheiner's principle in the pigeon eye.

Modern Clinical Optometry The Medical Eye Examination

Count(q) versus the Pigeon-Hole Principle

For each p 2 there exists a model M of I 0 () which satisses the Count(p) principle. Furthermore, if p contains all prime factors of q there exist n; r 2 M and a bijective map f 2 dom(M) mapping f1; 2 A corollary is a complete classiication of the Count(q) versus Count(p) problem. Another corollary shows that the pigeonhole principle for injective maps does not follow from any of the Count(q) p...

Count( qq) versus the pigeon-hole principle

For each p ≤ 2 there exist a model M∗ of I∆0(α) which satisfies the Count(p) principle. Furthermore if p contain all prime factors of q there exist n, r ∈ M∗ and a bijective map f ∈ Set(M∗) mapping {1, 2, ..., n} onto {1, 2, ..., n+ qr}. A corollary is a complete classification of the Count(q) versus Count(p) problem. Another corollary solves an open question ([3]). In this note I state and pro...

Monotone Proofs of the Pigeon Hole Principle

We study the complexity of proving the Pigeon Hole Principle (PHP) in a monotone variant of the Gentzen Calculus, also known as Geometric Logic. We show that the standard encoding of the PHP as a monotone sequent admits quasipolynomial-size proofs in this system. This result is a consequence of deriving the basic properties of certain quasipolynomial-size monotone formulas computing the boolean...

Optometry.

Catter Matil, 2253 TAMU College Station, TX 77843-2253 Ph: (979)845-2142 • Fax: (979) 862-6842 [email protected] • nfs.tamu.edu Optometrists are concerned with the diagnosis, treatment, and prevention of abnormalities associated with the visual system. Doctors of Optometry (O.D.) evaluate the refractive status of the eye, as well as the selection, design, provision, and adaptation of corrective mea...