The Hodgkin-Huxley Equations.- Dendrites.- Dynamics.- The Variety of Channels.- Bursting Oscillations.- Propagating Action Potentials.- Synaptic Channels.- Neural Oscillators: Weak Coupling.- Neuronal Networks: Fast/Slow Analysis.- Noise.- Firing Rate Models.- Spatially Distributed Networks.

/pdf/mathematical-foundations-of-neuroscience-sjslyctt3c.pdf

Mathematical foundations of neuroscience

The Algebraic Theory of Semigroups, Vol. I. By A. H. Clifford and G. B. Preston. Pp. xv + 224. $10.60. 1961. (American Mathematical Society, Providence.)

Classification theory and the number of non-isomorphic models

Introduction to semigroup theory

(1 < p ≤ ∞) [LS87f]. (2) [HR88a]. (2m− 2) [KL88]. (A0, A1)θ1 [Xu87a]. (α, β) [Pie88a, Fin88a]. (d ≥ 1) [Wsc85a]. (λ) [DM85b]. (Z/2) [Car86b]. (nα) [Sch85h]. (φ)2 [BM89c]. (τ − λ)u = f [Wei87r]. (x, t) [Lum87, Lum89]. (X1 −X3, X2 −X3) [SW87]. 0 [Caz88, Kas86, Pro87]. 0 < p < 1 [Cle87]. 1 [Bak85a, DD85, Drm87, Eli88, FT88a, Gek86d, HN88, Kos86a, LT89, Pet89a, Pro87, Tan87, vdG89]. 1/4 [KS86e]. 1 ≤ q < 2 [Gue86]. 2 [BPPS87, Cam88, Cat85a, ES87b, Gan85e, Gol86a, HRL89g, Hei85, Hua86, Kan89, KB86, Li86, LT89, Mil87b, Mur85a, Qui85b, SP89, Shi85, Spe86, Wal85b, Wan86]. 2m− 2 [Kos88b]. 2m− 3 [Kos88b]. 2m− 4 [Kos88b]. 2× 2 [Vog88]. 3 [Aso89, BPPS87, BW85c, BG88b, Che86d, Fis86, Gab85, Gu87a, HLM85b, Kam89b, Kir89c, Lev85c, Mil85c, Néd86, Pet86, Ron86, Sch85b, ST88, Tur88b, Wan86, Wen85, tDP89, vdW86]. 4 [Bau88a, Don85a, FKV88, Kha88, Kir89l, SS86, Seg85b, Wal85b]. 5 [Ito89, Kir89e, SV85]. 5(4) [Cas86]. 5819539783680 [KSX87]. 6 [PH89, Žub88].

/pdf/a-complete-bibliography-of-lecture-notes-in-mathematics-1985-32lbz48rms.pdf

A Complete Bibliography of Lecture Notes in Mathematics (1985{1989)

A general theory for a class of abundant semigroups is developed. For a semigroup S in this class let E be its set of idempotents and the subsemigroup of S generated by E. When is regular there is a homomorphism with a number of desirable properties from S onto a full subsemigroup of the Hall semigroup T . From this fact, analogues of results in the regular case are obtained for *-simple and ℐ*-simple abundant semigroups.

Idempotent-connected abundant semigroups

Right PP monoids with central idempotents.

/pdf/products-of-idempotent-endomorphisms-of-an-independence-ol57kcytu3.pdf

Products of idempotent endomorphisms of an independence algebra of finite rank

A class of right pp monoids

The investigation of general quasi-adequate semigroups is initiated. These are semigroups which are abundant and in which the idempotents form a subsemigroup. For such a semigroup S we study the minimum good congruence γ such that S/γ is adequate. Results on γ together with results from a previous paper of the authors are used to obtain a structure theorem for a class of quasi-adequate semigroups.

John Fountain

Papers

Idempotent-connected abundant semigroups

Right PP monoids with central idempotents.

Products of idempotent endomorphisms of an independence algebra of finite rank

A class of right pp monoids

Quasi-adequate semigroups