# Jim Diederich

Refereed publications: Via Math Reviews

Email: dieder@math.ucdavis.edu

Office: MSB 2236

Phone: 752-1080

Professor James R. Diederich has worked in analysis and currently does research in computer science, including biological databases and fuzzy systems.

In his work in analysis, Professor Diederich considered generalized notions of
limits of values of functions. For example, the mean limit of a function f at
a point x is obtained by taking the limit of averaged values of f near x, and
Professor Diederich showed that if a function lies in any of several natural
classes, it is mean continuous almost everywhere at the boundary of its domain
**[2]**.

In his work in computer science, Professor Diederich has studied all aspects of
design and use of databases, from theoretical considerations of algorithms to
practical questions of databases organization. Most recently, he examined the
problem of organizing large integrated biological databases used to classify
specimens **[3]**.

### Selected publications

**[1]**Weyl's lemma for pointwise solutions of elliptic equations, Proc. Amer. Math. Soc. 47 (1975), 341-347.

**[2]** Natural limits for harmonic and superharmonic functions, Trans. Amer. Math.
Soc. 224 (1977), 381-397.

**[3]** Basic properties for biological databases: character development and
support, Math. Comput. Modelling 25 (1997), 109-127.

**[4]** Expert workstations: A tool-based approach, Advances in Computer Methods
for Systematic Biology, Chapter 7.

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