We compare the following three notions of uniformity for a finitely additive probability measure on the set of natural numbers: that it extend limiting relative frequency, that it be shift-invariant, and that it map every residue class mod m to 1/m. We find that these three types of uniformity can be naturally ordered. In particular, we prove that the set L of extensions of limiting relative fr...

The N-end rule relates the in vivo half-life of a protein to the identity of its N-terminal residue. Primary destabilizing N-terminal residues (Nd(p)) are recognized directly by the targeting machinery. The recognition of secondary destabilizing N-terminal residues (Nd(s)) is preceded by conjugation of an Nd(p) residue to Nd(s) of a polypeptide substrate. In eukaryotes, ATE1-encoded arginyl-tra...

A gene encoding cobalamin-dependent methionine synthase (EC 2.1.1.13) has been isolated from a plasmid library of Escherichia coli K-12 DNA by complementation to methionine prototrophy in an E. coli strain lacking both cobalamin-dependent and -independent methionine synthase activities (RK4536:metE, metHH). Maxicell expression of a series of plasmids containing deletions in the metH structural ...

EXTENDED ABSTRACT. Most of the results in traditional finite-field linear coding theory regarding the minimum distance of linear codes refer to the Hamming metric. Important early exceptions are given by Berlekamp’s nega-cyclic codes (cf. [1]) and Mazur’s [9] low-rate codes, both having interesting properties in terms of the Leemetric. At the beginning of the nineties of the previous century an...

We describe the cellular and molecular biologic studies of the erythrocyte pyruvate kinase (PK) deficiency of the Amish deme in Pennsylvania. Nucleotide sequencing of the patient's PK gene showed a point mutation, CGC to CAC, corresponding to no. 1436 from the translationafinitiatkn site of the R-type PK (R-PK) mRNA, and it caused a single amino acid substitution from Arg to His at the 479th am...

The toric residue is a map depending on n + 1 divisors on a complete toric variety of dimension n . It appears in a variety of contexts such as sparse polynomial systems, mirror symmetry, and GKZ hypergeometric functions. In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated po...

Let R be a commutative Noetherian local ring with residue field k. X resolving subcategory of finitely generated R-modules. This paper mainly studies when contains k or consists totally reflexive modules. It is proved that does so if closed under cosyzygies. A conjecture Dao and Takahashi also shown to hold in several cases.