In this set of lecture notes we focus on the point-value representation obtained by looking at a particular set of points, the nth roots of unity. In the field of complex numbers C, there are exactly n different solutions to the equation x = 1. We call these solutions the n-th roots of unity. One of these roots of unity is ωn = cos(2π/n)+ i sin(2π/n), and this is called the principal nth root o...

OBJECTIVES To present and compare antibiotic prescribing for inpatients among the most common non-bacterial diagnoses groups at medicine departments of a teaching (TH) and a non-teaching hospital (NTH) in central India. SETTING An observational cross-sectional study was conducted at two tertiary care settings in Ujjain district, Madhya Pradesh, India. DATA AND PARTICIPANTS The data were col...

Escherichia coli possesses two DNA glycosylase/apurinic lyase activities with overlapping substrate specificities, endonuclease III and endonuclease VIII, that recognize and remove oxidized pyrimidines from DNA. Endonuclease III is encoded by the nth gene. Endonuclease VIII has now been purified to apparent homogeneity, and the gene, nei, has been cloned by using reverse genetics. The gene nei ...

Activation of oxidative stress-responses and downregulation of insulin-like signaling (ILS) is seen in Nucleotide Excision Repair (NER) deficient segmental progeroid mice. Evidence suggests that this is a survival response to persistent transcription-blocking DNA damage, although the relevant lesions have not been identified. Here we show that loss of NTH-1, the only Base Excision Repair (BER) ...

Bacterial nucleoid associated proteins play a variety of roles in genome maintenance and dynamics. Their involvement in genome packaging, DNA replication and transcription are well documented but it is still unclear whether they play any specific roles in genome repair. We discovered that untwisting of the DNA double helix by bacterial non-specific DNA binding proteins stimulates the activity o...

In telescopic homotopy theory, a space or spectrum X is approximated by a tower of localizations LnX, n ≥ 0, taking account of vn-periodic homotopy groups for progressively higher n. For each n ≥ 1, we construct a telescopic Kuhn functor Φn carrying a space to a spectrum with the same vn-periodic homotopy groups, and we construct a new functor Θn left adjoint to Φn. Using these functors, we sho...

The oxidation and deamination of 5-methylcytosine (5mC) in DNA generates a base-pair between 5-hydroxymethyluracil (5hmU) and guanine. 5hmU normally forms a base-pair with adenine. Therefore, the conversion of 5mC to 5hmU is a potential pathway for the generation of 5mC to T transitions. Mammalian cells have high levels of activity of 5hmU-DNA glycosylase, which excises 5hmU from DNA. However, ...