From complex design to simple advice

From Simple to Complex Compounds

From Logarithmic Advice to Single-Bit Advice

Building on Barak’s work (Random’02), Fortnow and Santhanam (FOCS’04) proved a time hierarchy for probabilistic machines with one bit of advice. Their argument is based on an implicit translation technique, which allow to translate separation results for short (say logarithmic) advice (as shown by Barak) into separations for a single-bit advice. In this note, we make this technique explicit, by...

Trichothecenes: From Simple to Complex Mycotoxins

As the world's population grows, access to a safe food supply will continue to be a global priority. In recent years, the world has experienced an increase in mycotoxin contamination of grains due to climatic and agronomic changes that encourage fungal growth during cultivation. A number of the molds that are plant pathogens produce trichothecene mycotoxins, which are known to cause serious hum...

The origin recognition complex: from simple origins to complex functions.

Eukaryotic DNA replication is an intricate process that requires the coordinate and tightly regulated action of numerous molecular machines. Eukaryotic cells must choose hundreds if not thousands of origins of replication and assemble multiple proteins or protein complexes at these sites. During S phase, these complexes are activated in a reproducible, temporal program to generate twice this nu...

The splitting design that leads to simple random sampling

Implementing unequal probability sampling, without replacement, is very complex and several methods have been suggested for its performance, including : Midseno design and systematic design. One of the methods that have been introduced by Devil and Tille (1998) is the splitting design that leads to simple random sampling .in this paper by completely explaining the design, with an example, we ha...