On ways of repeating

Refounding and repeating Ways to the new

Generalizations of Midy’s Theorem on Repeating Decimals

Let n denote a positive integer relatively prime to 10. Let the period of 1/n be a · b with b > 1. Break the repeating block of a · b digits up into b sub blocks, each of length a, and let B(n, a, b) denote the sum of these b blocks. In 1836, E. Midy proved that if p is a prime greater than 5, and the period of 1/p is 2 · a, then B(p, a, 2) = 10 − 1. In 2004, B. Ginsberg [2] showed that if p is...

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...

Quantitative Structural Temporal Constraints on Repeating Events

This paper presents a model of the temporal structure of repeating events. This model allows for the representation of quantitative temporal constraints for repeating events, viz., those dealing with their part-whole structure. The temporal structure of repeating events is viewed as being composed of ve properties: number, sub-interval duration, gap duration, period and extent. A set of constra...

Repeating Patterns of Mimicry

F ascination with fl ora and fauna usually starts early in life as an all-encompassing childhood pastime. Growing up in Germany in the 1960s and 1970s, I developed an affi nity for natural history as a child, inspired by famous television naturalists, such as Jacques Cousteau and Bernhard Grzimek, as well as by role models closer to home. As a child, it seemed quite natural to observe, experime...