Convergent subseries of divergent series

Summing Curious, Slowly Convergent, Harmonic Subseries

The harmonic series diverges. But if we delete from it all terms whose denominators contain any string of digits such as “9”, “42”, or “314159”, then the sum of the remaining terms converges. These series converge far too slowly to compute their sums directly. We describe an algorithm to compute these and related sums to high precision. For example, the sum of the series whose denominators cont...

Convergent and divergent perspective.

Use of divergent (or inverse) perspective in pictures is often regarded as arbitrary or even as erroneous in spite of the fact that entire schools of art exist in which this kind of perspective is regularly used. An experiment is reported which shows that a significant trend towards divergent perspective is experienced by subjects viewing laterally displaced three-dimensional arrays. Centrally ...

The Impact of Divergent and Convergent Tasks on Iranian EFL Students’ Reading Comprehension Success

This study was an attempt to investigate the effect of divergent and convergent tasks on intermediate EFL students' reading comprehension success. The participants of this study involved sixty male and female EFL learners who were enrolled in the intermediate level at Kish English Institute in Yasuj. To make them homogeneous in terms of their general English knowledge, they were asked to take p...

Prediction of Radiation Heat Transfer from Combustion Gases in a Convergent- Divergent Nozzle Using Zoning Method

Prediction of Radiation Heat Transfer from Combustion Gases in a Convergent- Divergent Nozzle Using Zoning Method