every partition and its conjugation , there is an important invariant , which denotes the number of different parts. That is , . We will derive a series of symmetric q-identities from the invariant in partition conjugation by
studying modified Durfee rectangles. The extensive applications of the several
symmetric q-identities in q-series ? will also be discussed. Without too much effort one can obtain much well-known knowledge
as well as new formulas by proper substitutions and elementary calculations,
such as symmetric identities, mock theta functions, a two-variable reciprocity
theorem, identities from Ramanujan’s Lost Notebook and so on.
Inclusive economic growth is one of key challenges facing countries
across the globe, notwithstanding initial conditions, particularly following
the 2008 global economic slowdown. This paper searches for links between the quality
of institutions, economic policies, economic growth and employment creation in
low-income countries, using the specific case of Sierra Leone to illustrate.
While its findings are consistent with the literature, the paper suggests that
re-focusing economic policies on per capita real GDP growth may yield
employment dividends, but well-targeted interventions would be needed to cater
for the unemployed and to support vulnerable groups which may be
adversely impacted by the very policies that drive growth.