Mary McLeod Bethune's Feminism: Black Women as Citizens of the World

This article focuses on the particular moment of the 1945 United Nations charter meeting as a catalyst for a shift in Mary McLeod Bethune's feminist thought. The meeting, where Bethune served as the only African American female delegate, signalled a change in Bethune's thinking about equality for black women, so she used the founding of the United Nations as a platform to promote black women's alliances with other women of colour. Her idea was to reframe black women as citizens of the world, thus putting them in a numerical and ideological majority rather than keeping them in a minority position. Bethune has often been viewed as a reformer of race and gender issues in the early twentieth century, but a focus on her activism has hidden the intellectual contributions that she made to a form of black feminism that emerged out of her work with other clubwomen and through the United Nations in the 1920s through the 1950s. Specifically, this article argues that Bethune's intellectual work created a framework for African American women's feminism that emphasised anti-colonialism and their global alliance with other women of colour throughout the world.     

Gravity-Type Interactive Markov Models—Part II: Lyapunov Stability of Steady States

In Part I of this paper (Smith and Hsieh, 1997) a programming formulation of steady states was developed for gravity-type interactive Markov chains in terms of their associated spatial-flow chains. These results are here applied to analyze the stability properties of interactive Markov chains. In particular, the objective function for this programming formulation is shown to constitute a Lyapunov function for an appropriately defined continuous-time version of spatial-flow chains. The Lyapunov stability properties of these spatial flows are then shown to yield corresponding stability properties for the continuous-time versions of interactive Markov chains. In particular, these processes always exhibit global convergence to steady states. Finally, it is shown that when steady states are unique, these convergence results are inherited by those interactive Markov chains that are 'sufficiently close' to their continuous-time versions.