A behavioural economics inquiry into inequality in education: Three empirical essays

This thesis investigates behavioural processes for inequality in education and solutions to mitigate such effects, applying conceptual and methodological insights from behavioural and experimental economics. It explores relative age differences in economic preferences of young individuals, the influence of stereotypes and positive discrimination on performance, and evaluates a program that offers strong encouragement for educational achievement of indigenous high school students.

Economic inequality of the badli workers of Bangladesh: Contested entitlements and a 'perpetually temporary' life-world

This article discusses the experience of economic inequality of badli workers in the state-owned jute mills of the postcolonial state of Bangladesh, and how this inequality is constituted and perpetuated. Nominally appointed to fill posts during the temporary absence of permanent workers, the reality of badli workers’ employment is very different. They define themselves as ‘a different category of workers’, with limited economic entitlements. We undertake content analysis of the badli workers’ narratives to identify elements that they themselves consider constitute these economic entitlements. We consider their perceptions of discrimination and exclusion and explain how, in response to these feelings, they construct their survival strategy. From this, through the writings of Armatya Sen, we discuss the badli workers’ contextual experience and understanding of economic inequality in relation to extant theoretical understandings, seeking to contribute to the field and to empirical studies in the subaltern context.

Solution of singular integral equations with logarithmic and Cauchy kernels

A direct method of solution is presented for singular integral equations of the first kind, involving the combination of a logarithmic and a Cauchy type singularity. Two typical cages are considered, in one of which the range of integration is a Single finite interval and, in the other, the range of integration is a union of disjoint finite intervals. More such general equations associated with a finite number (greater than two) of finite, disjoint, intervals can also be handled by the technique employed here.

Maximal regularity for second order non-autonomous Cauchy problems

We consider some non-autonomous second order Cauchy problems of the form u + B(t)(u) over dot + A(t)u = f (t is an element of [0, T]), u(0) = (u) over dot(0) = 0. We assume that the first order problem (u) over dot + B(t)u = f (t is an element of [0, T]), u(0) = 0, has L-p-maximal regularity. Then we establish L-p-maximal regularity of the second order problem in situations when the domains of B(t(1)) and A(t(2)) always coincide, or when A(t) = kappa B(t).

Albert Einstein with violin, Josef Schwarz at piano, and Boris Schwarz in background; Haberlandstrasse 5, Berlin Portraits Groups; Men

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The pandemic of conflict-related sexual violence and the political economy of gender inequality

Since the 1998 Rome Statute recognized widespread and systematic acts of sexual and gender-based violence (SGBV) as an act of genocide, a war crime and crime against humanity, the last decade has seen historic recognition that egregious acts of sexual violence merit international political and legal attention (UN General Assembly, 1998). Notably there are now no fewer than seven United Nations Security Council resolutions on the cross-cutting theme of Women, Peace and Security.

Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping

This paper presents a new numerical integration technique oil arbitrary polygonal domains. The polygonal domain is mapped conformally to the unit disk using Schwarz-Christoffel mapping and a midpoint quadrature rule defined oil this unit disk is used. This method eliminates the need for a two-level isoparametric mapping Usually required. Moreover, the positivity of the Jacobian is guaranteed. Numerical results presented for a few benchmark problems in the context of polygonal finite elements show that the proposed method yields accurate results.

The alpha method for solving differential algebraic inequality (DAI) systems

This paper describes an algorithm for ``direct numerical integration'' of the initial value Differential-Algebraic Inequalities (DAI) in a time stepping fashion using a sequential quadratic programming (SQP) method solver for detecting and satisfying active path constraints at each time step. The activation of a path constraint generally increases the condition number of the active discretized differential algebraic equation's (DAE) Jacobian and this difficulty is addressed by a regularization property of the alpha method. The algorithm is locally stable when index 1 and index 2 active path constraints and bounds are active. Subject to available regularization it is seen to be stable for active index 3 active path constraints in the numerical examples. For the high index active path constraints, the algorithm uses a user-selectable parameter to perturb the smaller singular values of the Jacobian with a view to reducing the condition number so that the simulation can proceed. The algorithm can be used as a relatively cheaper estimation tool for trajectory and control planning and in the context of model predictive control solutions. It can also be used to generate initial guess values of optimization variables used as input to inequality path constrained dynamic optimization problems. The method is illustrated with examples from space vehicle trajectory and robot path planning.

Svetlichny's inequality and genuine tripartite nonlocality in three-qubit pure states

The violation of the Svetlichny's inequality (SI) [Phys. Rev. D 35, 3066 (1987)] is sufficient but not necessary for genuine tripartite nonlocal correlations. Here we quantify the relationship between tripartite entanglement and the maximum expectation value of the Svetlichny operator (which is bounded from above by the inequality) for the two inequivalent subclasses of pure three-qubit states: the Greenberger-Horne-Zeilinger (GHZ) class and the W class. We show that the maximum for the GHZ-class states reduces to Mermin's inequality [Phys. Rev. Lett. 65, 1838 (1990)] modulo a constant factor, and although it is a function of the three tangle and the residual concurrence, large numbers of states do not violate the inequality. We further show that by design SI is more suitable as a measure of genuine tripartite nonlocality between the three qubits in the W-class states,and the maximum is a certain function of the bipartite entanglement (the concurrence) of the three reduced states, and only when their sum attains a certain threshold value do they violate the inequality.