Robust Solutions of MultiObjective Linear Semi-Infinite Programs under Constraint Data Uncertainty

The multiobjective optimization model studied in this paper deals with simultaneous minimization of finitely many linear functions subject to an arbitrary number of uncertain linear constraints. We first provide a radius of robust feasibility guaranteeing the feasibility of the robust counterpart under affine data parametrization. We then establish dual characterizations of robust solutions of our model that are immunized against data uncertainty by way of characterizing corresponding solutions of robust counterpart of the model. Consequently, we present robust duality theorems relating the value of the robust model with the corresponding value of its dual problem.

Three-dimensional planar model estimation using multi-constraint knowledge based on k-means and RANSAC

Plane model extraction from three-dimensional point clouds is a necessary step in many different applications such as planar object reconstruction, indoor mapping and indoor localization. Different RANdom SAmple Consensus (RANSAC)-based methods have been proposed for this purpose in recent years. In this study, we propose a novel method-based on RANSAC called Multiplane Model Estimation, which can estimate multiple plane models simultaneously from a noisy point cloud using the knowledge extracted from a scene (or an object) in order to reconstruct it accurately. This method comprises two steps: first, it clusters the data into planar faces that preserve some constraints defined by knowledge related to the object (e.g., the angles between faces); and second, the models of the planes are estimated based on these data using a novel multi-constraint RANSAC. We performed experiments in the clustering and RANSAC stages, which showed that the proposed method performed better than state-of-the-art methods.

Constraint qualifications in convex vector semi-infinite optimization

Convex vector (or multi-objective) semi-infinite optimization deals with the simultaneous minimization of finitely many convex scalar functions subject to infinitely many convex constraints. This paper provides characterizations of the weakly efficient, efficient and properly efficient points in terms of cones involving the data and Karush–Kuhn–Tucker conditions. The latter characterizations rely on different local and global constraint qualifications. The results in this paper generalize those obtained by the same authors on linear vector semi-infinite optimization problems.

A Chaldee grammar, founded upon the writings of Daniel and Ezra, ca. 1776

This manuscript grammar notebook, written in Chaldean Aramaic and English, appears to have originally belonged to William Bentley (Harvard A.B. 1777); Bentley's name and a date, "December 1776," appear on the volume but have been struck through, and the handwriting appears to be his. The names of Elisha Parmele and Polly Parmele are also on the volume; presumably it was given to Elisha by Bentley, and upon Elisha's death in 1784 it was passed to Polly.

Syriac grammar notebook, completed March 24, 1778

This volume, in Parmele's hand, is written in Syriac and English. It, too, appears to have been passed to Polly Parmele upon his death.

Schemes for printing the Hebrew Grammar, 1734 April 3

One octavo-sized leaf containing a handwritten financial plans for printing 500 copies of the Hebrew Grammar, and, on the verso, an outline for printing 1,000 copies, signed by Judah Monis.

Mr. Monis's computation about printing his Hebrew Grammar, [ca. 1734]

A one-page handwritten computation by Judah Monis for printing the Hebrew Grammar and binding it in sheep and calf skins. The document was written on one folio-sized leaf that is torn in two pieces.

The Hebrew Grammar Account, [1735]

A half-page handwritten statement compiled by Judah Monis for the Harvard Corporation listing costs between July 2, 1734 and February 17, 1734 related to the printing of the Hebrew Grammar.

Instructions for printing the Hebrew Grammar, [ca. 1735]

A one-page handwritten list of instructions, in President Benjamin Wadsworth's hand, for printing, distributing, and collecting revenue on the Hebrew Grammar.

Student notebook of James Blake on Hebrew grammar, 1767

A small paper notebook containing eight-pages of English notes on Hebrew grammar and Hebrew script written by Harvard undergraduate James Blake in 1767. The title of the first page, "Of Nouns," is annotated with the note, "Benj'm Wadsworth, 1767" and the recto of the back cover contains a personal note to "Rev'd Mr. Wadsworth" signed "J. B.," presumably referring to Benjamin Wadsworth (1750-1826; Harvard AB 1769).

An Hebrew grammar, collected chiefly from those of Mr. Israel Lyons, teacher of Hebrew in the University of Cambridge; and the Rev. Richard Grey, D.D. rector of Hinton, in Northamptonshire: To which is subjoined a praxis, taken from the sacred classics, and containing a specimen of the whole Hebrew language: with a sketch of the Hebrew poetry

as retrieved by Bishop Hare ...

Bertrand Competition with an Asymmetric No-discrimination Constraint. Bruges European Economic Research (BEER) 23/June 2012

Regulators and competition authorities often prevent firms with significant market power or dominant firms from practicing price discrimination. The goal of such an asymmetric no- discrimination constraint is to encourage entry and serve consumers’ interests. This constraint prohibits the firm with significant market power to practice both behaviour-based price discrimination within the competitive segment and third-degree price discrimination across the monopolistic and competitive segments. We find that this constraint hinders entry and reduces welfare when the monopolistic segment is small.

Verbs as Linguistic Markers of Agency - The Social Side of Grammar

Basic grammatical categories may carry social meaning irrespective of their semantic content. In a set of four studies, we demonstrate that verbs – a basic linguistic category present and distinguishable in most languages – are related to the perception of agency, a fundamental dimension in social perception. In an archival analysis on actual language use in Polish and German, we found that targets stereotypically associated with high agency (men and young people) are presented in the immediate neighborhood of a verb more often than non-agentic social targets (women and old people). Moreover, in three experiments using a pseudo-word paradigm, verbs (but not adjectives and nouns) were consistently associated with agency (but not communion). These results provide consistent evidence that verbs, as grammatical vehicles of action, are linguistic markers of agency. In demonstrating meta-semantic effects of language, these studies corroborate the view of language as a social tool and of language as an integral part of social perception.