MATHEMATICA notebook for computing tetrahedral finite element shape functions and matrices for the Helmholtz equation

A MATHEMATICA notebook to compute the elements of the matrices which arise in the solution of the Helmholtz equation by the finite element method (nodal approximation) for tetrahedral elements of any approximation order is presented. The results of the notebook enable a fast computational implementation of finite element codes for high order simplex 3D elements reducing the overheads due to implementation and test of the complex mathematical expressions obtained from the analytical integrations. These matrices can be used in a large number of applications related to physical phenomena described by the Poisson, Laplace and Schrodinger equations with anisotropic physical properties.

Exploiting the Modularity of Value Chains: Inter-firm Dynamics of the Taiwanese Notebook PC Industry

This paper explores the inter-firm dynamics that govern the rise of capabilities of latecomer firms operating in global value chains. By extending and modifying the model proposed by Gereffi, Humphrey and Sturgeon [2005], I present a framework in which the rise of supplier capabilities is determined by interactions among the strategies of the firms. Based on a case study of the Taiwanese notebook PC industry, the paper will explore how the interactions among outsourcing strategies by lead firms from the developed countries, the learning strategies of Taiwanese suppliers, and the product strategy of powerful component vendors have driven the explosive growth of the industry after the 1990s. By so doing, the paper attempts to highlight the active roles firms play in determining the speed and direction of the rise in supplier capabilities.

Notebook, 1710-1711

Paper notebook with the handwritten notes written in both Latin and English.

Notebook, 1711

Paper notebook with thirteen pages of Latin text titled "Age! Age! Tu reconciliati simus diabolumq; ex oculemus." The last page of text includes the inscription: "T. F. focit-- ex occasione memorabili - Anno 1711 (Domino Whiting Tutore quo) (ut nomini)."

Notebook, 1713

Paper notebook with nine pages of Latin text. The texts are titled: "Declamatio in Landem [Agriculthirae]," "In Laudem Artis Bellicee," and "Ut Sit Mens..."

Notebook, ca. 1714

Paper notebook with Latin text including theses titled "Divisio deber constare partibus paucissimis," "Forma dat esse rei --Theses primae," "Simile non agit in simile probabir à Mr T. Foxcroft in Thesis hâc," and "Lux est Corpus probatur 1712 Thesis." The notebook includes unattached pages of various sizes and a paper fragment.

Notebook, ca. 1714

Paper notebook of Latin grammar including verb conjugations.

II. Academic notebook, [ca. 1745]

This paper notebook contains undated and unattributed handwritten summaries and notes from published texts on world history, religion, and natural history, and was presumably kept by William Sever. The first page notes the death of poet Alexander Pope in 1744, constituting the latest date referenced in the notebook. The entries are typically short and offer condensed information on subjects including the histories of England, Japan and Siam; early Christian history; and natural religion.

Notebook on logarithms, ca. 1714-1718, 1747

This notebook is missing at least one page, as it begins in the midst of a problem. It contains extensive notes on logarithms and various related examples, problems, and calculations. Prince made notes on the addition, subtraction, multiplication, and division of logarithms, as well as some notes on navigation. The last two pages of this notebook contain a draft of a letter from Prince to an unnamed gentleman in London, thanking him for his financial support. This is believed to have been written in June 1747, when Prince arrived in Portsmouth, England "without one six pence in [his] pocket & without Hat, Coat, Breeches, Shirts, Stockings or shoes fit to come up to London with." In the letter, he thanks this donor for his support and describes in detail his situation and the challenges facing him in leaving the Navy and beginning missionary work. He refers several times to Dr. Philip Bearcroft, the Secretary of the Society for the Propagation of the Gospel, who was responsible for his approval as a Missionary to the Moskito tribe.

Mathematics notebook, ca. 1714-1718

This heavily illustrated notebook contains extensive notes on spheric triangles and spheric angles. These include rules and examples with their solutions.

Mathematics notebook, ca. 1714-1718, with chronology of the reign of Augustus

The first two pages of this notebook contain a comparative chronology of the reign of Augustus, outlined in two columns. One column outlines the chronology according to ecclesiastical scholar Laurence Echard, and the other column outlines the chronology according to William Cave. The rest of the notebook contains extensive entries on the following subjects, with related rules, problems, and illustrations: fractions, decimals, arithmetical progression, geometrical progression, "disjunct proportion, or ye Golden Rule," signs and symbols, integers, geometrical definitions, and Euclidian geometry.

Notebook on geometry, geography, astronomy, and navigation, ca. 1714-1718

This heavily illustrated notebook contains entries on the following topics: geometrical definitions and axioms, geographical and astronomical definitions, compasses, plain sailing, parallel sailing, and Mercator's sailing. It also contains pages designated for notes on "Currents, Lee Way, & Variation," but these pages have been left blank. The back cover contains calculations which appear to relate to charting a course from Jamaica to "Lizzard."