The Finite Embeddability Property for some noncommutative knotted varieties of RL and DRL.

Residuated lattices, although originally considered in the realm of algebra providing a general setting for studying ideals in ring theory, were later shown to form algebraic models for substructural logics. The latter are non-classical logics that include intuitionistic, relevance, many-valued, and linear logic, among others. Most of the important examples of substructural logics are obtained by adding structural rules to the basic logical calculus

Magnetism in graphene nanoislands

We study the magnetic properties of nanometer-sized graphene structures with triangular and hexagonal shapes terminated by zigzag edges. We discuss how the shape of the island, the imbalance in the number of atoms belonging to the two graphene sublattices, the existence of zero-energy states, and the total and local magnetic moment are intimately related. We consider electronic interactions both in a mean-field approximation of the one-orbital Hubbard model and with density functional calculations. Both descriptions yield values for the ground state total spin S consistent with Lieb’s theorem for bipartite lattices. Triangles have a finite S for all sizes whereas hexagons have S=0 and develop local moments above a critical size of ≈1.5  nm.

Magnetic Edge Anisotropy in Graphenelike Honeycomb Crystals

The independent predictions of edge ferromagnetism and the quantum spin Hall phase in graphene have inspired the quest of other two-dimensional honeycomb systems, such as silicene, germanene, stanene, iridates, and organometallic lattices, as well as artificial superlattices, all of them with electronic properties analogous to those of graphene, but a larger spin-orbit coupling. Here, we study the interplay of ferromagnetic order and spin-orbit interactions at the zigzag edges of these graphenelike systems. We find an in-plane magnetic anisotropy that opens a gap in the otherwise conducting edge channels that should result in large changes of electronic properties upon rotation of the magnetization.

Volume I, original,

This volume is a tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another. The portion at the back, which is much shorter in length, contains transcriptions of acts and orders of the General Court from 1642, 1650, and 1657. It also contains the "Rules and Statutes Relating to the Hollis Professorship of Divinity" and those relating to the Hollis Professorship of Mathematics and Natural and Experimental Philosophy, as well as a transcription of a portion of Mary Saltonstall's will.

Commonplace book of Nathaniel Freeman, 1786-1787

Nathaniel Freeman made entries in this commonplace book between 1786 and 1787, while he was an undergraduate at Harvard College. The book includes the notes Freeman took during three of Hollis Professor Samuel Williams' "Course of Experimental Lectures," and cover Williams' lectures on "The Nature & Properties of Matter," "Attraction & Repulsion," and "The Nature, Kind, & Affections [?] of Motion." These notes also include one diagram. The book also includes forensic compositions on the subjects of capital punishment, the probability of "the immortality of the soul," and "whether there be any disinterested benevolence." It also includes a poem Freeman composed for his uncle, Edmund Freeman; an anecdote about Philojocus and Gripus; an essay called "Character"; a draft of a letter to the Harvard Corporation requesting that, in light of the public debt, the Commencement ceremonies be held privately to lower expenses and exhibit the merits of economy; and an "epistle" to his father, requesting money. This epistle begins: "Most honored sire, / Thy son, poor Nat, in humble strains, / Impell'd by want, thy generous bounty claims."

Diary,

This diary is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Commonplace book,

This commonplace book is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Harvard University Notebook,

This notebook is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Harvard University Notebook,

This notebook is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Harvard University Notebook,

This notebook is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Memorandum book,

This book is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Memorandum book,

This book is written in tête-bêche, with texts beginning at both the front and back covers rotated 180⁰ from one another.

Shoulder pain in overhead athletes : a systematic review of orthopaedic causes

Trabalho Final do Curso de Mestrado Integrado em Medicina, Faculdade de Medicina, Universidade de Lisboa, 2014

Analgesia epidural no tratamento da dor oncológica : caso clínico

Trabalho Final do Curso de Mestrado Integrado em Medicina, Faculdade de Medicina, Universidade de Lisboa, 2014

Ripple migration directions and grain fabric measurements on ODP Hole 210-1276A sediments

Albian turbidites and intercalated shales were cored from ~1145 to 1700 meters below seafloor at Site 1276 in the Newfoundland Basin. Strata at this level dip ~2.5° seaward (toward an azimuth of ~130°) based on seismic profiles. In contrast, beds dip an average of ~10° in the cores. This higher apparent dip is the sum of the ~2.5° seaward dip and a measured hole deviation of 7.43°, which must be essentially in the same seaward direction. Using the maximum dip direction in the cores as a reference direction, paleocurrents were measured from 11 current-ripple foresets and 11 vector means of grain fabric in planar-laminated sandstones. Five of the planar-laminated sandstone samples have a grain imbrication 8°, permitting specification of a unique flow direction rather than just the line-of-motion of the current. Both ripples and grain fabric point to unconfined flow toward the north-northeast. There is considerable spread in the data so that some paleoflow indicators point toward the northwest, whereas others point southeast. Nevertheless, the overall pattern of paleoflow suggests a source for the turbidity currents on the southeastern Grand Banks, likely from the long-emergent Avalon Uplift in that area. On average, turbidity currents apparently flowed axially in the young Albian rift, toward the north. This is opposite to what might be expected for a northward-propagating rift and a young ocean opening in a zipperlike fashion from south to north.