Double transitivity of Galois Groups in Schubert Calculus of Grassmannians

We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2- and 3-planes have doubly transitive Galois groups, as do all Schubert problems involving only special Schubert conditions. We use these results to give a new proof that Schubert problems on Grassmannians of 2-planes have Galois groups that contain the alternating group. We also investigate the Galois group of every Schubert problem on Gr(4,8), finding that each Galois group either contains the alternating group or is an imprimitive permutation group and therefore fails to be doubly transitive. These imprimitive examples show that our results are the best possible general results on double transitivity of Schubert problems.Comment: 25 page

AN ANALYSIS OF COMPETING AGRICULTURAL LAND USES

Land Economics/Use,

The constitution op the bases and colouring matters from the seeds of Galega officinalis

Galegine has been shown to be an amylene derivative of guanidine . . .Galegine yields on distillation, an amine which has been shown to be an amylene compound . . . The hydrobromide, picrate, and aurichloride have been described.A new compound, dihydrogalegine (isoamylguanidine) has been prepared from galegine, and its constitution determined. The sulphate, picrate and nitrate have been described. What is probably a hydroxy amylguanidine has also been prepared, and its sulphate and picrate described.Dihydrogalegine (isoamylguanidine) has been synthesised from isoamylamine and cyanamide.Tanret's method for the isolation of galegine has been simplified.The yellow colouring matter from the seeds of Galega officinalis has been isolated and identified as Luteolin. It has been obtained in the form of a glucoside of the formula, C₂₁H₂₀O₁₁.3H₂O, for which the name "Galuteolin" is suggested.A suggested means of identification of hydroxyfiavones has been described

Alien Registration- White, Frank T. (Auburn, Androscoggin County)

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Decomposing data sets into skewness modes

We derive the nonlinear equations satisfied by the coefficients of linear combinations that maximize their skewness when their variance is constrained to take a specific value. In order to numerically solve these nonlinear equations we develop a gradient-type flow that preserves the constraint. In combination with the Karhunen-Lo\`eve decomposition this leads to a set of orthogonal modes with maximal skewness. For illustration purposes we apply these techniques to atmospheric data; in this case the maximal-skewness modes correspond to strongly localized atmospheric flows. We show how these ideas can be extended, for example to maximal-flatness modes.Comment: Submitted for publication, 12 pages, 4 figure

The Journals of Lieutenant John Pickell, 1836-1837

During the summer of 1837, virtually all military operations against the Seminoles ceased. For several months after General Thomas S. Jesup’s agreement with the Indians in March, only sporadic fighting had occurred in Florida. The Army was employed in encouraging the Indians to assemble for emigration to the West as provided by the truce and in exploring the country. At the same time, however, additional troops were arriving to resume hostilities, if this should become necessary. The Seminoles, on the other hand, used this period to delay their embarkation and at the same time to continue their attacks upon white settlements. The resumption of the war, consequently, was inevitable

Macomb\u27s Mission to the Seminoles: John T. Sprague\u27s Journal

On March 22, 1839, Major General Alexander Macomb left Washington to go to Florida in an unsuccessful attempt to end the expensive and futile war which had already lasted four years against the Seminole Indians. On his staff, accompanying him as aid-de-camp, was Lieutenant John T. Sprague of the 8th Infantry, who maintained the official diary of the expedition. This journal which has not been published in its entirety previously, contains the chronicle of the great council which assembled in May of that year to try to establish peace once more. Although General Macomb’s peace mission failed, Lieutenant Sprague’s diary is of great interest because it contains an acount of the conduct of the negotiations which supplements his own history of the Florida War in which the record of this particular episode is short and extremely sketchy

A Scouting Expedition along Lake Panasoffkee

By the early spring of 1842 the Second Seminole War was drawing to its close. Since the noteworthy engagement at Lake Okeechobee on December 25, 1837, when the Indians had been defeated and had fled into inaccessible hiding-places, few pitched battles had been fought. Consequently, for several years the troops had engaged in a series of scouting expeditions which were designed to ferret out the numerous small bands of Indians and capture them