Structural and Computational Existence Results for Multidimensional Subshifts

Symbolic dynamics is a branch of mathematics that studies the structure of infinite sequences of symbols, or in the multidimensional case, infinite grids of symbols. Classes of such sequences and grids defined by collections of forbidden patterns are called subshifts, and subshifts of finite type are defined by finitely many forbidden patterns. The simplest examples of multidimensional subshifts are sets of Wang tilings, infinite arrangements of square tiles with colored edges, where adjacent edges must have the same color. Multidimensional symbolic dynamics has strong connections to computability theory, since most of the basic properties of subshifts cannot be recognized by computer programs, but are instead characterized by some higher-level notion of computability. This dissertation focuses on the structure of multidimensional subshifts, and the ways in which it relates to their computational properties. In the first part, we study the subpattern posets and Cantor-Bendixson ranks of countable subshifts of finite type, which can be seen as measures of their structural complexity. We show, by explicitly constructing subshifts with the desired properties, that both notions are essentially restricted only by computability conditions. In the second part of the dissertation, we study different methods of defining (classes of ) multidimensional subshifts, and how they relate to each other and existing methods. We present definitions that use monadic second-order logic, a more restricted kind of logical quantification called quantifier extension, and multi-headed finite state machines. Two of the definitions give rise to hierarchies of subshift classes, which are a priori infinite, but which we show to collapse into finitely many levels. The quantifier extension provides insight to the somewhat mysterious class of multidimensional sofic subshifts, since we prove a characterization for the class of subshifts that can extend a sofic subshift into a nonsofic one.

Form, size and volumetric expansion of Adzuki beans (Vigna angularis) during soaking

This study analyzed the variation in shape and size of Adzuki beans during soaking at different temperatures. In addition, different mathematical models were fitted to the experimental values of volumetric expansion, selecting the best one. Grains of Adzuki beans (Vigna angularis) with moisture content of approximately 0.25 (decimal d.b.) were manually harvested; they were, then, dried to 0.128 (decimal d.b.). The beans were subjected to soaking in distilled water at the temperatures 18 ± 1, 27 ± 1, 36 ± 1, and 45 ± 1 °C, in five repetitions. Recipients containing 80 mL of distilled water and 20 g of beans for each sample were used. The samples were periodically weighed in order to determine the water absorption. After that, the samples were removed from the recipients and placed on filter papers for two minutes to drain the surface water. Water absorption continued until the beans reached the saturation moisture content. It was concluded that, the form of the Adzuki beans was altered regularly, the orthogonal axes expanded differentially in the radial and axial directions, and that the linear model appropriately described the volumetric expansion of the Adzuki beans, among the series of models analyzed for the temperatures 18, 27, 36 and 45 °C.

Efectos de la temperatura, el ambiente lumínico y la escarificación sobre la germinación de semillas de Bromelia serra Griseb. (Bromeliaceae)

Bromelia serra Griseb. (Bromeliaceae) es una hierba terrestre que habita en el sotobosque de bosques abiertos del Chaco y el Cerrado. En este trabajo se analizó el efecto de la temperatura, el clima lumínico y la escarificación sobre la germinación de semillas. Se evaluaron dos regímenes de temperatura (15/20 ºC y 20/30 ºC), tres ambientes lumínicos (Luz, Filtro y Oscuridad; 100% luz y 0.65 R:FR, 100% luz y 0.09 R:FR y sin luz respectivamente) y dos tratamientos de escarificación (Escarificación durante 1 min. con H2SO4 al 30% y Control sin escarificar). La temperatura fue un factor clave ya que solo se registró germinación (una reducida fracción de las semillas y en forma lenta) en el tratamiento a 20/30 ºC. Las semillas fueron indiferentes a la intensidad de luz, germinando tanto en condiciones de luz como de oscuridad. La calidad de la luz afectó la germinación, registrándose mayores porcentajes de germinación a altas relaciones R:FR. No se detectaron efectos de la escarificación en la germinación de las semillas. Los resultados de este trabajo aportan información básica sobre la germinación de semillas, que resultan útiles para el manejo de la especie.

Software for Transport Accessibility Analysis: The Case of Moscow

In this thesis the process of building a software for transport accessibility analysis is described. The goal was to create a software which is easy to distribute and simple to use for the user without particular background in the field of the geographical data analysis. It was shown that existing tools do not suit for this particular task due to complex interface or significant rendering time. The goal was accomplished by applying modern approaches in the process of building web applications such as maps based on vector tiles, FLUX architecture design pattern and module bundling. It was discovered that vector tiles have considerable advantages over image-based tiles such as faster rendering and real-time styling.

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"(…)concepto sobre la numeración que deben tener las actas de reuniones de Junta Directiva, si cada año empiezan desde el número 01 si deben tener una numeración consecutiva sin importar el año…Adicionalmente, si las (sic) numeración corresponda a los (sic) sesiones extraordinarias es diferente a las ordinarias"

Second Welland Canal - Book 2, Survey Map 11 - Marlatts Bridge in Thorold

Survey map of the Second Welland Canal created by the Welland Canal Company showing the canal in Thorold Township. Identified structures associated with the Canal include the towing path. The surveyors' measurements and notes can be seen in red and black ink and pencil. Local area landmarks are also identified and include streets and roads(ex. Road to Allanburgh), Marlatt's Bridge, Marlatt's Culvert, Marlatt's Dwelling House, Willson's Dwelling House, Willson's Tannery, a flume, a bridge house, a covered drain, and a creek. Properties and property owners of note are: Lots 49, 50, and 51, Hiram Marlatt, Willson, John Kelley, and E. Hopkins.

Second Welland Canal - Book 3, Survey Map 1 - Canal to Chippewa Creek with Port Robinson

Survey map of the Second Welland Canal created by the Welland Canal Company showing Port Robinson and the canal to Chippewa Creek. The surveyors' measurements and notes can be seen in red and black ink and pencil. Local area landmarks are also identified and include streets and roads (ex. Front Street, Bridge Street, and Cross Street), the Welland railroad, Dry Dock leased to D. McFarland and Abbey, G. Jordan Tavern, D. McFarland and Co. Burnt Saw Mill, I. Pew Shop, Old Locks, New Lock, Canal to Chippewa Creek, Chippewa Creek, covered drain from dry dock, a barn and several bridges. Properties and property owners of note are: Lots 202, Broken Front lots 202 and 203, D. McFarland, and G. Jordan.

Second Welland Canal - Book 3, Survey Map 12 - Village of Welland

Survey map of the Second Welland Canal created by the Welland Canal Company showing the canal in the Village of Welland. Identified structures and features associated with the Canal include the towing path, the old canal, the aqueduct lock, the new aqueduct, the old aqueduct, Lock Tenders House, a waste weir, culvert, covered drain, drain, dam, flume, and the canal's New Line. The surveyors' measurements and notes can be seen in red and black ink and pencil. Local area landmarks are also identified and include bridges, roads, and streets (ex. Division Street and Main Street), Chippewa Creek, Mill Pond, Mill Race, Court House and Gaol, Seeley (Seely) and Dunlop Saw Mill, Seeley (Seely) and Dunlop (Burnt) Grist Mill, Montrose Grist Mill, M. Caferty (Cafferty) City Hotel, Welland House by Wilkerson, Eli Mead Wharf Lot, A. Sherwood Wharf Lot, D. P. Myers Store, M. Cook Grist Mill, A. H. Cosby Saw Mill, Betts Lumber Yard, T. Quinn Tavern, a Carding Mill, shed, several barns, a hotel, and several structures or properties belonging to: J. P Evans, W. A. Phillips, S. Hampton, M. Silverthorne, D. McEwing, W. B. Hendershott (Hendershot), T. Burgar, J. Brookfield, A. Hendershott, Joseph Burgar, C. Demrie, M. Cafferty, J. Spencer, Mrs. Curran, John Lemon, D. Cooper, H. A. Rose, J. Bridges, A. Chapman, and R. Morewood. A structure belonging to a D. McKelly or McKully, and a store belonging to a J. Fino or Finn are also present. Properties and property owners of note are: Lots 247 and 248 of the Thorold Township, 5th Concession Lots 26 and 25 of the Crowland Township, Smith Shotwell, Eli Mead, D. P Myers, Donaldson, McFarland, Mrs. Silverthorne, Price, and Griffth. A County Court House Lot containing the Court House, Gaol and Gaol Yard is present.

Second Welland Canal - Book 3, Survey Map 13 - Village of Welland - Merrittville and Crowland

Survey map of the Second Welland Canal created by the Welland Canal Company showing the township of Crowland as well as the Village of Welland-Merritville. Identified structures associated with the Canal include Old Canal, old towing path, water way, bridge, culvert, covered drain, drain, and towing path. Surveyor measurements and notes can be seen in red and black ink and pencil. Local area landmarks include E. Seeley's store, W.A. Bald's store, barn, and two ponds. Roads parallel to Canal include the old towing road, towing path, Canal Street, road to Welland_lle, and road to Junction. Roads perpendicular to Canal include Road Allowance between the 5th and 6th Concession, Division Street, Road to Narrows. Properties and property owners are noted as W.A. Bald, E. Seeley, John Price, Eli Mead, Jacob Griffith, John Hellems. Lots noted are: Lots Number 25, 26, 5th Concession.

Second Welland Canal - Book 3, Survey Map 14 - Village of Junction and Crowland

Survey map of the Second Welland Canal created by the Welland Canal Company showing the border area of the townships of Crowland and Humberstone, as well as the Village of Junction. Identified structures associated with the Canal include ditches, guard lock, old canal, new towing path, bridge, feeder to Dunnville, covered drain. Surveyor measurements and notes can be seen in red and black ink and pencil. Local area landmarks include James Turf Tavern and possible marshland. Roads parallel to Canal include western Road Allowance, the new towing road, road to Welland and road to Junction. Roads perpendicular to Canal include Road Allowance between the 5th and 6th Concession. Properties and property owners are noted as Thomas. C. Street, James Tuft, and John Hellems. Lots noted are: Lots Number 26, 27, 6th Concession.

Second Welland Canal - Book 3, Survey Map 19 - Petersburgh and Humberstone

Survey map of the Second Welland Canal created by the Welland Canal Company showing the areas in and around Petersburg and Humberstone. Identified structures associated with the Canal include North and South Back Ditches, Bridge Tender's Building, Towing Path, Old Back Ditch, and Covered Drain. Features of the First Welland Canal are noted in red ink. Surveyor measurements and notes can be seen in red and black ink and pencil. Local area landmarks include bridge, barns, ruins of Stone Mill (burnt), Wesbern (Wabern) Hotel and spoil banks. Roads labelled running parallel to Canal is the south Road Allowance. Roads perpendicular to Canal include Road Allowance between 1st and 2nd Concession, Road to Waterloo Ferry, Road Allowance between 2nd and 3rd Concessions. Properties and property owners/renters are identified as follows: A. Augustine, Captain Duffil, O. Farres, I. Schooley, George Augustine, E. Schooley (Schooly), R. and J. Kilmer (Killmer), J. Urich, J. Thompson (Tompson), M. Reeb, G. Wilson, J. Klee, John Steel, E. Augustine, Furry, J. Jackson, Robert House, R. White, J. Crame, D. Saff, J. Kinnard, J. Schooley, Dickson, C. Erhoff, and G. Rother."Village of Petersburgh" - Scale 2 Chs. per Inch "Humberstone" - Scale 4 Chs. per Inch,

Volume-Synchronized Probability of Informed Trading (VPIN), Market Volatility, and High-Frequency Liquidity

We assess the predictive ability of three VPIN metrics on the basis of two highly volatile market events of China, and examine the association between VPIN and toxic-induced volatility through conditional probability analysis and multiple regression. We examine the dynamic relationship on VPIN and high-frequency liquidity using Vector Auto-Regression models, Granger Causality tests, and impulse response analysis. Our results suggest that Bulk Volume VPIN has the best risk-warning effect among major VPIN metrics. VPIN has a positive association with market volatility induced by toxic information flow. Most importantly, we document a positive feedback effect between VPIN and high-frequency liquidity, where a negative liquidity shock boosts up VPIN, which, in turn, leads to further liquidity drain. Our study provides empirical evidence that reflects an intrinsic game between informed traders and market makers when facing toxic information in the high-frequency trading world.

Article of agreement between Alexander Cook, contractor of Humberstone and the Provisional Municipal Council of the county of Welland

Article of agreement between Alexander Cook, contractor of Humberstone and the Provisional Municipal Council of the county of Welland to construct and build the main drain through the marsh lands tract commencing in lot no. 27 in the 4th concession in the township of Humberstone in a southerly direction (6 pages, handwritten). This is signed by John Frazer, Provisional Warden, Dexter Deverardo and Alexander Cook. (2 copies), Dec. 30, 1854.