The origin of letters and numerals : according to the Sefer Yetzirah

[Philadelphia], Univ., Diss., [1914]

The writer's desk book: being a reference volume upon questions of punctuation, capitalization, spelling, division of words, indention, spacing, italics, abbreviations, accents, numerals, faulty diction, letter writing, postal regulations, etc., etc.,

Mode of access: Internet.

The Hindu-Arabic numerals /

Available on demand as hard copy or computer file from Cornell University Library.

Fuzzy modeling based recognition of multi-font numerals

In this paper, we present a new scheme for off-line recognition of multi-font numerals using the Takagi-Sugeno (TS) model. In this scheme, the binary image of a character is partitioned into a fixed number of sub-images called boxes. The features consist of normalized vector distances (gamma) from each box. Each feature extracted from different fonts gives rise to a fuzzy set. However, when we have a small number of fonts as in the case of multi-font numerals, the choice of a proper fuzzification function is crucial. Hence, we have devised a new fuzzification function involving parameters, which take account of the variations in the fuzzy sets. The new fuzzification function is employed in the TS model for the recognition of multi-font numerals.

Observation on the morphology of Australorbis glabratus

The present morphological study of A. glabratus was based on the observation of shell, radula, renal region and genitalia of 50 specimens having a shell diameter of 18 mm. In this summary we record the data pertaining to the chracteristics that can be used in systematics. The numerals refere to the mean and their standard deviation; no special reference being made, they correspond to length measurements. Shell: 18 mm in diameter, 5.59 ± 0.24 mm in greatest width, 5 to 6 whorls. Right side umbilicated, left one weakly depressed. Last whorl about thrice as tall as the penultimate one at the aperture, the measurements being taken on the right side. Aperture perpendicular or a little oblique. Body, extended: 47.06 ± 3.31 mm. Renal tube: Narrow and elongated, 23.84 ± 1.90 mm, showing a pigmented ridge along its ventral surface. Ovotestis: 12.78 ± 1.50 mm. Mainly trifurcate diverticula attaching in fan-like manner to the collecting canal (this arrangement is seen to best advantage in the cephalic middle of the ovotestis). The collecting canal greatly swells at the cephalic end, narrowing suddenly as it leaves the ovotestis. Ovisperm duct: 13.70 ± 1.68 mm, including the non-unwound seminal vesicle. The latter, situated about 1 mm from the beginning af the ovisperm duct, was 1.14 ± 0.29 mm in greatest diameter, and is beset by numerous short diverticula. Sperm duct: 14.16 ± 1.27 mm, pursuing a sinous course along the oviduct. Prostate: Prostate duct 5.53 ± 0.74 mm, collecting a row of long diverticula, the latter 21.6 ± 3.5 in number. Last diverticulum generally simple or bifurcate, penultimate generally arborescent, bifurcate or simple, antepenultimate nearly always arborescent, the remaining ones arborescent. The arborescent diverticula frequently give off secondary branches. Vas deferens: 17.50 ± 2.05 mm. The ratio vas deferens/vergic sac was 4.7 ± 0.6. Verge: 3.70 ± 0.54 mm long, 0.12 ± 0.03 mm wide. Free end tapering to a point where the sperm canal opens. No penial stylet. Vergic sac: 3.77 ± 0.50 mm long, 0.19 ± 0.01 mm wide. The length ratio vergic sac/preputium was 1 ± 0.02. Preputium: Deeply pigmented, 3.79 ± 0.40 mm long, 0.89 ± 0.12 mm wide in the middle. Muscular diaphragm between it and the vergic sac. Two muscular pilasters along its lateral walls. Oviduct: 10.24 ± 1.29 mm, suddenly swollen at the cephalic end so that it forms a folded pouch capping the beginning of the uterus. Uterus: 10.58 ± 1.18 mm. Vagina: 2.06 ± 0.15 mm long, 0.32 ± 0.05 mm wide, showing a swelling at its caudal portion, just above the opening of the spermathecal duct. Spermatheca: 1.57 ± 0.41 mm long, 0.92 ± 0.23 mm wide. Spermathecal duct 1.15 ± 0.23 mm. Radula: 125 to 163 rows of teeth (mean 141.4 ± 9.8). Radula formula 27-1-27 to 34-1-34 (mean 30.9 ± 1.7).

Observations on the morphology of Australorbis nigricans

A morphological study was done on A. nigricans, based on the observation of shell, radula, renal region and genitalia of 50 specimens measuring 18 mm in diameter. The data obtained are to be compared with those recorded in our previous paper (PARAENSE & DESLANDES, 1955) on A. glabratus. The characteristics common to both species will not be mentioned here. The numerals refere to the means and their standard deviations: no special reference being done, they correspond to length measurementes. Shell - 18 mm in diameter, 6.37 ± 0.29 mm in greatest width, 6 whorls. Prevailing colur ferruginous sepia, a minority of olivaceous, ochreous, nigrescent and deeply black specimens being found. Right side variously depressed, umbilicated, 1.5 to 3.5 mm deep from the bottom of the umblicus to the highest level of the last whorl. Left side more depressed than the right one, broadly concave, 1.5 to 3.5 mm deep. Both sides show a varously distinct keel, that looks sharper at the left. Aperture deltoid, varying in outline and width. Body, extended - 60.26 ± 3.62 mm, less pigmented than in glabratus. Renal tube - 30.68 ± 1.69 mm, showing neither ridge nor pigmented line along its ventral surface, this negative character affording a sure means of separation from glabratus. Ovotestis - 14.48 ± 1.93 mm. Ovisperm duct - 13.04 ± 1.60 mm, including the non-unwound seminal vesicle. The latter was 0.97 ± 0,21 mm in greatest width. Carrefour - Resembling that of glabratus. Sperm duct - 21.36 ± 1.53 mm. Prostate - Prostate duct 7.14 ± 0.74 mm, collecting a row of long diverticula numbering 19.6 ± 3.1 and more separate than in glabratus. Last diverticulum generally bifurcate or arborescent, the remaining ones arborescent. Vas deferens - 28.68 ± 1.38. Ratio vas deferens/vergic sac = 6.8±0.8. Verge - 3.08 ± 0.28 mm long, 0.11 ± 0.02 mm wide. Vergic sac - 3.07 ± 0.28 mm long, about 0.20 mm wide. Ratio vergic sac/preputium = 0.84 ± 0.12. Preputium - 3.69 ± 0.47 mm long, 0.85 ± 0.10 mm wide. Albumen gland - Resembling taht of glabratus. Oviduct - 16.26 ± 1.41 mm, swollen at the cephalic end. Uterus - 13.24 ± 1.19 mm. Vagina - 1.70 ± 0.22 mm, swolen at the caudal portion. Spermatheca - 2.78 ± 0.40 mm long, 0.86 ± 0.16 mm wide. Spermathecal duct 1.11 ± 0.20 mm. Radula - 125 to 168 horizontal rows of teeth (mean 153.9 ± 8.4). Radula formula 28-1-28 to 36-1-36 (mean 31.8 ± 1.9). Mode formula 31-1-31. The morphological characteristics of the renal region and shell, and the great body length in the same condition of shell diameter, distinguish A. nigricans from the most related species A. glabratus, giving support to considering it a good species from a txonomic or phenotypic standpoint (morphospecies).

Weak systems of Gandy, Jensen and Devlin

In Part I, we formulate and examine some systems that have arisen in the study of the constructible hierarchy; we find numerous transitive models for them, among which are supertransitive models containing all ordinals that show that Devlin's system BS lies strictly between Gandy's systems PZ and BST'; and we use our models to show that BS fails to handle even the simplest rudimentary functions, and is thus inadequate for the use intended for it in Devlin's treatise. In Part II we propose and study an enhancement of the underlying logic of these systems, build further models to show where the previous hierarchy of systems is preserved by our enhancement; and consider three systems that might serve for Devlin's purposes: one the enhancement of a version of BS, one a formulation of Gandy-Jensen set theory, and the third a subsystem common to those two. In Part III we give new proofs of results of Boffa by constructing three models in which, respectively, TCo, AxPair and AxSing fail; we give some sufficient conditions for a set not to belong to the rudimentary closure of another set, and thus answer a question of McAloon; and we comment on Gandy's numerals and correct and sharpen other of his observations.

Lógica, lenguaje y significado. Lógica intensional y gramática lógica

Este texto representa el esfuerzo combinado de dos lógicos, dos filósofos y un lingüista. Esta empresa fue inspirada por la convicción de los autores de que la lógica y el lenguaje son inseparables, en particular en lo que respecta al análisis del significado. Una región interdisciplinaria emerge entre los límites de la filosofía, la lógica y la lingüística. Lógica, lenguaje y significado: lógica intensional y gramática lógica es una introducción a este campo, el cual aplica los sistemas lógico-formales al estudio del significado del lenguaje natural. El libro comienza con una introducción de los distintos principios de la semántica intensional y luego presenta varias lógicas intensionales, tales como la lógica proposicional modal, la lógica de predicados modal y la lógica temporal. También introduce la teoría de tipos, la lambda-abstracción y la sintaxis categorial.

Adobe Devanagari typeface

Typeface design: collaborative work commissioned by Adobe Inc. Published but unreleased. The Adobe Devanagari typefaces were commissioned from Tiro Typeworks and collaboratively designed by Tim Holloway, Fiona Ross and John Hudson, beginning in 2005. The types were officially released in 2009. The design brief was to produce a typeface for modern business communications in Hindi and other languages, to be legible both in print and on screen. Adobe Devanagari was designed to be highly readable in a range of situations including quite small sizes in spreadsheets and in continuous text setting, as well as at display sizes, where the full character of the typeface reveals itself. The construction of the letters is based on traditional penmanship but possesses less stroke contrast than many Devanagari types, in order to maintain strong, legible forms at smaller sizes. To achieve a dynamic, fluid style the design features a rounded treatment of distinguishing terminals and stroke reversals, open counters that also aid legibility at smaller sizes, and delicately flaring strokes. Together, these details reveal an original hand and provide a contemporary approach that is clean, clear and comfortable to read whether in short or long passages of text. This new approach to a traditional script is intended to counter the dominance of rigid, staccato-like effects of straight verticals and horizontals in earlier types and many existing fonts. OpenType Layout features in the fonts provide both automated and discretionary access to an extensive glyph set, enabling sophisticated typography. Many conjuncts preferred in classical literary texts and particularly in some North Indian languages are included; these literary conjuncts may be substituted by specially designed alternative linear forms and fitted half forms. The length of the ikars—ि and ी—varies automatically according to adjacent letter or conjunct width. Regional variants of characters and numerals (e.g. Marathi forms) are included as alternates. Careful attention has been given to the placements of all vowel signs and modifiers. The fonts include both proportional and tabular numerals in Indian and European styles. Extensive kerning covers several thousand possible combinations of half forms and full forms to anticipate arbitrary conjuncts in foreign loan words. _____

On-line handwritten segmentation in linear drawings

This paper addresses the problem of tracking line segments corresponding to on-line handwritten obtained through a digitizer tablet. The approach is based on Kalman filtering to model linear portions of on-line handwritten, particularly, handwritten numerals, and to detect abrupt changes in handwritten direction underlying a model change. This approach uses a Kalman filter framework constrained by a normalized line equation, where quadratic terms are linearized through a first-order Taylor expansion. The modeling is then carried out under the assumption that the state is deterministic and time-invariant, while the detection relies on double thresholding mechanism which tests for a violation of this assumption. The first threshold is based on an approach of layout kinetics. The second one takes into account the jump in angle between the past observed direction of layout and its current direction. The method proposed enables real-time processing. To illustrate the methodology proposed, some results obtained from handwritten numerals are presented.

Numerali

Encyclopedia entry on "numerals" (from a linguistic point of view)

Equivalência monetária em crianças surdas

No ensino de habilidades monetárias os procedimentos de escolha com o modelo (MTS) e de escolha com o modelo com resposta construída (CRMTS) têm se mostrado efetivos. Entretanto, há uma controvérsia sobre a importância dos pré-requisitos. O experimento 1 teve por objetivo verificar o efeito de um ensino de MTS e CRMTS sobre a equivalência monetária em crianças surdas com diferentes repertórios matemáticos. Participaram 10 crianças matriculadas em uma Unidade de Ensino Especializada distribuídas em dois grupos experimentais: Crianças com maior repertório matemático (Grupo I) e crianças com menor repertório matemático (Grupo II). As sessões foram realizadas na referida instituição. Um microcomputador foi usado com um software (REL 5.3.3 for Windows). Inicialmente, os participantes foram submetidos a pré-testes e a um pré-treino de identidade. Em seguida, ao ensino de relações condicionais via MTS entre valores monetários em LIBRAS e numerais decimais (AB), valor monetário em LIBRAS e figuras de moedas (AC) e a valor monetário em LIBRAS e figuras de notas (AD), seguidos dos testes de simetria e transitividade. Nos dois grupos, houve emergência de relações para a maioria dos participantes. Posteriormente, houve ensino via CRMTS de figuras de notas e numerais decimais (DB‟), seguido de testes de simetria e transitividade. Nos testes houve variabilidade no responder em ambos os grupos. Pós-testes e testes de manutenção mostraram desempenho consistente com o treino. O experimento 2 teve por objetivo replicar os resultados do experimento 1 verificando se modificações no ensino produziria equivalência monetária. Participaram 3 crianças surdas. O ambiente experimental, materiais e equipamentos foram os mesmos. O procedimento foi similar ao procedimento utilizado no experimento 1, mas com a introdução de algumas fases experimentais: 1) tentativas randomizadas de ensino, ensino de componentes numéricos e pré-treino de CRMTS. Os resultados indicam emergência de relações para os três participantes em MTS e emergência de poucas relações em CRMTS. Em ambos os experimentos a complexidade da tarefa foi uma das possíveis explicações do desempenho e os pré-requisitos não interferiram na a aprendizagem deste tipo de tarefa.

O ensino de matemática: uma proposta para a aprendizagem dos números

The objective of this study is an analysis of the actions of teacherand students when inserted in the teaching-learning in mathematics classes in a class of third year of elementary school. A didactic proposal construction, was developed taking into account the history of the number as a human, considering its evolution through its conceptual nexus, so that the teaching-learning process would enable the construction of theoretical thought. This paper presents a brief study of teacher education, specifically early carrer, basing themselves in difficulties and knowledge of teaching practice and curriculum framework that guided the didactic proposal. Thus, not only students but also teachers are undergoing training. From the study for the preparation of didactic proposal, the proposal development process in teaching and learning skills and analysis of actions, it was possible to follow the movement of formation of a teacher-researcher in early carrer

Uma proposta para utilização do computador no processo de ensino e aprendizagem dos primeiros números do sistema hindu-arábico

The aim of this work is presenting the development and the results of a research, which focus of interest has been the making of softwares that could help the process of teaching and learning of the hindu-arabic numerals system, on children in the alphabetical stage. Since the most important presupposes to this work are the development of the number concept according to Jean Piaget (1986-1980) and the reality of the classroom, then three different moments have been fixed: the creation of a beginning scheme of computer activities; the aplication of these activities on children in the alphabetical stage; and, finally, an analysis of the limits and possibilities of these activities while an environment cause of actions that would benefit the process of teaching and learning of the mentioned content. Finally, based on the anlysis of the results obtained, the next step was fixing a more consistant set of computer activities, which makes up a proposal to the use of computer in the process of teaching and learning of the first hindu-arabic numbers

Correcting misconceptions about synaesthesia

In the annals of cognitive neuroscience there are examples of fantastic memory abilities (e.g., Luria, 1968) that befuddle the vast majority of us with normal mnemonic skills. Although such feats have yet to be demonstrated in other species, extraordinary memory may not be unique to humans. One possible example comes from a study by Inoue and Matsuzawa (2007), which showed that following extensive training, a chimpanzee, Ayumu, displayed superior working memory than human volunteers. Recently, Humphrey (2012) hypothesized that Ayumu outperformed the human participants because he had synaesthesia, a condition in which a stimulus (an inducer) will involuntarily elicit an atypical ancillary experience (a concurrent) (e.g., graphemes eliciting color photisms) (Ward, 2013). Specifically, Humphrey posits that Ayumu spontaneously developed grapheme-colour synaesthesia through “cross-cortical leakage” (p. 354) between the parietal cortex, which may support the storage of overlearned sequences, and adjacent colour-coding regions, during working memory training. Humphrey speculates that the synaesthetic associations elicited colour after-images during training with numerals, and, in turn, facilitated superior performance. Here we challenge this hypothesis and argue that it makes a number of assumptions that are not supported by current research.