Concrete representations of lattices and the fundamental order

1987 ◽  
pp. 24-31 ◽  
Author(s):  
John T. Baldwin ◽  
Joel Berman
Keyword(s):  
Concrete Representations

Orange You Glad I DID Say “Fraction Division”?

2013 ◽  
Vol 19 (5) ◽  
pp. 288-293
Author(s):  
Alfinio Flores ◽  
Melina D. Priewe
Keyword(s):  
Fraction Division ◽  
Concrete Representations

Students explore multiplicative comparisons and the meaning of remainders using their own concrete representations, including orange wedges.

The Question of Representation

2017 ◽  
Author(s):  
Ben Etherington
Keyword(s):  
Langston Hughes ◽  
Jacques Roumain ◽  
To Come ◽  
Concrete Representations ◽  
Inherent Tendency

Chapter 4 reconsiders the question of primitivist representation in light of the theoretical and historical arguments presented in Chapters 1 through 3. Discussing works by Emil Nolde, D. H. Lawrence, Langston Hughes, and Jacques Roumain, it argues that primitivism has an inherent tendency to transcend any fixed notion or representation of the primitive, and that it is the work itself that must produce the sought-for primitive experience. Thus we find a vacillation between concrete representations of “primitive” remnants and an abstracted, nonspecific ideal of the primitive to come.

scholarly journals Quantised affine algebras and parameter-dependent R-matrices

1995 ◽  
Vol 51 (2) ◽  
pp. 177-194 ◽  
Author(s):  
Anthony J. Bracken ◽  
Mark D. Gould ◽  
Yao-Zhong Zhang
Keyword(s):  
Explicit Formula ◽  
Lie Algebra ◽  
Simple Lie Algebra ◽  
Affine Lie Algebra ◽  
Affine Algebras ◽  
Parameter Dependent ◽  
Concrete Representations

Let Uq(G(1)) be a quantised non-twisted affine Lie algebra with Uq(G) the corresponding quantised simple Lie algebra. Using the previously obtained universal R-matrices for and , explicitly spectral-dependent universal R-matrices for Uq(A1) and Uq(A2) are determined. These spectral-dependent universal R-matrices are evaluated in some concrete representations; well-known results for the fundamental representations are reproduced, and an explicit formula for the spectral-dependent R-matrix associated with the V(3) ⊗ V(6) module is derived, where V(3) and V(6) carry the 3- and 6-dimensional representations of Uq(A2), respectively.

A Look at Division with Fractions

1983 ◽  
Vol 30 (5) ◽  
pp. 38-41 ◽  
Author(s):  
Evelyn M. Silvia
Keyword(s):  
Overhead Projector ◽  
Equivalent Fractions ◽  
Graph Paper ◽  
Combined Use ◽  
Multiplication Of Fractions ◽  
Concrete Representations

Graph paper can be used for concrete representations of both fractions and operations with fractions. The combined use of graph paper and an overhead projector makes the presentation even more convincing. The paragraphs that follow are a description of how I have used graph paper to illustrate the algorithm for the division offractions. The activities on division were preceded by activ ities that covered equivalent fractions, as well as addition and multiplication of fractions.

scholarly journals Uwagi o abstrakcji, ufundowaniu i hipostazie

2020 ◽  
Vol 15 (2) ◽  
pp. 143-153
Author(s):  
Marek Magdziak
Keyword(s):  
Abstract Objects ◽  
Abstract Representations ◽  
Concrete Objects ◽  
The Subject ◽  
Concrete Representations

The article deals with philosophical issues concerning abstraction and concreteness, focusing on selected ontological and logical-ontological threads of this dif ficult and intricate problem. Thus, it will concern first of all abstract and concrete objects, and only then abstract representations and judgments and concrete representations and judgments. The subject of interest will also be the process of abstraction and the relations that take place between abstract objects such as features or relations, pure qualities, and ideal objects.

scholarly journals Assessing Preoperative Hope and Expectations Related to Functional Neurosurgery: A New Questionnaire

2021 ◽  
Author(s):  
Michalina Radomska ◽  
Joao Flores Alves dos Santos ◽  
Kerstin Weber ◽  
Marc Baertschi ◽  
Pierre R. Burkhard ◽  
...  
Keyword(s):  
Parkinson’S Disease ◽  
Parkinson's Disease ◽  
Well Being ◽  
Temporal Lobectomy ◽  
Actual State ◽  
Functional Neurosurgery ◽  
Everyday Functioning ◽  
Cognitive Representations ◽  
Surgery Outcomes ◽  
Concrete Representations

Abstract Background: Despite successful functional neurosurgery, patients suffering from epilepsy or Parkinson’s disease may experience postoperative psychological distress and social maladjustments. Difficulties in coping with postoperative changes, even positive ones, have shown to be related to patients’ presurgery cognitive representations (i.e., expectations, hope, abstract vs. concrete representations). The aim of this study was to develop an instrument assessing various key features of surgery outcomes’ representations, namely the Preoperative Hope and Expectations Questionnaire, PHEQ. Methods: Participants were patients (n = 50) diagnosed with Parkinson’s disease (n = 25) or epilepsy (n = 25), candidates for functional neurosurgery (i.e., Deep brain stimulation, anterior temporal lobectomy). At 2-3 weeks before the planned surgery, they were administrated items assessing their actual state, preoperative expectations, and hope regarding surgery outcomes. They also completed measures assessing optimism, quality of life and mood. Results: Exploratory analysis resulted in a 16-item version of the PHEQ composed of two factors (abstract representations, including psychological well-being and concrete representations, such as functional aspects of everyday functioning). The PHEQ demonstrated high internal consistency and good convergent validity. Patients were more prone to express postoperative improvements in terms of hope rather than expectations. They generally focused on concrete rather than abstract features, although patients with Parkinson’s disease had higher abstract future-oriented representations. Conclusions: The PHEQ presents satisfactory psychometric properties and may be considered as a reliable instrument for research and clinical practice.

Krochmal, Nachman (1785–1840)

2018 ◽  
Author(s):  
Jay M. Harris
Keyword(s):  
Eastern Europe ◽  
Philosophy Of History ◽  
Way Of Life ◽  
Philosophical Work ◽  
Cultural Assumptions ◽  
The World ◽  
The Absolute ◽  
Jewish Intellectuals ◽  
Concrete Representations ◽  
Jewish Religion

Nachman Krochmal was leader of the Jewish Enlightenment or Haskalah in Galicia, eastern Europe. An astute observer of the German philosophical environment, Krochmal provided one of the first Jewish responses to, and adaptations of, elements of the philosophical work of Spinoza, Kant, Herder, Schelling and Hegel. His posthumously published Moreh Nevukhei ha-Zeman (Guide to the Perplexed of Today) (1851) adapted Kantian epistemological methods to interpret the Jewish religious sources with an eye to discovering their inner, philosophical meaning. Krochmal argued that at that their deeper level these sources, both ancient and medieval, anticipated the discoveries of the German Idealist philosophers. Thus, for example, the Jewish belief in a personal God who created the world and revealed a desired way of life could remain philosophically fruitful. For, when properly interpreted, such ideas were concrete representations of the truths laid bare in the metaphysics of Hegel and Schelling. Krochmal answered the regnant philosophy of history, which considered Jewish culture to have been sublated, by arguing that Jewish religion, by its apprehension of the absolute, stood outside the historical ‘laws’ that mandate the eventual cultural demise of all nations and states. Although he was an important model for aspiring Jewish intellectuals in eastern Europe, Krochmal’s work was of limited philosophical influence. His lasting contribution may be his implicit exposure of the unstated cultural biases of modern idealist philosophy. For his work shows that alternative cultural assumptions would turn idealist philosophy towards philosophical and religious conclusions significantly different from those of the German Idealists themselves.

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