Formalising Exact Arithmetic in Type Theory

Abstract This paper focuses on four tire computational models based on two-dimensional shear deformation theories, namely, the first-order Timoshenko-type theory, the higher-order Timoshenko-type theory, the first-order discrete-layer theory, and the higher-order discrete-layer theory. The joint influence of anisotropy, geometrical nonlinearity, and laminated material response on the tire stress-strain fields is examined. The comparative analysis of stresses and strains of the cord-rubber tire on the basis of these four shell computational models is given. Results show that neglecting the effect of anisotropy leads to an incorrect description of the stress-strain fields even in bias-ply tires.

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Campus Social Climate Correlates of Environmental Type Dimensions

NASPA Journal ◽

10.2202/0027-6014.1397 ◽

2004 ◽

Vol 41 (4) ◽

Cited By ~ 1

Author(s):

Daniel W. Salter ◽

Reynol Junco ◽

Summer D. Irvin

Keyword(s):

Work Environment ◽

Personal Growth ◽

Type Theory ◽

General Purpose ◽

Myers Briggs Type Indicator ◽

Environment Scale ◽

Type Indicator ◽

Group Environment ◽

System Maintenance ◽

Environment Type

To address the ability of the Salter Environment Type Assessment (SETA) to measure different kinds of campus environments, data from three studies of the SETA with the Work Environment Scale, Group Environment Scale, and University Residence Environment Scale were reexamined (n = 534). Relationship dimension scales were very consistent with extraversion and feeling from environmental type theory. System maintenance and systems change scales were associated with judging and perception on the SETA, respectively. Results from the SETA and personal growth dimension scales were mixed. Based on this analysis, the SETA may serve as a general purpose environmental assessment for use with the Myers-Briggs Type Indicator.

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Coq plugin for the Reasonably Exceptional Type Theory

Artifact Digital Object Group ◽

10.1145/3342520 ◽

2019 ◽

Author(s):

Pierre-Marie P�drot ◽

Nicolas Tabareau ◽

Hans Jacob Fehrmann ◽

�ric Tanter

Keyword(s):

Type Theory

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Propositions and specifications of programs in Martin-Löf's type theory

BIT Numerical Mathematics ◽

10.1007/bf02136027 ◽

1984 ◽

Vol 24 (3) ◽

pp. 288-301 ◽

Cited By ~ 25

Author(s):

Bengt Nordström ◽

Jan Smith

Keyword(s):

Type Theory

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$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

Journal of High Energy Physics ◽

10.1007/jhep04(2021)187 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

H. Babaei-Aghbolagh ◽

Komeil Babaei Velni ◽

Davood Mahdavian Yekta ◽

H. Mohammadzadeh

Keyword(s):

Type Theory ◽

Free Action ◽

Momentum Tensor ◽

Flow Equation ◽

Supersymmetric Model ◽

Deformation Problem ◽

Dimensional Spacetime ◽

Non Linear ◽

The Relationship ◽

Simple Integration

Abstract We investigate the $$ T\overline{T} $$ T T ¯ -like flows for non-linear electrodynamic theories in D(=2n)-dimensional spacetime. Our analysis is restricted to the deformation problem of the classical free action by employing the proposed $$ T\overline{T} $$ T T ¯ operator from a simple integration technique. We show that this flow equation is compatible with $$ T\overline{T} $$ T T ¯ deformation of a scalar field theory in D = 2 and of a non-linear Born-Infeld type theory in D = 4 dimensions. However, our computation discloses that this kind of $$ T\overline{T} $$ T T ¯ flow in higher dimensions is essentially different from deformation that has been derived from the AdS/CFT interpretations. Indeed, the gravity that may be exist as a holographic dual theory of this kind of effective Born-Infeld action is not necessarily an AdS space. As an illustrative investigation in D = 4, we shall also show that our construction for the $$ T\overline{T} $$ T T ¯ operator preserves the original SL(2, ℝ) symmetry of a non-supersymmetric Born-Infeld theory, as well as $$ \mathcal{N} $$ N = 2 supersymmetric model. It is shown that the corresponding SL(2, ℝ) invariant action fixes the relationship between the $$ T\overline{T} $$ T T ¯ operator and quadratic form of the energy-momentum tensor in D = 4.

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