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Shrinkage in Concrete01:27

Shrinkage in Concrete

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Shrinkage in concrete is primarily due to water loss from evaporation, hydration of cement, or carbonation, leading to a reduction in volume. The volumetric contraction results in volumetric strain in concrete. However, in practice, shrinkage is measured as linear strain, which is one-third of the volumetric strain.
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Drying Shrinkage01:21

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When hardened concrete is exposed to air with a relative humidity of less than 100 percent, it begins to lose the free water within its capillaries. As this water evaporates, the water initially adsorbed onto the calcium silicate hydrates migrates towards these now empty spaces and eventually evaporates as well. Over time, as more water leaves, the volume of the concrete decreases, a phenomenon known as drying shrinkage.
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Atmospheric CO2 penetrates the concrete's pores and, in the presence of moisture, forms carbonic acid, which then reacts with calcium hydroxide in the hydrated cement, forming calcium carbonate. This process reduces the concrete's volume and is termed carbonation shrinkage.
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The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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Generalized Anxiety Disorder (GAD) is a chronic condition characterized by excessive and uncontrollable worry that persists for at least six months, significantly interfering with daily functioning. Unlike situational anxiety, which arises in response to specific stressors, GAD often occurs without a clear cause. Individuals may experience disproportionate worry about work, health, or relationships. For instance, a person might continuously fear poor health despite normal medical evaluations or...
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According to George Herbert Mead, as children progress beyond the game stage, they develop a more comprehensive understanding of societal rules and norms. This cognitive and social development enables them to internalize the expectations of the broader community, refining their ability to regulate behavior.Consistent participation in organized activities is crucial in helping children recognize that their actions are not isolated but contribute to a more significant, interconnected group...
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Bayesian generalized biclustering analysis via adaptive structured shrinkage.

Ziyi Li1, Changgee Chang2, Suprateek Kundu1

  • 1Department of Biostatistics and Bioinformatics, Emory University, 1518 Clifton Road, NE, Atlanta, GA, USA.

Biostatistics (Oxford, England)
|January 1, 2019
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Summary
This summary is machine-generated.

This study introduces a new Bayesian biclustering method capable of analyzing diverse omics data types. The method integrates biological information for improved feature selection and robust pattern discovery.

Keywords:
-omics dataAdaptive shrinkage priorBayesianBiclusteringBiological informationIntegrative analysis

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Statistical Genetics

Background:

  • Biclustering identifies local patterns in data matrices by simultaneously clustering features and samples.
  • Existing methods primarily handle continuous data and struggle with diverse omics data types like binomial (SNP) or negative binomial (RNA-seq).
  • Current approaches do not leverage biological information, which can enhance variable selection and prediction in omics analyses.

Purpose of the Study:

  • To develop a novel Bayesian biclustering method that accommodates multiple data types (Gaussian, Binomial, Negative Binomial).
  • To incorporate biological information into the biclustering process for improved feature selection.
  • To demonstrate the method's effectiveness and superiority over existing techniques using simulations and multi-omics data.

Main Methods:

  • A novel Bayesian biclustering framework was developed.
  • The method supports multiple data types, including Gaussian, Binomial, and Negative Binomial distributions.
  • A Bayesian adaptive structured shrinkage prior was employed to integrate biological information for guided feature selection.

Main Results:

  • The proposed Bayesian biclustering method demonstrated robust performance across various data types.
  • Feature selection was effectively guided by incorporating biological information.
  • Comparative analyses showed superior performance against existing biclustering methods on multi-omics datasets.

Conclusions:

  • The novel Bayesian biclustering method offers a flexible and powerful approach for analyzing diverse omics data.
  • Integrating biological information significantly enhances feature selection and analytical performance.
  • This method provides a valuable tool for uncovering complex patterns in multi-omics studies.