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Firstly, we make use of symmetry conditions present in a representative volume element of material.
Thermodynamic balance equations are written to describe the time evolution of a two-phase, crystal-amorphous element of material undergoing ball milling.
Instead of making the threshold non-zero, the correct remedy is to consider the weakest link model to have a finite number of links, each of them representing one finite-size representative volume element of material.
Once the damage accumulated in this element of material becomes critical, the crack propagates through the damaged region into a new region of virgin material where the process of damage accumulation begins again.
In Hindu/Vedic sacred and philosophical texts, the art and act of devotion, like nearly every element of material existence, can be framed through the three gunas, or modes of nature.
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"Like Kerry, Obama wouldn't have much leverage with the tough-nosed Putin unless Obama was also putting into play in the Syria war new elements of material — not verbal — pressure against the Assad-Russia-Iran alliance".
The proposed strategy consists of homogenising the three length-scales by means of representative volume elements of material.
Some of the complementarities of any given civilization are between elements of "material" life and ones commonly treated as integral to "culture".
Rather than searching for the elements of material landscape that make a particular place health-giving, the taskscape perspective focuses on the on-going activities that produce distinctive material landscapes, discipline, individual meaning, and therapeutic experience.
This paper presents an optimisation-based, automated procedure known as automated targeting to analyse a total property-based network that consists of the individual elements of material reuse/recycle, regeneration/interception and waste treatment.
Under this heading Albert establishes another hierarchy with the animal kingdom at the top, followed by the plant kingdom, then the world of minerals (in which Albert had a deep interest), and finally the elements of material creation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com