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Indeed, without the method of diagram chasing, many results in these two books seem inconceivable, or at the very least would have required a considerably more intricate presentation.
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(Curiously, although Eilenberg & Steenrod defined categories, Cartan & Eilenberg simply assumed them!) These books allowed new generations of mathematicians to learn algebraic topology and homological algebra directly in the categorical language, and to master the method of diagrams.
A classification method of phase diagram types is proposed.
The general method of phase diagram construction (i.e. the Gibbs energy minimization) is converted during the construction of the EESDs into the method of synthesis potential maximization.
In this work, we focused on development of a reliable method of phase diagram construction i.e. determination of thermodynamic boundaries, where a compressible regular solution theory based model (CRS) has been used to resolve the essence of experimental knowledge on interaction parameters of models such Flory–Huggins.
We have used the method of acceptance diagrams to compute the performance of low energy neutron removal mirrors, or "deflectors", placed within a parallel neutron guide.
The obtained general solutions allow us to use the method of memory diagrams in order to calculate the reaction of the system on arbitrarily varying tangential or rotational actions.
Secondly, the hysteretic character of the equivalent axisymmetric problem can be addressed through the method of memory diagrams which replaces the complex traction distribution in the contact zone by a simple internal functional dependency comprising the same memory information.
To compare best predicting method of HFP, scattered diagram of best empirical correlation, VdW-model and new correlation are depicted in Fig. 8.
Le Chatelier introduced to France methods of analyzing alloys based on metallography, and he also contributed to the method of drawing phase diagrams.
Using the method of centre stage diagramming, this 3-year [2007 2009] longitudinal study reports a single case study of Ben and Mary that maps the onset of Alzheimer's disease within Ben's late-stage Parkinson's disease and the impact, adjustment and meaning that this had for the couple.
Write better and faster with AI suggestions while staying true to your unique style.
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