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Unlike the calculations in the "The complete alteration of hyaloclastites" section, these ones started with a given amount of water (1 dm3) and a relatively small amount of basalt.
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Instead of starting with a given policy for controlling the network and then study the resulting dynamics, we start from a desired steady-state behavior and derive a policy which achieves this behavior.
The search algorithm is developed on PSO to iteratively search optimum point, starting with a given reference search space and improving it based on the location of best searched point in each iteration.
Starting with a given point, one can watch the trajectory of the point under repeated applications of the rule; one can think of the rule as moving the starting point around over time.
In contrast to the common approach which starts with a given efficiency function and derives a differential equation for the supporting polynomial of the D-optimal design, we derive a differential equation for the efficiency function, such that an explicit solution of the D-optimal design problem is possible.
Start with a given affluent population of any size.
Suppose action a 1 is consecutively taken n times starting with a given b t).
Sequences of values we generate by such revision rules, starting with a given initial hypothesis, are revision sequences.
It's obvious: Start with a given stock of provisions in the cupboard, subtract consumption and eventually the cupboard will be bare.
A C ∗ -algebra is an adjoint-closed subalgebra of B ( H ) which is closed with respect to the norm topology on B ( H ). In general, and especially relevant in the current context, one often builds a C ∗ -algebra by starting with a given set of elements in B ( H ), and then forming the smallest C ∗ -subalgebra of B ( H ) which contains that set.
To solve the word problem in G one runs in parallel two separate algorithms ({mathcal A}_{mathrm {yes}}) and ({mathcal A}_{mathrm {no}}), such that starting with a given pair of elements (w, w' in F X)) ({mathcal A}_{mathrm {yes}}) stops if and only if (w=W') in G and ({mathcal A}_{mathrm {no}}) stops if and only if (wne w') in G.
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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