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In order to decompose these linear combinations, which are points of (Lambda _{c}^{(n)}), we define another lattice (left (Lambda _{m}^{(n)}right)) that partitions (Lambda _{c}^{(n)}) into clouds.
The outer parallel body K ρ in the distance ρ of a convex figure K is the union of all solid spheres of radius ρ the centers of which are points of K. Then we have the following Steiner formula for the outer parallel body K ρ ( ρ ≥ 0 ): V ( K ρ ) = ∑ i = 0 n ( n i ) W i ( n ) ( K ) ρ i. (2.13).
There are pyramids, which are points of energy in every culture.
As a first step, we created a GIS schematic depicting the water source locations; pipe characteristics; and nodes, which are points of water consumption.
The inner membranes remain uncalcified, while the fibres of the outer shell membrane become partly mineralized on the external surface at discrete sites which are points of attachment of the mammillary cones of the inner surface of the calcified shell.
They are made from pixels which are points of colour.
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Two sub-algorithms of discrete geometric recognition enable the location of the nodes which can be points of expulsion.
Areas of potential applications of this theory include physics, economics, and engineering in dealing with the study of equilibrium points (which are fixed points of certain mappings).
Moreover, billions of neurons form trillions of synapses, which are critical points of communications between and amongst neurons.
Suppose that there exist which are fixed points of and.
Suppose that there exist z, y ∈ X which are fixed points of T and z ≠ y.
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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