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A TLeaf for an Integer data type.
For an integer n and a prime p, let n(p)= max{i pidividesn}.
In this paper, we study the relaxed energy for biharmonic maps from an m-dimensional domain into spheres for an integer m⩾5.
The initial guesses for the FOPID controller parameters to be optimized are found using the analytical solution for integral squared error optimization for an integer order PID controller.
We consider sequences where the processing time of all jobs are at most 1/k times of the optimal value (for an integer k).
Diophantus later gives the condition for an integer: the given number must not contain any prime factor of the form 4n + 3 raised to an odd power, where n is a non-negative integer.
We further propose families of valid inequalities for an integer programming formulation of the problem, one of which specifically links the network design and scheduling decisions.
Necessary and sufficient conditions are established for an integer vector to be the f-vector of some pure simplicial complex of rank three, and also for an integer vector to be thef-vector of some pure simplicial multicomplex of rank three.
Let H0 (respectively H∞) denote the class of commuting pairs of subnormal operators on Hilbert space (respectively subnormal pairs), and for an integer k⩾1 let Hk denote the class of k-hyponormal pairs in H0.
Let, for an integer,.
for an integer (kgeq0).
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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