Equipped with this new machinery, in the present paper we set out to tackle a vector problem, in particular the system of Maxwell equations, which is of interest in applications to electromagnetism. \) The key technical tool for the proof of remainder estimates was a Poincaré-type inequality in an appropriate Sobolev space of quasiperiodic functions, conditioned by the fact that we deal with an arbitrary measure. The strategy for the analysis of the family thus obtained was to use an asymptotic approximation for the solution in powers of \(\varepsilon ,\) carefully analyse the homogenisation corrector as a function of \(\varepsilon \) and \(\theta ,\) and obtain an estimate for the remainder that is uniform with respect to \(\theta. As a starting point of our approach, we considered the PDE family obtained from ( 1.1) by the Floquet transform (see ), in some sense replacing the macroscopic variable by an additional parameter \(\theta \) (“quasimomentum”), akin to the Fourier dual variable for PDE with constant coefficients. Mid-Battle Conversations Chapter XX: No Turning Back vs.For arbitrarily small values of \(\varepsilon >0,\) we formulate and analyse the Maxwell system of equations of electromagnetism on \(\varepsilon \)-periodic sets \(S^\varepsilon \subset ^d,\) and the matrix-function A is uniformly positive definite. The more TP consumed, the stronger the attack. Use all TP to deal non-elemental magic to all enemies whose current HP ends with 7. (2 TP)ĭeal non-elemental damage to all enemies within range who are 5 or more squares above you. Raise the strength and magic attack of all allies within range with 0 TP for 3 turns. (2 TP)ĭeal non-elemental magic damage to all enemies within range whose current HP is a multiple of 5, and have a chance to instantly kill them. (2 TP)ĭeal non-elemental magic damage to all enemies within range whose current HP is a multiple of 4, and decrease their movement by 1 for 3 turn(s).
Gain 3 TP when not moving or using commands on your turn.ĭeal non-elemental magic damage to all enemies within range whose current HP is a multiple of 3. He possesses the following classes and abilities:īecome immune to all status ailments, but don't recover TP naturally at the start of your turn. He wields a Telescope at Weapon Rank 1, a Fish Stick at Weapon Rank 2, and a Kaleidoscope at Weapon Rank 3. Decimal's base class is a Mathematician, a class which operates based on enemy health statistics.
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