If π is linearly dependent on z 1 and with Gaussian errors, this will be equivalent with a Kalman filter measurement update.
The chance of repeated chemical motifs is much higher in large molecules, which means that rather than restraining a given distance to a specific value, sets of distances and angles can be restrained to be equivalent with a defined tolerance.
More precisely, given (SL) and the (imposed and natural) boundary conditions, then we show that this eigenvalue problem is equivalent with an algebraic eigenvalue problem for a real-symmetric, banded matrix with bandwidth, and we will construct this matrix explicity.
Concluding Remarks (i) By our theorem every discrete Sturm-Liouville eigenvalue problem is equivalent with an algebraic eigenvalue problem for a banded, symmetric matrix under the assumptions (4.4) and (4.7).
This comparison showed that the ranges of LAC produced by both methods are equivalent with an increase in LAC of the mixed solution of approximately 2% over the range of 0 66 mM.
The length of the exoccipital articulation surface is equivalent with a phylogenetic character that differentiates hadrosaurines from lambeosaurines and non-hadrosaurid hadrosauroids (degree of the caudal extension of the supraoccipital-exoccipital shelf35,61,62).
Concerning the residence time distribution compartment reactors, static mixer and pneumatic agitated tubular reactor are equivalent with a cascade of four CSTR.
At the supervision level, it is shown that the decision about which agents should take on what role in the desired tight formation is equivalent with a classical pairing (or task assignment) problem.
We shall show that problem (2.1) is equivalent with a certain eigenvalue problem in dimension 4n with separated endpoints.
Mally's list of surprising theorems seems too short: for example, (24) is equivalent with A → !A in virtue of Def.
