Table 3 below summarises the formalisation of LP both in LEADSTO format and in differential equation format.
The authors suggested that mental rotation training allowed students to spatially re-arrange missing term equations into standard equation format (e.g. 7 + __ = 9 into 9 − 7 = __).
When a model is originally known only in terms of an ABM, it is challenging to derive its counterpart in state equation format.
The data from seven DORIS satellites, TOPEX/Poseidon, SPOT-2, SPOT-3, SPOT-4, SPOT-5, Envisat and Jason-1 were processed and all the analysis centers produced weekly SINEX files in either variance covariance or normal equation format.
Finally, a correlation predicting the onset of cellularity is proposed based on the equation format proposed by Jomaas et al. (2007), derived from the stability analysis of a spherically expending flame.
As an example let us consider LP9 according to the LEADSTO formalisation: Table 3 Specification of local properties in the hybrid language LEADSTO and in differential equation format Open image in new window Here Y i,k) means (a i, b i, c k, s k) and for each LP, the first representation is in the LEADSTO and that will be followed by the differential equation format.
The purpose is to investigate how the different equation formats, design values of material properties, and partial safety factors, affect the implicit design safety and whether it is similar among international guidelines.
The simplification leads to equations similar in format to the Plasticity Theory equations except that the contribution of reinforcement larger than the "balanced" reinforcement is neglected, and the maximum attainable shearing stress is limited to a crushing strength that is based on experimental data from normal and high strength concrete (100 MPa) membranes.
Now, the expression can be converted to general Meijer-G format (Equation 64), and the corresponding computable pdf expression is obtained as f NW ( v ) = Kβ b b DΓ ( m ) G 0, b b + 1, 0 v β ( b 1 2 D ) β | 2 m - 1 β, 2 m + 1 β, …, 2 m + β - 3 β, 1 - 1 β -, (69).
f K P, K S, K E, S, P, E. 1 − Γ K eq In this rate equation, the specific format of the mechanistic kinetic function f(K P, K S, K E, S, P, E) depends on the catalytic mechanism of the reaction.
In order for the later use, we express the preceding equations in vector format that x ̄ n = [ x n ( t 1 ), x n ( t 2 ), …, x n ( t I ) ] T and ψ ̄ n = [ e j 2 Π n I t 1, e j 2 Π 2 n I t 2, …, e j 2 Π nI I t I ] T = [ ψ 1 n, ψ 2 n, …, ψ In ] T.
