Sentence examples for exists in the order from inspiring English sources

Similar trends to Fig. 11 are observed, where an increase in (D_{yy}) exists in the order of 5% from 5 s to longer periods for all days.

The speciation results based on the calculation with PHREEQC indicated that for the Cd-HAP dissolution at 25°C and initial pH 2, the aqueous cadmium species existed in the order of Cd2+ > CdOH+ > Cd2OH3+ > Cd(OH 2 > Cd(OH) 3 −  > Cd(OH) 4 2− ; the aqueous phosphate species occurred in the order of H2PO4 − > H3PO4 > HPO4 2− > PO4 3−.

Then the extremal solutions of PBVP (1.1) exist in the ordering interval [ y, z ].

A fundamental difference between the two mechanisms and the resultant muscle contraction exists in the recruitment order of individual motor units [ 7].

A gene is included in the search ordering of an ancestral node if a BTP exists in the search ordering of at least one organism in both the left and right sub-trees beneath the node.

Then an electronic circuit is designed for the commensurate fractional order α = 0.98, from which we can observe that a chaotic attractor exists in the fractional-order form of the proposed system.

It is found that chaos exists in the fractional-order system (16) when (alpha > 0.94) with the initial condition ((x_0,y_0,z_0) = (0.7,0.1,0)).

This paper focuses on the development of a useful coefficient-dependence relation that exists in the odd-order VFD (OO-VFD) filter, and exploits it in designing the minimax OO-VFD filter.

Therefore, from the Lyapunov exponents and bifurcation diagrams in these figures we conclude that chaos exists in the fractional-order system (6) when selecting a certain range of parameters.

By utilizing the fractional calculus theory and computer simulations, it is found that hyperchaos exists in the new fractional-order four-dimensional system with order less than 4. The lowest order to have hyperchaos in this system is 2.88.

Sir Joseph Hooker, a famous 19th century English botanist, remarked that before Charles Darwin, botanists thought that flowers existed "in order to beautify the landscape".