Sentence examples for at higher order from inspiring English sources

The approximate solutions at higher order are obtained for the rock and fluid temperatures.

We also explore the four-wave degenerate case, which couples to the pump at higher order.

From this equation, we arrive at higher order derivative of the array type polynomials by the following theorem.

From this equation, we arrive at higher order derivative of the generalized Eulerian type polynomials by the following theorem.

This enables one to study the effects of slenderness ratio on the natural frequencies, especially at higher order modes.

Designs A and B were then excited at higher order modes (142 MHz) along with Designs C and D (100 MHz).

At higher orders this equivalence does not hold anymore.

Therefore, it becomes important to develop heuristic rules for optimizing such libraries, especially at higher orders.

As higher order zeta diversity is only a subset of lower order ones, this declining trend constrains the variation of zeta diversity at higher orders and in turn makes extrapolation of higher order zeta diversity less problematic.

The degree correlation curve (e.g., Langel and Hinze 1998) in Fig. 5b suggests that the highly correlated behavior of the two localized models between degrees 16 through 60 breaks down at higher orders.

At higher orders in the series infinities emerged, making such computations meaningless and casting serious doubts on the internal consistency of the theory itself.