Sentence examples for a mathematical manner from inspiring English sources

However, some specific types of properties can also be analysed by calculations in a mathematical manner, without performing simulations; see, for example [11 16].

But sometimes, as a kind of prediction properties can also be found by calculations in a mathematical manner, without performing simulations.

As such, any rank ordering of intervention can be indicative only, and should never be interpreted in a mathematical manner.

We will give an appropriate expression to describe the rate of each metabolic reaction in an SSI module before modeling it in a mathematical manner, especially for the reactions with inhibition.

Reviewer #3: The authors implement, in a simple mathematical manner, an elaboration of Hull's "drive reduction theory" (1943), a theory that reinforces a behavior if it reduces any deviation of an organism from homeostasis.

From three IGE runs, we extracted four significant input variables from 15 input variables, including watershed chemical loads, precipitation, inflow, and outflow, and expressed them appropriately in a sophisticated mathematical manner with accepted complexity.

However, such systems are difficult to study in a rigorous mathematical manner, and few analysis tools exist at this point.

Such properties that are found in an analytical mathematical manner can be used for verification of the model by checking them for the values observed in simulation experiments.

Such types of properties found in an analytic mathematical manner can be used for verification of the model by checking them for the values observed in simulation experiments.

Almost in a mathematical way.

"Maybe in a mathematical way".