Sentence examples for tends towards infinity. from inspiring English sources

Instead, mathematicians look at the properties of the mathematical system and how it behaves as it tends towards infinity.

The unconditional stability of the uncollocated system will be demonstrated and its typical asymptotic behavior when the gain tends towards infinity will be explained.

Apropos, the goal of this paper is to take the first step towards proving that as the cardinality of the data set tends towards infinity the observation is indeed true.

The K-mixing condition then says that the system's entire remote past history becomes irrelevant to predicting what happens in the future as time tends towards infinity.

The magnitude of T D z)|| z=e −jπ/3 tends towards infinity, yielding a new resonance frequency of f s/6.

It is proved that the particle representation converges almost surely to the quantity of interest as the number of particles tends towards infinity.

As the values for data and time tend towards infinity and zero respectively, the software and hardware requirements ramp up.

It is shown that when the load torque is reduced towards half the value of the torque at the stationary condition, water mass flow rate, rotational speed and output power tend towards infinity.

where the symbol 'lim' (from latin 'limes', meaning border or limit) indicates that we are letting time tend towards infinity (in mathematical symbols: ∞).

The cost functions of the two optimal filtering approaches in (50) and (51) therefore can be thought of as tending towards infinity.

(11) Bai (2003) deduces that the rate of convergence and the limiting distributions of the estimated factors, factor loadings and common component is the stationary DFM when the cross-section and time dimensions tend towards infinity.