Sentence examples for by using the property from inspiring English sources

However, although the company's loans are not raised by using the property as surety, as mortgages are, the loans are attached to the property to which the improvements are made.

By using the property (K) of, we have (3.21).

By using the property of integral, we could have the solution of Equation (5).

By using the property of harmonics, it is easily verified that: (13).

This can be easily shown by using the property implying that (and similarly for ).

Taking the differential transform of Eq. (4.1), by using the property, we have (4.4).

This Lemma can be easily proven by using the properties of the positive (semi) definite matrices.

By using the properties of a log function, we get immediately (44).

By using the properties of M -matrix, a new delay differential-difference inequality is established.

Many authors have studied the twisted -Bernoulli polynomials by using the properties of the -adic invariant -integral on (cf. [4]).

By using the properties of the metric projection and m-accretive mappings, we can easily prove the following two lemmas.