Sentence examples for using the assumptions of from inspiring English sources

Using the assumptions of the nonpartisan Congressional Budget Office, the surplus runs out in 2052.

This astounding relationship between a particle's spin and its quantum behaviour can be proved mathematically using the assumptions of quantum field theory.

By using the assumptions of the theorem, we conclude the proof.

By rearrangement, using the assumptions of Theorem 3.4, we have ∏ j = 1 m f j ( x ) = ∏ k = 1 s g k ( x ).

Using the assumptions of Theorem 2.1 and the definition of we get that the first term in (2.14) has the form (2.18).

The dynamic equations of motion for cylindrical laminated shells are derived using the assumptions of Love's theory of thin elastic shells.

Both Bürgi and Kepler were astronomical observers, and Kepler included logarithmic tables in his famous Tabulae Rudolphinae (1627; "Rudolphine Tables"), astronomical tabulations of planetary motion derived by using the assumption of elliptical orbits about the Sun.

without using the assumption of Hausdorffness.

An expression of fracture area at any time may be derived using the assumption of: 1.

Independent component analysis (ICA) solves the BSS problem using the assumption of mutually statistically independent sources.

By using the assumption of, we can get following equality: (3.5).