Sentence examples for field of degree from inspiring English sources

Let F be an extension field of degree [F: F].

Let K be a number field of degree d, and let r be its unit rank, and let R be its regulator.

One described the signal from remote magnetospheric sources, modeled as a zonal external field of degree 2 in geocentric solar magnetospheric (GSM) coordinates (for a definition of such coordinates, see, e.g., Hulot et al. (2015a)).

Theorem 5 Let K be an algebraic number field of degree m, and let g ( x ) = ∑ n = 0 ∞ α n e n x n. be a power series such that α n ∈ K are non-zero algebraic numbers and e n > 1 are rational integers satisfying the following conditions: lim _ n → ∞ log e n + 1 log e n = η > 1, (1).

2. U.S. Census, 2012: Work Life Earnings by Field of Degree and Occupation for People With a Bachelor's Degree: 2011. Figure 1: Synthetic Work-Life Earnings by Field of Bachelor's Degree and Occupation Group for Full-Time, Year-Round Workers Whose Highest Attainment is a Bachelor's Degree (2012) by Tiffany Julian ([ACSBR/11-04] [ACSBR/11-04]

But after the relevant committees balked at her request, she got OMB to agree that asking about undergraduate fields of degree was in the national interest.

Let N(n) be the maximum possible number of limit cycles bifurcating from nilpotent critical points for analytic vector fields of degree n.

For tensor or spinor fields of degree (-1, 0, 1, ldots,) the intrinsic wave operators are ( partial ^{2}, partial ^{2})^{2}, partial ^{2})^{3},ldots ) respectively [28].

We prove that the expected value and median of the supremum of L2 normalized random holomorphic fields of degree n on m-dimensional Kähler manifolds are asymptotically of order √mlogn.

Let Π n be the set of all polynomials in a single variable x over the complex field ℂ of degree at most n.

For the core and lithospheric field of SH degree greater than 18, the reference radius is set to a=6371.2 km.