**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**3

# inertia Related Publications

##### 3 Einsteinâ€™s General Equation of the Gravitational Field

**Authors:**
A. Benzian

**Abstract:**

The generalization of relativistic theory of gravity based essentially on the principle of equivalence stipulates that for all bodies, the grave mass is equal to the inert mass which leads us to believe that gravitation is not a property of the bodies themselves, but of space, and the conclusion that the gravitational field must curved space-time what allows the abandonment of Minkowski space (because Minkowski space-time being nonetheless null curvature) to adopt Riemannian geometry as a mathematical framework in order to determine the curvature. Therefore the work presented in this paper begins with the evolution of the concept of gravity then tensor field which manifests by Riemannian geometry to formulate the general equation of the gravitational field.

**Keywords:**
Riemannian Geometry,
inertia,
principle of equivalence,
tensors

##### 2 Frequency Regulation Support by Variable-Speed Wind Turbines and SMES

**Authors:**
M. Saleh,
H. Bevrani

**Abstract:**

**Keywords:**
frequency regulation,
inertia,
primary frequencycontrol,
rotational energy,
variable speed wind turbine

##### 1 A Note on the Minimum Cardinality of Critical Sets of Inertias for Irreducible Zero-nonzero Patterns of Order 4

**Authors:**
Ber-Lin Yu,
Ting-Zhu Huang

**Abstract:**

If there exists a nonempty, proper subset S of the set of all (n+1)(n+2)/2 inertias such that S Ôèå i(A) is sufficient for any n×n zero-nonzero pattern A to be inertially arbitrary, then S is called a critical set of inertias for zero-nonzero patterns of order n. If no proper subset of S is a critical set, then S is called a minimal critical set of inertias. In [Kim, Olesky and Driessche, Critical sets of inertias for matrix patterns, Linear and Multilinear Algebra, 57 (3) (2009) 293-306], identifying all minimal critical sets of inertias for n×n zero-nonzero patterns with n ≥ 3 and the minimum cardinality of such a set are posed as two open questions by Kim, Olesky and Driessche. In this note, the minimum cardinality of all critical sets of inertias for 4 × 4 irreducible zero-nonzero patterns is identified.

**Keywords:**
Zero-nonzero pattern,
inertia,
critical set of inertias,
inertially arbitrary