The first two cervical vertebrae, C1 and C2, are also known as the atlas and axis, respectively. The odontoid process of C2, also known as the dens, is the superiorly projecting bony prominence from the body of C2 that sits within the anterior portion of the ring of C2. C1 rotates around this. Anterior odontoid screw fixation involves the reduction and stabilization of an odontoid fracture usin...

• Dictatorship: ( 1, . . . , n) = 1 • Democracy: When |C| = 2, c1 ( 1, . . . , n) c2 iff |{i : c1 i c2}| ≥ |{i : c2 i c1}|. Theorem 4.3. When |C| = 2, majority voting is the only social welfare functional that is monotone (an agent’s preference change from c1 to c2 does not cause the global preference to change from c2 to c1) and symmetric with respect to agents (permuting the agents does not c...

To evolve C2, it is necessary that a continuous operational evolution to netcentric warfare take place. We must focus on DoD C2 as the major force multiplier of Net-Centric Warfare. This focus will enable accelerated evolution of DOTMLPF changes across the DoD C2 enterprise. By providing all users, with shared access to C2 information, regardless of COCOM boundaries, will enable new levels of c...

Lemma 8. Given an m × m symmetric matrix A and a target rank k, we let C1 contain the c1 columns of A selected by a column sampling algorithm such that the following inequality holds: ∥∥A− PC1A∥∥2F ≤ f∥∥A−Ak∥∥2F . Then we select c2 = kf −1 columns to construct C2 and c3 = (c1+ c2) −1 columns to construct C3, both using the adaptive sampling according to the residual B1 = A − PC1A and B2 = A − P...

(a) The hypothesis states that f(n) ∈ Ω(g(n)), from which it follows that f(n) ≥ c1 · g(n), for some c1 > 0 and all n ≥ N1. Likewise, we have g(n) ∈ Ω(h(n)), which implies that g(n) ≥ c2 · h(n), for some c2 > 0 and all n ≥ N2. Observe that for all n ≥ N3 = max (N1, N2), we have f(n) ≥ c1 ·gn and g(n) ≥ c2 ·hn and therefore, f(n) ≥ c1 · c2 · h(n). Putting c3 = c1 · c2, we get f(n) ≥ c3 · h(n), f...

Given two concepts C1 and C2 with types T1 and T2, Garner and Tsui (1987) have proposed a modification of Sowa’s semantic distance between C1 and C2 as follows. Find the concept C3 which generalizes C1 and C2 with type T3 such that T3 is the most specific type which subsumes T1 and T2; the semantic distance between C1 and C2 is the sum of the distances from C1 to C3 and C2 to C3. It should be c...