Sentence examples for matrices and p from inspiring English sources

where U =UT ≥ 0 and R = RT > 0 are some prescribed real matrices and P = PT,Q =QT are positive definite matrices to be determined.

In the vicinity of the Dirac point where two bands touch each other at the Fermi energy level, the Hamiltonian obeys the two-dimensional (2D) Dirac equation [2] as H = v F σ → · p ̂ with vF being the Fermi velocity, σ → the Pauli matrices, and p ̂ the momentum operator.

The trends are similar in the various matrices and p-values are acceptable, with ZRes and ZNMI yielding the largest values of anti-correlation (Table 3).

Connectivity matrices and p-values for the difference in connection strength between paired groups suggested that the connection between pairs of retrosplenial, medial prefrontal, and sensorimotor cortices was strengthened from 5 to 10 weeks, while connectivity involving limbic regions did not change.

FIR establishes carbon-phosphorous bonds that prevent surface migration and agglomeration of P, and enable efficient electron transfer between the rGO matrix and P nanoparticles.

The intercalation of P(An-co-oAs) also has a pronounced effect on the stabilization of electrochemical response in relation to the GO matrix and P(An-co-oAs).

Where I is the identity matrix, and p represents the power.

where | ⋅ | refers to the determinant of the concerned matrix and p ≤ q ≤ n.

where A is the coding matrix and P the packet vector.

The matrix Γ ̃ Y is an M × M matrix and P s and Y are K × K diagonal matrices.

Theorem 3.7 Let A = ( a m k ) be a non-negative regular matrix and p = ( p k ) be such that 0 < h ≤ p k ≤ H < ∞.