Sentence examples for a determinant one from inspiring English sources
The rotation matrix Q is an orthogonal matrix with a determinant one, which lies exactly on the manifold of the special orthogonal group begin{array}{*{20}l} SO(3) = left{ mathbf{Q} in mathbb{R}^{3 times 3}: mathbf{Q}^{top} mathbf{Q} = mathbf{I}, det(mathbf{Q}) = 1right}.
We construct unitary matrices with determinant one as a product of 1 2 N ( N − 1 ) elementary N-dimensional unitary matrices A = ∏ i = 1 N ∏ j = i + 1 N T ij.
If the defining representation of G is the direct sum of finite dimensional representations with determinant one the fixed point subalgebra OG of O∞ is a simple C∗-algebra.
Equating to zero the coefficient determinant one obtains the frequency equation, and solving the last equation one obtains the natural frequencies of the immersed wedge beam.
By reducing to the Vandermonde determinant, it is not hard to find the value of this determinant; one has Δ 1 = 2 m − 1 ( m − 1 ) ! ( 2 m − 4 ) ! !
If a correlation >0.35 was found between a pair of determinants, one factor was removed from the analysis.
In the third step we kept the two determinants with the lowest p-values (if both ≤ 0.15) and tentatively included the remaining determinants, one at a time.
In the second step we kept the determinant with the lowest p-value (if ≤ 0.15) and tentatively included all other determinants, one at a time.
For a real-life searching task, there are two determinants: one is the accuracy of structure prediction and the other is the performance of RScan.
Since argH is in the the last step of the pathway, and the (A) determinant in the first one, we focused the search on organisms presumed to possess the whole pathway and, took into account any structural and/or functional significance of the association of the two determinants.
As a final recourse, and as an inhuman and therefore presumably unbiased one — a determinant without agency — it has a way of coaxing players to accept calls that otherwise might drive them nuts.
