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An accelerometer was announced that used infrared light to measure the change in distance between two micromirrors in a Fabry–Perot cavity. The proof mass is a single silicon crystal with a mass of 10–20 mg, suspended from the first mirror using flexible 1.5 μm-thick silicon nitride (Si 3 N 4) beams. The suspension allows the proof mass to ...
Suppose x is a Gaussian random variable with mean m and variance . Also suppose we observe a value y = x + w , {\displaystyle y=x+w,} where w is Gaussian noise which is independent of x and has mean 0 and variance σ w 2 . {\displaystyle \sigma _{w}^{2}.}
A representation of a tree in terms of its orthogonal components. l represents an internal node, an element of the orthonormal basis. This is a precursor to using the tree as a scaffold for the ilr transform
As a result, use of the term normal to mean "orthogonal" is often avoided. The word "normal" also has a different meaning in probability and statistics. A vector space with a bilinear form generalizes the case of an inner product. When the bilinear form applied to two vectors results in zero, then they are orthogonal.
The PIGA was based on an accelerometer developed by Dr. Fritz Mueller, then of the Kreiselgeraete Company, for the LEV-3 and experimental SG-66 guidance system of the Nazi era German V2 (EMW A4) ballistic missile and was known among the German rocket scientists as the MMIA "Mueller Mechanical Integrating Accelerometer". This system used ...
In statistics, Deming regression, named after W. Edwards Deming, is an errors-in-variables model that tries to find the line of best fit for a two-dimensional data set. It differs from the simple linear regression in that it accounts for errors in observations on both the x - and the y - axis.
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An example of an r = 3 parameter group is the matrix group SO(3) consisting of all 3 × 3 orthogonal matrices with unit determinant. A possible parametrization of this group is in terms of Euler angles: x = ( α , β , γ ) {\displaystyle \mathbf {x} =(\alpha ,\beta ,\gamma )} (see e.g., this article for the explicit form of an element of SO(3 ...