We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order statistics, and lattice polynomials, are actually those continuous functions that reduce to linear functions on each simplex of the standard tria...

We propose a general framework for addressing three fundamental issues using linear combinations: (1) the properties of the examples to linearly combine, (2) the constraints, and (3) the method for estimating the linear combinations coef®cients for reconstructing an object based on noisy and incomplete visual observations. To this end, we synthesise the necessary examples from known data using ...

Let -----. For an analytic self-map ---  of --- , Let --- be the composition operator with composite map ---  so that ----. Let ---  be a bounded analytic function on --- . The weighted composition operator ---  is defined by --- . Suppose that ---  is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....

Let A and B be 2 × non-zero complex matrices. P a linear combination of in the form P=c_1 A+c_2 where c_1,c_2 are nonzero scalar numbers. An idempotent matrix is which, when multiplied by itself, yields itself. In this study, we established entries according to given such that also an matrix. addition, result was obtained determined singular