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Data from multiple sources can be brought together in one worksheet. Cells can be defined by means of calculation formulas in terms of other cells, so facts from different sources can be logically interlinked to calculate derived values. Calculated cells are updated automatically whenever any of the input cells on which they depend changes.
A default value for ⍺ is specified more neatly than for the left argument of a tradfn. Recursion in a dfn is effected by invoking ∇ or ∇∇ or its name; recursion in a tradfn is effected by invoking its name. Flow control in a dfn is effected by guards and function calls; that in a tradfn is by control structures and → (goto) and line ...
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).
While so called global or inner iterations represent the real time-steps and are used to update the variables and , based on a linearized system, and boundary conditions; there is also an outer loop for updating the coefficients of the linearized system. The outer iterations comprise two steps:
The partial alignments can be tabulated in a matrix, where cell (i,j) contains the cost of the optimal alignment of A[1..i] to B[1..j]. The cost in cell (i,j) can be calculated by adding the cost of the relevant operations to the cost of its neighboring cells, and selecting the optimum.
A v-optimal histogram is based on the concept of minimizing a quantity which is called the weighted variance in this context. [1] This is defined as = =, where the histogram consists of J bins or buckets, n j is the number of items contained in the jth bin and where V j is the variance between the values associated with the items in the jth bin.
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Bellman showed that a dynamic optimization problem in discrete time can be stated in a recursive, step-by-step form known as backward induction by writing down the relationship between the value function in one period and the value function in the next period. The relationship between these two value functions is called the "Bellman equation".