Intermediate UBC configurations
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System administrators can produce more starting conïfigurations by multiplying the values taken from some existing configuration by the same number, or by combining 2 configurations into a new one. UBC derived configuration examples shows 2 examples of such configurations, derived from existing examples.
Scaling configurations[edit]
Multiplying all the confguration numbers by a number greater than 1 produces a configuration for more “heavy” load or applications (see example 2A). Multiplying by positive numbers less than 1 produces “lighter” configuration. Configurations produced by multiplying an existing configuration by a number greater than 1 will be consistent if the original configuration was consistent.
Caution: lighter configurations produced by multiplying some configuration by a number less than 1 may happen to be inconsistent (see UBC consistency check for more details about configuration consistency).
Intermediate configurations[edit]
It is also possible to produce intermediate configurations between the given two, combining the numbers with coefficients:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle config_{new} = \alpha \cdot config_1 + (1-\alpha) \cdot config_2, }
where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 0<\alpha<1} . Example labelled “0.5A+0.5B” (see UBC derived configuration examples) is such an intermediate configuration with Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha=} ½.
Intermediate configurations produced by this rule will be consistent if the original configurations were consistent.
Caution: configurations produced by summing configurations with arbitrary coefficients (not giving 1 in sum or not all positive) may produce inconsistent configurations.