Juglans ailantifolia Juglans ailantifolia Juglans ailantifolia (synonyms "J. cordiformis" and "J. sieboldiana" and "J. mandshurica" var. "sachalinensis"), the Japanese walnut ( "oni-gurumi"), is a species of walnut native to Japan and Sakhalin. It is a deciduous tree growing to tall, rarely , and 40–80 cm stem diameter, with light grey bark. The leaves are pinnate, 50–90 cm long, with 11-17 leaflets, each leaflet 7–16 cm long and 3–5 cm broad. The whole leaf is downy-pubescent, and a somewhat brighter, yellower green than many other tree leaves. The male flowers are inconspicuous yellow-green catkins produced in spring at the same time as the
Two-sided Laplace transform notation for the two-sided transform; the formula_3 used here recalls "bilateral". The two-sided transform used by some authors is In pure mathematics the argument "t" can be any variable, and Laplace transforms are used to study how differential operators transform the function. In science and engineering applications, the argument "t" often represents time (in seconds), and the function "ƒ"("t") often represents a signal or waveform that varies with time. In these cases, the signals are transformed by filters, that work like a mathematical operator, but with a restriction. They have to be causal, which means that the output in a