| 单词 | homogeneous function |
| 释义 | homogeneous function A function where multiplying all the arguments by any constant λ multiplies the value of the function by λα is homogeneous of order α. Thus, for example, y = (βx + γz)/(δx + εz) is homogeneous of order 0, since multiplying both x and z by λ leaves y unchanged; y = (βx + γz) is homogeneous of order 1, or linear homogeneous, as multiplying both x and z by λ multiples y by λ; y = (βx + γz)2 is homogeneous of order 2, since multiplying both x and z by λ multiplies y by λ2 ; but y = (βx + γz2) is not homogeneous of any order. |
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