41. Then the linear function that takes a number to transforms a circulant numbering to another circulant numbering. 42. Then f ( p ) is a sum of three linear functions and is therefore itself linear. 43. The square root is a nonlinear function, and only linear functions commute with taking the expectation. 44. All sorts of non-linear functions of the explanatory variables can be fit by the model. 45. Generally, output is a linear function of input only for a fixed portion of the transfer characteristics. 46. These may be defined as indeed higher-dimensional piecewise linear function ( see second figure below ). 47. Thus, the sample-complexity is a linear function of the VC dimension of the hypothesis space. 48. The electrophoretic mobilities of these proteins will be a linear function of the logarithms of their molecular weights. 49. For steep slopes, diffusional sediment flux is more appropriately modeled as a non-linear function of slope 50. This is an SDP because the objective function and constraints are all linear functions of vector inner products.
