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