This collection of articles is a mathematical exploration of Directionals, a central measure based in decay. Although it is easily calculated from its context, the mathematician in charge of this mess followed his urge to derive a content-based equation. This led to some miraculous equations which mimic seeds in their patterns of unfurling and unraveling. In the last Notebook, a picture/equation was derived, which is visually beautiful. The picture/equation seems to reflect natural fractal patterns – illustrating the direct connection between science, nature and art.

51. Building Derivatives of a Data Stream

52. Deviations & Scalars; Directionals & Vectors

61. Characteristics of Deviations

62. Differences of Deviations or Which is larger?

71. History: A Context-based approach to Directionals

72. Derivatives as a function of their content

73. Furling, Unfurling & a Fractal Root

74. Double Unfurling & Unraveling

81. Foundations of Live Data Stream Science

84. Foundations of Potential Impact

85. A Reprise: Decay & the Fractalization of Time

91. Theoretical Underpinnings of the Potential Impact Graphs

92. Pascal's Triangle & a Binomial Expansion