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=Appendices=
==Appendices==
==Appendix 1==
===Appendix 1===
===Propositional Forms on Two Variables===
====Propositional Forms on Two Variables====
====Table A1. Propositional Forms on Two Variables====
=====Table A1. Propositional Forms on Two Variables=====
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====Table A2. Propositional Forms on Two Variables====
=====Table A2. Propositional Forms on Two Variables=====
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====Table A3. E''f'' Expanded Over Differential Features====
=====Table A3. E''f'' Expanded Over Differential Features=====
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====Table A4. D''f'' Expanded Over Differential Features====
=====Table A4. D''f'' Expanded Over Differential Features=====
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====Table A5. E''f'' Expanded Over Ordinary Features====
=====Table A5. E''f'' Expanded Over Ordinary Features=====
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====Table A6. D''f'' Expanded Over Ordinary Features====
=====Table A6. D''f'' Expanded Over Ordinary Features=====
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==Appendix 2==
===Appendix 2===
===Differential Forms===
====Differential Forms====
The actions of the difference operator <math>\operatorname{D}</math> and the tangent operator <math>\operatorname{d}</math> on the 16 propositional forms in two variables are shown in the Tables below.
The actions of the difference operator <math>\operatorname{D}</math> and the tangent operator <math>\operatorname{d}</math> on the 16 propositional forms in two variables are shown in the Tables below.
This set consists of the positive propositions in the first order differential variables, indicating overlapping positive regions of the tangent universe of discourse. Accordingly, this set of differential propositions may also be referred to as the positive differential basis.
This set consists of the positive propositions in the first order differential variables, indicating overlapping positive regions of the tangent universe of discourse. Accordingly, this set of differential propositions may also be referred to as the positive differential basis.
====Table A7. Differential Forms Expanded on a Logical Basis====
=====Table A7. Differential Forms Expanded on a Logical Basis=====
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====Table A8. Differential Forms Expanded on an Algebraic Basis====
=====Table A8. Differential Forms Expanded on an Algebraic Basis=====
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==Appendix 3==
===Appendix 3===
===Table A9. Taylor Series Expansion===
====Table A9. Taylor Series Expansion====
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===Table A10. Partial Differentials and Relative Differentials===
====Table A10. Partial Differentials and Relative Differentials====
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==Appendix 4==
===Appendix 4===
===Table A11. Detail of Calculation for the Difference Map===
====Table A11. Detail of Calculation for the Difference Map====
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