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| ===Propositional Forms on Two Variables=== | | ===Propositional Forms on Two Variables=== |
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− | ====Table 1==== | + | ====Table A1. Propositional Forms on Two Variables==== |
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| {| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 1. Propositional Forms on Two Variables''' | + | |+ '''Table A1. Propositional Forms on Two Variables''' |
| |- style="background:ghostwhite; height:36px" | | |- style="background:ghostwhite; height:36px" |
| | <math>\mathcal{L}_1</math> | | | <math>\mathcal{L}_1</math> |
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| <br> | | <br> |
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− | ====Table 2==== | + | ====Table A2. Propositional Forms on Two Variables==== |
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| {| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="0" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 2. Propositional Forms on Two Variables''' | + | |+ '''Table A2. Propositional Forms on Two Variables''' |
| |- style="background:ghostwhite; height:36px" | | |- style="background:ghostwhite; height:36px" |
| | <math>\mathcal{L}_1</math> | | | <math>\mathcal{L}_1</math> |
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| <br> | | <br> |
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− | ====Table 3==== | + | ====Table A3. E''f'' Expanded Over Differential Features==== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 3. <math>\operatorname{E}f</math> Expanded Over Differential Features <math>\{ \operatorname{d}x, \operatorname{d}y \}</math>''' | + | |+ '''Table A3. <math>\operatorname{E}f</math> Expanded Over Differential Features <math>\{ \operatorname{d}x, \operatorname{d}y \}</math>''' |
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| <br> | | <br> |
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− | ====Table 4==== | + | ====Table A4. D''f'' Expanded Over Differential Features==== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 4. <math>\operatorname{D}f</math> Expanded Over Differential Features <math>\{ \operatorname{d}x, \operatorname{d}y \}</math>''' | + | |+ '''Table A4. <math>\operatorname{D}f</math> Expanded Over Differential Features <math>\{ \operatorname{d}x, \operatorname{d}y \}</math>''' |
| |- style="background:ghostwhite; height:36px" | | |- style="background:ghostwhite; height:36px" |
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| <br> | | <br> |
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− | ====Table 5==== | + | ====Table A5. E''f'' Expanded Over Ordinary Features==== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 5. <math>\operatorname{E}f</math> Expanded Over Ordinary Features <math>\{ x, y \}\!</math>''' | + | |+ '''Table A5. <math>\operatorname{E}f</math> Expanded Over Ordinary Features <math>\{ x, y \}\!</math>''' |
| |- style="background:ghostwhite; height:36px" | | |- style="background:ghostwhite; height:36px" |
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| <br> | | <br> |
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− | ====Table 6==== | + | ====Table A6. D''f'' Expanded Over Ordinary Features==== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Table 6. <math>\operatorname{D}f</math> Expanded Over Ordinary Features <math>\{ x, y \}\!</math>''' | + | |+ '''Table A6. <math>\operatorname{D}f</math> Expanded Over Ordinary Features <math>\{ x, y \}\!</math>''' |
| |- style="background:ghostwhite; height:36px" | | |- style="background:ghostwhite; height:36px" |
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| ===Differential Forms=== | | ===Differential Forms=== |
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− | ====Expanded on a Logical Basis==== | + | ====Table A7. Differential Forms Expanded on a Logical Basis==== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Differential Forms Expanded on a Logical Basis''' | + | |+ '''Table A7. Differential Forms Expanded on a Logical Basis''' |
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| <br> | | <br> |
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− | ====Expanded on an Algebraic Basis==== | + | ====Table A8. Differential Forms Expanded on an Algebraic Basis==== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Differential Forms Expanded on an Algebraic Basis''' | + | |+ '''Table A8. Differential Forms Expanded on an Algebraic Basis''' |
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| ==Appendix 3== | | ==Appendix 3== |
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− | ===Taylor Series Expansion=== | + | ===Table A9. Taylor Series Expansion=== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Taylor Series Expansion <math>\operatorname{D}f = \operatorname{d}f + \operatorname{d}^2 f</math>''' | + | |+ '''Table A9. Taylor Series Expansion <math>\operatorname{D}f = \operatorname{d}f + \operatorname{d}^2 f</math>''' |
| |- style="background:ghostwhite" | | |- style="background:ghostwhite" |
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| <br> | | <br> |
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− | ===Partial Differentials and Relative Differentials=== | + | ===Table A10. Partial Differentials and Relative Differentials=== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Partial Differentials and Relative Differentials''' | + | |+ '''Table A10. Partial Differentials and Relative Differentials''' |
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| ==Appendix 4== | | ==Appendix 4== |
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− | ===Detail of Calculation for the Difference Map=== | + | ===Table A11. Detail of Calculation for the Difference Map=== |
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| {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%" |
− | |+ '''Detail of Calculation for <math>\operatorname{D}f = \operatorname{E}f + f</math>''' | + | |+ '''Table A11. Detail of Calculation for <math>\operatorname{D}f = \operatorname{E}f + f</math>''' |
| |- style="background:ghostwhite; height:60px" | | |- style="background:ghostwhite; height:60px" |
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