MyWikiBiz, Author Your Legacy — Thursday September 11, 2025
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238 bytes added
, 19:28, 5 May 2008
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| ===Note 9=== | | ===Note 9=== |
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| + | Another way of looking at this situation is by letting the (first order) differential features <math>\operatorname{d}u, \operatorname{d}v, \operatorname{d}w</math> be viewed as the features of another universe of discourse, called the "tangent universe to <math>X\!</math> with respect to the interpretation <math>c\!</math> " and represented as <math>\operatorname{d}X \cdot c</math> . In this setting, <math>\operatorname{D}q \cdot c</math> , the "difference proposition of <math>q\!</math> at the interpretation <math>c\!</math> ", where <math>c = u\ v\ w</math> , is marked by the shaded region in Figure 4. |
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| <pre> | | <pre> |
− | Another way of looking at this situation is by letting the (first order)
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− | differential features du, dv, dw be viewed as the features of another
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− | universe of discourse, called the "tangent universe to X with respect
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− | to the interpretation c" and represented as dX.c. In this setting,
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− | Dq.c, the "difference proposition of q at the interpretation c",
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− | where c = uvw, is marked by the shaded region in Figure 4.
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− |
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| o-----------------------------------------------------------o | | o-----------------------------------------------------------o |
| | dX.c | | | | dX.c | |