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ANNO·​TRICESIMO·​DIE·​DVCENTESIMO·​OCTOGESIMO·​PRIMO·​VITÆ·​POVYA
╭    ╭    ╭  2 ╮ ╮    ╮
In[1]: D│ sin│ cos│ x  │ │, x │
╰    ╰    ╰    ╯ ╯    ╯
       ╭    ╭  2 ╮ ╮       ╭  2 ╮

Out[1]: cos│ cos│ x  │ │ × -sin│ x  │ × 2 × x
╰    ╰    ╯ ╯       ╰    ╯
     ╭   3              ╮
     │  x  × sin[x]     │

In[2]: D│ ─────────────, x │
│         2        │
╰    1 + x         ╯
     ╭      2             3          ╮   ╭      2 ╮    3
     │ 3 × x  × sin[x] + x  × cos[x] │ × │ 1 + x  │ - x  × sin[x] × 2 × x
     ╰                               ╯   ╰        ╯

Out[2]: ──────────────────────────────────────────────────────────────────────
2
╭      2 ╮
│ 1 + x  │
╰        ╯
                   _____________
             ╭    ╱           2      ╮
             │  ╲╱  1 + sin[t]       │

In[3]: G[T_] = D│ ──────────────────, t │
│     1 + cos[t]        │
╰                       ╯
                                               _____________
      2 × sin[t] × cos[t] × (1 + cos[t])      ╱           2
     ──────────────────────────────────── - ╲╱  1 + sin[t]   × -sin[t]
                    _____________
                   ╱           2
             2 × ╲╱  1 + sin[t]

Out[3]: ───────────────────────────────────────────────────────────────────
2
(1 + cos[t])
In[4]:

World is changing so strangely. Yesterday I began changing the entirety of Nota Language into a symbolic system, and not just any symbolic system, a Wolfram Language style system where you can define patterns like f[x_] = x / 2. It won’t evaluate things it cannot reduce, so for example y = z + 4/2 returuns z + 2. And taking this to extremes, it can do Hold, ReleaseHold, Evaluate, and compute Integrates and Derivatives now…

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