Difference between revisions of "Units"

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Line 82: Line 82:
  
  
 +
(1..100)<>m
 
(1..100)<>m
 
(1..100)<>m
  
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
−
! Numeric,Units !! UNITSOF  
+
! Numeric !! Units !! UNITSOF  
 
|-
 
|-
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|  
+
| 1 || m || 1m
−
{| class="wikitable"|-
 
−
| 1
 
 
|-
 
|-
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| m  
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| 2 || m || 2m
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|}
 
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|| 1m
 
 
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| 3 || m || 3m
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{| class="wikitable"|-
 
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| 2
 
 
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| m  
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| 4 || m || 4m
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|| 2m
 
 
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| 5 || m || 5m
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{| class="wikitable"|-
 
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| 3
 
 
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| m  
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| 6 || m || 6m
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|| 3m
 
 
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| 7 || m || 7m
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{| class="wikitable"|-
 
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| m  
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| 8 || m || 8m
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|| 4m
 
 
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| 9 || m || 9m
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{| class="wikitable"|-
 
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| m  
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| 10 || m || 10m
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|| 5m
 
 
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| 11 || m || 11m
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{| class="wikitable"|-
 
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| 12 || m || 12m
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| 13 || m || 13m
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{| class="wikitable"|-
 
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| 7
 
 
|-
 
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| m  
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| 14 || m || 14m
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|}
 
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|| 7m
 
 
|-
 
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| 15 || m || 15m
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{| class="wikitable"|-
 
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| 8
 
 
|-
 
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| m  
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| 16 || m || 16m
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|}
 
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|| 8m
 
 
|-
 
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| 17 || m || 17m
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{| class="wikitable"|-
 
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| 9
 
 
|-
 
|-
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| m  
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| 18 || m || 18m
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|}
 
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|| 9m
 
 
|-
 
|-
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|  
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| 19 || m || 19m
−
{| class="wikitable"|-
 
−
| 10
 
 
|-
 
|-
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| m  
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| 20 || m || 20m
−
|}
 
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|| 10m
 
 
|-
 
|-
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|  
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| 21 || m || 21m
−
{| class="wikitable"|-
 
−
| 11
 
 
|-
 
|-
−
| m  
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| 22 || m || 22m
−
|}
 
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|| 11m
 
 
|-
 
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| 23 || m || 23m
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{| class="wikitable"|-
 
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| 12
 
 
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| m  
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| 24 || m || 24m
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|}
 
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|| 12m
 
 
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| 25 || m || 25m
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{| class="wikitable"|-
 
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| 13
 
 
|-
 
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| m  
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| 26 || m || 26m
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|}
 
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|| 13m
 
 
|-
 
|-
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| 27 || m || 27m
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{| class="wikitable"|-
 
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| 14
 
 
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| m  
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| 28 || m || 28m
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|| 14m
 
 
|-
 
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| 29 || m || 29m
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{| class="wikitable"|-
 
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| 15
 
 
|-
 
|-
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| m  
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| 30 || m || 30m
−
|}
 
−
|| 15m
 
 
|-
 
|-
−
|  
+
| 31 || m || 31m
−
{| class="wikitable"|-
 
−
| 16
 
 
|-
 
|-
−
| m  
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| 32 || m || 32m
−
|}
 
−
|| 16m
 
 
|-
 
|-
−
|  
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| 33 || m || 33m
−
{| class="wikitable"|-
 
−
| 17
 
 
|-
 
|-
−
| m  
+
| 34 || m || 34m
−
|}
 
−
|| 17m
 
 
|-
 
|-
−
|  
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| 35 || m || 35m
−
{| class="wikitable"|-
 
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| 18
 
 
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|-
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| m  
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| 36 || m || 36m
−
|}
 
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|| 18m
 
 
|-
 
|-
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|  
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| 37 || m || 37m
−
{| class="wikitable"|-
 
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| 19
 
 
|-
 
|-
−
| m  
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| 38 || m || 38m
−
|}
 
−
|| 19m
 
 
|-
 
|-
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|  
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| 39 || m || 39m
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{| class="wikitable"|-
 
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| 20
 
 
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| m  
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| 40 || m || 40m
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|}
 
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|| 20m
 
 
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|  
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| 41 || m || 41m
−
{| class="wikitable"|-
 
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| 21
 
 
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| m  
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| 42 || m || 42m
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|}
 
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|| 21m
 
 
|-
 
|-
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|  
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| 43 || m || 43m
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{| class="wikitable"|-
 
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| 22
 
 
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| m  
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| 44 || m || 44m
−
|}
 
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|| 22m
 
 
|-
 
|-
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|  
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| 45 || m || 45m
−
{| class="wikitable"|-
 
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| 23
 
 
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|-
−
| m  
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| 46 || m || 46m
−
|}
 
−
|| 23m
 
 
|-
 
|-
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|  
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| 47 || m || 47m
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{| class="wikitable"|-
 
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| 24
 
 
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| m  
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| 48 || m || 48m
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|}
 
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|| 24m
 
 
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|  
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| 49 || m || 49m
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{| class="wikitable"|-
 
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| 25
 
 
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|-
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| m  
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| 50 || m || 50m
−
|}
 
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|| 25m
 
 
|-
 
|-
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|  
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| 51 || m || 51m
−
{| class="wikitable"|-
 
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| 26
 
 
|-
 
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| m  
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| 52 || m || 52m
−
|}
 
−
|| 26m
 
 
|-
 
|-
−
|  
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| 53 || m || 53m
−
{| class="wikitable"|-
 
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| 27
 
 
|-
 
|-
−
| m  
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| 54 || m || 54m
−
|}
 
−
|| 27m
 
 
|-
 
|-
−
|  
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| 55 || m || 55m
−
{| class="wikitable"|-
 
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| 28
 
 
|-
 
|-
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| m  
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| 56 || m || 56m
−
|}
 
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|| 28m
 
 
|-
 
|-
−
|  
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| 57 || m || 57m
−
{| class="wikitable"|-
 
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| 29
 
 
|-
 
|-
−
| m  
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| 58 || m || 58m
−
|}
 
−
|| 29m
 
 
|-
 
|-
−
|  
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| 59 || m || 59m
−
{| class="wikitable"|-
 
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| 30
 
 
|-
 
|-
−
| m  
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| 60 || m || 60m
−
|}
 
−
|| 30m
 
 
|-
 
|-
−
|  
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| 61 || m || 61m
−
{| class="wikitable"|-
 
−
| 31
 
 
|-
 
|-
−
| m  
+
| 62 || m || 62m
−
|}
 
−
|| 31m
 
 
|-
 
|-
−
|  
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| 63 || m || 63m
−
{| class="wikitable"|-
 
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| 32
 
 
|-
 
|-
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| m  
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| 64 || m || 64m
−
|}
 
−
|| 32m
 
 
|-
 
|-
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|  
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| 65 || m || 65m
−
{| class="wikitable"|-
 
−
| 33
 
 
|-
 
|-
−
| m  
+
| 66 || m || 66m
−
|}
 
−
|| 33m
 
 
|-
 
|-
−
|  
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| 67 || m || 67m
−
{| class="wikitable"|-
 
−
| 34
 
 
|-
 
|-
−
| m  
+
| 68 || m || 68m
−
|}
 
−
|| 34m
 
 
|-
 
|-
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|  
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| 69 || m || 69m
−
{| class="wikitable"|-
 
−
| 35
 
 
|-
 
|-
−
| m  
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| 70 || m || 70m
−
|}
 
−
|| 35m
 
 
|-
 
|-
−
|  
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| 71 || m || 71m
−
{| class="wikitable"|-
 
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| 36
 
 
|-
 
|-
−
| m  
+
| 72 || m || 72m
−
|}
 
−
|| 36m
 
 
|-
 
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−
|  
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| 73 || m || 73m
−
{| class="wikitable"|-
 
−
| 37
 
 
|-
 
|-
−
| m  
+
| 74 || m || 74m
−
|}
 
−
|| 37m
 
 
|-
 
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|  
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| 75 || m || 75m
−
{| class="wikitable"|-
 
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| 38
 
 
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| m  
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| 76 || m || 76m
−
|}
 
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|| 38m
 
 
|-
 
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|  
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| 77 || m || 77m
−
{| class="wikitable"|-
 
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| 39
 
 
|-
 
|-
−
| m  
+
| 78 || m || 78m
−
|}
 
−
|| 39m
 
 
|-
 
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−
|  
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| 79 || m || 79m
−
{| class="wikitable"|-
 
−
| 40
 
 
|-
 
|-
−
| m  
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| 80 || m || 80m
−
|}
 
−
|| 40m
 
 
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|-
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|  
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| 81 || m || 81m
−
{| class="wikitable"|-
 
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| 41
 
 
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|-
−
| m  
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| 82 || m || 82m
−
|}
 
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|| 41m
 
 
|-
 
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|  
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| 83 || m || 83m
−
{| class="wikitable"|-
 
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| 42
 
 
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| m  
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| 84 || m || 84m
−
|}
 
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|| 42m
 
 
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|  
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| 85 || m || 85m
−
{| class="wikitable"|-
 
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| 43
 
 
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| m  
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| 86 || m || 86m
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|}
 
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|| 43m
 
 
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|  
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| 87 || m || 87m
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{| class="wikitable"|-
 
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| 44
 
 
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| 88 || m || 88m
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|}
 
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|| 44m
 
 
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|  
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| 89 || m || 89m
−
{| class="wikitable"|-
 
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| 45
 
 
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| m  
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| 90 || m || 90m
−
|}
 
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|| 45m
 
 
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|  
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| 91 || m || 91m
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{| class="wikitable"|-
 
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| 46
 
 
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| m  
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| 92 || m || 92m
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|}
 
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|| 46m
 
 
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|  
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| 93 || m || 93m
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{| class="wikitable"|-
 
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| 47
 
 
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| 94 || m || 94m
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|| 47m
 
 
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| 95 || m || 95m
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{| class="wikitable"|-
 
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| 48
 
 
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| m  
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| 96 || m || 96m
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|| 48m
 
 
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|  
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| 97 || m || 97m
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{| class="wikitable"|-
 
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| 49
 
 
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| 98 || m || 98m
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{| class="wikitable"|-
 
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{| class="wikitable"|-
 
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| m
 
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|| 69m
 
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|
 
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{| class="wikitable"|-
 
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| 70
 
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| m
 
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|}
 
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|| 70m
 
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|
 
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{| class="wikitable"|-
 
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| 71
 
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|-
 
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| m
 
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|}
 
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|| 71m
 
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|
 
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{| class="wikitable"|-
 
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| 72
 
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| m
 
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|}
 
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|| 72m
 
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|
 
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{| class="wikitable"|-
 
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| 73
 
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| m
 
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|}
 
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|| 73m
 
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|
 
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{| class="wikitable"|-
 
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| 74
 
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| m
 
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|| 74m
 
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|
 
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{| class="wikitable"|-
 
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| 75
 
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| m
 
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|}
 
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|| 75m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 76
 
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|-
 
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| m
 
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|}
 
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|| 76m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 77
 
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|-
 
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| m
 
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|}
 
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|| 77m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 78
 
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|-
 
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| m
 
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|}
 
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|| 78m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 79
 
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|-
 
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| m
 
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|}
 
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|| 79m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 80
 
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|-
 
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| m
 
−
|}
 
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|| 80m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 81
 
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|-
 
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| m
 
−
|}
 
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|| 81m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 82
 
−
|-
 
−
| m
 
−
|}
 
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|| 82m
 
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|-
 
−
|
 
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{| class="wikitable"|-
 
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| 83
 
−
|-
 
−
| m
 
−
|}
 
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|| 83m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 84
 
−
|-
 
−
| m
 
−
|}
 
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|| 84m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 85
 
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|-
 
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| m
 
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|}
 
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|| 85m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 86
 
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|-
 
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| m
 
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|}
 
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|| 86m
 
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|-
 
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|
 
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{| class="wikitable"|-
 
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| 87
 
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|-
 
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| m
 
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|}
 
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|| 87m
 
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|-
 
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|
 
−
{| class="wikitable"|-
 
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| 88
 
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|-
 
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| m
 
−
|}
 
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|| 88m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 89
 
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|-
 
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| m
 
−
|}
 
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|| 89m
 
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|-
 
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|
 
−
{| class="wikitable"|-
 
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| 90
 
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| m
 
−
|}
 
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|| 90m
 
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|-
 
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|
 
−
{| class="wikitable"|-
 
−
| 91
 
−
|-
 
−
| m
 
−
|}
 
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|| 91m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 92
 
−
|-
 
−
| m
 
−
|}
 
−
|| 92m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 93
 
−
|-
 
−
| m
 
−
|}
 
−
|| 93m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 94
 
−
|-
 
−
| m
 
−
|}
 
−
|| 94m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 95
 
−
|-
 
−
| m
 
−
|}
 
−
|| 95m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 96
 
−
|-
 
−
| m
 
−
|}
 
−
|| 96m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 97
 
−
|-
 
−
| m
 
−
|}
 
−
|| 97m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 98
 
−
|-
 
−
| m
 
−
|}
 
−
|| 98m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 99
 
−
|-
 
−
| m
 
−
|}
 
−
|| 99m
 
−
|-
 
−
|
 
−
{| class="wikitable"|-
 
−
| 100  
 
−
|-
 
−
| m  
 
−
|}
 
−
|| 100m  
 
 
|}
 
|}
  

Revision as of 12:45, 13 June 2016

How to specify units

Units are a unique, inherent and simple feature of the z^3 language.

Using units is simple and easy. For example:

a=1m;

indicates that a is now a variable containing the value of 1 meter. For more complex units we can enclose them in brackets as in 3(m/sec).

If a variable needs to be specified in specific units, simply use the <> operator. Such as: a<>(m/sec);

In z^3 language, <> is the unit conversion operator. Also, any arithmetic operator such as +, -, *, /, ^, % etc. should be enclosed within < and > to allow unit conversions to propagate through these operations. These conversion operations can be done on arrays as parameters also. Hence to add a meter to 2 centimeters, do the following: a=1m<+>2cm; and z^3 will give the answer: 102 cm.

Note, that this result now carries the units with it for further operations. For example: a=(1m<+>2cm)<^>3; gives the answer as 1061208 cm3.

To convert the current value of a variable to a different unit, simply use the <> operator: a<>cm;

Notice that if a already had a unit, it will be appropriately converted using the units. If it did not have units inherently, it will simply be given the units. $> a=1 1 $> a<>cm; 1 cm.

$> a=1m; 1 m. $> a<>cm; 100 cm.

In the second case, 1m is converted to 100cm.

Unit Prefixes

Similarly, scales such as milli, mega, etc. are supported using conventional SI units. a=1m; 1 m. a<>ym; 1.0000000000000001e+24 ym.

Here a now has the unit yoctometer.

Using uppercase Y, we get the answer in Yottameter. a=1m; 1 m. a<>Ym; 1.0000000000000001e-24 Ym.

These conversions of scale follow the SI unit prefix standards.

Metricscales.png

Conversion among Unit Systems

z^3 supports conversion among unit systems, such as SI Units and FPS systems.

For example:

a=1mi; 1 mi.

a<>km; 1.6093439999999999 km.

Notice that the mi (miles) unit of variable a is converted to km.

Units on Array of Values

Units work on variables as simple numerical values or as arrays.

Let us consider numbers 1 to 100. a=1..100;

b=a<>(mi);

/* TO GET PRINTED RIGHT */


(1..100)<>m (1..100)<>m

Numeric Units UNITSOF
1 m 1m
2 m 2m
3 m 3m
4 m 4m
5 m 5m
6 m 6m
7 m 7m
8 m 8m
9 m 9m
10 m 10m
11 m 11m
12 m 12m
13 m 13m
14 m 14m
15 m 15m
16 m 16m
17 m 17m
18 m 18m
19 m 19m
20 m 20m
21 m 21m
22 m 22m
23 m 23m
24 m 24m
25 m 25m
26 m 26m
27 m 27m
28 m 28m
29 m 29m
30 m 30m
31 m 31m
32 m 32m
33 m 33m
34 m 34m
35 m 35m
36 m 36m
37 m 37m
38 m 38m
39 m 39m
40 m 40m
41 m 41m
42 m 42m
43 m 43m
44 m 44m
45 m 45m
46 m 46m
47 m 47m
48 m 48m
49 m 49m
50 m 50m
51 m 51m
52 m 52m
53 m 53m
54 m 54m
55 m 55m
56 m 56m
57 m 57m
58 m 58m
59 m 59m
60 m 60m
61 m 61m
62 m 62m
63 m 63m
64 m 64m
65 m 65m
66 m 66m
67 m 67m
68 m 68m
69 m 69m
70 m 70m
71 m 71m
72 m 72m
73 m 73m
74 m 74m
75 m 75m
76 m 76m
77 m 77m
78 m 78m
79 m 79m
80 m 80m
81 m 81m
82 m 82m
83 m 83m
84 m 84m
85 m 85m
86 m 86m
87 m 87m
88 m 88m
89 m 89m
90 m 90m
91 m 91m
92 m 92m
93 m 93m
94 m 94m
95 m 95m
96 m 96m
97 m 97m
98 m 98m
99 m 99m
100 m 100m


Numeric,Units UNITSOF
1,m 1m
2,m 2m
3,m 3m
4,m 4m
5,m 5m
6,m 6m
7,m 7m
8,m 8m
9,m 9m
10,m 10m


Numeric,Units UNITSOF
1,mi 1
2,mi 2
3,mi 3
4,mi 4
5,mi 5
6,mi 6
7,mi 7
8,mi 8
9,mi 9
10,mi 10

Now b has the values 1..100 in miles.

Let us convert all of these values to km. b<>km;

The answer is given as:

Numeric,Units UNITSOF
1,km 1.6093439999999999
2,km 3.2186879999999998
3,km 4.828031999999999
4,km 6.4373759999999995
5,km 8.046719999999999
6,km 9.656063999999999
7,km 11.265407999999999
8,km 12.874751999999999
9,km 14.484096
10,km 16.093439999999998



a=(1..100)<>℃ b=a<>℉

E:=(m<>kg)*(SPEEDOFLIGHT()<^>2); E(2kg)

a=1mi; b=10km; [a,b,(a<+>b)<>mi]

10mi<>km

Pi seems to be obfuscated.

SIN(90<>deg)

(rad2piby10)<>rad<>deg

((rad2piby10)<>rad<>deg)@SIN .graphin() //did not work in safari. (1..10)<>kg

b=(100$<+>3020¢); b<>$;

SETCONVERSION(1<>euro,1<>dollar,1.1)

SETCONVERSION(1$,1€,0.9); PRINTCONVERSION(); 345$<>€

1$<>1₹ // without conversion will fail.

(1..100)<>℃<>℉

SETCONVERSION(1<>€,1<>$,1.1); (1..100)<>€<>$

SETCONVERSION(1<>€,1<>$,1.10); (1..1000..10)<>€<>$

SETCONVERSION(1<>€,1<>$,1.10); (0..1000..20)<>€<>$

UNITIFY([1m,2m,3cm])

SUM(UNITIFY([1m,2m,3mm]))

(100$<+>300¢<+>30¢)<>$ PMT(4%,12,1000$,120000¢,0)

PMT(4%,12,1000$,1200.00¢,0) PMT(4%,12,1000$,120000¢,0)

1<>gal<>l 1<>l<>oz

(1..100)<>l<>ul 1Pa<>atm

E:=(m<>kg)<*>(SPEEDOFLIGHT()<^>2); b=E(2g); ConvertToUnitOfNature(b,"energy")

1m<>>1cm;

[1m,2m]<>>[1cm,200cm];

[1m,2m]<>=>[1cm,200cm];

[1m,2m]<<>[1cm,200cm];

[1m,2m]<<>[1cm,200cm];

[1m,2m]<==>[1cm,200cm];

[1m,2m]<!=>[1cm,200cm];

[1m,2m]<<=>[1cm,199.99cm];

[1m,2m]<<=>[1cm,200.01cm];

((1..10)<>m)<>>3m;

((0.1..10)<>m)<>>30cm


CONSTANT("G") CONSTANT("G")<*>1kg<*>110kg</>(6000m<^>2) // did not work.

(CONSTANT("G")<*>1kg<*>110kg)</>((6000m)<^>2) // how to bracket the units to be inside and ignore < etc? // ## can be used to name variables with spaces in them. // the actual variable is named by removing the spaces. // otherwise it goes into code as it is. ##weight of zone=3m; ++(##weight of zone);

##weight of zone=3m; a=3.4mm<+>(##weight of zone);

//%G is gravitational constant GF:=%G*m1*m2/r^2; GF(1,2,300)

v:=u+%g*t; // this uses %g as default g value v(1,2)

%planck %boltzmann; %planck length;

PRINTCONVERSIONS() CONSTANTS() CONVERT()

A¹=34; A=[23,4,5,5]; /* no array indexing on subscript yet. Will decide on that later. */ A¹=[23,4,5,5] A¹[2]

a=%gravit; b=30<*>a

a=%gravit; b=(1..10)<*>a

E:=m<>kg<*>%c<^>2; E(1000kg) E(1000kg<>lbm) // - will gave same result as 1000kg E(1000lbm) //lbm is used for units of lb mass.

// %G<*>1kg<*>110kg(6000m<^>2) // %G<*>1kg<*>110kg((6000m)<^>2) // -did not work. Said 7.34149141e-9Nm3UNITPOWERUNITSOF %G<*>1kg<*>110kg<*>((6000m)<^>2)

%G<*>1kg<*>110kg</>((6000m)<^>2)


// make this work. 1..100 @> x.txt; // send output to a <@ x.txt; // read input from a;

1.3J<>GeV 1.3J<>eV

1J<>l.atm; // 0.0098692latm 1J<>(l.atm-1) // this should fail. and will keep original units. maybe safer. 1m2<>in2 1m²<>in²

10m2<>are 1m2<>are

100m2<>acre

E:=m<>kg<*>%c<^>2; b=E(1000kg)<>J 

   c=b<>eV;

[b,c]

1..100.$("[SIN(x),COS(x),TAN(x)]") 1..100.$([SIN,COS,TAN]) worked. 1..100.$("[x,x^2,x^3,x^4,x^3+x^4,SIN(x)]") works 1..100.$("[SIN(x),COS(x),TAN(x)]") 1..100.$([SIN,COS,TAN]) x=SERIESOF("1/x",9,10) //this is to from in parameter sequence. x=SERIESOF("1/x",19,10) SERIESOF("1/x",10,5) x=SERIESOF "1/LOG(x,2)" 100 1 x=SERIESOF "1/log2x" 100 91 //removed: 1..10.$_([+,-]) 1..10.$_([SUM,MINUS]) //removed: 1..10.$_|+| EXPOF(5) [SIN,COS]@[1..100] 1..10.$_("+") 1..10.$_("+") 1..10@["+"] 1..10@"+"

(1..100)<>m<+>10cm

MAGICSQUARE(3).$$(SUM) MAGICSQUARE(3).$$$(SUM) MAGICSQUARE(3).$_(SUM)

a=1m<>mm<+>400km 1m<>eor // should give nothing as there is no such conversion. (((1..100)<>m)<^>2)<>are

(1..1000)<>$ (((1..100)<>m)<^>2)<>km2 // why chinese headers here?

(1..100)m<>cm

F=%G<*>100kg<*>10g</>((100km)<^>2);

1.3J<>GeV //check this

velocity=3<>(m/sec); time=1hr; velocity<*>time;

1(g.m)<>(mg.cm)

a=LAZYRANGE(1,100) a(1..100) // generate numbers in the range at that interval, without having to generate the array ahead of time. Useful in things like INTEGRALS etc. a() a=LAZYOBJECT(1,100,1000) // can even take a(0.1); a.islazyrange()


1(kg.m2s-2)<>(N.m) 1(kg.m2s-2)<>J 1(kg.m2s-2)<>(N) // also should work as we want to get rid of the /s here in this case. 1(kg.m2s-2)<>(N.m2) // should fail. 1(kg.m2s-2)<>(J/s) // should fail. 1(kg.m2s-3)<>(J/s) 1(kg.m2.s)<>(J/s) // should this fail? it works now.

12(g.m-1/s)<>(g.cm) // should fail. 12(g.m)<>(g.mm) // should not fail. 12(g.m)<>(g.cm) // should not fail.

12(g.m)<>(g.s) // should fail. original should be returned. 12(g.m)<>(g.mm) 12(g.m)<>(g.s) 12(g.m-1)<>(g.mm-1) 12(g.m-1/s)<>(g.cm-1) // converts, but this is ok, since /s on left sometimes we want to get rid off for some reason for using it on another calculation. Say N/s but you only want to use the N on it. 1(kg.m2/s2)<>e // how to make this conversion?

1(kg.m2/s2)<>J<>e

1.3(kg.m2/s2)<>Jo // would fail and original will be kept.

(((1..100)<>m)<^>2)<>are (1..100)<>are [1cm2,2m2]<>are %pi*34; %e; %avo;

q=1(mol/s); heat=%avo<*>q;

1Pa<>atm 1atm<>psi 1atm<>hPa

a=1<>(kg/m.s-2)<>Pa<>torr 1J<>BTU 1ly<>m 10ly<>m<>km

1atm<>inHg<>mmHg

1atm<+>1bar (1atm<+>1bar)<>atm 1km<>m<>lightyear

1lightyear<>km

1lightyear<>pc

1m<>ly

1km<>ly //seemed off. this is possibly correct. (1km<+>1ly)<>km

1Å<>km

1Å<>m

(1..100)<>AU<>m

1degree<>arcminute

1Tsec<>sec

1(m/s)<>(km/hr) 1(km/s)<>(km/hr)

1(cal/mn)<>(J/sec) // d

1(kg/m3)<>(slug.ft-3)

2(rad/sec)<>rpm // did not convert. not sure why.

(1..100)<>USD<>EUR

SUPPORTEDUNITS()

1nibble<>bit 102400000000bit<>MB 1kB<>MB // seems wrong. 1kB<>Mb 1(kb)<>(bit) Pi<>(rad/sec)<>rpm 1(rad/sec)<>rpm 1(rad/mn)<>rpm (1(rad/mn)<>rpm)*2*Pi // should give 1. 1(rotation/mn)<>rpm 1(cycle/mn)<>(rad/mn)

1(cycle/mn)<>rpm

60rad<>deg 60rad<>deg<>rotation

1MB<>kB 1B<>kB 1MB<>B 1kB<>B

a=1(kg/m/s-2/t3) a=1(kg/m/s-2/t3) a=1(kg/m/s-2/t3) a=1(kg/m/s-2/t3) a=1<>(kg/m.s-2) // this worked though.

1(kg/m3)<>(slug/ft^3) // will not work due to ^. 1(kg/m3)<>(slug/ft3) //works 1(kg/m3)<>(slug.ft-3) //works

1(s-1)<>Hz 1(mn-1)<>Hz

velocity=3<>(m/s); time=1hr; velocity<*>time;

(((1..100)<>m)<^>2)<>acre

((1..100)<>m)<^>2

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