Word Math & Unit Conversion abilities in the EllaZ System
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You know the difference between twenty-four, twenty fours, and twenty fourths. You understand "divide six by seven", "six divided by seven", and "six over seven." Ella knows these differences also, and can do remarkable word math. Just give her a few tests.
Here see how Ella's restatement of the problem clarifies the basis and helps prevent confusion. Ever forget what you had previously punched into a calculator?
You: What is half a dozen plus seven
Ella allows mixed symbolic and natural language calculations:
You: Calculate 5 x 10 to the third
power over 6.8
Ella rounds numbers to a reasonable number of digits:
You: Tell me how much is the square
root of fifty-five thousand
Next Ella finds an extra "and" which can be the same as "plus," then removes it and tells you what she did. Also note that extra words like "another" and "then" don't cause any trouble:
You: What is one plus another two and
then adding three?
Math functions then are used with a wide variety of Unit Conversion Factors. Note that Ella knows when to use plural or singular units, and she uses exponential notation for the really big numbers:
You: How many nanoseconds are in three
You: Please convert 70,000 microns
If you try to divide by zero, convert a temperature below absolute zero, convert meters into minutes, and so on, Ella explains what went wrong:
You: What is the square root of minus
Then there is trigonometry, where Ella lets you know her assumption as to units of angle:
You: What is the tangent of minus
Games and other functions make use of word math also. "Make it half a grand" or "double it and add thirty" are good answers when Ella asks "same bet?" while playing blackjack.
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