Maintenance script: Initial automated import

2016-02-24T18:04:13Z

Initial automated import

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{{Template:TI-BASIC:Command
|picture=E.GIF
|summary=The [[TI-BASIC:Size_75%}}E[[/size|Size_75%}}E[[/size]] symbol is used for entering numbers in scientific notation.
|syntax=''mantissa'' E ''exponent''
|location=Press [2nd][EE] to paste the E command.
|compatibility=TI-83/84/+/SE
|size=1 byte
]]

The E symbol is used for entering numbers in scientific notation: it's short for *10^. This means that in many cases, its function is identical to that of the [[TI-BASIC:Ten_Exponent|10^(]] command (aside from the parenthesis). However, the exponent of E is limited to constant integer values ‾99 to 99.

The E symbol is used in display by the calculator for large numbers, or when in [[TI-BASIC:Sci|Sci]] (scientific) or [[TI-BASIC:Eng|Eng]] (engineering) mode.

Unlike the exponent of E, the mantissa (a special term for the A in A*10^B, in scientific notation) isn't limited in variable type: it can be a constant, a real or complex variable or expression, a list, a matrix, or even omitted entirely (and then it will be assumed to equal 1). The reason for this versatility is simple: internally, only the exponent is taken to be an actual argument for this command. The rest of the calculation is done through implied multiplication.

{{Template:TI-BASIC:Prgm-code
|code=
5[[TI-BASIC:Size_75%}}E[[/size|Size_75%}}E[[/size]]3
..................5000
E‾5
...................00001
]]

= Advanced Uses =

E99 and -E99 are often used for negative and positive infinity because the TI-83 series of calculators doesn't have an infinity symbol. Commands that often need to use infinity include [[TI-BASIC:Solve|Solve(]], [[TI-BASIC:Fnint|FnInt(]], [[TI-BASIC:Normalcdf|Normalcdf(]] (and the other distributions), and many others. The error introduced in this way is usually irrelevant, because it's less than the minimum calculator precision, anyway: E99 is mindbogglingly huge.

= Optimization =

Don't add the mantissa when it's 1:

{{Template:TI-BASIC:Prgm-code
|code=
1[[TI-BASIC:Size_75%}}E[[/size|Size_75%}}E[[/size]]5
should be
E5
]]

In addition, E2 or E3 can be used as shorthand ways of writing 100 and 1000 respectively. This could be continued, in theory, for higher powers of 10, but those aren't necessary as often.

= Command Timings =

E is much faster than using the [[TI-BASIC:Ten_Exponent|10^(]] command or typing out 10^. The drawback, of course, is that it's limited to constant values.

= Related Commands =

* [[TI-BASIC:Power|^]]
* [[TI-BASIC:Ten_Exponent|10^(]]
* [[TI-BASIC:E_Exponent|e^(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:E Ten - Revision history

Maintenance script: Initial automated import