That is ten to the power of (10 to the power of 100),īut imagine an even bigger number like (which is a Googolplexian). (Googol number of Zeros)Īnd there are even larger numbers that need to use "Power Towers" to write them down.įor example, a Googolplex can be written as this power tower: Even a short line segment has infinite points. equals 1).Īn infinite series of "A"s followed by a "B" will NEVER have a "B". You cannot say "but what happens if it ends in an 8?", because it simply does not end. Tech Notes Entering Formulas Names of Symbols and Mathematical Objects Letters and Letter like Forms Related Guides Listing of Named Characters History Introduced in 1996 (3. a decimal number with an infinite series of 9s), there is no end to the number of 9s. is interpreted by default as the symbol Infinity. So, when we see a number like "0.999." (i.e. If you get no response (e.g., Mathematica seems to be in an infinite loop) or. There's no reason why the 3s should ever stop: they repeat infinitely. Mathematica execute the mathematical command you entered) by hitting Shift. OK, 1/ 3 is a finite number (it is not infinite).īut written as a decimal number the digit 3 repeats forever (we say "0.3 repeating"): The sequence of natural numbers never ends, and is infinite. So a Line is actually simpler then a Ray or Line Segment. (The Mathe-matica function NDSolve, on the other hand, is a general numerical differential equation solver. Where these symbols are, in order down, the integral sign, the infinity sign. The Mathematica function DSolve finds symbolic solutions to differential equations. When there is one end it is called a Ray, and when there are two ends it is called a Line Segment, but they need extra information to define where the ends are. Mathematica has a full range of mathematical symbols and characters. Example: in Geometry a Line has infinite length.Ī Line goes in both directions without end.
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