2006-06-07 00:35:04 · 9 answers · asked by ? 5 in Science & Mathematics ➔ Mathematics
The concept of zero exists in mathematical structures called rings (things like the integers are rings). It is the unique element, (call it x) such that for any other y in the ring y + x = y = x + y.
This is how zero is defined in a mathematical context.
Does zero exist not mathematically? If you did not have any apples, and I asked you how many apples you had, the answer would be zero. Why zero and not something else?
Well, suppose you do not have any apples, and I have four apples. If you give me all of your apples, I will still have four apples, so if A is the number of apples you had, and B is the number I had, then A + B = B, which tells us that A is zero based on the above definition.
2006-06-07 01:17:45 · answer #1 · answered by fatal_flaw_death 3 · 1⤊ 1⤋
Mathematical Definition Of Zero
2016-12-12 11:02:49 · answer #2 · answered by jacobus 4 · 0⤊ 0⤋
ze·ro (zîr'ō, zē'rō) pronunciation
n., pl. -ros or -roes.
1. The numerical symbol 0; a cipher.
2. Mathematics.
1. The identity element for addition.
2. A cardinal number indicating the absence of any or all units under consideration.
3. An ordinal number indicating an initial point or origin.
4. An argument at which the value of a function vanishes.
3. The temperature indicated by the numeral 0 on a thermometer.
4. A sight setting that enables a firearm to shoot on target.
5. Informal. One having no influence or importance; a nonentity: a manager who was a total zero.
6. The lowest point: His prospects were approaching zero.
7. A zero-coupon bond.
8. Informal. Nothing; nil: Today I accomplished zero.
adj.
1. Of, relating to, or being zero.
2.
1. Having no measurable or otherwise determinable value.
2. Informal. Absent, inoperative, or irrelevant in specified circumstances: “The town has . . . practically no opportunities for amusement, zero culture” (Robert M. Adams).
3. Meteorology.
1. Designating a ceiling not more than 16 meters (52 feet) high.
2. Limited in horizontal visibility to no more than 55 meters (180 feet).
4. Linguistics. Of or relating to a morpheme that is expected by an established, regular paradigm but has no spoken or written form. Moose has a zero plural; that is, its plural is moose.
2006-06-11 02:14:37 · answer #3 · answered by Anonymous · 0⤊ 0⤋
It is a mathematical concept, so of course it exists, just as all the numbers exist. They are not physical, but they still exist.
Look at the Peano axioms, which are the building blocks for the natural numbers 1,2, 3... (I don't know where, probably in any good set theory textbook). If you can find information on how the integers are defined in terms of these natural numbers, you'll get information on how 0 is defined.
However, zero isn't always 0, such as in matrix rings.
2006-06-09 05:46:37 · answer #4 · answered by Anonymous · 0⤊ 0⤋
It is an effective mathematical concept.Zero means nothing theoretically whereas practically it means too small to be of any SIGNIFICANCE.So one will not be far from the truth if one says the decrease in the level of an ocean on removal of a couple of buckets of water will be zero.
2006-06-07 00:41:07 · answer #5 · answered by raj 7 · 0⤊ 0⤋
all the zeros are sub sets of a universal zero( which has got a equation) like small identical drops of water from a big ocean
2006-06-07 00:40:26 · answer #6 · answered by rajesh bhowmick 2 · 0⤊ 0⤋
It's just a concept. It is the absence of a particular thing. It literally and figuratively means nothing!
2006-06-07 00:41:02 · answer #7 · answered by F R 4 · 0⤊ 0⤋
Zero,is a very complicated philosphical term.it is a state in which mind is free of thoughts.
2006-06-07 00:40:19 · answer #8 · answered by abhi 1 · 0⤊ 0⤋
zero is an indicator of nothingness and also the integer previous to 1.
2006-06-07 00:39:36 · answer #9 · answered by superspongeseven 4 · 0⤊ 0⤋