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An axiom is a basic mathematical truth used in proofs, outlined initially by Euclid. Axioms are self-evident and do not need to be proven, they can be combined and used logica…lly to prove more complex mathematical concepts, especially in geometry. Example: "The shortest distance between two points is a straight line." (MORE)

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In Isuzu Axiom

I actually called the US Manufacture to asked that exact question. The Answer I got was that there was a recall in 2003 for some kind of padding to make it safer for your head…, in the event of an accident. This was for the 2002 model, other wise no recalls. (MORE)

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In Geometry

Commutative Property: The order of the objects from left to right doesn't matter. For example : 5+3+2 = 3+2+5 = 2+3+5, etc... Because addition is commutative. Associative Pro…perty: Where we put parentheses doesn't matter. For example: x(yz) = (xy)z if x, y, and z are numbers. (MORE)

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In Proofs

An axiom is a statement that is accepted without proof. Proofs are based on statements that are already established, so therefore without axioms we would have no starting poin…t. (MORE)

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In Science

Euclid posited five axioms, statements whose truth supposedly does not require a proof, as the foundation of his work, the Elements. These still hold for plane geometry, but d…o not hold in the higher non-euclidean systems. The five axioms Euclid proposed are; Any two points can be connected by one, and only one, straight line. Any line segment can be extended infinitely For any point, and a line emerging from it, a circle can be drawn where the point is the centre and the line is the radius. All right angles are equal Given a line, and a point not on the line, there is only line that goes through the point that does not meet the other line. (basically, there is only one parallel to any given line) This last point is controversial as it has been argued effectively that this is not in fact self evident. In fact, ignoring the fifth axiom was the starting point for many Non-Euclidean geometries. For this reason, it is probably this which is best known as Euclid's Axiom. (MORE)

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Field Axioms are assumed truths regarding a collection of items in a field. Let a, b, c be elements of a field F. Then: Commutativity: a+b=b+a and a*b=b*a Associativity: (a+b)…+c=a+(b+c) and (a*b)*c = a*(b*c) Distributivity: a*(b+c)=a*b+b*c Existence of Neutral Elements: There exists a zero element 0 and identify element i, such that, a+0=a a*i=a Existence of Inverses: There is an element -a such that, a+(-a)=0 for each a unequal to the zero element, there exists an a' such that a*a'=1 (MORE)

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The Euclidean Parallel Axiom is as stated below: If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two righ…t angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. My source is linked below. (MORE)

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In Algebra

Reflexive: For all real numbers x, x=x. Symmetric: For all real numbers x and y, if x=y, then y=x. Transitive: For all real numbers x, y, and z, if x=y and y=z…, then x=z. (MORE)

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In Science

An axiom is a self-evident truth that is not proven, only accepted, such as that for any two real numbers a and b, either a > b, a = b, or a < b.

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In Calculus

In science and mathematics one objective is to be as parsimonious as possible. This means that we try to develop theories using as few basic ideas as possible. Although …subtraction is a convenient part of language we don't need it in mathematics because it can be thought of as negative subtraction. This is an example of parsimony. (MORE)