### Some articles on *real numbers, numbers, real number, number*:

Albert Algebra

... the study of non-associative algebras, usually working over the

... the study of non-associative algebras, usually working over the

**real numbers**... Over the**real numbers**, there are two such Jordan algebras up to isomorphism ... example, if we complexify the two Albert algebras over the**real numbers**, we obtain isomorphic Albert algebras over the complex**numbers**...Complex Numbers Exponential - Powers of Complex Numbers - Failure of Power and Logarithm Identities

... Some identities for powers and logarithms for positive

... Some identities for powers and logarithms for positive

**real numbers**will fail for complex**numbers**, no matter how complex powers and complex logarithms are defined as single-valued ... For example The identity log(bx) = x · log b holds whenever b is a positive**real number**and x is a**real number**... identities (bc)x = bxcx and (b/c)x = bx/cx are valid when b and c are positive**real numbers**and x is a**real number**...Times - Multiplication of Different Kinds of Numbers

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**Numbers**can count (3 apples), order (the 3rd apple), or measure (3.5 feet high) as the history of mathematics has progressed from counting on our fingers to modelling quantum mechanics ... Integers is the sum of M copies of N when N and M are positive whole**numbers**... This gives the**number**of things in an array N wide and M high ...Real Number - Generalizations and Extensions

... The

... The

**real numbers**can be generalized and extended in several different directions The complex**numbers**contain solutions to all polynomial equations and hence are an algebraically closed field unlike ... However, the complex**numbers**are not an ordered field ... The affinely extended**real number**system adds two elements +∞ and −∞ ...Complete Quotients and Equivalent

... We can define an equivalence relation on the set of

**Real Numbers**- An Equivalence Relation Defined By LFTs... We can define an equivalence relation on the set of

**real numbers**by means of this group of linear fractional transformations ... We will say that two**real numbers**x and y are equivalent (written x ~ y) if for some integers a, b, c, and d such that ad − bc = ±1 ... and it can be used to separate the**real numbers**into equivalence classes ...### Famous quotes containing the words numbers and/or real:

“All experience teaches that, whenever there is a great national establishment, employing large *numbers* of officials, the public must be reconciled to support many incompetent men; for such is the favoritism and nepotism always prevailing in the purlieus of these establishments, that some incompetent persons are always admitted, to the exclusion of many of the worthy.”

—Herman Melville (1819–1891)

“You seem to have no *real* purpose in life and won’t realize at the age of twenty-two that for a man life means work, and hard work if you mean to succeed.”

—Jennie Jerome Churchill (1854–1921)