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Whole Numbers

We have seen that in the set of natural number

So we extend

where

It is easy to say that properties, which are satisfied by

Also

**N**, there exists an element**1 N**such that**1.m = m.1 = m, ∀ m N**and that there does not exist any number (say)**0 N**such that

m + 0 = 0 + m = m, (1)m + 0 = 0 + m = m, (1)

So we extend

**N**to a system**W**which we define as**W = {0, 1, 2, 3, …….}.**where

**0 W**satisfies**0 + m = m + 0 = m ∀ m W. (2)**It is easy to say that properties, which are satisfied by

**N**, are also satisfied by**W**along with the property**(1)**, except that in the multiplicative cancellation law, where**p > 0**.Also

**0 W**has the property that**0.m = m.0 = 0 ∀ m W.****Services: -**Whole Numbers Homework | Whole Numbers Homework Help | Whole Numbers Homework Help Services | Live Whole Numbers Homework Help | Whole Numbers Homework Tutors | Online Whole Numbers Homework Help | Whole Numbers Tutors | Online Whole Numbers Tutors | Whole Numbers Homework Services | Whole NumbersSubmit Your Query ???

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Real Number Absolute Value
Addition Of Matrices
Square Matrix Adjoint
Algebraic Structures
Alternating Series
Linear Equations Determinants
Archimedean Real Numbers
Binary Operation
Binary Relation In A Set
Bounded, Unbounded Sets
Cauchy Root Test
Caylay Hamiltion Theorem
Circular Permutation
Common Roots
Complex Numbers
Complex Number Conjugate
Conjugate Of A Matrix
Constant Sequences
Convergence Of A Sequence
Cosets
Cubic, Biquadratic Equations
De Moivre Theorem
Real Number Denseness
Order 3 Determinants
Differences Of Matrices
Direct Sum Of Vector Subspaces
Eigen Vector
Elementary Matrices
Matrix Elem. Transformations
Equal Matrices
Equal Roots
Two Permutations Equity
Equivalent Matrices
Trigonometry Function Expansion
Field
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Algebra Fundamental Theorem
Gaussian Integer
Geometric Series
Group
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Quantity Increasing Roots
Infinite Series Convergent
Integers
Inverse Of Square Matrix
Inverses Of Elementary Matrices
Iota, Imaginary Numbers
Left-Right Identity
Sequence Limit Points
Linear Combination Vectors Span
Linear Dependence, Independence
Linear Homogeneous Equations
Two Subspaces Linear Sum
Matric Polynomial
Matrix
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Matrix Multiplication
Matrix Scalar Multiplication
Method Of Difference
Minors And Co-factors
Multiplication Modulo P
Normal Sub-Group
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Orbit Of Permutation
Peano Axioms
Permutation Function
Pigeon Hole Principle
Matrices Integral Powers
Mathematical Induction Principal
Two Determinants Product
Two Permutations Product
Properties Of Modulus
Rank Of A Matrix
Rational Numbers
Rational, Integral Polynomial
Reciprocal Roots
Relation Of Sets
Rings Of A Set
Row By Column Matrix
Sequence
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Series Of Positive Terms
Series Partial Sum Sequence
Subrings
Sum Of A Series
Cosine Series Sum
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Symmetric/Skew Symm. Matrices
Roots Symmetric Functions
Symmetric Set Degree N
Synthetic Division
Transformation In General
Transformations Of Equations
Transpose Of A Matrix
Matrix Transposed Conjugate
Transposition
Complex Numbers Representation
Vector Space
Vector Sub-spaces
Whole Numbers

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