Basic concepts of Mathematics

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conceptional factor

Basic Mathematical Alphabets.

Mathematical symbols dictionary


0.(12345) – the repeating decimal with the period 12345,

N – the set of natural numbers,

Z – the set of whole numbers (integers),

R – the set of real numbers, – an element x belongs to a set X,
X \ Y – a symmetric difference of sets X and Y,

{ un } – a sequence with a general term un ,

[ a, b ] – a numerical segment

( a, b ) – a numerical interval,

Laws of addition and multiplication

Commutative laws of addition and multiplication.
Associative laws of addition and multiplication.
Distributive law of multiplication over addition.
Commutative law of addition: m + n = n + m . A sum isn’t changed at rearrangement of its addends.

Commutative law of multiplication: m · n = n · m . A product isn’t changed at rearrangement of its factors.

Associative law of addition: ( m + n ) + k = m + ( n + k ) = m + n + k . A sum doesn’t depend on grouping of its addends.

Associative law of multiplication: ( m · n ) · k = m · ( n · k ) = m · n · k . A product doesn’t depend on grouping of its factors.

Distributive law of multiplication over addition: ( m + n ) · k = m · k + n · k . This law expands the rules of operations with brackets.