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lefttopIs an element of ∈Used to show the set of numbers to which x can belong00Is an element of ∈Used to show the set of numbers to which x can belongleftbottomNatural NumbersNThe set of positive integers {1, 2, 3, …}00Natural NumbersNThe set of positive integers {1, 2, 3, …}lefttopIntegersZThe set of integers (positive and negative, including zero){0, ±1, ±2, …}00IntegersZThe set of integers (positive and negative, including zero){0, ±1, ±2, …}leftbottomRational NumbersQA number that is rational can be expressed as a fraction ab00Rational NumbersQA number that is rational can be expressed as a fraction ablefttopPositive NumberPnReal numbers greater than zeroZero is neither +ve or –ve) 00Positive NumberPnReal numbers greater than zeroZero is neither +ve or –ve) leftbottomIdentity≡Used to show two expressions which are identical, ie equal for all values of x00Identity≡Used to show two expressions which are identical, ie equal for all values of x3810038100Real NumbersRThe set of all real numbers, positive and negative, rational and irrational 00Real NumbersRThe set of all real numbers, positive and negative, rational and irrational leftbottomFunction f(x)A relation between a set of values for x and their output values00Function f(x)A relation between a set of values for x and their output valuesleftbottomSigmai=1naiThe sum of a1+a2+…+an00Sigmai=1naiThe sum of a1+a2+…+anlefttopApproximately≈Used to show two expressions or values which are approximately equal00Approximately≈Used to show two expressions or values which are approximately equal57150394034Logarithmloga xThe logarithm to the base a of x00Logarithmloga xThe logarithm to the base a of x476255218764Modulus xThe modulus of x. The absolute value. (The positive value of x, ignore any negative sign)00Modulus xThe modulus of x. The absolute value. (The positive value of x, ignore any negative sign)33020365125Composite functionfgxThe effect of applying function g following by function f00Composite functionfgxThe effect of applying function g following by function f234955189855Therefore ∴Abbreviation often used in proofs00Therefore ∴Abbreviation often used in proofs48127-8255Exponential functionexThe exponential function of x 00Exponential functionexThe exponential function of x 481275181600Natural logarithm ln xThe natural logarithm of x (logarithm to the base e of x)00Natural logarithm ln xThe natural logarithm of x (logarithm to the base e of x)left91273This implies ?Abbreviation often used in proofs00This implies ?Abbreviation often used in proofsleftbottomSigmai=1naiThe sum of a1+a2+…+an00Sigmai=1naiThe sum of a1+a2+…+anlefttopIntegralabf(x)dxThe integral of f(x) between the limits a and b. Integration is the inverse of differentiation and is the area under the curve.00Integralabf(x)dxThe integral of f(x) between the limits a and b. Integration is the inverse of differentiation and is the area under the curve.left5247005Double Differentiate d2ydx2The expression y had been differentiated with respect to x twice (to find the nature of the turning point)00Double Differentiate d2ydx2The expression y had been differentiated with respect to x twice (to find the nature of the turning point)lefttopFactorialn!1 x 2 x 3 x … x (n – 1) x n00Factorialn!1 x 2 x 3 x … x (n – 1) x nleftbottomBinomial CoefficientnrThe value of n!r!n-r!00Binomial CoefficientnrThe value of n!r!n-r!leftbottomSigmai=1naiThe sum of a1+a2+…+an00Sigmai=1naiThe sum of a1+a2+…+anlefttopDifferentiate dydxThe expression y had been differentiated with respect to x (to give the gradient function)00Differentiate dydxThe expression y had been differentiated with respect to x (to give the gradient function)leftbottomInverse Function f-1(x)The inverse function to the function f00Inverse Function f-1(x)The inverse function to the function flefttopThe second derivative f''(x)The function f has been differentiated with respect to x twice00The second derivative f''(x)The function f has been differentiated with respect to x twiceleftbottomThe first derivative f'(x)The function f has been differentiated with respect to x00The first derivative f'(x)The function f has been differentiated with respect to x4812781447Quod erat demonstrandumQ.E.D.Written at the end of a proof. Meaning “That which was to be proved”00Quod erat demonstrandumQ.E.D.Written at the end of a proof. Meaning “That which was to be proved”481275233837Plus/Minus±Used to show that an expression can take both a positive value and a negative value.00Plus/Minus±Used to show that an expression can take both a positive value and a negative value.lefttopInfinity∞A number greater than any assignable quantity or countable number00Infinity∞A number greater than any assignable quantity or countable numberleftbottomTends towards→Abbreviation used to show the limit an expression reaches00Tends towards→Abbreviation used to show the limit an expression reaches ................
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