What is Sigma?

Σ                           This image (called Sigma) signifies "summarize"

This is how things have been:

 

Sigma Documentation

 

Sigma is enjoyable to utilize and can do numerous cunning things. Learn more at Sigma Documentation.

 

You could likewise prefer to peruse the further developed subject Incomplete Aggregates.

 

All Capabilities

Administrators

               +             Expansion administrator

            -           Deduction administrator

            *          Augmentation administrator

            /          Division administrator

            ^          Power/Type/List Administrator

            ()          Brackets

Capabilities

            Sqrt     Square Foundation of worth or articulation.

            Sin       sine of worth or articulation

            Cos      cosine of worth or articulation

            Tan      tangent of worth or articulation

            asin     inverse sine (arcsine) of worth or articulation

            acos     inverse cosine (arccos) of worth or articulation

            atan    inverse digression (arctangent) of worth or articulation

            sinh     Hyperbolic sine of worth or articulation

            cosh    Hyperbolic cosine of worth or articulation

            tanh    Hyperbolic digression of worth or articulation

            exp      e (the Euler Consistent) raised to the force of worth or articulation

            ln         The regular logarithm of worth or articulation

            log       The base-10 logarithm of worth or articulation

            abs      Absolute esteem (distance from nothing) of worth or articulation

            the fact the Factorial capability!

Constants

            pi         The consistent Ï€ (3.141592654...)

            e          Euler's Number (2.71828...), the base for the regular logarithm

 

 

 

 

 

n∑k=puk=up+up+1+...+un−1+un∑�=����=��+��+1+...+��-1+��

• k is the summation file,

• p et n is separately the lower and upper scope of the summation, and that implies that the amount of the UK�� terms start from k=p and ends at k=n.

 

How to utilize this number cruncher?

'Record' field      Input a solitary letter that signifies the summation file. Model: I or k

'Compute the amount of' field            Expression (above ui��) to aggregate.

This field might incorporate an optional variable, for example, ui=i+m��=�+�

See more subtleties underneath.

'From record' field            Lower cutoff of the file range (indicated 'p' above). You might include a number or an optional variable.

'To file' field        Upper breaking point of the listed range (meant 'n' ci-disk). You might include a number or an auxiliary variable or too (twofold o) for '+infinity' which is valuable for boundless total computations.

Approved articulations

• Numbers: digits, divisions, decimal numbers (separator: dab)

• Administrators: + - */^ (power)

To duplicate a by b, input a*b and not stomach muscle, for example, 2*x.

• Constants: pi, e

• Capabilities

sqrt (square root), exp (outstanding), log(x) or ln (normal logarithm), sin (sine), cos (cosine), tan (digression), bed (cotangent), sec (secant), csc (cosecant), asin (arcsine), acos (arccosine), atan (arctangent), act (arccotangent), asec (arc secant), acsc (arc cosecant) sinh (exaggerated sine), cosh (exaggerated cosine), tanh (exaggerated digression), coth (exaggerated cotangent), sech (exaggerated secant), csch (exaggerated cosecant) asinh (Opposite exaggerated sine) acosh (Reverse exaggerated cosine), atanh (Backwards exaggerated digression), acoth (Converse exaggerated cotangent), asech (Backwards exaggerated secant), acsch (Converse exaggerated cosecant)

A few Models

Click on articulation to see the journalist mini-computer.

• Amount of the initial 100 regular numbers

1 + 2 + 3 + 4 + ... + 99 + 100 = 5050

• Amount of the primary n regular numbers

1+2+3+4+...+n=n⋅ (n+1)21+2+3+4+...+�=�⋅(�+1)2

• Amount of squares of the initial 100 normal numbers

12 + 22 + 32 + 42 + ... + 1002 = 338350

• Amount of squares of the main n regular numbers

12+22+32+42+...+n2=n⋅ (n+1) ⋅ (2n+1)612+22+32+42+...+�2=�⋅ (�+1)⋅(2�+1)6

• Amount of opposite of the primary n regular numbers

1+12+13+14+...+1n−2+1n−1+1n=1+12+13+14+...+1�-2+1�-1+1�=H(n) (Symphonious series)

• Amount of converse of regular numbers

1+12+13+14+15...=∞1+12+13+14+15...=∞

• Amount of backwards of regular numbers with rotating sign

11−12+13−14+15...=log (2)11-12+13-14+15...=log (2)

• Amount of reverse of odd regular numbers with exchanging sign

11−13+15−17+...=Ï€411-13+15-17+...=�4

• Amount of first n even regular numbers

2+4+6+...+2⋅(n−1)+2⋅n=n⋅(n+1)2+4+6+...+2⋅(�-1)+2⋅�=�⋅(�+1)

• Amount of first n odd regular numbers

1+3+5+7+...+(2n−1)=n21+3+5+7+...+(2�-1)=�2

• Limited Amount of the Reciprocals of Abilities of 2

1+12+122+132+...12n=2⋅(1−12n+1)1+12+122+132+...12�=2⋅(1-12�+1)

• Limitless Amount of the Reciprocals of Abilities of 2

1+12+122+132+...=2

Sum of Series in Javascript