Mathematical Notations

Linear

  • Individual Value: the returned values of this notification consist in their simple numerical sequence inserted.

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Figure 375 Individual Value

  • Stepped Values: specify the initial and final values of the desired sequence and the step between two successive values inbetween separated by colons.

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Figure 376 Stepped Values

  • Equivalent Notation: it is not necessary to insert the “:” between the step and the maximum value.

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Figure 377 Equivalent Notation

  • Stepped and Single Values: a combination of the two notations described above. It provides a sequence of numbers between a given maximum and a minimum value, with a provided step, and it adds other given numbers at the end of the sequence.

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Figure 378 Stepped and Single Values

  • Combined Stepped Values List: it gives a sequence of numbers between a given maximum and a minimum value with two or more different steps between them.

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Figure 379 Combined Stepped Values List

  • Numeric: with this notation is possible to choose the minimum and maximum values of the series and how many elements of the series visualize between the two extreme values, using the # symbol.

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Figure 380 Numeric

Logarithmic

With this notation it is possible to enter the minimum and maximum value of the series to represent and a series of intermediate values with increasing logarithmic trend. To achieve this use a step value multiplied by a “growing factor” (to apply from the third value onwards).

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Figure 381 Logarithmic

For example, in this case the step is 1 and the incremental factor is 1.5., resulting in:

First value

1

Second Value

First value (1) + Step (1)= 1+1

2

Third Value

Second Value (2) + Step(1) * Growing Factor (1.5) = 2+1*1.5

3.5

Fourth Value

Third Value (3.5) + “Grown Step” (1.5) * Growing Factor (1.5) = 3.5 + 1.5*1.5

5.75

… and so on.

Minimum-Maximum values

This notation uses automatically the maximum and the minimum value of a dataset and gives the possibility to choose how many intermediate values to insert between the two extreme values, as shown in the following example:

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Figure 382 Minimum-Maximum values

Summary chart

Notation type

Notation

Value

Explicit, Single Values

0 2 5 6 10

0 2 5 6 10

Linear, Stepped Values

1:1:5

1:1 5

1 2 3 4 5

Linear, Stepped Values

1:1 5

1 2 3 4 5

Linear, Stepped Values + Single Values

0:2 10 11 18

0 2 4 6 8 10 11 18

Linear, Combined stepped Value

1:1 5:3 20

1 2 3 4 5 8 11 14 17 20

Numeric

1#4 10

1 2 4 6 8 10

Logarithmic

1:1*1.5 10

1 2 3.5 4.31 5.75 9.12