Even and Odd Functions

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{2}A_{21} Base Sequence = 12735 String Sequence = 12735 - 2 - 21 **

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Even and Odd Functions

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Painting

Figure 7.13 shows two periodic signals (blue and red). Which of the signals is an even function and which is an odd function.

**The string**:

S_{7}P_{2}A_{21} (Identity - Physical Properties).
**The math**:

Pj Problem of interest is of type *identity*.

A function f(t) is *even* if f(-t) = f(t)

A function f(t) is *odd* if f(-t) = -f(t)

The *red* signal is a cosine function. So, it is expressed as:

f(t) = cosωt

So, *f(-t) = cos(-ωt)
= cos(0-ωt) = cos0cosωt + sin0sinωt
= cosωt.
So, the cosine function (red signal) is an even function.
The *

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Single Variable Functions

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The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

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More Pj Problem Strings