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What are even and odd components of a signal?
a continuous time signals x(t) which is neither odd (or) even can be expressed as a sum of even and odd signals let x(t)=xe(t)+xo(t) =xe(t)= even part of x(t) =xo(t)=odd part of x(t)
Why there is no even harmonics in symmetrical signals?
Symmetrical signals, or odd functions, exhibit symmetry about the origin, meaning that their waveform is unchanged when reflected across both axes. As a result, the Fourier series representation of such signals contains only odd harmonics, since even harmonics would require symmetry about the vertical axis, which is not present. This absence of even harmonics is a consequence of the mathematical properties of odd functions, where all the even coefficients in their Fourier expansion become zero. Thus, symmetrical signals fundamentally do not include even harmonics.
Would an even plus and even equal an even?
Yes it would Even + even = even Even + odd = odd Odd + odd = even
Can properties of a function be discovered from its Maclaurin series Give examples.?
Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
Why even number squared will be even?
because that's the theory of maths even x even = even even x odd = odd even + even = even even + odd = odd
Can all the signals be categorized either as even or odd signals?
all the signals can not be categorized as even and odd,signals like voice we can not categorize it as even or odd either we can say it is a complex signal.
What are even and odd components of a signal?
a continuous time signals x(t) which is neither odd (or) even can be expressed as a sum of even and odd signals let x(t)=xe(t)+xo(t) =xe(t)= even part of x(t) =xo(t)=odd part of x(t)
Why there is no even harmonics in symmetrical signals?
Symmetrical signals, or odd functions, exhibit symmetry about the origin, meaning that their waveform is unchanged when reflected across both axes. As a result, the Fourier series representation of such signals contains only odd harmonics, since even harmonics would require symmetry about the vertical axis, which is not present. This absence of even harmonics is a consequence of the mathematical properties of odd functions, where all the even coefficients in their Fourier expansion become zero. Thus, symmetrical signals fundamentally do not include even harmonics.
If you add 3 to an even number the sum would be odd or even?
Odd. Even + Even = Even Odd + Odd = Even Odd + Even = Even + Odd = Odd
Is even times even odd?
even times even = even odd times even = even odd times odd = odd
Does multiplying an odd number by an even number give an even answer?
odd * odd = odd answer even * even = even answer odd * even = even answer
When you add to even numbers is the answer always even?
Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd
Is the sum of an odd number and an even number always even?
No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even
What happens when you add two even numbers Will you get an even number?
Always. even + even = even odd + odd = even even + odd = odd odd + even = odd To summarise, if you add like numbers you get even, otherwise you get odd.
Is even times even?
even times even = even odd times even = even odd times odd = odd
Odd ( even ) ( odd ) even .... ( even ) ( 15 times ) is odd or even?
it is even
What is even times even equal?
even times even = even odd times odd = odd even times odd = even
