maths
I never really got the jargon for “divisor,” “numerator,” etc. into my head… Basic stuff, I know. 
Subtraction: minuend - subtrahend = difference
Addition: addend + addend = sum
Division: dividend / divisor = quotient
Division: numerator / denominator = ratio
Multiplication: multiplier × mutliplicand = product
And now we both know! Never again will we get confused reading elementary math texts. 
#lang_en #math #maths
" 𝗠𝗮𝘁𝗵𝘀 𝗣𝗿𝗼𝗼𝗳𝘀 𝗶𝗻 𝗟𝗲𝗮𝗻 - 𝗙𝗶𝗿𝘀𝘁 𝗦𝘁𝗲𝗽𝘀 " 🚀
Designed specifically for beginners struggling to get started with other courses and guides.
* Simple bite-sized examples.
* Focus on concepts, introduced gradually.
* One easy exercise per chapter.
.. all to build confidence, not demolish it !
The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.
\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]
Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]
The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi
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