Sinusoidal function
A sinusoidal function is a smooth periodic function whose values vary according to a sine or cosine pattern.
Learn Haskell by Example
A sine wave is a periodic waveform whose value follows the mathematical sine function.
- How it is used
- Generates periodic audio waveforms for a digital music box.
- How deep it goes
- Defines the waveform, explains period scanning and frequency, and implements tone generation without developing further mathematics.
- Examples
- Uses `sin`, `tone sin 220 5`, and concatenated waveform export as concrete examples.
- What you can do after
- Builds a sine-wave audio signal and exports it as a WAV file.
Read how Learn Haskell by Example explains sinusoidal function →
Building Quantum Software with Python
A sinusoid is a waveform described by a sine or cosine function and characterized by a frequency and phase.
- How it is used
- Models periodic sound signals and encodes periodic patterns in discrete quantum states.
- How deep it goes
- Defines amplitude, frequency, phase, and sine-cosine relations, then implements sampled and complex sinusoidal states.
- Examples
- Uses glass harmonicas, sin(x), sampled cosine values, unit-circle phases, and geometric sequence states.
- What you can do after
- Build it from scratch using sine, cosine, discrete samples, complex amplitudes, and geometric-sequence state functions.
Read how Building Quantum Software with Python explains sinusoidal function →
Related concepts
- math.sinproduced by · Math.sin is a JavaScript Math method that returns the sine of an angle expressed in radians.
- positional embeddinguses · A positional embedding is a learned or fixed representation that encodes an element’s position or order in a sequence and is incorporated into its content representation.
- amplitudeconfigured by · Amplitude is the maximum magnitude of an oscillating quantity's displacement from its equilibrium or reference value.
- frequencyconfigured by · Frequency is the count or rate at which an item, event, outcome, or periodic cycle occurs within a specified collection or interval.
- sound wavekind of · A sound wave is a mechanical disturbance that propagates through a medium and can be perceived as sound.
- Fourier transformproduced by · The Fourier transform is a mathematical transformation that represents a function or signal as constituent sinusoidal components organized by frequency.
These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.