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The Voigt profile (named after Woldemar Voigt) is a probability distribution given by a convolution of a Cauchy-Lorentz distribution and a Gaussian distribution. It is often used in analyzing data from spectroscopy or diffraction.
The analysis highlights History and Applications as prominent areas in the source structure around Voigt profile.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
The extracted context around Voigt profile shows recurring relationship patterns in the source. For example, Voigt profile → Doppler, Due, Faddeeva, Gaussian, In, Lorentzian, Voigt, Waldemar Voigt Another extracted example is Voigt profile → Cauchy, It, The, The Lorentzian, The Voigt, Voigt. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
function displaystyle voigt profile gaussian convolution width distribution lorentzian gamma sigma derivatives profiles line centered pseudo-voigt approximation spectroscopy given used
TTTA extracted 39 structured relationships around Voigt profile. Examples in this analysis include Voigt profile → CDF → (complicated - see text) and Voigt profile → CF → e − γ | t | − σ 2 t 2 / 2 {\displaystyle e^{-\gamma |t|-\sigma ^{2}t^{2}/2}}. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Voigt profile | CDF | (complicated - see text) | 1.00 | infobox |
| Voigt profile | CF | e − γ | t | − σ 2 t 2 / 2 {\displaystyle e^{-\gamma |t|-\sigma ^{2}t^{2}/2}} | 1.00 | infobox |
| Voigt profile | Excess kurtosis | (not defined) | 1.00 | infobox |
| Voigt profile | Mean | (not defined) | 1.00 | infobox |
| Voigt profile | Median | 0 {\displaystyle 0} | 1.00 | infobox |
| Voigt profile | MGF | (not defined) | 1.00 | infobox |
| Voigt profile | Mode | 0 {\displaystyle 0} | 1.00 | infobox |
| Voigt profile | Parameters | γ , σ > 0 {\displaystyle \gamma ,\sigma >0} | 1.00 | infobox |
| Voigt profile | ℜ [ w ( z ) ] σ 2 π , z = x + i γ σ 2 {\displaystyle {\frac {\Re [w(z)]}{\sigma {\sqrt {2\pi }}}},~~~z={\frac {x+i\gamma }{\sigma {\sqrt {2}}}}} | 1.00 | infobox | |
| Voigt profile | Skewness | (not defined) | 1.00 | infobox |
| Voigt profile | Support | x ∈ ( − ∞ , ∞ ) {\displaystyle x\in (-\infty ,\infty )} | 1.00 | infobox |
| Voigt profile | Variance | (not defined) | 1.00 | infobox |
The concept neighborhoods around Voigt profile bring nearby vocabulary together. In this analysis, examples include Voigt, Convolution and Function. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Voigt profile, one of the stronger structural bridges in this analysis connects Voigt profile with Properties. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Voigt profile to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Applications, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Voigt profile · EN edition · Analysis: TopicsToTalkAbout