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The convergence of a gesture recognizer and the shape of a plane gesture
Classical Analysis and ODEs · Submitted 19 Nov 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this work we develop the mathematical framework of !FTL, a new gesture recognition algorithm and we prove its convergence.
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The abstract, sentence by sentence
In this work we develop the mathematical framework of !FTL, a new gesture recognition algorithm and we prove its convergence. Such convergence suggests to adopt a notion of shape for smooth gestures as a complex valued function. However, the idea inspiring that notion came to us from Clifford numbers and not from complex numbers. Moreover, the Clifford vector algebra can be used to extend to higher dimensions the notion of shape of a gesture, while complex numbers are useless to that purpose.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this work we develop the mathematical framework of !FTL, a new gesture recognition algorithm and we prove its convergence. | contribution 1.00 | 0.96 | 0.53 | asserted 1.00 |
| s1 | Such convergence suggests to adopt a notion of shape for smooth gestures as a complex valued function. | interpretation 0.98 | 0.65 | 0.21 | hedged possibility 1.00 |
| s2 | However, the idea inspiring that notion came to us from Clifford numbers and not from complex numbers. | background 0.61 | 0.64 | 0.05 | asserted 0.99 |
| s3 | Moreover, the Clifford vector algebra can be used to extend to higher dimensions the notion of shape of a gesture, while complex numbers are useless to that purpose. | contribution 0.47 | 0.51 | 0.16 | asserted 1.00 |
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The paper
Original abstract
In this work we develop the mathematical framework of !FTL, a new gesture recognition algorithm and we prove its convergence. Such convergence suggests to adopt a notion of shape for smooth gestures as a complex valued function. However, the idea inspiring that notion came to us from Clifford numbers and not from complex numbers. Moreover, the Clifford vector algebra can be used to extend to higher dimensions the notion of shape of a gesture, while complex numbers are useless to that purpose.
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