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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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arXiv ID1811.07593 (version 1)
Pith IDCK3P25JW, Pith's permanent record of this paper and its review
CitationLorenzo Luzzi, Paolo Roselli. "The convergence of a gesture recognizer and the shape of a plane gesture." arXiv:1811.07593 (2018). https://pith.science/paper/CK3P25JW
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,507 input tokens.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.43 · human participants 0.08 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.09 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

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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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: method or tool 0.62 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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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