The invariant subspace problem for the space of smooth functions on the real line

Goliński, Michał; Przestacki, Adam

doi:10.1016/j.jmaa.2019.123565

Cited by 2 publications

(1 citation statement)

References 10 publications

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“…There are many approaches in smoothing the line e.g. Walter [7], Greenblatt [8], and Goliński and Przestacki [9]. This research uses SIA algorithm.…”

Section: D) Smoothing Preservation (Sp)mentioning

confidence: 99%

The Implementation of Artificial Intelligence in Geometry Validation for Psychomotor Aspect Assessment

Arifiani¹,

Yuhana²,

Hariadi³

et al. 2021

Advances in Social Science, Education and Humanities Research

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Nowadays, many various of geometry validation tools produced to validate the shapes drawn automatically. The tools are useful to create geometry shape, for example: vertices, edges, and faces. This paper proposed a technique in geometry validation using an artificial intelligence (AI). The proposed method is to develop a 3D virtual environment for VR application. To support these circumstances, we use Oculust Rift and leap motion control. First, user will create random shapes in a system and the system do the validation. Second, after the validation, the system will show a correct information if the shape is correct. However, the system will show an incorrect information, if the shape is incorrect. Each point of shape that drawn will be marked and will be checked by the system. Last, Leap Motion Controller will match the hand gesture and the shape result. A virtual world will be show in Oculus Rift. This is necessary for the user in order to create a real feeling in the virtual world and do the interaction using leap motion control. This research aims also to do an evaluation of psychomotor aspect for the user. Several students in elementary school already tested and have a high interest, since the application is very useful and interactive.

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“…There are many approaches in smoothing the line e.g. Walter [7], Greenblatt [8], and Goliński and Przestacki [9]. This research uses SIA algorithm.…”

Section: D) Smoothing Preservation (Sp)mentioning

confidence: 99%

The Implementation of Artificial Intelligence in Geometry Validation for Psychomotor Aspect Assessment

Arifiani¹,

Yuhana²,

Hariadi³

et al. 2021

Advances in Social Science, Education and Humanities Research

View full text Add to dashboard Cite

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Invariant subspaces for Fréchet spaces without continuous norm

Menet

2021

Proc. Amer. Math. Soc.

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Let ( X , ( p j ) ) (X,(p_j)) be a Fréchet space with a Schauder basis and without continuous norm, where ( p j ) (p_j) is an increasing sequence of seminorms inducing the topology of X X . We show that X X satisfies the Invariant Subspace Property if and only if there exists j 0 ≥ 1 j_0\ge 1 such that ker ⁡ p j + 1 \ker p_{j+1} is of finite codimension in ker ⁡ p j \ker p_{j} for every j ≥ j 0 j\ge j_0 .

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The invariant subspace problem for the space of smooth functions on the real line

Cited by 2 publications

References 10 publications

The Implementation of Artificial Intelligence in Geometry Validation for Psychomotor Aspect Assessment

The Implementation of Artificial Intelligence in Geometry Validation for Psychomotor Aspect Assessment

Invariant subspaces for Fréchet spaces without continuous norm

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