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5 results on '"Afgani, Rizal"'

1. Refinements of Kool-Thomas Invariants via Equivariant $K$-theoretic invariants

Author

Afgani, Rizal

Subjects
Mathematics - Algebraic Geometry, 14N10 (Primary), 14C35 (Secondary)
Abstract

In this article we are defining a refinement of Kool-Thomas invariants of local surfaces via the equivariant $K$-theoretic invariants proposed by Nekrasov and Okounkov. Kool and Thomas defined the reduced obstruction theory for the moduli of stable pairs $\mathcal{P}_{\chi}(X,i_{*}\beta)$ as the degree of the virtual class $\left[\mathcal{P}_{\chi}(S,\beta)\right]^{red}$ after we apply $\tau([pt])^{m}\in H^{*}(\mathcal{P}_{\chi}(X,i_{*}\beta),\mathbb{Z})$. $\tau([pt])$ contain the information of the incidence of a point and a curve supporting a $(\mathcal{F},s)$. $\textbf{Keywords: }$Kool-Thomas invariants, $K$-theoretic invariants, G\"ottsche Shende invariants, Comment: 32 pages, No Figures

Published
2020

2. Topos theory and synthetic differential geometry.

Author

Afgani, Rizal

Abstract

The most basic axioms of synthetic differential geometry is not compatible with classical set theory so that they must be interpreted in a more general category [1]. Moerdijk and Reyes has constructed a topos ℰ (i.e. a category with an internal logic) that contains the category of smooth manifolds [2] and satisfies the axioms of synthetic differential geometry interpreted via sheaf semantics. In this article we review sheaf semantics of topos and some applications in synthetic differential geometry. In particular, we discuss the R-module structure in ℰ /M of the tangent bundle π : TM → M of a manifold M. [ABSTRACT FROM AUTHOR]

Published
2024
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3. On reformulation of control systems in synthetic differential geometry setting.

Author

Pranoto, Iwan and Afgani, Rizal

Abstract

It's well known in classical differential geometry that each ordinary differential equation can be represented as a vector field. However, only through the development of Synthetic Differential Geometry (SDG), there are rigorous tools to formulate this representation. In particular, Anders Kock and Gonzalo E. Reyes show a rigorous machinery to represent any ordinary differential equation (ODE) as a generalized action of the infinitesimal set D on the set M. Here, we extend the work of Kock and Reyes on reformulating some control systems in Synthetic Differential Geometry setting, and reformulate their geometric properties in SDG setting. [ABSTRACT FROM AUTHOR]

Published
2024
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4. Penerapan model self directed learning untuk meningkatkan kualitas pembelajaran siswa kelas V tema 9 SDI Terpadu Nurul An-shar Kecamatan Mimbaan Kabupaten Situbondo / Rizal Tanzil Afgani

Author

Afgani, Rizal Tanzil and Afgani, Rizal Tanzil

Abstract

ABSTRAK Afgani Rizal Tanzil. 2016. Penerapan Model Self Directed Learning Untuk Meningkatkan Kualitas Pembelajaran Siswa Kelas V Tema 9SDI Terpadu Nurul Anshar Kecamatan Mimbaan Kabupaten Situbondo. Skripsi Prodi S1-Pendidikan Guru Sekolah Dasar Jurusan Kependidikan Dasar dan Prasekolah Fakultas Ilmu Pendidikan Universitas Negeri Malang. Pembimbing (I) Dra. Hj. Nihayati S. Pd. M.Pd (II) Dra. Sri Sugiharti M.Pd Kata Kunci Self Directed Learning Aktivitas dan Hasil Belajar Tema 9 Pembelajaran di SDI Terpadu Nurul Anshar Kecamatan Mimbaan Kabupaten Situbondosudah menggunakan kurikulum 2013 (K13). Pada saat proses kegiatanbelajarmengajarterdapat beberapa guru kelas hanya berpedoman pada pembelajaran yang menggunakan pendekatan Scientific Approach tanpa menggunakan model pembelajaran yang tersedia. Terutama guru kelas V yang belum menerapkan model pembelajaran secara bervariasi ketika melaksanakan pembelajaran. Kegiatan pembelajaran yang dilakukan hanya dengan pembentukan kelompok kelompok saja tanpa memperhatikan langkah langkah dari sebuah model pembelajaran. Sehingga siswa merasa bosan dengan kegiatan pembelajaran. Masalah dalam penelitian ini adalah bagaimana penerapan model Self Directed Learning pada tema 9 subtema 2 di kelas V SDI Terpadu Nurul Anshar Kecamatan Mimbaan Kabupaten Situbondo. Kemudian bagaimana aktivitas belajar siswa dengan menerapkan model pembelajaran Self Directed Learning pada tema 9 subtema 2 kelas V SDI Terpadu Nurul Anshar Kecamatan Mimbaan Kabupaten Situbondo. Dan bagaimanakah peningkatan hasil belajar siswa dengan menerapkan model Self Directed Learning pada tema 9 subtema 2 kelas V SDI Terpadu Nurul Anshar Kecamatan Mimbaan Kabupaten Situbondo. Rancangan yang digunakan adalah Penelitian Tindakan Kelas (PTK) dengan model siklus Kemmis dan MC Taggart yang terdiri dari tahap perencanaan tindakan dan pengamatan refleksi dan perbaikan rencana. Penelitian ini dilaksanakan dalam 2 siklus padatema 9 subtema 2 dengan subjek penelitian adalah siswa

Published
2017

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