On generalized algebraic theories and categories with families

We give a syntax independent formulation of finitely presented generalized algebraic theories as initial objects in categories of categories with families (cwfs) with extra structure. To this end, we simultaneously define the notion of a presentation Σ of a generalized algebraic theory and the associated category CwFΣ of small cwfs with a Σ-structure and cwf-morphisms that preserve Σ-structure on the nose. Our definition refers to the purely semantic notion of uniform family of contexts, types, and terms in CwFΣ. Furthermore, we show how to syntactically construct an initial cwf with a Σ-structure. This result can be viewed as a generalization of Birkhoff’s completeness theorem for equational logic. It is obtained by extending Castellan, Clairambault, and Dybjer’s construction of an initial cwf. We provide examples of generalized algebraic theories for monoids, categories, categories with families, and categories with families with extra structure for some type formers of Martin-Löf type theory. The models of these are internal monoids, internal categories, and internal categories with families (with extra structure) in a small category with families. Finally, we show how to extend our definition to some generalized algebraic theories that are not finitely presented, such as the theory of contextual cwfs.

Kesalahan siswa kelas VII SMP Negeri 19 Mataram Tahun Ajaran 2020/2021 dalam menyelesaikan soal cerita pada materi himpunan ditinjau dari prestasi belajar

This study aims to describe the mistakes made by the VIIA grade students of SMP Negeri 19 Mataram in solving story questions about the set material in terms of learning achievement. With the research subject, namely 6 students of class VIIA which has been selected based on learning achievement. This research is a descriptive qualitative type with research instruments in the form of written test sheets and interview guidelines. The data analysis technique was carried out by the students completed the questions using the Polya analysis or not, if using the Polya analysis, the stages were correct or not, if using the Polya analysis with the correct steps, the students' answers would be analyzed using the Polya analysis. The results of the study were at the stage of understanding the problem, the subject made mistakes 16.66% with a small category, at the stage of choosing the right problem-solving strategy made an error 20% with a small category, at the stage of solving the problem subject made a mistake 51.66% with the high category and at the stage of re-checking subjects made mistakes 64,58% with the very high category.

Derived categories of functors and quiver sheaves

Let [Formula: see text] be small category and [Formula: see text] an arbitrary category. Consider the category [Formula: see text] whose objects are functors from [Formula: see text] to [Formula: see text] and whose morphisms are natural transformations. Let [Formula: see text] be another category, and again, consider the category [Formula: see text]. Now, given a functor [Formula: see text] we construct the induced functor [Formula: see text]. Assuming [Formula: see text] and [Formula: see text] to be abelian categories, it follows that the categories [Formula: see text] and [Formula: see text] are also abelian. We have two main goals: first, to find a relationship between the derived category [Formula: see text] and the category [Formula: see text]; second relate the functors [Formula: see text] and [Formula: see text]. We apply the general results obtained to the special case of quiver sheaves.

Role of MSME's In Economic Growth Of India

In this paper, secondary data of MSME’s annual report is used to analysis the different aspects of MSME’s and its role in the Indian economy. We can see the huge growth in number of MSME’s in 2005-06 due to MSME’s act 2006 implemented, which increases the coverage of number of enterprises by properly defining the criteria of MSME’s. MSME’s also contributed very highly in total export of the country. Data suggested that most of the enterprises registered under MSME’s act are fall under the micro and small category and very few enterprise are under medium category within it. Male female participation ratio is also analyzed state wise in this paper some northeastern states like Manipur, Meghalaya, Mizoram, Nagaland are doing very good in male female participation ratio.

ANALISI KONTRIBUSI PAJAK HOTEL DAN RESTORAN TERHADAP PENDAPATAN ASLI DAERAH (PAD) DI KABUPATEN SARMI PROVINSI PAPUA TAHUN 2015-2019

Abstrak Tujuan penelitian ini agar pembaca dapat mengetahui sumbangan ataupun efektifitas pada pajak restoran maupun pajak hotel dalam peningkatan PAD (Pendapatan.Asli Daerah) yang berada di daerah Kabupaten Sarmi. Dari penelitian ini metode yang akan digunakan yaitu metode kualitatif dengan pendekatan deskriptif untuk mengetahui seberapa besar kontribusi serta efektivitas pajak hotel dan restoran terhadap Pendapatan Asli Daerah di Kabupaten Sarmi Provinsi Papua Tahun 2015-2019. Berdasarkan hasil analisis ditemukan bahwa penerimaan pada sektor. pajak yaitu hotel maupun restoran secara pendapatan yang didapat dalam meningkatnya Pendapatan. Asli Daerah. pada daerah Kabupaten Sarmi pada tahun 2015-2019 masih dalam kategori kecil dimana pada tahun 2015 sebesar 1,48% dan 1,24%, 2016 sebesar 1,70% dan 1,75%, 2017 sebesar 0,50% dan 0,68%, 2018 sebesar 0,53% dan 0,64%, dan tahun 2019 sebesar 0,32% dan 0,26%, tingkat efektifitas Pendapatan Asli Daerah dari sektor pajak hotel dan restoran masih sangat kurang efektif. Kata Kunci : Kontribusi, pajak hotel dan restoran, Pendapatan Abstract The purpose of this research is for readers to know whether or not the effectiveness of the hotel and restaurant tax will be achieved. In increasing the Local Native Income in Sarmi Regency. The method used by the researchers is a qualitative method with a descriptive approach to know how much the contribution..and effectiveness of the hotel and restaurant tax to the Local Indigenous Income in Sarmi Regency of Papua Province year 2015-2019. Based on the results of the analysis found that the receipt of hotel and restaurant taxes in a contribution to the increase in Sarmi District's Original Income in 2015-2019 is still in the small category where in 2015 by 1.48% and 1.24%, 2016 was 1.70% and 1.75%, 2017 was 0.50% and 0.68%, 2018 was 0.53% and 0.64%, and in 2019 at 0.32% and 0.26%, the effectiveness of Regional Native Income from the hotel and restaurant tax sector is still very ineffective. Keywords : Contributions, hotel and restaurant taxes, Income

Police Archives Before the Police

This introductory chapter discusses the definitional undefinability of the notion of “police.” This undefinability offers a conundrum when it comes to textual interpretation, but vagrancy offers a generatively loquacious archive of police. In the archive of vagrancy, one sees the making of police through the “minute particulars.” As it was a paradigmatic target of police, vagrancy also remained crucially resistant to definitional certainty, and yet it had a material, practical life as well — many of its “minute particulars” were elaborated in administrative, theoretical, and literary texts, thus generating an archive of police before “the police” had taken institutional form. Through precise attention to the deceptively small category of vagrancy as it traverses legal theory, legal practice, and print culture, one gains crucial insight into the array of practices, theories, modes and purviews of violence, and habits of perception that coalesced as “police” before the establishment of the modern police force. The chapter then considers how vagrancy connected local order-keeping to political economy.

Bom-Kim

The Bom-Kim dialect cluster in Sierra Leone, a member of the South Atlantic family within Niger-Congo, features an areally common segmental structure with a labial-velar (labiovelar) stop and prenasalized consonants, whereas tone is only marginally distinct lexically. It has a rather classic Niger-Congo noun class system, but a restricted system of verbal extensions or derivational suffixes. It combines a system of prepositions with postpositions, the latter specifying the search domain for objects. Next to the major categories nouns and verbs, there is a small category of adjectives and adverbs. Limited knowledge of ideophonic words among modern speakers of Bom-Kim may be interpreted as an instantiation of language obsolescence, as Bom-Kim is an endangered language.

Cohomology of Presheaves of Monoids

The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category. The main result states and proves a cohomological classification of monoidal prestacks on a category with values in groupoids with abelian isotropy groups. The paper also includes a cohomological classification for extensions of presheaves of monoids, which is useful to the study of H -extensions of presheaves of regular monoids. The results apply directly in several settings such as presheaves of monoids on a topological space, simplicial monoids, presheaves of simplicial monoids on a topological space, monoids or simplicial monoids on which a fixed monoid or group acts, and so forth.