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Proposisi dalam Matematika: Pemahaman Tentang Negasi Konjungsi, dan Disjungsi dan Penerapan Operasi Logika dalam Analisis Matematika Prihaten Maskhuliah; Tita Mustikawati Selayar; Aulia Salsabila Putri
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 5 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i5.744

Abstract

This article examines the concept of propositions in mathematics, which are statements referred to as (closed sentences, false, values, and true values). The discussion covers negation, or what is known as negation, as operations that have truth values and truth tables. In addition, this article examines conjunction, or compound propositions that are true. (the combination of two questions), which involves two propositions with either true or false values. Furthermore, this article also examines disjunction, which involves statements containing conjunctionand also has truth tables. The primary objective is to provide a concise yet comprehensive understanding of propositions as logical and mathematical concepts. In addition, this article examines conjunction, or compound propositions that are true. A conjunction involves two propositions that are combined using the logical operator "and," symbolized by ∧. The conjunction of two propositions is true only when both individual propositions are true. For example, if P is true and Q is true, then the conjunction P ∧ Q is also true. However, if either P or Q is false, the conjunction P ∧ Q becomes false. The truth table for conjunction helps to clarify these conditions. Conjunction is often used in mathematical proofs, where multiple conditions must be satisfied simultaneously for a statement to hold true. Furthermore, this article also examines disjunction, which involves statements containing conjunction and also has truth tables. Disjunction, represented by the symbol ∨, involves two propositions and is true if at least one of the propositions is true. If both propositions are false, the disjunction is false. For instance, if P is false and Q is true, then P ∨ Q is true. The truth table for disjunction provides clarity on how this operation works. Disjunction is frequently used in mathematics and logic to express situations where at least one condition must be satisfied.
Peran Ukuran Pemusatan Dan Letak Data Dalam Evaluasi Statistik Pendidikan Di Sekolah Basmala Siarkanasa; Prihaten Maskhuliah; Faujiah M. Lau; Muh. Rezha Irman; Hasan Lulang
Jurnal Ilmu Manajemen dan Pendidikan | E-ISSN : 3062-7788 Vol. 2 No. 2 (2025): Juli - September
Publisher : CV. ITTC INDONESIA

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Abstract

Educational evaluation is not limited to descriptive assessments but requires the application of a structured statistical approach to obtain an objective picture of learning achievement. Measures of central tendency (mean, median, mode) and measures of position (quartiles, deciles, percentiles) play a vital role in mapping students’ score distributions, identifying disparities, and supporting data-driven decision-making. Based on a review of the literature and relevant regulations, including Ministry of Education and Culture Regulation No. 23 of 2016, transparent and accountable evaluation requires the integration of these two types of measures. This study employs a literature review method by examining books, scholarly journals, and official documents. The findings reveal that measures of central tendency provide a summary of the middle value, while measures of position indicate the relative standing of scores within the distribution. Together, they can be used to detect outliers and design more targeted learning interventions. A simulation using hypothetical data demonstrates that applying these measures yields a more accurate categorization of achievements compared to relying solely on the average. In decision-making, the application of both classical and Bayesian statistical methods can improve the accuracy of planning, control, and prediction of learning outcomes. This study underscores that mastering and optimally applying measures of central tendency and position constitutes a strategic step in enhancing the quality of learning evaluation in schools. (Gelman et al., 2013
Pengantar Matematika Modern: Model dan Fungsi Prihaten Maskhuliah; Alfaris Syahdan Nurpratama; Imam Bugis
Konstanta : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 4 No. 1 (2026): Maret : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : International Forum of Researchers and Lecturers

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59581/konstanta.v4i1.6055

Abstract

The idea of functions in mathematics and how they are used to build different mathematical models are methodically examined in this publication. Functions are basic mathematical constructs that show relationships between two or more variables in explicit equations, tables, or graphs. The fundamental building blocks of mathematics are functions, which enable the representation of variable interdependencies in a variety of formats, including formal mathematical expressions, data tables, and graphs. The classification of function types, such as linear, quadratic, and exponential, and their corresponding uses in the domains of physics, economics, and epidemiology are the main topics of this study, which takes a descriptive and exploratory approach.This article illustrates how knowledge of functions greatly aids processes through a review of the literature and an examination of secondary sources from current textbooks and academic publications. of judgment, forecasting, and analysis. In both academic and professional contexts, mathematical modeling based on functions has demonstrated efficacy in accurately and efficiently representing real-world occurrences. Thus, the significance of incorporating functional thinking into STEM education and multidisciplinary practice is emphasized in this essay.