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All Journal Katalis Pendidikan: Jurnal Ilmu Pendidikan dan Matematika Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam
Klara Manila Laoli
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Education Mathematics Other

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Analisis Kombinatorik Dalam Menentukan Keamanan dan Kompleksitas Password dengan Penerapan Teori Kombinatorik Arnah Ritonga; Bobby Putra Delon Togatorop; Herdita Br Ginting; Klara Manila Laoli; Monica Tri Yuni Sinaga; Rina Intan Amelia; Widya kartini pangaribuan
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 2 No. 2 (2025): Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v2i2.1463

Abstract

Password security is a crucial aspect of digital authentication systems; however, many users still rely on weak and easily guessable passwords, increasing their vulnerability to cyber threats such as brute force and dictionary attacks. This study aims to evaluate password strength based on length and character complexity using a combinatorial theory approach. Through simulations, this research calculates the number of possible character combinations for various password lengths and character types, including lowercase letters, uppercase letters, numbers, and symbols. Additionally, the study estimates the time required to crack different types of passwords using brute force techniques and compares the results with real-world password breach data. The simulation results reveal that passwords composed solely of lowercase letters and fewer than eight characters in length can be cracked within seconds. In contrast, passwords that include a combination of uppercase and lowercase letters, numbers, and symbols with a minimum length of 12 characters would require more than one million years to be deciphered through brute force methods. These findings emphasize that increasing both the length and complexity of passwords significantly enhances security strength. Therefore, users are strongly encouraged to create passwords that are at least 12 characters long and include a diverse mix of character types. Furthermore, implementing Multi-Factor Authentication (MFA) and using password managers are highly recommended strategies to improve account protection. By adopting these practices, the risk of data breaches due to compromised passwords can be substantially reduced, contributing to stronger and more resilient digital security environments.
Penerapan Integral Lipat Dua untuk Menghitung Volume Tiang Beton Berbentuk Tabung sebagai Dasar Estimasi Kebutuhan Material pada Struktur Pondasi Gedung Alvi Sahrin Nasution; Dear Sevtia Br Karo Karo; Gracia Lovian Girsang; Herdita Br. Ginting; Klara Manila Laoli; Windi Suryani
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 3 No. 4 (2025): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v3i4.888

Abstract

This study examines the application of double integrals in calculating the volume of cylindrical concrete piles as a basis for estimating material requirements in building foundation structures. The volume calculation was carried out using a double-integral approach in polar coordinates for three pile segments with lengths of 4 m, 3.9 m, and 4 m, each having a diameter of 60 cm. The results were then validated using the standard geometric formula to ensure consistency and mathematical reliability. The obtained concrete volume was subsequently used to estimate material needs based on a 1:1.5:3 mix proportion consisting of cement, sand, and gravel. The findings indicate that double integrals can be effectively applied to generate accurate estimations of both volume and material requirements, supporting logistical planning in construction. This approach also highlights the strong connection between mathematical concepts—particularly multivariable calculus—and practical applications in civil engineering. Furthermore, the study emphasizes that double integrals may serve as a relevant alternative when structural modeling requires deeper analytical exploration or validation beyond conventional geometry. Therefore, the implementation of double integrals not only reinforces theoretical understanding but also enhances precision in evaluating structural components within building foundation planning.
Co-Authors Alvi Sahrin Nasution Arnah Ritonga Bobby Putra Delon Togatorop Dear Sevtia Br Karo Karo Gracia Lovian Girsang Herdita Br Ginting Herdita Br. Ginting Monica Tri Yuni Sinaga Rina Intan Amelia Widya kartini pangaribuan Windi Suryani