Ruang metrik adalah himpunan tak kosong yang dilengkapi dengan fungsi jarak. Jika range dari fungsi jarak (himpunan bilangan real) diganti dengan ruang Banach real, maka diperoleh pengertian ruang metrik cone. Pada paper ini diperkenalkan pengertian ruang metrik cone dengan jarak-w, yang merupakan hasil pengembangan dari ruang metrik cone. Selanjutnya, dikaji bahwa teorema titik tetap pemetaan kontraktif pada ruang metrik cone lengkap masih tetap berlaku pada ruang metrik cone lengkap dengan jarak-w.

Statistical quality control using control charts is an easy-to-implement method to improve quality. Improvements in the quality of products and services are continuously implemented to meet consumer needs. Products and services must maintain the desired quality with as few defects as possible. Variations in products and services are naturally created to meet needs. Unintentional variation, but the cause can be found. Control charts can be used to monitor production; particularly serving as an early warning index of processes that are potentially out of control. To keep production under control, different control charts are prepared for different cases, created by combining upper and lower control limits. Points plotted on a graph can reveal certain patterns, which in turn allow the user to get specific information. Information on water production is very important in PDAM because water is the main product that meets the needs for the survival of humans, animals, plants, and various other needs. The supply of clean water that meets the requirements of quality standards is always pursued by PDAM Surya Sembada Surabaya. The Statistical control chart training will increase productivity and improve water quality, not only in terms of chemical, physical and biological quality. Good water quality will add value to the trust and community of PDAM.

AbstrakIntegral Cavalieri-Wallis dan integral Porter-Wallis adalah suatu konsep baru dalam Matematika, dibangun berdasarkan konsep indivisible yang dikembangkan oleh Cavalieri dan Wallis.Metode indivisible adalah pemikiran tentang area di bawah kurva sebagai jumlah dari seluruh garis vertikal yang sejajar, yang ada di bawah kurva. Integral Cavalieri-Wallis dan Porter-Wallis dibangun melalui pendekatan limit dari jumlahan tinggi kurva pada masing-masing subinterval. Pada makalah ini dikaji bagaimana membangun integral Cavalieri-Wallis dan integral Porter-Wallis dan sifatsifatnya, serta keterkaitan antara kedua integral tersebut dengan integral Riemann. Dalam kenyataannya, setiap fungsi yang terintegral Riemann pasti terintegral Cavalieri-Wallis dan Porter-Wallis.Kata Kunci: integral Cavalieri-Wallis, integral Porter-Wallis, integral Riemann, metode indivisible.

Abstract-We introduce an idea of convergent sequence in a cone 2-normed space. We show that the convergence in 2-normed spaces using the definition of 2-norm by considering its dual space. Then we construct the convergence in cone 2-normed space, particularly for ℓ2-space.