ProgCalc vs Baselproblem

**ProgCalc Overview** ProgCalc is a high-precision (38-digit) programmable calculator with true-decimal arithmetic, offering a Swift programming language interface for creating complex algorithms. It supports both scalar and non-scalar data types and operations. Non-scalar data types include complex numbers, quaternions, n-dimensional vectors, arrays, lists, and hierarchical tuples. The app uses a tailored subset of the standard Swift language, optimized for numerical applications. It includes a comprehensive 38-digit scalar math library featuring well-known transcendental functions (trigonometric, hyperbolic, logarithmic, and exponential) as well as specialized functions such as arithmetic-geometric mean, arbitrary-precision rounding, modulo operations, binomial coefficients (log and normal), factorial functions (log and normal), ceiling and floor functions (toward -∞ and 0), and more. A detailed app documentation is included, accessible via the [2nd][8] key. It provides a comprehensive guide to all calculator features, a language reference with examples and grammar, and additional resources. **User Interface Modes** ProgCalc offers three interactive modes, detailed in the app documentation: - Standard infix notation (infiX, default) - Fully editable infix notation (infiXE) - Reverse Polish Notation (RPN) You can switch between modes from the device’s home screen by using a pressure gesture on the app icon. On iPad devices, dedicated mode-switch keys provide a more convenient option. **Additional Notes** - ProgCalc is ad-free and will remain so. - The app does not collect any information. - The app does not rely on any third-party software.

The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734.