math.stackexchange.com/questions/2382011/computational-complexity-of-modular-exponentiation-from-rosens-discrete-mathem mentions:can be calculated in:Remember that $log(m)$ and $log(n)$ are the lengths in bits of $m$ and $n$, so in terms of the length in bits $M$ and $N$ we'd get:

The Decision Analysis Cycle (DAC) is a systematic approach to making decisions that involve uncertainty and complexity. It helps organizations and individuals make informed choices by breaking down the decision-making process into clear, manageable steps. While different frameworks may exist, a common structure includes the following key phases: 1. **Problem Definition**: Identify and clearly articulate the decision problem. This includes understanding the objectives, constraints, and the context of the decision.

Control, in the context of optimal control theory, refers to the process of determining the control inputs for a dynamic system to achieve a desired performance. Optimal control theory seeks to find the control strategies that minimize (or maximize) a certain objective, often described by a cost or utility function, over a given time horizon. Key elements of optimal control theory include: 1. **Dynamic System**: A model that describes how the state of a system evolves over time, usually defined by differential or difference equations.

A:

Constraint inference refers to the process of deducing or deriving new constraints from existing constraints within a logical framework, mathematical model, or computational system. This concept is prevalent in various fields, including artificial intelligence, operations research, optimization, and formal verification.

This section contains the a list of cool things Ciro Santilli has been up to in chronological order, including small quick ones. Many/most of those are also posted on Ciro Santilli's accounts such as:

For a more theme-oriented version of the best results see: Section "The best articles by Ciro Santilli".

For OurBigBook Project updates see: docs.ourbigbook.com/news

Comma-free codes are a type of prefix code used in information theory and coding theory. They are designed to transmit sequences of symbols without ambiguity in decoding. The main characteristic of a comma-free code is that no two codewords can overlap when concatenated with a separator (often referred to as a comma) between them. ### Properties of Comma-free Codes: 1. **Prefix Condition**: In a comma-free code, no codeword can be a prefix of another codeword.

The B Reactor of the facility produced the plutonium used for Trinity and Fat Man, and then for many more thousand bombs during the Cold War. More precisely, this was done at

Located in Washington, in a dry place the middle of the mountainous areas of the Western United States, where basically no one lives. The Columbia river is however nearby, that river is quite large, and provided the water needed by their activities, notably for cooling the nuclear reactors. It is worth it having look on Google Maps to get a feel for the region.

Unlike many other such laboratories, this one did not become a United States Department of Energy national laboratories. It was likely just too polluted.

Bibliography:

Chladni's law refers to a principle in acoustics, particularly in the study of vibrations and wave phenomena. Named after the German physicist Ernst Chladni, who is often regarded as the father of acoustics, it pertains to the patterns formed by vibrating surfaces, which are often visualized using sand or other fine materials. When a plate or membrane is vibrated at specific frequencies, it demonstrates nodal lines (points of no vibration) that separate regions of maximum movement.

Many/most companies are unable to give any beauty to its employees.

Hiring is simply a process of "let's get this money making project working ASAP", bring people in, without considering Brooks's law.

And then when that happens, companies put people in extremely narrow knowledge areas, making them unable to see or participate in the bigger picture of things, unless they spend 10 years there and reach architect status.

This is perhaps particularly painful for high flying birds like Ciro Santilli.

Companies need a higher top to down force that attempts to actually teach the business and tech to every employee to counter the low level manager get things done now pressure.

Companies that are able to do that, will have many more employees with a sense of purpose, and with the ability to innovate. Those companies will win.

The Chaplygin problem is a classic problem in classical mechanics that deals with the motion of a rigid body. It specifically examines the motion of a rigid body that is constrained to roll without slipping along a surface. The problem is named after the Russian mathematician Sergey Chaplygin, who studied it in the context of the dynamics of solid bodies.