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Forecasting power line accidents using auroras: RAS method

https://sudonull.com/forecasting-power-line-accidents-using-auroras-ras-method

Scientists from the Geophysical Center of the Russian Academy of Sciences have developed a method for assessing geomagnetically induced currents using auroras. Accident probability is 7.5%. Learn about risks for the Arctic.

Moment Generating Function: formulas and properties

https://sudonull.com/moment-generating-function-formulas-and-properties

Study the moment generating function for computing moments of distributions. Taylor series expansion, properties for sums, example with exponential distribution. For developers and data science analysts.

GPT-5.4 Pro: counterexample to GCI for non-centered measures

https://sudonull.com/gpt-5-4-pro-counterexample-to-gci-for-non-centered-measures

GPT-5.4 Pro disproved the hypothesis of the Gaussian correlation inequality for shifted Gaussian measures. Counterexample in 2D with strips, generalization to n≥2. Solution details on solveall.org. Study for AI in mathematics.

Proxy MCAL for MCU: code portability

https://sudonull.com/proxy-mcal-for-mcu-code-portability

Learn how Proxy MCAL ensures firmware portability between microcontrollers. Unified API, binding, examples for STM32, NRF. Complete guide for developers.

Deterministic AI Validation: End of the GPU Race

https://sudonull.com/deterministic-ai-validation-end-of-the-gpu-race

Learn why probabilistic AI models are inefficient and how a deterministic firewall on WebAssembly solves hallucinations. ASIC vs GPU benchmarks: 400x energy savings. For developers.

From other projects

Fed rate hike in December 2026: probability 41%

https://ymaho.com/fed-rate-hike-in-december-2026-probability-41

Markets price in 41% probability of Fed rate hike in December 2026. Analysis of reasons, consequences for inflation, and hidden forecasts. Learn how to protect capital.

ECB rate hike in September 2026: forecast and impact

https://ymaho.com/ecb-rate-hike-in-september-2026-forecast-and-impact

Investors price in 65% probability of ECB rate hike in September. Analysis of reasons, consequences for euro, bonds and business. Read the forecast.

Dollar at high: should we expect a Fed rate hike?

https://ymaho.com/dollar-at-high-should-we-expect-a-fed-rate-hike

DXY index at 2-month high. Market prices in 40% probability of rate hike. Find out what will happen to the dollar, euro, and gold. Forecast for 30 and 90 days.

US index futures: rise ahead of Fed rate decision

https://ymaho.com/us-index-futures-rise-ahead-of-fed-rate-decision

Analysis of S&P 500 and Nasdaq futures rise of 0.13% ahead of Fed minutes release. Assessment of rate hike probability, hawkish rhetoric and forecasts for investors. Read details.

From the web

Probability - Wikipedia

https://en.wikipedia.org/wiki/Probability

The probability is a number between 0 and 1; the larger the probability, the more likely the desired outcome is to occur. For example, tossing a coin twice will yield "head-head", "head-tail", "tail-head", …

Probability - Math is Fun

https://www.mathsisfun.com/data/probability.html

How likely something is to happen. Many events can't be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of probability. When a coin is tossed, there are …

Probability - Formula, Calculating, Find, Theorems, Examples

https://www.cuemath.com/data/probability/

Probability is all about how likely is an event to happen. For a random experiment with sample space S, the probability of happening of an event A is calculated by the probability formula n (A)/n (S).

Probability | Statistics and probability | Math | Khan Academy

https://www.khanacademy.org/math/statistics-probability/probability-library

Probability tells us how often some event will happen after many repeated trials. You've experienced probability when you've flipped a coin, rolled some dice, or looked at a weather forecast.

Notes on Probability - Stanford University

https://web.stanford.edu/~oas/SI/QM/notes/ProbabilityText.pdf

Probability mass function, density function, dis-tribution function. Probabilities of events in terms of random variables. Transformations of a single random variable. Mean, variance, median, quantiles. …

Probability in Maths - GeeksforGeeks

https://www.geeksforgeeks.org/maths/probability-in-maths/

Jul 14, 2026 · It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions.

Basic Concepts of Probability - GeeksforGeeks

https://www.geeksforgeeks.org/maths/basic-concepts-of-probability/

Apr 21, 2026 · The probability of an event E, denoted by P (E), is a number between 0 and 1 that represents the likelihood of E occurring. If P (E) = 0, the event E is impossible.

7.5: Basic Concepts of Probability - Mathematics LibreTexts

https://math.libretexts.org/Bookshelves/Applied_Mathematics/Contemporary_Mathematics_(OpenStax)/07:_Probability/7.05:_Basic_Concepts_of_Probability

Jan 2, 2025 · Sometimes it is easier to compute the probability that an event won’t happen than it is to compute the probability that it will. To apply this principle, it’s helpful to review some tricks for dealing …

Probability theory - Wikipedia

https://en.wikipedia.org/wiki/Probability_theory

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in …

Probability, Statistics & Random Processes | Free Textbook | Course

https://www.probabilitycourse.com/

This probability and statistics textbook covers: Basic concepts such as random experiments, probability axioms, conditional probability, and counting methods

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