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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.

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.

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.

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.

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