Bayes' theorem links two probability trees for events A and B.
One tree splits first on A then on B given A, reaching the four joint probabilities. The other splits first on B.
The equation P(α|β) P(β) = P(α ∩ β) = P(β|α) P(α) shows how conditionals convert between them. Knowing any three independent values lets you calculate all the others displayed.
It is used in medical diagnostics to update the chance of disease from a test result using the test's sensitivity, specificity and disease prevalence.
Jacques Philippe Marie Binet (1786–1856) was a French mathematician, physicist, and astronomer. He is best known for his contributions to number theory and matrix algebra. Binet became a professor at the École Polytechnique in France and made important advances in mathematical analysis. His name is closely associated with Binet’s Formula, which provides a direct way to calculate Fibonacci numbers. Binet’s work had a lasting influence on modern mathematics and science....
Smith Chart ✍️
When electrical signals travel through cables and circuits at very high frequencies, such as radio, microwave, wifi, and radar, they can bounce back toward their source like an echo if the circuit at the receiving end does not have the right electrical characteristics. These reflections waste power, damage equipment, and degrade signal quality. The challenge of high-frequency circuit design is to prevent these reflections by carefully controlling a property called impedance. Impedance combines resistance, which dissipates energy as heat, and reactance, which stores and releases energy in capacitors and inductors. Before the Smith Chart was created, managing impedance needed pages of complex calculations. Phillip Smith at Bell Laboratories in 1939 realized that the entire mathematical space of possible impedances could be mapped onto the inside of a single circle, turning complex math into simple geometry. The circle has two overlapping families of curved lines that form a coordinate grid. Red circles represent lines of constant resistance; every point on a given red circle has the same resistance, regardless of other factors. Blue arcs represent lines of constant reactance; the upper half of the chart is inductive territory where inductors are found, the lower half is capacitive territory where capacitors are located, and the horizontal line across the middle shows pure resistance with no energy storage. Every point on the chart provides two pieces of information: the impedance at that location and the amount of signal reflection it produces. The center of the chart indicates perfect matching and zero reflection. The outer edge indicates total reflection. The distance from the center directly measures how badly mismatched the circuit is. The labeled points A through F, marked with red arrows, trace an engineer's step-by-step design journey. This starts at the raw mismatched impedance and moves toward the center by adding capacitors, inductors, and cable sections; each of these moves the impedance point along a specific path on the chart. Adding a section of transmission line rotates the impedance in a perfect circle around the center; the longer the cable, the further it rotates. The goal is to reach the center, delivering maximum power to the load with minimal reflection. Even with powerful computers available today, engineers still use the Smith Chart because it offers something no numerical output can provide: immediate visual understanding of whether a circuit is moving in the right direction, making it one of the most lasting and elegant tools in the history of electrical engineering.
Este chico será recordado por la eternidad como alguien que fue secuestrado , torturado y asesinado en cautiverio por un grupo terrorista palestino que contó con el apoyo de la izquierda internacional , nunca podré perdonar esto, y la historia no puede ser re escrita porque los hechos son hechos y de esto no se vuelve nunca 💔
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Bajo la marca ZEGA, elaboramos forros para asientos y una amplia línea de accesorios para vehículos: • Alfombras • Forros exteriores
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El precio promedio del acero HCR FOB norteamericano, en mayo de 2026, resultó 118,6% mayor que su similar chino.
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automotrices e industriales para motores de combustión interna, con la marca WINNER @Winner_filtros
Desde 1970, INDUSTRIAS INCAPECA GOMA, C. A. fabrica soluciones de caucho de alta calidad para la industria automotriz y diversos sectores productivos: Perfiles y burletes de goma sólida y goma esponjosa; Perfiles tricomponentes con combinaciones de goma, metal y flock; Correderas
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