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Home » But in the format, they use for computation, then #### with number. - Network4

But in the format, they use <<>> for computation, then #### with number. - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Ein Elektroingenieur analysiert ein RLC-Kreis mit der Impedanz \( Z = R + j\left(\omega L - \frac{1}{\omega C}\right) \). Für \( R = 10 \) Ω, \( L = 0.1 \) H, \( C = 100 \) μF und \( \omega = 1000 \) rad/s, wie groß ist der Betrag der Impedanz in Ohm?

📌 Berechne \( \omega L = 1000 \times 0.1 = 100 \) Ω.

📌 Berechne \( \frac{1}{\omega C} = \frac{1}{1000 \times 100 \times 10^{-6}} = \frac{1}{0.1} = 10 \) Ω.

📌 Impedanz \( Z = 10 + j(100 - 10) = 10 + j90 \).

📌 Betrag \( |Z| = \sqrt{10^2 + 90^2} = \sqrt{100 + 8100} = \sqrt{8200} \approx 90.55 \) Ω.

📌 #### 90.55

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📌 Ein Datenwissenschaftler, der sich mit maschinellem Lernen beschäftigt, verwendet die Log-Verlust-Formel \( L = -\frac{1}{n} \sum_{i=1}^n \left[ y_i \log(\hat{y}_i) + (1 - y_i) \log(1 - \hat{y}_i) \right] \). Für eine einzelne Vorhersage, bei der \( y = 1 \) und \( \hat{y} = 0.8 \), wie groß ist der Verlust?

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