Deriving cosmic expansion from Einstein: The slide shows how Einstein's field equations R_μν − ½ g_μν R = 8π G_N T_μν + Λ g_μν, for a perfect fluid T_μν = −p g_μν + (p + ρ) u_μ u_ν, yield the Friedmann-Lemaître equation H² ≡ (Ṙ/R)² = 8π G_N ρ/3 − k/R² + Λ/3. Here H(t) is the Hubble parameter and Λ the cosmological constant. The equation powers models of universe evolution, helps estimate its age and density from observations, and underpins studies of dark energy with telescopes like Hubble and JWST.

The Five Main Option Greeks every trader needs to know. These metrics quantify how an option’s price reacts to key market variables: Δ Delta – Sensitivity to moves in the underlying Θ Theta – Time decay Γ Gamma – How fast Delta changes ν Vega – Sensitivity to volatility ρ Rho – Sensitivity to interest rates Mastering these lets you manage risk, size positions, and understand where your P&L actually comes from. Save this for reference.