Math Problem Statement

The image shows two mathematical identities to be proven: δμ = 1/2 (Δ + ∇) and Δ - ∇² = Δ∇²

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Calculus
Differential Operators

Formulas

δμ = 1/2 (Δ + ∇)
Δ - ∇² = Δ∇²

Theorems

Divergence Theorem
Gradient and Laplacian Properties

Suitable Grade Level

Undergraduate Level (Calculus III or Advanced Mathematical Methods)

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