5. I pull out my book of spells: These are magical symbols and notation commonly used in various branches of wizardry such as set theory, algebra, calculus, number theory, graph theory, probability, etc. Some of these symbols and notations have specific meanings and usage in mathematics and can be used to represent different mathematical concepts and operations such as: [infinity (∞), lambda (λ), delta (∆), epsilon (𝛿), psi (ψ), Pi (Π), integral (∫), natural numbers (ℕ), integers (ℤ), rational numbers (ℚ), real numbers (ℝ), binary operation (⊕), multiplication (⊗), bottom element (⊥), not equal to (≠), element of (∈), subset or equal (⊆), subset (⊂), empty set (∅), complex numbers (ℂ), multiplication (×), division (÷), equality (=), greater than or equal to (≥), less than or equal to (≤), for all (∀), there exists (∃), countably infinite natural numbers (∞-ℕ), Gamma (Γ), Pi (𝜋), Sigma (σ), mu (µ), partial derivative, radient operator, wave functions (Φ, Ψ), angle integral (∫𝜃), bottom element of integers (⊥ℤ), top element of integers (⊤ℤ), Lambda (Λ), Xi (Ξ), real numbers squared (ℝ²), partial derivative of a function (∂𝑓/∂𝑥), second partial derivative of a function (∂²𝑓/∂𝑥²), a function (𝑔(𝑥), 𝑓(𝑥)), definite integral of a function (∫₀ⁿ𝑓(𝑥)𝑑𝑥), eigenvalues (𝜂₁, 𝜂₂, ..., 𝜂𝑛), Phi (Ф), Omega (Ω), Beta (𝛽), summation (∑), factorial (𝑛!), combination (𝑛Cₖ), logarithm base 2 (log₂), logarithm base 10 (log₁₀), ceiling and floor functions (⌈⌉, ⌊⌋, ⌈x⌉, ⌊x⌋), a sequence of functions (𝑓₀(𝑥), 𝑓₁(𝑥), 𝑓₂(𝑥), ..., 𝑓ₙ(𝑥)), product (∏), exponentiation (𝑛^𝑘), square root (√𝑛), nth root (√[𝑛]), magnitude or absolute value (|𝑥|), factorial (𝑥!), power (𝑥ʳ), permutation (𝑛Pr), combination (𝑛Cr), height (ℎ), coefficients (𝑎₀, 𝑎₁, 𝑎₂, ..., 𝑎ₙ, 𝑏₀, 𝑏₁, 𝑏₂, ..., 𝑏ₙ), variables (𝑥₀, 𝑥₁, 𝑥₂, ..., 𝑥ₙ, 𝑦₀, 𝑦₁, 𝑦₂, ..., 𝑦ₙ) etc.]
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