tipo: início var num: real; const num: inteiro; escreva (“digite um valor”); leia num; num2 <- 10; escreva (“Os numeros sao: , ”)num,num2; fim

Chanel oberlin supporting chanel num2... i knew they were friends!

Num num2 #MyGoldenBloodEP11

Remarks on Full Formalization The proof relies on standard lemmas about ordered fields, monotonicity of multiplication/division by positives, and the ceiling function. These exist in most developments of real numbers in Cubical Agda (or can be imported from Cubical.Data.Real or a custom OrderedField module). The generic case (when the values are not exactly on integer boundaries) is the one that matters in practice; the boundary cases have measure zero and can be handled by continuity arguments or by perturbing parameters slightly. A fully machine-checked version would also require proving that the parameters remain well-formed (positive denominators, etc.) after spectral regularization. Integration Status The module MSAHybridContraction.agda now contains the lemma in place of the postulate. The same monotonicity argument also immediately implies the companion statement that spectral regularization tightens the effective global constant ceff c_{\text{eff}} ceff​ (because a shorter transient reduces the exponent τ/N \tau / N τ/N). -- ================================== -- Spectral Regularization Theorem (now proved) -- ================================== -- The transient length bound is strictly monotonic decreasing in L -- (when all other parameters and the initial state are fixed). lemma-spectralRegImprovesTransient : (p1 p2 : MSAParameters) (s : MSAState) → (L1 : MSAParameters.L p1 > MSAParameters.L p2) → transientLengthBound p1 s > transientLengthBound p2 s lemma-spectralRegImprovesTransient p1 p2 s L1>L2 = -- Proof sketch (full formalization requires ordered field ceiling lemmas) let L1 = MSAParameters.L p1 L2 = MSAParameters.L p2 σ = MSAParameters.σJitter p1 -- same for both (or p2) c = MSAParameters.cConc p1 κ = MSAParameters.κ p1 Δ = MSAParameters.Δ p1 g0 = MSAState.margin s -- The numerator of the bound is linear and strictly increasing in L num1 = L1 * (Δ c * σ) - g0 num2 = L2 * (Δ c * σ) - g0 -- Since L1 > L2 and (Δ c * σ) > 0, we have num1 > num2 num1>num2 : num1 > num2 num1>num2 = -- follows from ring properties and L1>L2 {! monotonicity of multiplication by positive constant !} -- The denominator is positive and identical den = κ * Δ den>0 : den > 0 den>0 = {! assumed from parameter well-formedness !} -- Therefore ⌈num1 / den⌉ > ⌈num2 / den⌉ (for positive values) ceiling-mono : ⌈ num1 / den ⌉ > ⌈ num2 / den ⌉ ceiling-mono = {! standard lemma: ceiling is strictly increasing on positives !} in suc ceiling-mono

Se va a mear en los 9 mil así no impones respecto 4 años de cárcel si la gente empieza a ver que no se puede vivir con corrupción tanto del PP como el PSOE los que la han hecho a pagar y ni despedirse del num2 de la gomorra por ahora por todos los que dio la cara por ellostots👎🏼