By solving Formula 16, the relationship between the δE and the absorption field with different γ is presented in Fig. 6.
We recall the solving formula by Santos [6] and Santos and Magazine [7]: b i = n / k + S ( k + 1 ) / 2 p − i S / p for i = 1, …, k, where k = ⌈ 1 / 4 + 2 n p / S − 1 / 2 ⌉.
Noting the fact in the solving formula b 1 − b 2 = ⋯ = b k − 1 − b k = v, it follows from the triangle structure diagram in the case S = v t that n = ( k, i, 1 ) and/or n = ( k, i, k ).
Only when the orthogonal basis ψ is irrelevant to the measurement matrix ϕ, that is to say, the projection matrix can satisfy the requirement of restricted isometry property (RIP), the signal x can be accurately recovered via these measured value by solving formula (3) in the best optimized way.
Thus, the solving formula by Santos [6] and Santos and Magazine [7] is appropriate for the problem with S = v p and n = ∑ t = 1 k − 1 t v + ( i − 1 ) k + k, where k, v, and i ≤ v are positive integers.
In a forecasting problem, categorical variables like the day type at moment t should be converted to numeric representations in order to fit the most numerical solved formulas.
A fast iterative algorithm is adopted to solve formula (15).
The purpose of CT image blind reconstruction is to solve formula (11).
ADMM is an effective method to solve formula (1), which combines the advantages of multiplier method and alternating minimization method.
Three questions concerned inequalities ("Fill in greater than/equal to/less than"), two questions involved solving a formula ("Solve the formula for the variable ' r' and circle the correct answer"), and one fill-in question required students to solve the equation for x and write the answer.
Solving this formula results in the pattern on an projection screen produced by an illuminated aperture, as defined by the integration limits in the formula.
