In order to solve problems of difficult adjustment and low stability in calculating the height of target with classical formula, this paper proposes a digital processing-based method to obtain the relations of amplitudes and phases of the sum-difference signals, its implementation circuit is simple in adjustment, stable for operation and has a small error of height-finding.

Thereby it can find out the top displacement by simply makes use of classical formula in material mechanics, reaches the purpose of calculating tower rigidity.

Deep research and comparing analysis between the classical solution and the finite element result is made on contact stress & formation and load distribution of conical roller bearings by revised classical formula of elastic contact problems, according to finite element solution in two different interfering conditions.

In this article a great deal of experimental data was examied and it was proved that the classical formula of a initial yiesld pressure had a error of ±9%(for open ends)to ±13%(for closed ends)in certain cases.

In the framework of the effective field hypothesis one obtains the generalization of the classical formula by Rosen and Hashin (Int.

In particular, a classical formula due to Trent for subnormal cyclic operators is extended to the case of subdecomposable operators, based on tools from local spectral theory and the Kato spectrum.

By making use of a classical formula due to Mehler (late 19th century), we establish a linear relationship linking the differential jets at two different scales σ and positions ξ involving Hermite polynomials.

By these means, we generalize a classical formula for γ due to Ramanujan, together with Vacca's and Gosper's series for γ, as well as deduce irrationality criteria and tests and new asymptotic formulas for computing Euler's constant.

An expression for the initial intensity occurring in the classical formula is derived.

In this article a great deal of experimental data was examied and it was proved that the classical formula of a initial yiesld pressure had a error of ±9%(for open ends)to ±13%(for closed ends)in certain cases.The corrected formula in this article has a corresponding error of only ±5.4% to ±3%.Obviously,this formula has already fulfilled the requirement of designing.

The classical formula of confidence limits of inhibition rate (IR) would sometimes lead to contradictory conclusion with Student t-test, especially when the variation coefficent of the denominator of IR is large.In this paper, a new formula derived from Keller's method, is proposed for solving correct confidence limits of IR. The recommended example showed that both the new formula and Student t-test would reach the same conclusion whatever the variation coefficent of the denominator of IR...

The classical formula of confidence limits of inhibition rate (IR) would sometimes lead to contradictory conclusion with Student t-test, especially when the variation coefficent of the denominator of IR is large.In this paper, a new formula derived from Keller's method, is proposed for solving correct confidence limits of IR. The recommended example showed that both the new formula and Student t-test would reach the same conclusion whatever the variation coefficent of the denominator of IR is. thus, the author suggests that the new formula is more reliable as compared with the classical.

Untill now there are no classical formula for computation the coefficient of dilution of water sample in the BOD-determination, only an empirical method has been used. Based on a large number of practices, we tried to solve this problem theoretically. The selection of the coefficient of dillution water sample will be reasonable if the comprehensive effects of the following factors are considered: the chemical oxygen demand(COD_(Cr)), the biochemical index(α=BOD_5/COD_(Cr)) and the quantity of dissolved...

Untill now there are no classical formula for computation the coefficient of dilution of water sample in the BOD-determination, only an empirical method has been used. Based on a large number of practices, we tried to solve this problem theoretically. The selection of the coefficient of dillution water sample will be reasonable if the comprehensive effects of the following factors are considered: the chemical oxygen demand(COD_(Cr)), the biochemical index(α=BOD_5/COD_(Cr)) and the quantity of dissolved oxygen(QDO), and the unused oxygen consuming quantity in dilution water(△W). The value of the biochemical water sample is between 0.72 to 0.25 approximately. Based on the characteristic parameter, referring to the allowable range of the biochemical oxygen demand on the fifth day(η), we can derive the general formula for computation the coefficient of dilution water sample as follows: C_n=(0.72×0.58~(-1)/(0.7WDO-△W))·COD_(Cr)+1-QDO/WDO This formula is very simple and convenient and may be used for various water samples. Its reliability have been proved by a large number of monitoring tests and experimental verifications. It was also described the particular applications of the formula.