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The surface subsidence duration and the maximum subsidence velocity are critical indicators to evaluate the stability and severity of surface damage. Precisely predicting them is important for guiding engineering design and protecting ground infrastructure. Traditional manual measurement methods are time-consuming and laborious, and the existing empirical formulas have low accuracy and poor applicability. Therefore, a new prediction method was established in this paper. Measured data from 30 mining areas were used for verification. The results show that the predicted surface subsidence duration is basically consistent with the measured value. The standard deviation of the two is 61 d, and the relative standard deviation is 6.6%. The predicted surface maximum subsidence velocity is basically consistent with the measured value. The standard deviation of the two is 10.0 mm/d, and the relative standard deviation is 1.6%. The surface subsidence duration and the maximum subsidence velocity are positively correlated with the coal seam thickness, negatively and positively correlated with the mining speed, and positively and negatively correlated with the mining depth. The mining speed and mining depth have the same sensitivity to the two indicators, and the coal seam thickness is more sensitive to the surface subsidence duration. Furthermore, construction within the subsidence basin may further contribute to surface subsidence. Therefore, land reuse measures should be implemented following the predicted surface subsidence duration in this paper. This study addresses the knowledge gap in this field by deriving theoretical formulas for surface subsidence duration and maximum subsidence velocity. In the absence of sufficient measured data, engineers can calculate predicted values in combination with geological mining conditions and develop appropriate mining plans based on the extent of surface subsidence. [ABSTRACT FROM AUTHOR]

Geometric aspects of effectively hyperbolic critical points on time t = 0 are discussed assuming that the characteristic roots are real on one side of time t, namely time is positive. In particular, we aim to elucidate the differences in the geometric aspects of effectively hyperbolic critical points on time t = 0 when the characteristic roots are real on both the positive and negative sides of time. [ABSTRACT FROM AUTHOR]

This paper proposes the time-dependent instability of Timoshenko viscoelastic beams and Mindlin viscoelastic plates with different geometrical and material properties subjected to constant axial and inplane compressive loads, respectively. The goal of this study is to introduce a novel critical condition in which the transversal displacements diverge to infinity with time, while the applied compressive load is much smaller than the critical compressive load at time zero. Assuming constant bulk modulus, the constitutive equations are written based on the Boltzmann integral law. Solving an eigenvalue problem in the Laplace–Carson domain, the time responses of Timoshenko viscoelastic beams and Mindlin viscoelastic plates are formulated explicitly. Numerical results show that the viscoelastic critical load depends only on the material properties and is independent of the geometrical properties. Several numerical results are presented to study the effect of geometrical and material parameters on the time behavior of moderately thick viscoelastic plates. [ABSTRACT FROM AUTHOR]

To give users personalised recommendations, the collaborative filtering technique is widely used. In this technique, similarity computation plays a crucial role. Once the similarities among users or items are determined, the system can predict how a user might rate or interact with items that they have not yet encountered. The traditional approaches or measures mainly considered the user-item historical ratings to compute the similarity, while user preferences may change with time. Considering this, the objective of this research is to create an efficient recommendation system that utilized the temporal data. For this, few time decay functions, i.e., exponential, linear, logistic, and power applied to the ratings to give more weightage to the most recent ratings. Since, Gower's coefficient is suitable for handling the missing data, it is applied to calculate the similarity and compared its results with popular traditional similarity measures i.e., Cosine and Pearson correlation coefficient. Experimental findings on the ML-100k dataset in terms of Root Mean Squared Error (RMSE) and Mean Average Error (MAE) demonstrate that performance of RS improved when we applied a power function on ratings. With comparison to most recent methods PIP, NHSM, RJaccard etc., proposed approach gives almost 10% better results in MAE and 5% better results in RMSE comparison. [ABSTRACT FROM AUTHOR]

This paper considers the creep instability analysis of time-dependent sandwich cylindrical and spherical shell panels of quadrilateral planforms having elastic faces and viscoelastic cores according to the first-order shear deformation theory. The viscoelastic properties of the core are extracted based on the Boltzmann integral law. The equilibrium equation is expressed utilizing the virtual work principle. The space and time parts of the displacement vector are approximated using the simple HP-cloud mesh-free method (which has H refinement and P enrichment properties), and the exponential time function, respectively. The stiffness and geometry matrices are constructed in the Laplace–Carson domain. Finally, the time behavior of viscoelastic sandwich shell panels under in-plane compressions is predicted by solving the eigenvalue problem in the Laplace–Carson domain. Also, the maximum compressive load is determined which can be applied to the time-dependent sandwich shell panels without any creep instability. This critical compression is less than the buckling load of the viscoelastic sandwich shell panel at time zero. [ABSTRACT FROM AUTHOR]

To attain precise forecasts of surface displacements and deformations in goaf areas (a void or cavity that remains underground after the extraction of mineral resources) following coal extraction, this study based on the limitations of individual time function models, conducted a thorough analysis of how the parameters of the model impact subsidence curves. Parameter estimation was conducted using the trust-region reflective algorithm (TRF), and the time function models were identified. Then we utilized a combined model approach and introduced the sliding window mechanism to assign variable weights to the model. Based on this, the combined model was used for prediction, followed by the application of this composite prediction to engineering scenarios for the dynamic forecasting of surface movements and deformations. The results indicated that, in comparison with DE, GA, PSO algorithms, the TRF exhibited superior stability and convergence. The parameter models obtained using this method demonstrated a higher level of predictive accuracy. Moreover, the predictive precision of the variable-weight time function combined model surpassed that of corresponding individual time function models. When employing six different variable-weight combination prediction models for point C22, the Weibull-MMF model demonstrated the most favorable fitting performance, featuring a root mean square error (RMSE) of 32.98 mm, a mean absolute error (MAE) of 25.66 mm, a mean absolute percentage error (MAPE) of 7.67%; the correlation coefficient R2 reached 0.99937. These metrics consistently outperformed their respective individual time function models. Additionally, in the validation process of the combined model at point C16, the residuals were notably smaller than those of individual models. This reaffirmed the accuracy and reliability of the proposed variable-weight combined model. Given that the variable-weight combination model was an evolution from individual time function models, its applicability extends to a broader range, offering valuable guidance for the dynamic prediction of surface movement and deformation in mining areas. [ABSTRACT FROM AUTHOR]

The surface subsidence duration and the maximum subsidence velocity are critical indicators to evaluate the stability and severity of surface damage. Precisely predicting them is important for guiding engineering design and protecting ground infrastructure. Traditional manual measurement methods are time-consuming and laborious, and the existing empirical formulas have low accuracy and poor applicability. Therefore, a new prediction method was established in this paper. Measured data from 30 mining areas were used for verification. The results show that the predicted surface subsidence duration is basically consistent with the measured value. The standard deviation of the two is 61 d, and the relative standard deviation is 6.6%. The predicted surface maximum subsidence velocity is basically consistent with the measured value. The standard deviation of the two is 10.0 mm/d, and the relative standard deviation is 1.6%. The surface subsidence duration and the maximum subsidence velocity are positively correlated with the coal seam thickness, negatively and positively correlated with the mining speed, and positively and negatively correlated with the mining depth. The mining speed and mining depth have the same sensitivity to the two indicators, and the coal seam thickness is more sensitive to the surface subsidence duration. Furthermore, construction within the subsidence basin may further contribute to surface subsidence. Therefore, land reuse measures should be implemented following the predicted surface subsidence duration in this paper. This study addresses the knowledge gap in this field by deriving theoretical formulas for surface subsidence duration and maximum subsidence velocity. In the absence of sufficient measured data, engineers can calculate predicted values in combination with geological mining conditions and develop appropriate mining plans based on the extent of surface subsidence.

In order to study the dynamic influence of working face mining on surface subsidence, taking a mine in Wuhai as the engineering background, the prediction function model of surface dynamic subsidence is constructed by using Knothe time function and probability integral method and combining Usher function. The parameters of the prediction model are obtained by using the field measured data, and the prediction formula of the trend and tendency dynamic subsidence is obtained. FLAC3D is used to simulate the process of surface dynamic subsidence caused by working face mining. The research results show that: the surface of the working face is uplifted at the initial stage of mining, and changes from uplift to subsidence in the middle stage, the working face reaches full mining, and the subsidence curve is “U-shaped” when the working face advances to 600 m; the dynamic subsidence curve drawn by numerical simulation and measured data has a high similarity with the subsidence curve drawn by the dynamic subsidence prediction formula of strike and tendency, which verifies the accuracy and practicability of the dynamic subsidence prediction formula.

The time function method is one of the most commonly used methods for predicting surface dynamic displacements in coal mine areas. In which, the accuracy and reliability of the predicted displacements, to a large extent, depends on the selected mathematical functions for describing the “S”-typed dynamic subsidence at a single surface point (referred to as time functions). Nearly all of the existing studies primarily improve or introduce “S”-shaped growth functions with a single object to minimizing the fitting residuals between the in-situ monitored and the model-fitted subsidence. Such a strategy, however, would result in “overfitting” (or over-parameterization), thereby increasing the complexity of the constructed time function model and the difficulty of model parameter inversion. To this end, the optimal selection of time functions was analyzed in this paper using two indicators of fitting residual and model complexity, rather than the former one in existing studies. More specifically, time-series subsidence observations at 103 field points in seven coal mining areas with different geological mining conditions were selected to be observation samples for ensuring the applicability of the optimal time function. Then, 12 common “S-shaped” growth models were chosen to candidates, and the theoretical analysis and Akaike information criterion (AIC) were further used to analyze the optimal selection of time function from the chosen 12 “S”-shaped models. The results show that: ① Among the 12 selected models, the mean mis-fitting error of the five four-parameter models is about 3.51 cm, which is obviously smaller than that of the two-parameter Knothe model (14.10 cm), but just slightly smaller than the six three-parameter models (4.78 cm); ② In the view of making a trade-off between fitting residuals and model complexity (assessing by the AIC), the AICs of the six three-parameter models are smaller than those of the four-parameter and two-parameter models.This indicates that the three-parameters models are preferrable to describe the temporal evolution of subsidence at a single point, and the four-parameter and two-parameters models may be over-fitted and under-fitted, respectively; ③ Among the six selected models, the optimal selection of time function is related to the lithology of the overburden rock strata; that is, Hossfeld model, which has not been introduced into the time function method, is preferrable under soft and medium-hard overburden strata, whereas Weibull model is preferrable under hard overburden strata.

The fundamental model for dynamically predicting surface subsidence is the time influence function. However, current research and the application of time functions often neglect the comprehensive characteristics of the entire surface deformation process, leading to a less systematic representation of the actual deformation law. To rectify this, we explore ground point deformation along the strike line from two perspectives: dynamic subsidence and dynamic horizontal movement. Moreover, we develop prediction models for dynamic subsidence and dynamic horizontal movement at any point along the strike line, utilizing the probability integral method (PIM) and considering the surface deformation features. We then use characteristic constraints based on the prediction models to constrain the time influence function. For this purpose, we employ the Richards time function which has strong universality to establish the time functions for dynamic subsidence and horizontal movement under these constraints. We provide an illustrative example of its application in the 12,401 working face. Additionally, we explore the suitability of interferometric synthetic aperture radar (InSAR) technology for acquiring dynamic subsidence data on the surface. The experimental findings reveal the following key observations: the Richards model, when applied for dynamic subsidence prediction under constraints, exhibits high accuracy with an R-squared (R2) value of 0.997 and a root mean squared error (RMSE) of 94.6 mm, along with a relative mean square error of 1.9%. Meanwhile, the dynamic horizontal movement prediction model exhibits an accuracy in fully mined areas with an R2 of 0.986, an RMSE of 46.2 mm, and a relative mean square error of 2.6%. [ABSTRACT FROM AUTHOR]

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On the basis of the Zhonghe Tunnel project of the An-Lan Expressway, the objective of this study was to determine the appropriate method of calculating the steel arch load and stress release rate during numerical simulation. First of all, based on the monitoring results of six similar tunnel sections where the surrounding rock exerts pressure on the steel arch, using time functions, the rock pressure time history curve could be fitted, two formulas for calculating stable rock pressure in deep tunnels were compared, and the calculation model suitable for the Zhonghe Tunnel project was constructed. Then, a simulation of the Zhonghe Tunnel was performed using Flac3D, and stress release was simulated using the Mana method. By comparing the surrounding rock characteristic curves and the initial support characteristic curves under different stress release rates, the impact pattern of the stress release rate on the support load was summarized, and an appropriate excavation stress release rate was determined based on the stable rock pressure value calculation. It was found that the Zhonghe Tunnel rock pressure calculation model could better depict the change in rock pressure over time based on the empirical formula and Weibull time function. A prediction of the steel arch load of the Zhonghe Tunnel could be made using this method, and the stress release rate of the numerically simulated rock excavation was determined to be 0.5. This study thus provides a basis for the future internal force analysis and support parameter design of support systems.

To attain precise forecasts of surface displacements and deformations in goaf areas (a void or cavity that remains underground after the extraction of mineral resources) following coal extraction, this study based on the limitations of individual time function models, conducted a thorough analysis of how the parameters of the model impact subsidence curves. Parameter estimation was conducted using the trust-region reflective algorithm (TRF), and the time function models were identified. Then we utilized a combined model approach and introduced the sliding window mechanism to assign variable weights to the model. Based on this, the combined model was used for prediction, followed by the application of this composite prediction to engineering scenarios for the dynamic forecasting of surface movements and deformations. The results indicated that, in comparison with DE, GA, PSO algorithms, the TRF exhibited superior stability and convergence. The parameter models obtained using this method demonstrated a higher level of predictive accuracy. Moreover, the predictive precision of the variable-weight time function combined model surpassed that of corresponding individual time function models. When employing six different variable-weight combination prediction models for point C22, the Weibull-MMF model demonstrated the most favorable fitting performance, featuring a root mean square error (RMSE) of 32.98 mm, a mean absolute error (MAE) of 25.66 mm, a mean absolute percentage error (MAPE) of 7.67%; the correlation coefficient R2 reached 0.99937. These metrics consistently outperformed their respective individual time function models. Additionally, in the validation process of the combined model at point C16, the residuals were notably smaller than those of individual models. This reaffirmed the accuracy and reliability of the proposed variable-weight combined model. Given that the variable-weight combination model was an evolution from individual time function models, its applicability extends to a broader range, offering valuable guidance for the dynamic prediction of surface movement and deformation in mining areas.

In this paper, we present a novel formulation for the time-dependent three-dimensional bending analysis of a viscoelastic solid by defining a time function with unknown coefficient. The advantage of this method is that there is no need to follow the time-displacement curve; instead, the time-dependent responses of the viscoelastic solid are obtained only by bending analysis of the elastic solid with low computational cost and high computational speed. The relationship between stress and strain is written for linear viscoelastic materials employing the Boltzmann integral law. The displacement field is approximated through the combination of two functions, a function of geometrical parameters and a function of time. The equilibrium discretized equations are written based on the virtual work principle using the finite element method. The numerical results are compared with other available references. To determine the effects of geometry and material on the coefficient of the time function, the results are extracted for square, rectangular, skew, circular, and triangular prismatic solids as well as for different materials. [ABSTRACT FROM AUTHOR]

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Considering the shortcomings of the currently used time functions for dynamically predicting surface mining subsidence and calculating its parameters, a novel time function is proposed on the basis of an in-depth analysis on the movement characteristics of mining surface points in a fully mined area and the measured mining subsidence data in the field during the course of the mining process. The proposed function can be used to effectively characterize the surface subsidence, the subsidence velocity, and the acceleration of the mining area. All the parameters involved in the function have their physical meaning, and their influence on the function was also analyzed in this study. A parameter calculation method is proposed for the new time function based on the normalization method and least square principle. Taking the measured dynamic subsidence data of 22,618 working faces in a coal mine as an example, the reliability of the new time function model was verified by comparing the measured data with the predicted results. The results show that the average relative root-mean-square error was 5.2%, and the prediction accuracy was improved compared with the Knothe time function, double-parameter Knothe time function, and piecewise optimized Knothe time function. [ABSTRACT FROM AUTHOR]

The maximum subsidence speed moment τ of the surface point was set as cut-off point to divide the dynamic subsidence process into two phases of approximate symmetry. By combining it with deviation correction and growth function model to eliminate the oretical error, a segmented Weibull function was proposed, the regression equation of τ and the distance x between the surface point and the open hole was established, and the determination method of lithologic parameters c and k was discussed, which effectively improved the deficiency of Weibull time function in dynamic prediction. On the basis of the measured data of 3214 working face in a mine in Shanxi Province, the subsidence values of single point and main section were predicted and verified, and compared with those obtained by Weibull, Knothe and optimized segmented Knothe functions. From the analysis it was found that the prediction accuracy of piecewise Weibull time function is 41.09%, 51.03%, and 3.47% higher than above functions, respactively, at a single point. For the main section, the relative error in the first peried is the largest, only 5.25%. The segmented Weibull time function has certain reliability and can be used for dynamic prediction with higher accuracy in subsidence areas.

Copyright of Journal of Computer Engineering & Applications is the property of Beijing Journal of Computer Engineering & Applications Journal Co Ltd. and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

With the rapid development of social networks, the problem of information overload is increasingly serious. The recommendation system can deal with the problem of information overload effectively and provide users with personalized recommendation services. In the process of recommendation, the traditional recommendation algorithms do not take the social relationship of users as the basis of recommendation; at the same time, they do not take for the dynamic change of user's interest and think that it is immutable. About these problems, the paper proposes a personalized recommendation algorithm with social information and dynamic time windows. Firstly, a collaborative filtering algorithm is proposed which integrates social information and user interest in the process of searching the nearest neighbor. Secondly, the time windows are dynamically adjusted to obtain a stable increment and better reflect the short-term interests of users. Then, the concept of time function is introduced to allocate corresponding time weights for users' interests in different periods. Finally, we conduct a series of experiments to verify the practicability and effectiveness of our algorithm. Experimental results show that the performance of the proposed algorithm is better than the traditional collaborative filtering recommendation algorithm. [ABSTRACT FROM AUTHOR]

Objectives: This study tries to answer the crucial question of how many biological samples can be optimally included in a single test for COVID-19 pooled testing. Methods: It builds a novel theoretical model which links the local population to be tested in a region, the number of biological samples included in a single test, the “attitude” toward resource cost saving and time taken in a single test, as well as the corresponding resource cost function and time function, together. The numerical simulation results are then used to formulate the resource cost function as well as the time function. Finally, a loss function to be minimized is constructed and the optimal number of samples included is calculated. Results: In a numerical example, we consider a region of 1 million population which needs to be tested for the infection of COVID-19. The solution calculates the optimal number of biological samples included in a single test as 4.254 when the time taken is given the weight of 50% under the infection probability of 10%. Other combinations of numerical results are also presented. Conclusions: As we can see in our simulation results, given the infection probability at 10%, setting the number of biological samples included in a single test (in the integer level) at [4,6] is reasonable for a wide range of the subjective attitude between time and resource costs. Therefore, in the current practice, 5-mixed samples would sound better than the commonly used 10-mixed samples.

Depletion of shallow mineral resources caused by deep mining has become an inevitable trend, and deep mining can increase safety accidents and geological hazards. Overburden in a mined-out area is affected by mining disturbances, resulting in its subsidence or collapse, posing a threat to downhole safety and surface ecology. To identify the limitations of existing models, they were studied and analyzed for predicting the overburden movement in a current goaf. Based on the actual dynamic settlement of the overburden at a mine project site, the type and time relationship of the overburden settlement in the goaf is studied. Considering the influence of the deep overburden by self-gravity and tectonic stresses and combining with the Knothe time function, the overburden settlement is classified into four types: (I) sinking at a constant speed, (II) accelerated sinking until collapse, (III) initial accelerated sinking, followed by deceleration of sinking, and finally reaching a stable state, and (IV) initial accelerated sinking, followed by decelerated sinking, and finally accelerated sinking until collapse. A new method for predicting the dynamics of overburden settlement in mined-out areas is proposed based on the relationship between the settlement time, space, and volume. A dynamic prediction model of the settlement dynamics in the mining overburden in a mined-out area was constructed, which can predict the settlement patterns of various types of mine overburden. Finally, the results predicted by the model were validated by real engineering cases and were found to be in good agreement with the actual test results. [ABSTRACT FROM AUTHOR]

This paper presents a new method for bending analysis of moderately thick viscoelastic plates using elasticity responses at asymptotic times. The displacement vector is approximated utilizing two functions of geometrical parameters and one function of time parameter with an unknown coefficient. The unknown coefficient of time function is determined by solving an implicit equation having little computational cost. Numerical results are compared with other existing results to show the accuracy and efficiency of the present method. Also, the effects of geometrical parameters and material properties on the time-dependent central deflection of viscoelastic Mindlin plates are considered for the first time. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Engineering Geology / Gongcheng Dizhi Xuebao is the property of Journal of Engineering Geology and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Highlights • Valuable databank for the shrinkage strains of LWAC is provided. • Reliable design equations for shrinkage strains of LWAC are formulated. • We ascertained the internal curing effect on the long-term shrinkage of LWAC. • We confirmed that the code equations highly overestimated shrinkage strains of LWAC. Abstract The objective of the present study is to provide a databank and comprehensible design equations for the shrinkage strain curve of lightweight aggregate concrete (LWAC) by using artificially expanded bottom ash and dredged soil granules. A total of 25 concrete mixtures were prepared with regard to the parameters of the substitution level of natural sand for lightweight fine aggregates and water-to-cement ratios. Based on the experimental observations, the time function, and 91-day shrinkage strain as a specific point were formulated by introducing the parameter of an equivalent porosity of aggregates to rationally evaluate the shrinkage strain curve of LWAC. Test results showed that the amount of shrinkage strain at 28 days ranged between 39% and 55% of that measured at 210 days, indicating that the acceleratory period was delayed due to the internal curing effect of lightweight aggregates. The shrinkage strains of LWAC decreased in proportion to the equivalent porosity (P eq) of aggregates, showing that the decreasing rates of the shrinkage strains ranged between 16% and 36% at 3 days, and 21% and 23% at 180 days when P eq value increased from 21.8% to 42.9%. For the proposed equations, the mean and standard deviation of the normalized root-mean-square error values between experiments and predictions are 0.44 and 0.21, respectively, resulting in a better accuracy than the code models (fib 2010 and EC 2) of which comparisons resulted in high overestimation, especially at an early age. [ABSTRACT FROM AUTHOR]

Research’s aims: .To realize : 1. The values of some of Biokinematics variables in the takeoff phase in high jump in Fuasbory method. 2. The values of some of force-time function variables in the takeoff phase in high jump in Fuasbory method. 3. The correlation between the Biokinematics variables and force-time function in the takeoff phase in high jump in Fuasbory method . The researcher has applied the descriptive method for its convenience with the nature of the research . the researcher choose the sample of physical education college students/ university of Mosul The research sample has consisted of (5) in high jump in Fuasbory method as while as the best jumper in all phases on the yaer2011-2012 . Each jumper was given (3) trials in each height according to the international law of track and field games. All the trials were filmed and the best trial was analyzed. The sample subjects have been filmed by using two video cameras that ( 25 ) frame / second in the high speed type Sony Japanese fashion as well as using the force platform of measuring ground reaction force prepared for this purpose . then the researcher extract areas and shapes of force –time function by Planomeetr equipment which measured unlike regular areas . After the analysis was achieved, data were statistically handled by applying SPSS application. Statistical means applied in the research are as follows: (arithmetic mean, standard deviation, Person simple corre1lation coefficient, variance coefficient and percentage). The research Conclusions this : 1 . Has been significant relationship between some of the kinematics variables in time climb phase and angler velocity and circumference velocity and the highest of body mass center of gravity's with some of force –time function like area and time in different phases of ( impact – absorb – push ) in the take-off phase in high jump in Fuasbory method. 2 The less of time and area under the curve of absorb phase has positive inversion on the force –time function variables in push phase ) in the take-off phase in high jump in fuasbory method . 3 . Maximum force of reaction in the hit phase play effective part as the climb phase dependence on the climb force for crossing the bar as well as became highest . 4 . Pluralism the ankle angle of take of leg and the angle of knee to rest on leg the important factor to definition the trunk angle opportunity to realization best achievement in high jump in Fuasbory method . The researcher has recommended the following: 1. Reducing the absorption phase as much as possible in terms of time saving the generated force during the impact phase in order to invest this measure ) in the take-off phase in high jump in Fuasbory method . 2 . . Developing the body angular velocity during the pushing phase for its positive reactions on real in the take-off phase in high jump in Fuasbory method . 3 . Confirmation on the performance as much as possible achievement of force generation associated with velocity to attain the best achievement in high jump with Fuasbory method . 4 . Use the video films style and movement analyzes by coaches and researchers by using modern equipment in order to find out the most important points of developing the technical performance for different activities and high jump one of them .