他将风力公式应用到他的模型中，并假定树枝受到风力作用而断裂的概率是恒定不变的，据此他推导出了达·芬奇公式。
When he plugged that wind-force equation into his model and assumed that the probability of a branch breaking due to wind stress is constant, he came up with Leonardo's rule.
假定你出版了一部大学教材，里面有大量的数学公式和化学表达式。
Need more convincing? Imagine you have a college text laden with math and chemical formulas.
在阶段性地展示了建立此模型基本假定的过程后，给出了风险保费与预测值的可信性估计的简明公式。
After the procedure used to establish the basic assumptions for this model is shown, the concise formulas of credibility estimator for risk premium and prediction are given.
具原因在于公式推导中假定地层是均质的、流体做单相流动等。
The reason is that the derived equation assumes the formation is homogeneous and fluid flow is single phase.
该算法一般假定淡水流体和特定的响应公式。
The computations assume a particular fluid, usually fresh water, and particular response equations.
利用概率论的理论，推导出了某一假定证券市场中有限周期买入期权的三项式期权定价公式。
Through the theory of probability, we show the formula of the trinomial option pricing model for finite periods in a stock market.
目前针对泥石流冲击压力的计算公式均假定泥石流体为连续流体。
At present, several formulas of impact load about debris flow in common use are based on the hypothesis that debris flow is continuous flow.
假定粒状材料是均匀的D维分形体，由此导出粒状材料的抗张强度公式，并用来估算颗粒在给定压力下的破碎几率。
The tensile strength formulas of granular materials are derived under the assumption that granular materials are D-dimension fractal bodies.
目前，已有的计算界面应力公式都是在弹性理论基础上假定应力沿胶层厚度为常量，并且，忽略了板条端部的应力奇异现象而得到的。
The available calculation for the interfacial stresses is established on the basis of the elastic theory, assuming the stresses over the depth of the adhesive as constants.
在假定水不可压缩的情况下，利用已有的相关公式推导了单位弹性释水系数与土层压缩模量、变形模量之间的关系。
Given the incompressibility of water, a relation between specific elastic storage, compressibility modulus and deformation modulus was inferred by applying current related formulas.
目前灰色系统理论在建立GM（1，1）模型时通常采用假定拟合曲线通过建模数据第一点来确定积分常数，从而得到预测公式的方法。
When grey systematic theory at present set up GM (1 , 1 ), it assumes that fit curve passes the first point of modeling data to confirm the integral constant, thus obtained to forecast formula.
通过简单的假定，由纯粹的数学论证推导出橡胶高弹性的储能函数公式，在橡胶大形变时，公式比统计理论的更能反映客观实际。
Based on simple hypotheses, the Mooney function of rubber elasticity can be obtained by means of pure mathematical analysis, which is more suitable for rubber elasticity in large elastic deformation.
在假定支付连续的红利率和定期支付的条件下，得到了两种情况下欧式看涨期权与看跌期权的定价公式及其它们之间的平价公式。
Under the hypothesis of continuous dividend, if the continuous dividend rate isp, and regular payment dividend, we get European call and put option pricing formula and their parity.
最后，在假定结构疲劳寿命服从威布尔分布的基础上，推导了相应的疲劳可靠度公式。
Finally, given that the structure fatigue longevity obey the Weibull distribution, thefatigue reliability formula can be deduced.
利用该公式和一些假定，对节点延性的计算方法进行了探讨。
The method of calculating the joint ductility is studied employing the empiric equation and some assumptions.
本文在分析试验获得的不同恒定温度下砼应力—应变曲线的基础上，通过假定，提出了映射温度流动路径，给出了具体的计算公式，并进行了试验验证。
From the analysis of the test results, the method of determining temperature increment path, shining temperature flowing path, is presented and relative formulas are given.
对RC梁正截面设计公式进行了深入的研究，根据平截面假定推出了受压区高度很小时梁配筋量计算的公式，并与规范公式进行了比较。
Based on the plane hypothesis, a set of formulas were derived for the design of RC beams with very small depth of compression zone.
为提高精度，在渐变应力比突变应力更符合实际的基础上提出应力在各时段内线性变化的假定，在此假定下推导了应力计算的一般公式，用于实测应变资料的分析计算。
Based on an analysis of the sources of errors, a linear variation of the stress at each stage was assumed, and a general formula for stress calculation was deduced.
摘要在托马假定前提下，从调压室基本方程入手，推导复杂尾水系统的尾水调压室稳定断面计算公式，并通过工程实例进行验证。
Based on thoma supposition and basic equations of surge tank, a few formulas were proposed for the stable sectional area of tailrace surge tank on complicated tailrace system.
为探索震前声发射的方向与地震的关系，假定声速仅与深度有关，在这种条件下得到的方向公式应该与恒速条件下得到的方向公式一致。
For exploring the direction of acoustical emission sources prior to earthquakes, assuming that the sound velocity is only dependent on depth, a formula of sound source direction can be derived.
可以如18世纪的数学所假定的那样，用公式来建立，但同样也可以用统计表那样的表格或用某种其他的描述方式来建立。
It may be done by a formula as the 18th century mathematics presumed but it can equally well be done by a tabulation such as a statistical chart, or by some other form of description.
在采用合理假定及计算模型的基础上，推导出新型组合梁受弯承载力计算公式，计算结果与试验值比较接近。
The use of reasonable assumptions and calculation model based on the new composite beam is derived bending capacity the calculated and experimental values are close.
可以如18世纪的数学所假定的那样，用公式来建立，可以如世纪的数学所假定的那样，用公式来建立，世纪的数学所假定的那样但同样也可以用统计表那样的表格或用某种其他的描述方式来建立。述方式来建立。
It may be done by a formula as the 18th century mathematics presumed but it can equally well be done by a tabulation such as a statistical chart, or by some other form of description.
可以如18世纪的数学所假定的那样，用公式来建立，可以如世纪的数学所假定的那样，用公式来建立，世纪的数学所假定的那样但同样也可以用统计表那样的表格或用某种其他的描述方式来建立。述方式来建立。
It may be done by a formula as the 18th century mathematics presumed but it can equally well be done by a tabulation such as a statistical chart, or by some other form of description.
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