查询词典 mathematically

Though the Waddington and von Bertalanffy programs have not been confirmed in the typical accomplishments and representations in molecular biology in general, and molecular genetics in particular, there are interesting advances that fall between those searches for broad theories couched in mathematically precise differential equation form, and the narrow classes of mechanisms, usually described in qualitative multilevel causal language, that constitute the vast majority of current biomedical explainers.

Waddington 和 von Bertalanffy氏方法，尽管其贡献和代表性并没有在一般意义上得到分子生物学或者在特别意义上得到分子遗传学的确认，但还是在以下方面产生了有益的进展，即，它使我们的广泛的理论搜寻进步到精确的数学微分方程式的形式和通常以定性的多级因果语言来描述的机理的狭窄类别之间，由此构建了当代生物医学因果辨析的主体内容。

First, the paper presents mathematically the existence of a solution in the weak formulation of SBV space.

首先在数学上指出了 MS泛函弱解在 SBV函数空间中的存在性，然后讨论了计算弱解的数值逼近方法。

It is mathematically proved that every game is winnable.

这是数学上证明，每场比赛胜利，是的。

Establish the melting model of solid pieces posterior to the breakup in the later stage of the melting zone, and mathematically deduce the equation calculating temperature field of broken solid pieces.

提出了熔融后期固体床破碎后碎块熔融模型，数学推导求出碎块温度分布的计算公式。

The system is described mathematically on the basis of mass balance, energy balance, and phase equilibrium. The model of process simulation of the AHT system is set up. The solution system of mathematical model of absorption cycles was put forward.

对吸收式热变换器的基本原理和行为特征在系统层次上进行了分析，进而根据质量平衡、能量平衡和相平衡方程对系统进行数学表述，建立了系统的过程模拟模型，并提出了AHT吸收循环数学模型的求解机制。

Variation of sensitivity during determination can be calibrated mathematically through monitoring the peak of ArAr.

在测定过程中灵敏度的变化可通过监测ArAr质谱峰的变化进行校正，并建立了数学校正公式。

For each patient, a 3D reconstruction of the spine was obtained from calibrated biplanar radiographs.3 The reconstructed models were then used to compute 4 indices of the thoracic segment: the Cobb angle, thoracic kyphosis (measured from T4–T12), axial rotation of the apical vertebra, and the orientation of the plane of maximum curvature with respect to the sagittal plane.22,2 Measurements of coronal and sagittal plane curvature were based on a curve fitted mathematically through the centers of the vertebrae.

对冠状面和矢状面的角度测量基于通过椎体中心的合适的曲度数学计算。

The main achievements of the project are as follows: 1 the hypothesis that a decrease in seed mass causes an increase in mean dispersal distance has been tested based on the experiments of weed dispersal by wind. The experimental results partly support the hypothesis. The results will help farmers to make an optimal strategy of weed control; 2 a statistic method for inferring probabilistic distribution function of a random variable has been developed, by which probabilistic distribution functions of weed species dispersal have been determined; 3 the reproduction structure of Bromus sterilis has been studied; 4 a more complex CA model with 25 neighborhood cells were built, which can simulate spread of a weed population. This work promotes developments in both theory and application of CA models; 5 the "mean law" in weed control has been proposed. Accordingly, the algorism of patch spring may be calibrated; 6 the "patch" and "true patch" have been mathematically defined so that herbicide can be efficiently applied; 7 simulation validates that initial configurations of weed will affect dispersal of its population and strategies of controlling it, or its distribution patterns affect its dispersal progresses.

主要完成的工作和取得的成果有：1）用实验证实了重量较轻的杂草种子并不一定飞得比较重的远，其结果有助于农民制订杂草的优化控制策略；2）发展了一种推断随机变量分布函数的统计方法并用它来获得了几个杂草种的扩散分布函数；3）对杂草Bromus sterilis的繁殖结构进行了研究；4）建立了一个具有25邻的较复杂的能模拟杂草扩散的CA模型，并在理论和应用方面促进了CA模型的发展；5）在杂草控制方面提出了&平均法则&，据此可对按块施药方法进行校正；6）精确地定义了&块&和&真块&以便在杂草控制中能更有效地使用除草剂；7）模拟证实杂草种群的初始配置影响其扩散和控制策略，或者格局影响过程。

In 1991, a young Italian scientist, Walter Fontana , showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特·方塔纳从数学角度阐述了功能A产生功能B，B再产生C这样的线性序列很容易环绕，并以控制论的方式构成自生的闭环，这样最后的功能就参与初始功能的产生。

In 1991, a young Italian scientist, Walter Fontana, showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特丰塔纳从数学角度阐述了功能A产生功能 B ，B再产生C这样的线性序列很容易环绕，并以控制论的方式构成自生的闭环，这样最后的功能就参与初始功能的产生。

We have limited budget let me know if you can do this competitively.

我们有限的预算让我知道如果你能做到这一点竞争力。

We don't know how other critters breathe--lizards, for example.

我们还不知道诸如蜥蜴之类的动物如何呼吸。