查询词典 mathematically

The bottom row consists of a single vector icon, originally sized at 24 24 pixels, then scaled mathematically to the other sizes shown.

下面那排仅由个单独的矢量文件生成，原始尺寸是24×24，然后按精确比例表示其它尺寸。

Making students learn to ruminate is a requirement for the education of " Know How to Learn ". Rumination is an important embodiment of the Constructivism Theory in teaching activities . It not only optimizes students mathematically-thinking quality but also is an effective way for them to improve their cognition .

培养学生的反思能力是"学会学习"教育的需要，反思是建构学说在教学实践中的主要体现，反思有利于优化学生的数学思维品质，反思是提高学生元认知能力的有效途径。

In the mathematically rigorous formulation of quantum mechanics, developed by Paul Dirac and John von Neumann, the possible states of a quantum mechanical system are represented by unit vectors (called "state vectors") residing in a complex separable Hilbert space (variously called the "state space" or the "associated Hilbert space" of the system).

在保罗·迪拉克和约翰·万·诺埃曼创立的严谨的量子力学数学公式里，用停留在一复杂可分的希耳伯特空间(很多地方称作"状态矢量空间"或与系统有关的希耳伯特空间)单位向量来描绘量子力学系统的可能状态。

It is further shown that this 2-D polynomial EM-based algorithm for time-varying OFDM can be simplified mathematically to handle the one-dimensional sequential estimation.

PEMTO算法在数学上进行简化后，可以用来进行一维序贯信道估计。

Using the perturbation method and Stroh's formula, a nonideal crack, which is mathematically sharp and the opposing crack faces still have a gap in which a stiffless dielectric fills, the two-field problem is reduced to a standard Riemann-Hilbert problem. The internal electric field distribution is obtained by solving a singular integral equation, and then the full field both inside and outside the crack is obtained and the electro-mechanical intensity factors to the first order of accuracy are given.

采用摄动方法对裂尖理想尖锐而裂纹面又具有一定张开的非理想裂纹进行分析，裂隙内含有无刚度的各向同性电介质，利用Stroh公式，将二域问题化为标准的Riemann-Hilbert问题，裂隙内电场分布通过解一个奇异积分方程获得，从而得到裂纹内外的力电全场分布，进而给出一阶精度下的力电强度因子的表达式。

The measurement accuracy of the photoelectric theodolite is decided based on measurement requirement of the ballistic trajectory. Two simple equations were derived mathematically, one expression for positioning error of the ballistic trajectory, angle error of the photoelectric theodolite, ranging error, target slant range and height when one instrument is used, another expression for positioning error of the ballistic trajectory, angel error of the photoelectric theodolite, target slant range and intersection angle when two symmetrical intersection instruments are used.

通过数学解析的方法，推导建立了2个简洁的公式：1）单站定位体制下弹道点位精度和光电经纬仪测角、测距精度以及目标斜距、高角之间的数学表达式；2）对称交会测量体制下弹道点位精度和光电经纬仪测角精度以及目标斜距、交会角之间的数学表达式。

Because they couldn't mathematically determine a "perfect" solution, the researchers decided to task the slime mold with a problem human designers had already tackled.

由于科学家无法从数学上判断哪个方案最完美，所以他们决定让黏菌挑战一个人类设计师已经解决的难题。

Based on a graphical stability criterion in parameter space, the range of proportional-gain is given. For both stable and unstable open-loop plants, the stabilizing region in integral derivative space is plotted and determined directly, not to be calculated mathematically.

基于参数空间的图解稳定性准则，在已知比例增益范围的前提下，针对稳定和不稳定开环对象，直接在积分－微分参数空间绘制和确定稳定区域，避免了复杂的数学计算。

Bear in mind also that the outstanding notional stock of derivatives has soared to more than $1/2 quadrillion over this horizon, representing an extra $1.7 million haystack in which to search for the poisoned needle of mathematically-abstruse, systemic risk for each and every, readily-valued, new ounce of metal brought laboriously up from the Stygian gloom and into the broad light of day.

还有一点也要引起重视，衍生品市场的名义净持仓已增加到了500万亿美金以上，这相当于在价值170万美元的干草堆中寻找每一根针鼻那么大的金子，也就是不辞辛劳、苦苦搜索那每一盎司新开采出来的黄金，这些玩意儿被人们从黑暗的地狱中找出来，现如今终于来到光天化日之下。

Any order approximate solution of the equation was presented, and its convergence was mathematically proved by the successive approximation method.

采用逐次逼近法，求得任意阶近似解，并证明解的收敛性。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。