查询词典 Fermat

For obtaining a formula for the local traveltime computation, we invoke the Fermat principle and a condition for limiting the position of the incident point.

为了得到局部走时计算公式，利用费马原理和关于入射点位置的限定条件。

The main contents include the ray phenomenon and its generation conditions; the deduction and physical illumination of wave action conservation equation and wave number conservation equation; ray theory for sinusoidal waves; Fermat's principle; the variation of amplitude in the case of straight and parallel depth contours and circular depth contours; the amplitude near the caustics; wave trapping; deduction of mild-slope equation and the relevant numerical solution methods.

讲授折射现象及其发生的条件；波作用守恒方程和波数守恒方程的推导及物理解释；稳恒正弦波的控制方程及射线方程；费马原理；利用射线方程研究等深线是平行直线和圆周线时波振幅的变化，特别是焦散线附近波高的变化以及由此而产生的波的俘获；缓坡方程的推导及有关的数值求解方法。

The concept of exponential transformations of rectangular Cartesiancoordinates is introduced, showing that a plane curve is more frequently expressed by a unionof four or fewer quadrantal equations defined uniquely in the respective quadrants whichthe curve covers and are therefore quadrant invariant, then the Fermat curve s with someof their geometric properties are formulated.

引入直角笛卡儿坐标幂变换的概念，说明一平面曲线是较经常地用4个或更少的象限方程的并集来表示的；这些象限方程是在曲线所在的各个象限中惟一定义的，因而是象限不变的。然后列出费马曲线的方程，并简述了费马曲线的一些几何性质

Its most advantage is: it is suitable for any complex geology structure, the"iterative"ray tracing method is based on Fermat"minimum travel time principle", it uses Taylor expansion and finds the solution segmentally and iteratively, then modifies the initial ray path.

迭代射线追踪方法是根据Fermat最小旅行时原理，应用Taylor展开，分段迭代求解，再逐次修改初始射线路径，完成全射线路径的迭代求解过程，其最大优点是计算的速度快，追踪射线效率高。

Snell's law follows from Fermat's principle.

斯奈尔定律遵从费马原理。

A general formula for three dimensional refraction of progressive gravity water waves has been derived using the conservation of waves, which has a form the same as that derived using Fermat's principle in optics. For the case of gentle sloping plane beach the formula can be degenerated into the famous Snell's law.

三度空间中前进波浪的折射现象，已依波浪守衡性的本质简明地导述出其主控的通式，且与由较繁冗的光学之Fermat原则所得者完全一致；而最简单的均匀缓坡度底床的特例情况则退化成Snell定律者。

Some of the oldest open problems in mathematics relate to the abundancy index of a number. Are there infinitely many perfect numbers? Does there exist an odd perfect number? Does there exist an odd multiply perfect number? Such questions have been considered for well over two millennia by the likes of Euclid, Fermat, Descartes, Mersenne, Legendre, and Euler.

暑期的数学研究已渐渐步入正轨，今天上午和导师讨论的时候提出了第一个conjecture，说是虽然6和12的倍数的abundancy index比较高，但是如果把两个相邻的数字相乘，他们乘积的abundancy index总体来说会甚至更高。

According to Fermat's theory and variational calculation, the mathematical model of sound path in dissymmetrical temperature field is established. Furthermore, the sound path equation is solved.

根据Fermat原理和数学变分方法，建立了非均匀温度场中的声传播路径的数学模型，并求出声线方程。

If you hope the certificate, when seeks for the Fermat's theorem with ten year the primary proof defeat to be possible to come back, you definitely may prove, from the Maxwell time, these smatters to mathematics the human in starts with more and more complex mark cover mathematics thought insufficiency, hides constructs the natural law in the studio, gains God's favor.

如果你希望证明，当用十年的时间寻找费马大定理的初等证明的失败可回来，你完全可证明，自麦克斯韦时代起，那些对数学一知半解的人就在开始用越来越复杂的符号掩盖数学思维的不足，躲在书房里构造自然规律，获取上帝的宠幸。

The paper is to prove the refraction on two kinds of medium interfaces of electric displacement line using the boundary condition of the electric field and Fermat Principle.

利用电场边界条件和费马原理证明电位移线在两种介质界面上的折射。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。