代数几何学 oor Engels

代数几何学

Vertalings in die woordeboek Sjinees - Engels

algebraic geometry

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因为导航和大面积精确地图的需求驱动,三角几何学成长为数学的一个重大分支。
Driven by the demands of navigation and the growing need for accurate maps of large geographic areas, trigonometry grew into a major branch of mathematics.

反过来,斯科特域在一定意义上"几乎"就是代数格。
Consequently, Scott domains are in a sense "almost" algebraic lattices.

此外,在研究几何学、三角学和航海学方面,阿拉伯学者也大有贡献。
Arab scholars also made great strides in geometry, trigonometry, and navigation.

今晚 我们 " 补习 代数 " 罗斯福 酒店 9 点钟
We're studying algebra tonight, Roosevelt Hotel, 9:00.

起先时代的特色是使用组合拓扑(今日代数拓扑的先驱)。
The future tense is distinguished from the present tense by the use of prefixes.)

广义范畴论随后产生,且更容纳了语意灵活性和高阶逻辑等多种新特征的泛代数,现在被运用到数学的所有分支。
General category theory, an extension of universal algebra having many new features allowing for semantic flexibility and higher-order logic, came later; it is now applied throughout mathematics.

将问题重新表述成多重线性代数术语是有好处的,这里有清楚的和良定义的“最好解”:解的限制恰好是你事实上所需要的。
Its benefit is that by re-expressing problems in terms of multilinear algebra, there is a clear and well-defined 'best solution': the constraints the solution exerts are exactly those you need in practice.

事实上因为R是带有乘法的所有正实数的李群的李代数,实数参数的常规指数函数是李代数下的特殊情况。
In fact, since R is the Lie algebra of the Lie group of all positive real numbers under multiplication, the ordinary exponential function for real arguments is a special case of the Lie algebra situation.

那时我仍然继续我的初步思索,这种思索是关乎几何学多于艺术的,但思潮却被一句纯正意大利口音的话所打断。
I was still intent on my elementary considerations, which had more to do with geometry than art, when my thoughts were interrupted by a voice with a typically Tuscan pronunciation.

所有卫星图像都由土壤科学和土壤保持研究所专家来处理(按几何学方法来纠正)。
All the satellite images were processed (geometrically corrected) by the experts of SSCRI.

挪威人尼尔斯·阿贝尔和法国人埃瓦里斯特·伽罗瓦证明了高于四次的多项式方程不存在通行的代数解法,也就是阿贝尔-鲁菲尼定理。
Niels Henrik Abel, a Norwegian, and Évariste Galois, a Frenchman, proved that there is no general algebraic method for solving polynomial equations of degree greater than four (Abel–Ruffini theorem).

然而,这些运算 在 SQL 中相当重要,因此在现代关系代数中都包含它们。
However, these operations are so important in SQL, that modern treatments of relational algebra include them. 2.3.

一年后,州政府数据显示 我们学生的代数成绩上升了171%, 文学成绩上升了107%。
After one year, state data revealed that our scores have grown by 171 percent in Algebra and 107 percent in literature.

然后格拉斯曼证明一旦几何被置入他所鼓吹的代数形式中,三就不再是空间维数的有特殊地位的数字;可能成为维数的数字是无限的。
Grassmann then showed that once geometry is put into the algebraic form he advocated, the number three has no privileged role as the number of spatial dimensions; the number of possible dimensions is in fact unbounded.

你若研究数学达到成为代数或微积分专家的地步,你会恢复用手指和脚指计数吗?——可参阅彼得后书2:20-22。
If you had studied mathematics to the point of being an expert in algebra or calculus, would you revert to counting on your fingers and toes? —Compare 2 Peter 2:20-22.

二)对于女性,目前的提高标准得以保持;即对于年龄为 # 岁及以下者,每年以 # %的分级标准减少,按直线基础下降;对于年龄为 # 及以上者,每年以 # %的分级标准减少,每年死亡率的减少以几何学为基础,但是标准将应用至 # 年
ii) For females, the current improvement scale was retained, that is, a graded scale with a # per cent reduction per annum for ages # and younger, declining on a straight-line basis, to zero per cent per annum for ages # and older, with the annual reduction in mortality rates being applied on a geometric basis, but the scale is being applied through

因为任何布尔代数都是分配格,这证实了想要的蕴涵。
Since any Boolean algebra is a distributive lattice, this shows the desired implication.

为此,回想下列定理: 对于布尔代数B的任何理想I,下列是等价的: I是素理想。
For this purpose, recall the following theorem: For any ideal I of a Boolean algebra B, the following are equivalent: I is a prime ideal.

典范 Kripke 模型扮演的角色类似于在代数语义中的 Lindenbaum–Tarski代数构造。
Canonical Kripke models play a role similar to the Lindenbaum–Tarski algebra construction in algebraic semantics.

换言之,z是一个不定变量,这使得我们可以在射流上施行各种代数操作。
In other words, z is an indeterminate variable allowing one to perform various algebraic operations among the jets.

一)对于男性,年龄在 # 岁及以下者,每年以 # %的分级标准下降,按直线基础下降;年龄在 # 岁及以上者, 每年以 # %的分级标准下降,每年的死亡率减少以几何学为基础
i) For males, a graded scale with a # per cent reduction per annum for ages # and younger, declining on a straight-line basis, to zero per cent for ages # and older, with the annual reductions in mortality being applied on a geometric basis

所有卫星图像都由土壤科学和土壤保持研究所专家来处理(按几何学方法来纠正)。
All the satellite images were processed (geometrically corrected) by the experts of SSCRI

尽管关系代数对于大多数用途都足够强大了,有一些在关系上的简单而自然的运算不能用关系代数表达。
Although relational algebra seems powerful enough for most practical purposes, there are some simple and natural operators on relations that cannot be expressed by relational algebra.

在Agda中定义数据类型的形式与在其它非依赖类型的编程语言中定义代数数据类型相似。
The main way of defining data types in Agda is via inductive data types which are similar to algebraic data types in non-dependently typed programming languages.

这些思想后来为许多人所发展,都成为同调代数里重要的工具。
Later it was made available to customers and this method became an important tool for many organizations.