带你进入梦幻般的几何世界！
现象世界，也就是我们所感知的世界，必须符合欧几里德几何学的发现。
The phenomenal world, that is the world that we experience must, for example, satisfy the exhumes of Euclidean geometry.
曾几何时，游客们中的绝大多部可能会同意世界源起于公元前4004前，或更确切地说，最初点便是那年的10月23日星期天。
At that point, most of the visitors would probably have agreed that the world had begun in 4004 BC, to be precise at the very beginning of Sunday 23 October.
这些雷达资料，能够轻轻松松地产出环境世界的形貌，是因为他们直接将周遭环境用等高线地图呈现出来；一台相机先间接捕捉了环境型态的几何资讯。
The shape of the world pops out easily from laser data because they represent a direct contour map of the surrounding area.
康德和其他所有这些哲学家都曾以为，几何学使我们得以洞悉世界存在的方式。
Kant and all these others had assumed that geometry does give us pure insight into the way the world is.
曾几何时这个世界对我们有着广泛的怀疑和不信任，但一旦涉及到“钱”，即便是最苛刻的批评者也倾向于认为我们深谙此道。
We've been viewed by the wider world with mistrust and suspicion on other matters, but on the subject of money even our harshest critics have been inclined to believe that we knew what we were doing.
强烈的颜色和几何图形非常有感染力，容易记忆和识别，整个构图代表了全世界儿童。
The strong colours and geometric shapes are powerful and easy to remember and identify, and the whole composition makes reference to the world of children.
当时的数学可以对付一个一成不变的理想世界——想想几何原理，但没有考虑运动。
The math of the time could deal with a changeless, ideal world - consider the principles of geometry - but not with motion.
几何学——存在于物质世界之外的理想形式的概念。
Geometry - the idea of ideal forms existing outside the physical world.
在二维和三维的几何结构有大量的自然世界，从复杂的晶体形状海星，硅藻的单细胞有机体，像。
Geometric structures in two and three dimensions abound in the natural world, from complex crystal shapes to starfish, and unicellular organisms like diatoms.
假设物体和目标的世界坐标已知，那么广告牌技术将会是一个简单的几何操作。
Assuming that both the objects and target positions are known in world coordinates, then billboarding becomes a simple geometrical operation.
颠簸的车程和喧闹的餐厅曾几何时是我这书虫的天敌，而如今只要一对耳机挂在耳畔，那整个世界就顿时成了我的私人书桌。
Bumpy rides and clamoring restaurants used to be my worst nightmare, but as soon as I grabbed a headphone set, the world became my very own desk.
如果物体通过几何变换而被放置在世界坐标系中，比如通过平移和旋转，那么视图跟踪他在世界坐标系中位置变换的轨迹可能会是一个艰难的工作。
If the object is positioned in the world through geometric transformations, such as translations and rotations, then keeping track of its position in world coordinates can be a hard task.
对童年世界的虚构的内涵也表现在设计和家具方面，这些家具呈几何形状，有趣而实用，满足这座多媒体图书馆所需要的不同用途。
Connotations of the imaginary world of childhood are also seen in the design and the furniture which is geometrical, fun and functional, responding to the different USES that the media library offers.
几何作为世界上最早的教育科目之一，其历史是非常悠久的。
As one of the oldest educational subjects, geometry has a long history which is spectacular.
确实以抽象形式来说，这些作品运用了大胆的色彩和几何图形创造出充满怪异音符和奇特人物的异想世界。
True to the abstract form of art, this collection utilizes bold colours and geometry to create a fantasy world full of whimsical musical notes and convoluted beings.
我们生活在一个知识以几何速度增加并在同时变得更加专业化的世界里。
We live in a world where knowledge is accumulated by multiplying and at the same time becomes more and more specialized.
建筑是用几何空间来表现世界的艺术。
Architecture is the art that displays the world with geometric space.
普拉姆伯格的“白金触感装置”的几何排列提炼出前辈的精华，有效地提升了触感特性与力度变化的世界标准。
The geometry of the Pramberger Platinum Touch Action? refines the virtues of its predecessors and effectively raises the world standard for touch characteristics and dynamics.
感谢上帝，我终于在现实世界中找到几何学的用武之地了。
You don't know how thankful I am to have finally found a use for geometry in my daily life.
当今世界科学技术日新月异，知识的更新以几何级数激增。
Science technique in the world change with each passing day nowadays and the renewal of knowledge be surge with geometric progression.
分形理论作为一种描述客观世界的几何工具，在短短的时间内已成功应用于许多学科。
As a mathematic tool of modeling natural geometry, fractal theory has been found wide applications in varied fields with great success.
曾几何时，你飞入了别人的世界。
曾几何时，这世界的不公给了我那么多的理由去憎恨它，但是现在这美丽的世界把你给了我，我怎么能够再去憎恨它？
I used to think that the world is so unfair, that it gave me so many reasons to hate it. But now, how can I hate such a wonderful world that gave me you?
作品中有许多几何形的图案与面孔，代表着世界多元的文化，是人类这个大家庭把这些不同的文化融为一体。
So my works contain various geometric shapes and faces, representing the world's different cultures, united by the circle that symbolizes humanity.
利用世界各地的范例，详细讨论河成油藏几何图形和构造样式的关键几个方面。
The critical aspects of fluvial reservoir geometries and architectural patterns are covered in detail, using worldwide examples.
分形理论揭示了世界的本质即部分与整体的自相似性，它被誉为大自然的几何学。
The world hypostases (that is, self-similarity of the part and the whole in a system) is revealed with fractal theory which is known as the geometry of nature.
分形理论揭示了世界的本质即部分与整体的自相似性，它被誉为大自然的几何学。
The world hypostases (that is, self-similarity of the part and the whole in a system) is revealed with fractal theory which is known as the geometry of nature.
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