These are all mathematical tools for getting our heads around numbers.

这些都是让我们了解数字的数学工具。

I'm going to make sure we have a couple of mathematical tools in our belt.

我要确保我们有几个数学工具。

Today you've learned some mathematical tools to help us make more efficient use of equilibrium reactions in real life.

今天，您学习了一些数学工具， 可以帮助我们在现实生活中更有效地利用平衡反应。

He also invented calculus, a supremely powerful mathematical tool which has been used over the centuries to derive new physics.

他还发明了微积分，这是一种极其强大的数学工具，几个世纪以来一直被用来推导出新的物理学。

The neural networks that power them are flexible mathematical tools, capable of finding any pattern, fitting any shape and drawing any line.

为它们提供动力的神经网络是灵活的数学工具，能够找到任何模式、拟合任何形状并绘制任何线条。

VOICE OVER: The team applied a mathematical tool based on a simple geometric principle: that certain triangular angles stay the same in different positions within a sphere.

画外音：该团队应用了一种基于简单几何原理的数学工具：某些三角形的角度在球体内的不同位置保持不变。