Mathematical models can help make sense of these unobservable things.

数学模型可以帮助理解这些不可观察的东西。

They enlisted mathematical models to solve the mystery.

为了解决这个谜题，他们建立了一个数学模型。

Mathematical models show factors other than skill can set a few people apart in an already outstanding crowd.

数学模型显示，技能以外的因素可以让一些人在已经很出色的人群中脱颖而出。

I had sort of imagined a very simple mathematical model.

我想象了一个非常简单的数学模型。

That prediction is based on mathematical models and historical data.

这一预测基于数学模型和历史数据。

As it stands now, they're speculative explorations of mathematical models.

目前，这些假说建立在对数学模型推测性的探究之上。

That, mathematical models indicate, might easily cause a hive to collapse.

数学模型显示，这可能容易导致一个蜂群的瓦解。

Well, that is what a mathematical model of a spiderweb sounds like.

没错，这就是蜘蛛网的数学模型发出的声音。

The mathematical models that we've developed so far are incapable of explaining it.

我们目前所开发的数学模型还无法解释它。

Researchers created mathematical models that revealed that the default for gecko feet is non-sticky.

研究人员因此构建了数学模型用于揭开壁虎脚趾平常不具有粘性的这个秘密。

He'll use those data to validate and improve his mathematical flooding model called Tide Watch.

他将利用这些数据来验证和改进他的数学洪水模型——潮汐观察。

The researchers used high-speed imaging of folks coughing and sneezing, along with simulations and mathematical models.

研究人员使用高速动态扫描成像记下人们咳嗽和打喷嚏的全过程，之后进行数据模拟和模型分析。

For instance, the data is generated by a mathematical model, saying this is at least in theory possible.

比如，这些数据由数学模型得出，表明这至少在理论上是可能的。

The main issue is that in our mathematical models, these materials are often defined to be too perfect.

主要问题是，在我们的数字模型中，这些材料通常被定义的，过于完美。

Neptune was predicted to exist before it was actually discovered using similar mathematical models back in 1846.

早在 1846 年，在海王星被真正发现之前，人类就已经用类似的数学模型预测了它的存在。

It studies these populations, in the past, present and future, using quantitative data and mathematical models as tools of analysis.

它在过去、现在和将来研究这些种群，使用定量数据和数学模型作为分析工具。

All of these are biological problems where mathematical models can help describe and predict what we see in real life.

所有这些都是生物学问题，数学模型可以帮助描述和预测我们在现实生活中看到的东西。

That said, cosmologists are pushing the limits of mathematical models to speculate on what, if anything, exists beyond our spacetime.

然而，宇宙学家还在 将数学模型的极限向外推，来推断在我们的空间时间之外 有什麽存在（如果有的话）。

The researchers then created mathematical models to compare the amount of green spaces around the schools with the test scores.

研究者然后制作数学模型来将测试结果与学校周围的绿色空间量进行对比。

In 2016,2 researchers at the California Institute of Technology came to a startling conclusion based off of mathematical and computational models.

2016 年，加州理工学院的两名研究人员根据数学和计算模型得出了一个惊人结论。