So this is specifically targeted at solving floating point equations.

所以这主要是用来解决点方程的。

So what did we do? We're using the fact that, you know, we have a gigaflop sitting here.

所以我们怎么做的呢？我们用到了千兆次点运算。

EFLOPS is a unit of the speed of computer systems, equal to one quintillion floating-point operations per second.

EFLOPS表示每秒执行一千万亿次的点运算。

Plus, rounding errors are inherent in floating point computations.

此外，点计算中固有地入误差。

So there's for a 32-bit float, or a 16-bit float, or a 16-bit integer.

所以对于32点，或16点，或16。

But this post-training world is where all the flops are going to be spent, right?

但正是这个训练后的阶段，才是所有计算量（点运算）消耗的地方，对吧？

It's not a big deal if they have teraflops of whatever.

他们有多少万亿次点运算能力并不重要。

A good GPU can do teraflops today.

如今，优秀的 GPU 可以实现万亿次点运算。

Or maybe floating point values, like 3.14159, or other such values.

或者是点值，比如3.14159，或者其他类似的值。

Similarly, a double is like a floating point value.

类似地，double类似于点值。

Essentially value types like bytes, ints, floating points, simpler data types.

本质上是值类型，如字节、、点、更简单的据类型。

I'll invoke instantiateEntity and then pass in a float 3, 4, 0, 4.

我将调用 instantiateEntity，然后传入点 3、4、0、4。

Several methods have been developed to represent floating point numbers.

已经开发了几种方法来表示点。

Python doesn't have a natural, it's just one integer, it's one float.

Python 没有自然类型，它只是一个，一个点。

And so imagine porting floating point programs when the floating point didn't do the same thing.

想象一下将点程序移植到点运算行为不同的系统上的情景。

You know, it's sort of like the floating points, Pharoah Sanders album of twenty twenty four.

你知道，这感觉就像是2024年的点专辑，菲拉奥·桑德斯的那张。

It's going to become less efficient and flops is going to be less of a useful term.

效率将会降低，而点运算次（flops）这一指标的实用性也会随之减弱。

Percent f is going to be for a floating point value.

百分比f是一个点值。

These are called " floating point" numbers, because the decimal point can float around in the middle of number.

这些被称为“点”字，因为小点可以字中间动。

And I'm doing some floating point arithmetic, ultimately.

最后，我做一些点运算。