Are there infinitely many Fibonacci primes?
Are there infinitely many prime Fermat numbers?
But are there infinitely many prime Fibonacci numbers?
One or infinitely many.
How do you prove that there are infinitely many primes?Combinations with other parts of speech
In principle, we can conjure up infinite number of rules to calculate ri.
Do you think there are infinitely many prime Fibonacci numbers?
He proved that there must be infinitely many prime numbers.
Today, teenagers are infinitely more well-informed.
He showed that there are infinitely many prime numbers.
Are there infinitely many Fermat composites?
Euclid proved around 2000 years ago that there are infinitely many prime numbers.是否存在无穷多个规则素数,且其分布密度是e-1/2{\displaystylee^{-^{1}\!
Are there infinitely many regular primes, and if so is their relative density e- 1/ 2{\displaystyle e^{-1/2}}!
There are infinitely many different nontrivial solutions to the Diophantine equation[6].因为n可以取任意整数,例如n=2或者n=5,所以这个公式隐性地包含了无穷多个命题。
Since we may substitute any integer whatsoever for n, for example n= 2 or n= 5,this formula implicitly contains infinitely many propositions.多年前,古希腊数学家欧几里德最先证明了素数在自然数中有无穷多个。
Over two thousand years ago,the Greek mathematician Euclid showed that there are infinitely many prime numbers.例如,在傅里叶分析中,刺激写成无穷多个正弦波的叠加。
For example, in Fourier analysis,the stimulus is written as the superposition of infinitely many sinusoids.这样,与完全竞争概念相容的数学模型,就必须包含无穷多个参与者。
Thus, a mathematically model appropriate to the intuitivenotion of perfect competition must contain infinitely many participants.树有无穷多个分支,它们本质上是线性递归序列(而无穷多个则不是)。
The tree has infinitely many branches which are essentially linear recurrence sequences(and infinitely many which are not).这样人们就提出了问题,这种素数对在自然数里是有有限多个,还是有无穷多个??
The question is, given such an equation, are there just a handful of solutions in rational numbers,or are there infinitely many?目标空间为无限维射影空间的拓扑σ-模型--若此模型能被成功定义--将拥有可数无穷多个自由度。
A topological sigma model with target infinite-dimensional projective space, if such a thing could be defined,would have countably infinitely many degrees of freedom.但是,如果误差足够大,就会有无穷多个分母产生一个很好的近似分数。
But if the errors are big enough, there will be infinitely many denominators that create a good approximating fraction.古希腊数学家亚历山大的欧几里德第一个证明了存在无穷多个素数的,通过下面的论证:.
The ancient Greekmathematician Euclid of Alexandria first proved that there are infinitely many prime numbers, using the following argument:.是A的矩阵对数。因此,矩阵A具有无穷多个矩阵对数。这意味着旋转的整数倍会回到初始位置。
Is a logarithm of A. Thus, the matrix A has infinitely many logarithms. This corresponds to the fact that the rotation angle is only determined up to multiples of 2π.
Clark has an infinite number of ping pong balls, and Bruce has none.年前,古希腊数学家欧几里得就已证明素数有无穷多个。
Over two thousand years ago,the Greek mathematician Euclid proved they were infinite in number.它拥有无穷多个房间,这些房间通过黑洞伸展到更高级的时空领域。
It has an infinite number of rooms that extend through a black hole into a higher dimen- sion.这一巨大的结构是由无穷多个宇宙组成的,其中每一个宇宙都可以产生无穷多个“子宇宙”。
This vast structure is made up of an infinite number of universes, each of which can spawn an infinite number of daughter universes.