bilibili video gpt4 evaluation

b站视频【GPT4测评：全方位碾压ChatGPT！】里提到的GPT Prompt提示词

https://www.bilibili.com/video/BV12v4y1n7LV

视频里AI配音的所有台词见 AI配音台词.txt 文件

模仿《红楼梦》的风格翻译《1984》节选内容

这是小说《1984》的节选内容：

CHAPTER 2 As he put his hand to the door-knob Winston saw that he had left the diary open on the table. DOWN WITH BIG BROTHER was written all over it, in letters almost big enough to be legible across the room. It was an inconceivably stupid thing to have done. But, he realized, even in his panic he had not wanted to smudge the creamy paper by shutting the book while the ink was wet. He drew in his breath and opened the door. Instantly a warm wave of relief flowed through him. A colourless, crushed-looking woman, with wispy hair and a lined face, was standing outside. ‘Oh, comrade,’ she began in a dreary, whining sort of voice, ‘I thought I heard you come in. Do you think you could come across and have a look at our kitchen sink? It’s got blocked up and——’ It was Mrs Parsons, the wife of a neighbour on the same floor. (’Mrs’ was a word somewhat discountenanced by the Party—you were supposed to call everyone ‘comrade’—but with some women one used it instinctively.) She was a woman of about thirty, but looking much older. One had the impression that there was dust in the creases of her face. Winston followed her down the passage. These amateur repair jobs were an almost daily irritation. Victory Mansions were old flats, built in 1930 or thereabouts, and were falling to pieces. The plaster flaked constantly from ceilings and walls, the pipes burst in every hard frost, the roof leaked whenever there was snow, the heating system was usually running at half steam when it was not closed down altogether from motives of economy. Repairs, except what you could do for yourself, had to be sanctioned by remote committees which were liable to hold up even the mending of a window-pane for two years.

请模仿《红楼梦》的写作风格翻译《1984》节选内容。

模仿李清照写诗

写一个python程序，程序绘制sin和cos函数并显示在屏幕上，python代码写在代码窗口里。要求程序的注释模仿李清照的诗词风格，写一个凄美的故事，描绘sin飘渺无踪、cos永恒相随，虽定期交会却永远不能在一起的悲惨之情。任何描述和注释均用诗词来描绘。

风住尘香花已尽，日晚倦梳头。物是人非事事休，欲语泪先流。闻说双溪春尚好，也拟泛轻舟。只恐双溪舴艋舟，载不动许多愁。——宋代·李清照《武陵春·春晚》常记溪亭日暮，沉醉不知归路。兴尽晚回舟，误入藕花深处。争渡，争渡，惊起一滩鸥鹭。——宋代·李清照《如梦令·常记溪亭日暮》薄雾浓云愁永昼，瑞脑销金兽。佳节又重阳，玉枕纱厨，半夜凉初透。(厨通：橱；销金兽一作：消金兽)东篱把酒黄昏后，有暗香盈袖。莫道不销魂，帘卷西风，人比黄花瘦。(人比一作：人似)——宋代·李清照《醉花阴·薄雾浓云愁永昼》生当作人杰，死亦为鬼雄。至今思项羽，不肯过江东。——宋代·李清照《夏日绝句》天接云涛连晓雾，星河欲转千帆舞。仿佛梦魂归帝所。闻天语，殷勤问我归何处。我报路长嗟日暮，学诗谩有惊人句。九万里风鹏正举。风休住，蓬舟吹取三山去！——宋代·李清照《渔家傲·天接云涛连晓雾》蹴罢秋千，起来慵整纤纤手。露浓花瘦，薄汗轻衣透。见客入来，袜刬金钗溜。和羞走，倚门回首，却把青梅嗅。——宋代·李清照《点绛唇·蹴罢秋千》暗淡轻黄体性柔，情疏迹远只香留。何须浅碧深红色，自是花中第一流。梅定妒，菊应羞，画阑开处冠中秋。*人可煞无情思，何事当年不见收。(阑通：栏)——宋代·李清照《鹧鸪天·桂花》年年雪里，常插梅花醉。挼尽梅花无好意，赢得满衣清泪。今年海角天涯，萧萧两鬓生华。看取晚来风势，故应难看梅花。——宋代·李清照《清平乐·年年雪里》落日熔金，暮云合璧，人在何处。染柳烟浓，吹梅笛怨，春意知几许。元宵佳节，融和天气，次第岂无风雨。来相召、香车宝马，谢他酒朋诗侣。(熔金一作：镕金)中州盛日，闺门多暇，记得偏重三五。铺翠冠儿，撚金雪柳，簇带争济楚。如今憔悴，风鬟霜鬓，怕见夜间出去。不如向、帘儿底下，听人笑语。( 一作：捻)——宋代·李清照《永遇乐·落日熔金》绣面芙蓉一笑开，斜飞宝鸭衬香腮。眼波才动被人猜。一面风情深有韵，半笺娇恨寄幽怀。月移花影约重来。——宋代·李清照《浣溪沙·闺情》暖雨晴风初破冻，柳眼梅腮，已觉春心动。酒意诗情谁与共？泪融残粉花钿重。乍试夹衫金缕缝，山枕斜欹，枕损钗头凤。独抱浓愁无好梦，夜阑犹剪灯花弄。——宋代·李清照《蝶恋花·暖雨晴风初破冻》寻寻觅觅，冷冷清清，凄凄惨惨戚戚。乍暖还寒时候，最难将息。三杯两盏淡酒，怎敌他、晚来风急！雁过也，正伤心，却是旧时相识。满地黄花堆积，憔悴损，如今有谁堪摘？守着窗儿，独自怎生得黑！梧桐更兼细雨，到黄昏、点点滴滴。这次第，怎一个愁字了得！（守着窗儿一作：守著窗儿）——宋代·李清照《声声慢·寻寻觅觅》红藕香残玉簟秋。轻解罗裳，独上兰舟。云中谁寄锦书来？雁字回时，月满西楼。花自飘零水自流。一种相思，两处闲愁。此情无计可消除，才下眉头，却上心头。——宋代·李清照《一剪梅·红藕香残玉簟秋》昨夜雨疏风骤，浓睡不消残酒。试问卷帘人，却道海棠依旧。知否，知否？应是绿肥红瘦。——宋代·李清照《如梦令·昨夜雨疏风骤》

用诗词描绘出论文内容

模仿宋代词人放荡不羁的风格来完整描述这篇论文的研究内容，要求押韵。

Demonstration of a superconducting diode-with-memory, operational at zero magnetic field with switchable nonreciprocity Abstract Diode is one of the basic electronic components. It has a nonreciprocal current response, associated with a broken space/time reversal symmetry. Here we demonstrate prototypes of superconducting diodes operational at zero magnetic field. They are based on conventional niobium planar Josephson junctions, in which space/time symmetry is broken by a combination of self-field effect from nonuniform bias and stray fields from a trapped Abrikosov vortex. We demonstrate that nonreciprocity of critical current in such diodes can reach an order of magnitude and rectification efficiency can exceed 70%. Furthermore, we can easily change the diode polarity and switch nonreciprocity on/off by changing the bias configuration and by trapping/removing of a vortex. This facilitates a memory functionality. We argue that such a diode-with-memory can be used for a future generation of in-memory superconducting computers.

Introduction Large computation facilities, such as big data centers and supercomputers have become major energy consumers with a power budget often in excess of 100 MW. It has been argued that a small fraction of this power would be sufficient for cooling down the facility to cryogenic temperatures, suitable for operation of superconductors (SC)1. SC electronics would not only enable effective utilization of energy by removing resistive losses, it could also greatly enhance the operation speed. Since there is no resistance, R = 0, the RC time constant is no longer a limiting factor. The ultimate operation frequency is determined by the SC energy gap. For many SCs it is in the THz range2. This enables clock frequencies several orders of magnitude higher than for modern semiconducting electronics. Such perspectives has lead to a renewed interest in development of a digital SC computer1,3,4,5,6,7.

Diode is one of the primary electronic components. Its nonreciprocal current–voltage (I–V) characteristics allow rectification of alternating currents, which is necessary for signal processing and ac–dc conversion. Diodes can be also used as building blocks for Boolean logics in digital computation. SC diodes should have strongly asymmetric critical currents, ∣Ic+∣ ≠ ∣Ic−∣. It is well known that nonreciprocity may appear in spatially asymmetric SC devices8,9. SC diodes, based on spatially nonuniform Josephson junctions (JJs), were demonstrated long time ago10. Also SC ratchets11, rectifying motion of either Josephson12,13,14,15 or Abrikosov16,17,18,19,20,21,22,23 vortices, were intensively studied. However, such spatially asymmetric devices operate only at finite magnetic fields, while computer components should work at zero field. Nonreciprocity at H = 0 is prohibited by the time-reversal symmetry, which requires invariance of electromagnetic characteristics upon simultaneous flipping of current and magnetic field10,24. Therefore, zero-field SC diode requires breaking of both space and time-reversal symmetry.

Recently it was shown that nonreciprocity can be induced in noncentrosymmetric SC by spin–orbit interaction (SOI)25,26,27,28,29. This renewed search for diode effects in noncentrosymmetric SC25,29,30,31 and heterostructures32,33,34. SOI can induce asymmetry of either resistance in the fluctuation region near Tc25,26,27,29,31,35, or supercurrent at low T32,33,36,37,38,39,40. However, SOI-based diodes require significant magnetic field. In several works zero-field SC diode operation was reported34,37, involving additional nontrivial effects. In this respect, nonreciprocity can be a tool for investigation of unconventional SC35,36,37,38,39,40.

In this work, we demonstrate prototypes of SC diodes with a large and switchable nonreciprocity of supercurrent at zero magnetic field. They are made of a conventional Nb SC and contain cross-like planar Josephson junctions with additional electrodes and an artificial vortex trap. Nonreciprocity is induced by a combination of self-field effect from asymmetric bias and stray fields from trapped Abrikosov vortex (AV). We demonstrate that the ratio, ∣Ic+/Ic−∣, of such diodes can reach an order of magnitude and rectification efficiency can exceed 70%. Furthermore, we can switch nonreciprocity on and off, as well as change diode polarity in one and the same device. This is achieved by trapping/removing either a vortex, or an antivortex, and/or by changing the bias configuration. This facilitates memory functionality. We argue that such a diode-with-memory can be used for a new generation of superconducting in-memory computers.

Results The concept We consider the simplest case of a short JJ with the length L < 4λJ, where λJ is the Josephson penetration depth. This allows neglecting of complex phenomena associated with screening effects and Josephson vortices9,10,41. Realization of zero-field SC diode requires breaking of space/time symmetry. Time-reversal leads to inversion of transport currents and magnetic fields generated by these currents. The role of an external field, H, is somewhat more tricky24. However, since it induces a spatial phase gradient in a JJ, it is connected with the spatial symmetry41.

Our concept has two simple ingredients: (i) Utilization of a nonuniform bias for achieving nonreciprocity at finite fields10; and (ii) Shifting it to zero field by persistent stray fields from a trapped AV41,42,43. These effects are summarized in Fig. 1a and b. Here black lines represent the conventional Fraunhofer modulation of the critical current versus magnetic flux, Ic(Φ), for a uniform JJ without a vortex. In this case, there are both time-reversal, Ic+(H) = ∣Ic−(H)∣, and space-reversal, Ic±(H) = Ic±( − H), symmetries.

根据论文生成PPT文件

Demonstration of a superconducting diode-with-memory, operational at zero magnetic field with switchable nonreciprocity

Abstract Diode is one of the basic electronic components. It has a nonreciprocal current response, associated with a broken space/time reversal symmetry. Here we demonstrate prototypes of superconducting diodes operational at zero magnetic field. They are based on conventional niobium planar Josephson junctions, in which space/time symmetry is broken by a combination of self-field effect from nonuniform bias and stray fields from a trapped Abrikosov vortex. We demonstrate that nonreciprocity of critical current in such diodes can reach an order of magnitude and rectification efficiency can exceed 70%. Furthermore, we can easily change the diode polarity and switch nonreciprocity on/off by changing the bias configuration and by trapping/removing of a vortex. This facilitates a memory functionality. We argue that such a diode-with-memory can be used for a future generation of in-memory superconducting computers.

你是一名研究生，你的老师要求你阅读以上文献，并根据该文献做一个Presentation，汇报内容是该文献的主要内容、思路、创新点，一起你的个人心得。请写一个python程序，根据以上要求生成.ppt文件，文件内容为中文。代码请写在一对```里面，无需写注释！

字符画网站

我想建立一个个人网站。

网页上面一个导航栏，包含一个图片logo，以及四个按钮，登录按钮靠右，视频、文章、关于我按钮紧挨logo。

下面是一幅覆盖整个页面的视频背景，视频背景上覆盖一层浅黑色的遮罩。视频背景中有一个大标题：“探索AI，发现未来”，以及副标题“1_2”，大标题的上下位置整体居中，左右位置靠左。导航栏是透明的，导航栏上的logo以及按钮直接覆盖在视频背景上方。

大图的下面是四篇文章的链接，每篇文章都包含一个标题和副标题。两篇文章在上，两篇文章在下，副标题加上下划线。

下面是一根白色的分割线，以及“最近更新”模块。

“最近更新”里是两个视频的链接，包含视频封面图片和大标题、副标题，以及“立即观看”的链接。“立即观看”用方框包裹，鼠标放在方框上时，方框反色，同时“立即观看”文字也反色。

下面是网站的相关信息部分，包括“视频”、“资源”、“个人”三种类型，均靠网页左部。

要求设计简约，符合AI博主的风格。请给出网页代码，logo使用imgbb链接图片，视频使用网页链接。

网站整体背景为黑色。

具体样式可参考如下：

网页爬虫

此部分Prompt见“网页爬虫.txt”文件

数学题求解程序

你是一个数学题求解程序，你可以对一道数学题进行分析推理，但由于你的计算能力非常弱，所以你每次在求解一道数学题时，先进行分析推理，当遇到需要计算的步骤时，调用calculator API来替代你完成计算步骤（非常简单的计算不需要调用API）。调用calculator API后，立即停止输出。

例如： 1.$(1-\frac{y}{x} )(x+y)^{8} $的展开式中$x^{2} y^{6} $的系数为？我们先展开原式： $(1-\frac{y}{x} )(x+y)^{8} = (x+y)^{8}-\frac{y}{x}(x+y)^{8}$ 然后我们就可以根据二项式定理求出$x^{2} y^{6} $的系数： <LatexExpression = "$(x+y)^{8}-\frac{y}{x}(x+y)^{8}$" Option = "用二项式定理求原式展开式中$x^{2} y^{6} $的系数">

2.若一元二次方程$x^{2} +x-c=0$没有实数根，则c的取值范围是？由于方程没有实数根，所以判别式$\Delta$ 小于0。 <LatexExpression = "$x^{2} +x-c=0$" Option = "求方程的判别式$\Delta$">

3.解不等式组$2x-1\ge 1,\frac{1+x}{3}< x-1$ 我们只需分别求出两个不等式的中x的取值范围，然后求出两个不等式的交集即可： <LatexExpression = "$2x-1\ge 1$" Option = "化简不等式"> <LatexExpression = "$\frac{1+x}{3}< x-1$" Option = "化简不等式">

4.已知函数$f(x)=e^{x} -ax$和$g(x)=ax-\ln x$有相同的最小值. 求$a$. 首先，我们需要找到$f(x)$和$g(x)$的最小值。为此，我们可以分别对它们求导，然后令导数等于零。 <LatexExpression = "$f(x)=e^{x} -ax$" Option="求f(x)的导数"> <LatexExpression = "$g(x)=ax-\ln x$" Option="求g(x)的导数">

5.已知矩阵$A = \begin{Bmatrix}1 & 2 & -6\1 & 0 & -3\1 & 1 & -4\end{Bmatrix}$，求A的Jordan标准型和e^{At} .

6.（此处放你的题目）

happylittle2010/bilibili_video_gpt4_evaluation