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神经网络算法-梯度下降GradientDescent

2023-07-20 11:30:07
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神经网络文章索引

上一篇神经网络结构中,我们介绍了神经元的结构,激活函数以及每个神经元激活值的算法,涉及到权重、偏置值等。

上一篇结尾提到,对于28*28的黑白手写图像识别,我们需要13002个权重和偏置数值,才能让我们的神经网络最后输出正确结果。

所谓的机器学习,就是寻找这13002个数值的过程。首先这里有两点需要注意:

在负无穷到正无穷之间,如何获得一万多个数字最佳的匹配值?这比在全世界挑选1万人让TA们一起相爱还要难。

我们的做法是用计算机强大运算速度,暴力解决问题。

好了,现在,暴力不是问题,要想出奇迹的关键就在于如何找到如何 优化的规律

要想做优化,首先要明确目标,找到当前神经网络和期望结果之间的差距。

从下图可以看到,随机设定的神经网络最终输出的是混乱的一层(被黄色线框标出),距离最右边我们期望只点亮神经元3的情况差距很大。

我们把混乱输出层的每个神经元与期望层每个对应神经元激活值相减,然后平方,再累加在一起,这就是方差cost代价,如下图,计算得到cost是3.37。

我们用这个cost来表示当前神经网络13002个设定值和期望设定值之间的差距,当然,这个cost等于0是差距最小,也就是最接近期望设定值。——当然这只是针对数字3的1张图片来说,我们需要的是针对0~9共10个数字的数万张图片,cost都能是最小。

从下图,我们来看一下神经网络的功能。它能利用13002个设定值经过3层神经元激活值的计算,把784个像素亮度变为10个数字(我们期望这10个数字中只有一个是1,其他都是0)。

这13002个权重和偏置数字,加上激活值的算法,就是神经网络的“想法”。

我们再来看看代价函数的情况,如下图,它是利用很多很多的训练图片(已经明确了对应的数字),把13002个数字变为1个cost代价数。

写成函数形式

我们假设最简单的情况,只有1个权重和1个偏置:

x和y是任意可能的数值,我们希望知道当x和y是什么数值的时候z最小。

每一组[x,y]都对应唯一的z,我们可以假想,有无数个[x,y,z]这样的位置点,在三维空间坐标中,它们就会组成一个面(曲面或平面),如下图。

从几何意义上看,我们就是要找到凹陷最低的那个位置点的x,y的值,因为那里z也就是cost代价最低。

假设上面的xyz绘制的cost曲面是个山地,你是一个旅行者,需要行走找到最低点的位置,你会怎么办?

没错,只要一直往下走,那么就能走到所在区域的最低点。——当然,如果山后面还有更深的山谷,那么你可能找到的只是局部最低点,而并非世界最低点。

实际上,对于复杂的超多维度来说,找到世界最低点几乎是不可能任务。我们唯一能做的就是多找几个局部最低点,然后选择其中最低的那个。

同样,如果我们落脚在[x",y"],那么可以尝试对比[x"+0.1,y"],[x"-0.1,y"],[x",y"-0.1],[x",y"+0.1],如果[x"+0.1,y"]是最低的,那么我们就走到这里,然后继续尝试对比四周点的高度。这就是梯度下降的算法。

如下图,我们沿着虚线一步一步下山找到最低点。

首先快速的从下图了解几个基本概念。

下图的弧线表示的是某个函数y=f(x),比如抛物线方程y=x 2 。

曲线上任取两个点a,b,它们对应x和x+dx。(d是指德尔塔大写Δ,小写δ)

ab两点对应的y的差是dy。

现在直线ab看上去是曲线的割线(有ab两个交点)。

假设b点沿着曲线,越来越靠近a点,那么dx极限趋近于0,这时候dy也会越来越小趋近于0,但是!我们会意识到dy/dx永远不会是0,而最终它仍然是角∠cab的对边比邻边,也就是正切三角函数值。

实际上,这也正是曲线的切线的定义。

可以想象,我们取的a点越是靠右,那么这个切线越是竖直。

如果我们把这个切线看做表示某个一次方程,如y=mx+n这种形式,那么a点越靠右,直线越竖直,m值也就越大。

我们把m值叫做直线的斜率。

导数derivative ,一元函数y=f(x)(即因变量y只受到一个自变量x影响的函数)中任意取x,如果x增加极小趋近于0的Δx(或者写为dx),那么y相应的被增加Δy(或者写作dy),那么导数就是dy/dx,而又有dy=f(x+dx)-f(x),所以:

从函数的曲线图上可以看到,某点的导数就是dx趋近于0时候∠cab的正切,导数反映了切线的陡峭程度,也就是y随着x变化的快慢程度。

微分differential ,简单说就是Δx和Δy,或者记作dx和dy。x称之为自变量,y称之为因变量,那么x趋近于最小的时候的值,就是x的微分(趋近0又不是0的那个神秘值),同样y的微分也是这个意思,总之是想得到又摸不到的神奇值。

斜率slope ,一元一次函数(直线方程)y=mx+n的系数m值。在这里就是a点的导数值f"(x)。

切线tangent ,某个点a的切线,就是经过a点的,以A点斜率为系数的方程y=f"(x)x+n所表示的直线。

自变量dependent variable和因变量 independent variable ,x自己的变化,引发y被动变化。

好了,我们来看 多变量微分Multivariable differential

上面都是一个y收到一个x的影响y=f(x),多变量就是不止受到一个自变量的影响,我们以最简单的z=f(x,y)为例,z=x 2 +y 2 。

绿轴x的变化和红轴y的变化,都会对应蓝轴z的变化。

x从负无穷到正无穷无限种可能,y也是无限种可能,x和y复合到一起就在水平方向覆盖了全部地面,z值有高有低,就像现实世界中的海拔一样,把xy平面凸起或凹陷。(图中粉色没有画出全部曲面)

我们可以想象,这时候不能讨论A点的切线了,而应该考虑它的 切平面tangent plane (下图绿色平面)。

方向导数directional derivative ,就是曲面上过A点的任意曲线的切线(下图紫色线)组成的平面,就是切平面。

这么多紫色的方向中,哪一个方向最陡峭?对于这个z=x 2 +y 2 函数来说,明显是最接近竖直朝上的那个箭头和最接近竖直朝下的那个箭头。

和曲线一样道理,越陡峭意味着z对x、y的变化越敏感,或者说dx、dy的变化会引发更多的dz。

梯度gradient ,我们规定,能够引发因变量最快变化的那个切线正方向,就叫做曲面方程上这个点的梯度。注意梯度是个xyz表示的三维方向,例如[0,0,1]表示z轴竖直向上,[0.1,0.1,1]就往xy的正方向偏一点点。

对于只有xy两个变量的三维曲面来说,我们还可以只是考虑x+0.1,x-0.1,y+0.1,y-0.1这样的试探方法找到最低点,只要2*2=4次就可以了,周全一点也就8次。

但是对于我们手写数字识别中13002个自变量来说,那就要2 13002 次,这是不可行的。

借用多元微分,我们可以找到13002个自变量某一随机点对应的切平面(实际早已不是什么平面了,我们姑且这么说),也可以计算出其中变化最快的方向,就是梯度,数学家已经证明,不管多少个维度,沿着梯度往前走一步,都能获得最快变化后新的一个点,这个点是一个n维向量,对于我们的案例来说就是13003个新数字组成的数组[0.322,0.123,0.55,0.222,...0.233]共13003个数字。

唯一要说明的一点不同就是,为了找最低点,我们不是往上走,而是往相反的负方向,朝下走。

步长step size ,就是我们每次沿着 负梯度 往下走多远,在机器学习算法里面它叫做 学习率learning rate ,同样道理,步子迈小了走得太慢,找到最低点耗时间太久,步子太大了容易跳过最低点(注意,1万多维的复杂情况不是我们上面三维漏斗曲面那么简单可以描述的)。所以我们经常设置0.00001这样小的数字,好在很多机器学习程序都会适当的自动调整它(比如Tensorflow中的梯度下降优化GradientDescentOptimizer),实际上不会让它太慢。

同时,我们从上图中看到,计算出的负梯度是由很多数字组成的数组,每个数字代表一个维度(就像xy那样),所以我们只要在原来的位置点坐标(比如[x,y])上分别把这个梯度(比如[0.1,-0.3])加上去就能得到新的点([x+0.1,y-0.3])。

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2023-07-20 08:00:532

差值用英语怎么说

  差值就是相减所得到的值,也是高考录取分数线的专业术语。那么你知道吗?下面我为大家带来差值的英语说法,供大家参考学习。   差值的英语说法   The difference   D-value   差值相关英语表达   差值分析 differential *** ysis;   差值检波器 difference detector;   差值图 differential chart;   差值延迟 differential delay;   差值综合 difference synthesis   差值的英语例句   1. In photoelastic experiments their difference is determined.   在光弹性实验中,所确定的是它们的差值.   2. The deviations should not exceed 25 Cal.   其差值异不得超过25卡.   3. Any difference between values for successive occupations must be considered as a closure error.   逐次读数之间的任何差值都必须看作一种闭合差.   4. The Sequence Difference Histogram SDIF algorithm is suggested in the seeker processor.   提出了在导引头处理器中采用序列差值直方图演算法 SDIF .   5. One one - hundredth a percent, used in measuring yield differences among bonds.   万分之一点, 用来测量票据间收益差值.   6. The major indicators of *** ysis included higher - order aberration, sphere - aberration and a - aberration.   主要分析指标有:总高阶像差值、 慧 差值 、 球差值.   7. The motion detecting is achieved using temporal differencing with a threshold.   移动侦测是采用时域差值移动物体侦测法配合门槛值的设定.   8. Third, the maintenance of this week, the margin will experience reunification deal.   在本周三维护时, 将对经验差值统一进行处理.   9. ERROR - the deviation difference or ratio of a measurement from its true value.   误差ERROR - 与被测量值的真值相比测量的偏差 差值或比值 .   10. Maximums are based on the operating force for each valve size.   这种最大压差值是根据每个通径阀门的操作力计算的.   11. Ecological field gradient means the disparity between two of nearest data.   场梯度是指相邻两个资料的差值.   12. The software will display the SNR, FWHM and RMS values found.   软体将显示它们的信噪比, 点扩充套件函式和均方差值.   13. I call this building the " postive gap "   我称之为建立 “ 正差值 ”   14. Cut and edge the margin.   削减和EDGE差值.   15. N use rate accounted by method of difference.   氮肥利用率用差值法计算.
2023-07-20 08:01:151

differential data 是什么意思

differential data异态数据 差分数据;差动资料传输双语例句1The differential data transmission is the key point in RTK technic.差分数据传输是RTK技术实现的关键。2An Analysis for the Signal to Noise Ratio in the Unbalanced Differential Data Channel for Magneto Optical Disks磁光盘非平衡差分信道信噪比模型的研究
2023-07-20 08:01:231

在National Instrument Terminal Configuration中,选项 Differential、RSE和NRSE意义

differential表示差分,RSE ,Referenced Single Ended,表示参考地单端;NRSE, Non-Referenced Single Ended,表示无参考地单端。基本上,就是选差分,或者RSE。
2023-07-20 08:01:301

log wage differentials是什么意思

log wage differentials 全部释义和例句>>LOG的工资差距differentials 英[du026afu0259"renu0283lz] 美[du026afu0259"renu0283lz] n. 差异; ( differential的名词复数 ) 工资级差; (汽车) 差动齿轮; 分速器; [网络] 微分; 差速器; 差额; [例句]Similarly, large maternal mortality differentials by province persist.同样,各省的孕产妇死亡率差异也很大。[其他] 形近词: differentiate
2023-07-20 08:01:401

differential delay 是什么意思

differential delay 英[u02ccdu026afu0259u02c8renu0283u0259l diu02c8lei] 美[u02ccdu026afu0259u02c8ru025bnu0283u0259l du026au02c8le] 意思:微分(差分)延迟; [例句]The stability of composite θ-method for stochastic differential delay equation was studied.研究了随机延迟微分方程复合θ-方法的稳定性。
2023-07-20 08:01:471

allegro16.6 怎样设定differential pair在不同层面控制不同线宽与间距

约束管理器中的 Electric→Net→routing→Differential partPrimary Gap 差分对最优先线间距(线到线间距)。Primary width 差分对最优先线线宽(线的粗细)。
2023-07-20 08:01:561

值班英文怎么说?

“值班”的英文说法 你的第一个问题是: on call, 就是领导叫你去值班就值班,否则就等著。 On duty的意思是不管领导叫不叫,都轮到你值班。 吃晚饭去唱歌,可以说是Phase two 或者 second stage。 值班英文怎么说 我也想知道 大概是roster的音对吧 "我在值班 ", 用英语怎么说 I"m on duty now.「 值班 」用英语怎么说 值班 be on duty更多释义>> [网络短语] 值班 on duty;Watch;shift 值班时间 watch-hour;attended time;watch-keeping period 值班津贴 Shift Differential;Shelloft Differential;shift differential 值班主任的英文怎么说 值班主任. 英语: The duty manager. The director in duty. 值班人员 英文怎么说 个人认为,值班用 on duty 在一定场合固然也可以,但它一般是泛指“上班”,指正在上班或值勤的人。值班,应该用 on watch 更好。 people on watchwatchkeeper attendant 值班人员 英文怎么说 值班人员 [词典] [化] operator in charge; operator on duty; [例句]系统自动对采集通信异常情况进行分析,列出异常报表,供值班人员进行分析、处理。 The system automatically *** yzes acquisition munication abnormalities and lists an abnormality report form for personnel on duty to *** yze and process. 今日值班英语 值班:on duty today “我晚上值班”用英语怎么说! 我晚上值班。 Tonight is my shift. I will be on watch tonig抚t. I am on duty this evening. ... 供参
2023-07-20 08:02:371

日语汽车零件的中文叫发.

u30c7u30d5(u30c7u30a3u30d5u30a1u30ecu30f3u30b7u30e3u30ebu30aeu30a2) u30adu30e3u30eau30a2differential gear careeru30d4u30cbu30aau30f3 u30c7u30d5(u30c7u30a3u30d5u30a1u30ecu30f3u30b7u30e3u30ebu30aeu30a2)pinion differential gear
2023-07-20 08:02:441

差异表达基因分析概念篇

Differential gene expression analysis:差异表达基因分析 Differentially expressed gene (DEG):差异表达基因 Volcano Plot:火山图 fold change翻译过来就是倍数变化,假设A基因表达值为1,B表达值为3,那么B的表达就是A的3倍。一般我们都用count、TPM或FPKM来衡量基因表达水平,所以基因表达值肯定是非负数,那么fold change的取值就是(0, +∞). 为什么我们经常看到差异基因里负数代表下调、正数代表上调?因为我们用了log2 fold change。当expr(A) < expr(B)时,B对A的fold change就大于1,log2 fold change就大于0(见下图),B相对A就是上调;当expr(A) > expr(B)时,B对A的fold change就小于1,log2 fold change就小于0。通常为了防止取log2时产生NA,我们会给表达值加1(或者一个极小的数),也就是log2(B+1) - log2(A+1). 【需要一点对数函数的基础知识】 为什么不直接用表达之差,差直接有正负啊?假设A表达为1,B表达为8,C表达为64;直接用差B相对A就上调了7,C就相对B上调了56;用log2 fold change,B相对A就上调了3,C相对B也只上调了3. 通过测序观察我们发现,不同基因在细胞里的表达差异非常巨大,所以直接用差显然不合适,用log2 fold change更能表示相对的变化趋势。 虽然大家都在用log2 fold change,但显然也是有缺点的:一、到底是5到10的变化大,还是100到120的变化大?二、5到10可能是由于技术误差导致的。所以当基因总的表达值很低时,log2 fold change的可信度就低了,尤其是在接近0的时候。A disadvantage and serious risk of using fold change in this setting is that it is biased[7] and may misclassify differentially expressed genes with large differences (B u2212 A) but small ratios (B/A), leading to poor identification of changes at high expression levels. Furthermore, when the denominator is close to zero, the ratio is not stable, and the fold change value can be disproportionately affected by measurement noise. 这就是统计学的范畴了,显著性就是根据假设检验算出来的。 假设检验首先必须要有假设,我们假设A和B的表达没有差异(H0,零假设),然后基于此假设,通过t test(以RT-PCR为例)算出我们观测到的A和B出现的概率,就得到了P-value,如果P-value<0.05,那么说明小概率事件出现了,我们应该拒绝零假设,即A和B的表达不一样,即有显著差异。 显著性只能说明我们的数据之间具有统计学上的显著性,要看上调下调必须回去看差异倍数。 这里只说了最基本的原理,真正的DESeq2等工具里面的算法肯定要复杂得多。 这张图对q-value(校正了的p-value)取了负log,相当于越显著,负log就越大,所以在火山图里,越外层的岩浆就越显著,差异也就越大。 只需要看懂DEG结果的可以就此止步,想深入了解的可以继续。 另一篇关于建库的文章: RNA-seq建库技术 | RNA sequence library construction 下面会讨论的问题有: 做生物生理生化生信数据分析时,最常听到的肯定是“差异(表达)基因分析”了,从最开始的RT-PCR,到基因芯片microarray,再到RNA-seq,最后到现在的single cell RNA-seq,统统都在围绕着差异表达基因做文章。 (开个脑洞:再下一步应该会测细胞内特定空间内特定基因的动态表达水平了) 表达量 :我们假设基因转录表达形成的mRNA的数量反映了基因的活性,也会影响下游蛋白和代谢物的变化。我们关注的是基因的表达,不是结构,也是不是isoform。 为什么差异基因分析这么流行?一是中心法则得到了确立,基因表达是核心的一个环节,决定了下游的蛋白组和代谢组;二是建库测序的普及,获取基因的表达水平变得容易。 在生物体内,基因的表达时刻都在动态变化,不一定服从均匀分布,在不同时间、发育程度、组织和环境刺激下,基因的表达肯定会发生变化。 差异基因分析主要应用在: 目前我们对基因和转录组的了解到什么程度了? 基本的建库方法?建库直接决定了我们能测到什么序列,也决定了我们能做什么分析! 基因表达的normalization方法有哪些? 第一类错误、第二类错误是什么? 多重检验的校正?FDR 10x流程解释 The mean UMI counts per cell of this gene in cluster I The log2 fold-change of this gene"s expression in cluster i relative to other clusters The p-value denoting significance of this gene"s expression in cluster i relative to other clusters, adjusted to account for the number of hypotheses (i.e. genes) being tested. The differential expression analysis seeks to find, for each cluster, genes that are more highly expressed in that cluster relative to the rest of the sample. Here a differential expression test was performed between each cluster and the rest of the sample for each gene. The Log2 fold-change (L2FC) is an estimate of the log2 ratio of expression in a cluster to that in all other cells. A value of 1.0 indicates 2-fold greater expression in the cluster of interest. The p-value is a measure of the statistical significance of the expression difference and is based on a negative binomial test. The p-value reported here has been adjusted for multiple testing via the Benjamini-Hochberg procedure. In this table you can click on a column to sort by that value. Also, in this table genes were filtered by (Mean UMI counts > 1.0) and the top N genes by L2FC for each cluster were retained. Genes with L2FC < 0 or adjusted p-value >= 0.10 were grayed out. The number of top genes shown per cluster, N, is set to limit the number of table entries shown to 10000; N=10000/K^2 where K is the number of clusters. N can range from 1 to 50. For the full table, please refer to the "differential_expression.csv" files produced by the pipeline. 不同单细胞DEG鉴定工具的比较 Comparative analysis of differential gene expression analysis tools for single-cell RNA sequencing data For data with a high level of multimodality, methods that consider the behavior of each individual gene, such as DESeq2, EMDomics, Monocle2, DEsingle, and SigEMD, show better TPRs. 这些工具敏感性高,就是说不会漏掉很多真的DEG,但是会包含很多假的DEG。 If the level of multimodality is low, however, SCDE, MAST, and edgeR can provide higher precision. 这些工具精准性很高,意味着得到的DEG里假的很少,所以会漏掉很多真的DEG,不会引入假的DEG。 time-course DEG analysis Comparative analysis of differential gene expression tools for RNA sequencing time course data 参考: Question: How to calculate "fold changes" in gene expression? Exact Negative Binomial Test with edgeR Differential gene expression analysis 相关文章: ggplot的boxplot添加显著性 | Add P-values and Significance Levels to ggplots | 方差分析
2023-07-20 08:02:531

Ordinary Differential Equations是什么意思

Ordinary Differential Equations常微分方程;微分方程式;常微分方程组双语例句1. His work remains mathematically in the realm of ordinary differential equations. 他的工作在数学上就停留在常微分方程的范围.2. Methods: The qualitative theories of ordinary differential equations are used. 方法运用常微分方程定性理论进行讨论.3. Higher - order singularly perturbed ordinary differential equations have important applications in Fluid Dynamics. 高阶奇异常微分方程在流体动力学中也有重要的应用.4. Numerical methods for ordinary differential equations. 常微分方程之数值解.5. When solving different ordinary differential equations, we may take the analytical solution or numerical solution. 不同类型的常微方程可以采用解析解法或者数值解法.
2023-07-20 08:03:021

在matlab中输入functiondxdt=differential(t,x)提示我上下文中不允许定义函数咋回事而哇

题主是把代码直接贴到命令窗口里运行的吧?用function定义的函数必须保存成M文件才能运行。如果已经保存到M文件,那就是在function之前还有其它代码。function必须出现在有效代码的最前面(所谓有效,是指不包括注释之类的内容)。
2023-07-20 08:03:321

苏加宝的发表论著

苏加宝教授及其课题组发表学术论文40多篇,研究内容涉及无穷维Morse 理论的应用、临界群计算、半线性椭圆共振问题、超线性椭圆问题的多解性、Hamilton系统周期解、拟线性椭圆方程(P-Laplace)、Henon方程基态解的非对称性、非线性薛定鄂方程、Sobolev型嵌入定理等方面,研究成果在包括Advances in Mathematics、Journal of Differential Equations、Calculus Variations and Partial Differential Equations等在内的20种国际学术期刊上发表,大部分是SCI期刊论文,得到国际同行的关注和大量引用,已被30多个国家和地区的近200名数学家发表在近100种学术期刊、8本专著和预印本引用近400次,其中被Annales Institut H.Poincare Analyse NonLineaire、Memoirs of AMS、J.Funct.Anal.等在内的70多种SCI、SCIE期刊引用300多次,被国内外30多篇博士学位论文引用。 Mingzheng Sun, Hongrui Cai, Jiabao Su, Morse theory for the p-Laplacian equation with concave nonlinearities. Preprint2013, Meiqin Li, Jiabao Su, Nonhomogeneous quasilinear elliptic coercive problem on R^N with singular potentials. Preprint 2011. Preprint 2011. Jiabao Su and Zhi-Qiang Wang, Multiple solutions for coercive elliptic equations preprint Jiabao Su, Zhenqi Zhang, Existence and nonexistence results for nonhomogeneous quasilinear elliptic equations on exterior ball with singular potentials. Preprint 2011 Anran Li and Jiabao Su, Existence and multiplicity of solutions for Kirchhoff-type equation with radial potentials in R^3. Zeitschrift fuer Angewandte Mathematik und Physik, to appear. Anran Li and Jiabao Su, Multiple nontrivial solutions to a p-Kirchhoff equation. Communications in Pure and Applied Analysis, to appear. Leiga Zhao, Jiabao Su, Caiyun Wang, On the existence of solutions for quasilinear elliptic problems with radial potentials on exterior ball. Mathematische Nachrichten, to appear. Mingzheng Sun, Meiling Zhang, Jiabao Su, Critical groups at zero and multiple solutions for a quasilinear elliptic equations. Journal of Mathematical Analysis and Applications,428, 1(2015), 696--712. Mingzheng Sun, Jiabao Su, Leiga Zhao,Infinitely many solutions for a Schrodinger-Poisson system with concave and convex nonlinearities. Discrete and Continuous Dynamic Systems, 35(2015), 427--440. Mingzheng Sun, Jiabao Su, Nontrivial solutions of a semilinear elliptic problem with resonance at zero. Applied Mathematical Letters, 34(2014),60--64. Zhanping Liang, Jiabao Su, Solutions to inhomogeneous quasilinear elliptic problems with concave-convex type nonlinearities. Acta Mathematica Scientia, 2014, 34A(2):217--226 Anran Li, Jiabao Su and Leiga Zhao, Existence and multiplicity of solutions of Schrodinger-Poisson systems with radial potentials. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 144, 02(2014),319--332. Anran Li, Hongrui Cai and Jiabao Su, Quasilinear elliptic equations with singular potentials and bounded discontinuous nonlinearities Topological Methods in Nonlinear Analysis, 43, 2(2014), 439--450. Hongrui Cai, Jiabao Su and Yang Sun, Sobolev type embeddings and an inhomogeneous quasilinear elliptic equation on R^N with singular weights Nonlinear Analysis, 96(2014), 59-67. Hongrui Cai, Jiabao Su, Gradient systems with sublinear term near the origin and asymptotically linear term near infinity Boundary Value Problems 2013 (1) 280 Anran Li, and Jiabao Su, Superlinear gradient system with a parameter. Boundary Value Problems 2012 (1) :110 Leiga Zhao, Anran Li, Jiabao Su,Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions. Nonlinear Analysis, 75(2012), 2520--2533. Zhanping Liang and Jiabao Su, Existence of solitary waves to a generalized Kadomtsev-Petviashvili equation. Acta Mathematica Scientia, 32B(3)(2012), 1149--1156. Jiabao Su, Quasilinear elliptic equations on R^N with singular potentials and bounded nonlinearity Zeitschrift fuer Angewandte Mathematik und Physik, 63(2012),51-64. Jiabao Su, Rushun Tian, Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on R^N. Proceedings of the American Mathematical Society, 140,3(2012), 891--903. Xiaoli Li, Jiabao Su and Rushun Tian, Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms Journal of Mathematical Analysis and Applications, 385(2012), 1-11. Jiabao Su, Ruiyi Zeng, Multiple periodic solutions of superlinear ordinary differential equations with a parameter Nonlinear Analysis, 74, 17(2011), 6442-6450. Lina Lv, Jiabao Su, Solutions to a gradient system with resonance at both zero and infinity. Nonlinear Analysis, 74,16(2011),5340-5351. Jiabao Su and Zhi-Qiang Wang, Sobolev type embedding and quasilinear elliptic equations with radial potentials. Journal of Differential Equations, 250(2011), 223-242 Jiabao Su, Rushun Tian, Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations Communications in Pure and Applied Analysis, 9,4(2010),885-904. Zhanping Liang, Jiabao Su, Critical point theorem for asymptotically quadratic functional without compactness. Journal of Mathematical Analysis and Applications, 370(2010), 649-658. Zhaoli Liu, Jiabao Su, Zhi-Qiang Wang, Elliptic systems on R^N with nonlinearities of linear growth, Progress in variational methods, 90--106, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7, World Sci. Publ., Hackensack, NJ, 2011. Zhaoli Liu, Jiabao Su, Zhi-Qiang Wang, Solutions of elliptic problems with linearly bounded nonlinearities. Calculus Variations and Partial Differential Equations, 35, 4(2009),463-480. Zhanping Liang and Jiabao Su, Multiple solutions for semilinear elliptic boundary value problems with double resonance Journal of Mathematical Analysis and Applications, 354,1(2009),147-158. Jiabao Su, Leiga Zhao, Multiple periodic solutions of ordinary differential equations with double resonance. Nonlinear Analysis, 70,4(2009), 1520-1527. Zhaoli Liu, Jiabao Su, and Zhi-Qiang Wang, A twist condition and periodic solutions of Hamiltonian systems. Advances in Mathematics, 218, 6(2008), 1895-1913. Jiabao Su, Zhaoli Liu, Bounded resonance problems for semilinear elliptic equations. Discrete and Continuous Dynamic Systems, 19,2(2007), 431-445. Jiabao Su, Zhi-Qiang Wang, Michel Willem, Nonlinear Schrodinger equations with unbounded and decaying radial potentials. Communications in Contemporary Mathematics, 9,4(2007),571-583. Jiabao Su, Zhi-Qiang Wang, Michel Willem: Weighted Sobolev embedding with unbounded and decaying radial potentials. Journal of Differential Equations, 238,1(2007),201-219. Paul H. Rabinowitz, Jiabao Su, Zhi-Qiang Wang, Multiple solutions of superlinear elliptic equations Rendiconti Lincei Matematicae Applicazioni,18(2007),97-108. (Italy) Zhaoli Liu, Jiabao Su, Tobias Weth, Compactness results for Schrodinger equations with asymptotically linear terms. Journal of Differential Equations, 231,2(2006), 501-512. Jiabao Su, Leiga Zhao, An elliptic resonance problem with multiple solutions Journal of Mathematical Analysis and Applications,319(2006),604-616. Jiabao Su, Hong Li, Multiplicity results for the two-point boundary value problems at resonance Acta Mathematica Scientia, 26,1(2006),152-162. Zhaoli Liu, Jiabao Su, Solutions of some semilinear elliptic problems with perturbation terms of arbitrary growth Discrete and Continuous Dynamic Systems, Vol.10,3(2004),617-634. Jiu Quansen, Jiabao Su, Existence and multiplicity results for Dirichlet problem with p-Laplacian Journal of Mathematical Analysis and Applications. 281(2003),587-601 Jiabao Su, Multiplicity results for asymptotically linear elliptic problems at resonance. Journal of Mathematical Analysis and Applications, 278(2003),397-408 Jiabao Su, Zhaoli Liu, Nontrivial solutions of perturbed of p-Laplacian on R^N. Mathematische Nachrichen, 248/249(2003),190-199 Jiabao Su, Nontrivial critical points for asymptotically quadratic functional at resonance, Morse theory, minimax theory and their applications to nonlinear differential equations, 225--234, New Stud. Adv. Math., 1, Int. Press, Somerville, MA, 2003 Jiabao Su, Existence and multiplicity results for classes of elliptic resonant problems. Journal of Mathematics Analysis and Applications, 273,2(2002),565-578. D. Smets, Jiabao Su, M. Willem, Nonradial ground states for Henon equations Communications in Contemporary Mathematics, 4,3(2002),467-480. Shujie Li, K.Perera, Jiabao Su. On the role played by the Fucik spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist. Nonlinear Analysis, 49(2002),603-611. Jiabao Su. Semilinear elliptic Boundary value problems with double resonance between two consecutive eigenvalues. Nonlinear Analysis, 48,(2002),881-895. Jiaquan Liu, Jiabao Su. Remarks on multiple nontrivial solutions for quasi-linear resonant problems. Journal of Mathematics Analysis and Applications, 258,(2001),209-222. Shujie Li, K.Perera, Jiabao Su, Computations of critical groups in elliptic boundary value problems where the asymptotic limits may not exist. Proceedings of Royal Society Edinburgh (A) Mathematics, 131,3(2001),721-732 Jiabao Su, Chunlei Tang, Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues Nonlinear Analysis, 44(2001),311-321. 苏加宝, 李永青, 关于半线性椭圆共振问题的注记 数学学报, 43,6(2000),1135-1142. Jiabao Su, Existence of nontrivial periodic solutions for a class of resonance Hamiltonian systems. Journal of Mathematics Analysis and Applications. 233(1999),1-25. Jiabao Su, Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity. Journal of Differential Equations.145,2(1998),252-273. Jiabao Su, Semilinear elliptic resonant problems at higher eigenvalues with unbounded terms, Acta Mathematica Sinica, New Series,14,3(1998),411-418. 苏加宝, 具有无界非线性项的半线性椭圆共振问题 数学学报, 41,3(1998),715-720. Shujie Li, Jiabao Su, Existence of multiple solutions of a two-point boundary value problem at resonance Topological Methods in Nonlinear Analysis, 10(1997),123-135. Shujie Li, Jiabao Su, Existence of multiple critical points for asymptotically quadratic functional with applications, Abstract and Applied Analysis, Vol.1,3(1996),277-289. Bingyou Li and Jiabao Su, Transfer open or closed set-valued mapping and generalization of H-KKM theorem with applications, Applied Mathematics and Mechanics, 15,10(1994), 981-989. 苏加宝, 广义H-KKM定理及其应用 河北师范大学学报(自然科学版)18,4(1994),1-4.
2023-07-20 08:03:401

differential to common mode conversion是什么意思

微分常见模式转换**************************************************************如果你对这个答案有什么疑问,请追问,另外如果你觉得我的回答对你有所帮助,请千万别忘记采纳哟!***************************************************************
2023-07-20 08:03:531

“压降”的两种英文说法pressure drop和pressure differential有何区别?请指教!谢谢

前者强调下降,后者强调差距
2023-07-20 08:04:011

differential circuit breaker是什么意思

微分电路断路器
2023-07-20 08:04:101

9、DEG(Differential expressed genes)

原文链接 10、DA(Differential abundance) - 简单来说就是在已经注释celltype的基础上,将每个样本中聚类到一个celltype中的gene counts加在一起。 ####### 小插曲:质控 remove samples with very low library sizes due to failed library preparation or sequencing. 最后本来想绘制个火山图,但结果并没有预想的那么好,草稿先放在这,以后再看看吧。有什么想法的朋友,欢迎留言。
2023-07-20 08:04:171

cbc with differential 什么意思

cbc with differentialCBC与微分
2023-07-20 08:04:251

金刚石/钻石包裹体的形貌特征

本文利用实体显微镜和微分干涉显微镜对83片山东、63片辽宁和134片湖南砂矿钻石薄片中的包裹体进行显微放大观察,采用的仪器分别为中山大学地球科学系岩矿显微鉴定室和西北大学地质系特种显微镜室的实体显微镜(型号分别为Nikon SMZ1000和Nikon SIMZS00)、国家珠宝玉石质量监督检验中心的微分干涉显微镜(型号为Nikon LV100),结果如下:6.2.2.1 常见包裹体的形貌特征三产地的钻石中橄榄石包裹体出现的频率较高,在辽宁发现13颗,山东发现18颗,湖南发现14颗,出现频率在分析的钻石样品中分别为20.6%、21.7%和10.4%。橄榄石包裹体大多数为无色透明的浑圆球状、柱状晶体(图6.1,图版Ⅵ)。湖南钻石中的橄榄石还具有哑铃状外形,哑铃状橄榄石显示浑圆的外形,晶体一头大一头小,中部线状内凹收窄,周围派生片状的内部裂隙和微裂纹(图6.2);山东钻石中还出现有钉头状橄榄石(图版Ⅵ)。橄榄石周围常环绕黑色石墨包裹体,部分晶体与石墨、裂隙相连接(图6.3,图版Ⅵ),辽宁钻石中的橄榄石包裹体晶面上还有细密的蚀像(图6.4),在山东和湖南钻石中的多颗橄榄石包裹体晶面上都发现有黑色石墨斑点的覆盖,如山东钻石23-SD-02的橄榄石晶体的部分晶面布有细小的黑色斑点,湖南钻石146-HN-01-A中三颗橄榄石包裹体晶面上都覆盖有黑色斑点(图6.5,图版Ⅵ)。石墨斑点以薄膜状覆盖在橄榄石的晶面上,同时对所在橄榄石晶体的拉曼测试造成影响。石墨斑点或分散或密集地在部分晶面上和晶棱上存在,斑点个体大多数呈拉长椭圆形,个体间沿拉长方向平行排列,拉长方向大致与包裹体晶体的延长、变形方向或晶体被熔蚀方向一致,如湖南钻石样品802-7中球状橄榄石晶面和晶棱上都有黑色拉长石墨斑点,晶棱上的石墨在熔蚀凹槽内出现,斑点整体平行排列(图6.6,图版Ⅵ);共生于同一钻石中的橄榄石上的石墨斑点在相同方向的晶面上出现,并且各个橄榄石晶体上斑点的拉长方向一致(图版Ⅵ)。表6.3 中国钻石包裹体的类型特征统计表 Table 6.3 Statistics of inclusion types of diamonds in China图6.1 山东钻石中的短柱状橄榄石(样品23-SD-02,微分干涉显微镜下,500×)Figure 6.1 Short columnar olivine inclusion in Shandong diamond(sample 23-SD-02,Differential Interference Contrast Microscope,500×)图6.2 湖南钻石中哑铃状橄榄石及周围的片状裂隙(样品802-6-2,微分干涉显微镜下,100×)Figure 6.2 Dumbbell-shaped olive inclusion with sheet fissure surrounded in Hunan diamond(sample 802-6-2,Differential Interference Contrast Microscope,100×)图6.3 湖南钻石中的橄榄石包裹体、状裂隙及其内的石墨(样品177-HN-01,微分干涉显微镜下,500×)Figure 6.3 Olivine inclusion and sheet fissure with graphite in Hunan diamond(sample 177-HN-01,Differential Interference Contrast Microscope,500×)图6.4 辽宁钻石中橄榄石包裹体晶面上布满蚀像(样品3-LW-03,微分干涉显微镜下,500×)Figure 6.4 Olivine inclusion fully covered with etched figures in Liaoning diamond(sample 3-LW-03,Differential Interference Contrast Microscope,500×)图6.5 湖南钻石中橄榄石包裹体上平行成行排列的黑色石墨(样品146-HN-01-A,微分干涉显微镜下,500×)Figure 6.5 Olivine inclusion covered with parallel graphite in Hunan diamond(sample 146-HN-01-A,Differential Interference Contrast Microscope,500×)图6.6 湖南钻石中橄榄石上定向拉长的石墨斑点(样品802-7,微分干涉显微镜下,100×)Figure 6.6 Olivine inclusion covered with oriented elongated graphite in Hunan diamond(sample 802-7,Differential Interference Contrast Microscope,100×)在三个产地的钻石中发现有两种类型的石榴子石:镁铝榴石和镁铝-铁铝榴石。辽宁钻石中发现的镁铝榴石主要为灰白色拉长柱状(图6.7,图版Ⅵ),晶棱圆滑,周围有大量黑色包裹体,其中一个大型的黑色包裹体呈厚片状分布,放大观察可见其中包裹大量的浑圆晶体(图6.8,图版Ⅵ),同时在该钻石中分布许多熔蚀长轴状未准确鉴定的晶体;镁铝-铁铝榴石包裹体十分细小,以浑圆状晶体分布于大片状的内部裂隙和黑色石墨包裹体中,难于仔细观察(图版Ⅵ)。图6.7 辽宁金刚石/钻石中拉长柱状镁铝榴石(样品8-LW-02,实体显微镜下,250×)Figure 6.7 Elongated columnar pyrope inclusion in Liaoning diamond(sample 8-LW-02,Stereomicroscope,250×)图6.8 厚片状黑色裂隙中浑圆晶体群(样品8-LW-02,微分干涉显微镜下,200×)Figure 6.8 Rounded crystal group in thick and black sheet fissure(sample 8-LW-02,Differential Interference Contrast Microscope,200×)辽宁钻石中的石榴子石包裹体周围有大量浑圆晶体包裹体,种类有辉石族矿物和其他镁铝榴石以及未确定的矿物(图6.9),晶体包裹体彼此之间都或近或远地独立分布。山东钻石中镁铝榴石包裹体以紫色为主,呈现中间收小的哑铃状、葫芦状和复杂晶形的浑圆晶体(图6.10,图版Ⅵ),晶体周围黑色石墨包裹体较少,多是浑圆的晶体包裹体,镁铝榴石包裹体没有与裂隙连通,较为独立。山东钻石样品23-SD-02的哑铃状镁铝榴石显示出层状结构,晶体内部为紫色,外部则为无色透明(图6.11);镁铝-铁铝榴石包裹体有紫色、黄褐色和无色(图版Ⅵ),晶体外形基本完整,部分晶体的晶面上有黑色斑点、红色斑块和三角锥状蚀像(图6.12):其中黑色斑点所在的晶面显示面平棱直的形态,可判断此晶面是受外力导致的破裂面,非熔蚀过程导致,斑点为六边形,与所在晶面的形状一致,且取向和所在晶面一致,判断黑色斑点是在石榴子石破裂面生成后形成的,为后生成因;红色斑块外形多变,多散布在晶体的边棱,向中部减少,对周围的一颗熔蚀状晶体上的红色斑块的拉曼测试结果为黄铜矿,推测石榴子石上的红色斑点应为同样生长环境下的同种物质;三角锥状蚀像密集在一晶面上。根据镁铝-铁铝榴石的形貌特征可判断钻石247-SD的生长经历了外力撞击和后期熔蚀的过程,显示该区金伯利岩浆在上升侵位过程中钻石发生再结晶作用。湖南钻石中的镁铝榴石包裹体为无色透明晶体,呈拉长浑圆状四角三八面体,常独立分布,很少与裂隙连通,晶体周围还常常有其他种类的浑圆晶体包裹体存在,如样品150-HN-01中3颗分散的镁铝榴石包裹体,包裹体显示浑圆拉长晶体(图6.13);镁铝-铁铝榴石有拉长柱状晶形,还发现有钉头状外形,白色钉头状晶体有单独分布,也有成行分布(图6.14)。辽宁钻石中的顽火辉石包裹体呈无色,浑圆拉长变形晶体,晶体两端大小不一(图6.15),周围伴有裂隙和黑色包裹体。山东钻石中辉石族矿物种类包括镁铁辉石、顽火辉石和绿辉石,为无色透明柱状浑圆晶体,环绕辉石包裹体周围的钻石内呈现明显的应变异常双折射现象(图6.16,图版Ⅵ),长柱状辉石晶体的平坦晶面上呈现小阶梯状(图6.17)。辉石包裹体周围有大量黑色云朵状包裹体和大量的晶体包裹体,种类包括绿辉石和石榴子石(图版Ⅵ)。图6.9 辽宁钻石中的橄榄石和石榴子石包裹体(样品LN-50-037B,微分干涉显微镜下,50×)Figure 6.9 Olivine and garnet inclusions in Liaoning diamond(sample LN-50-037B,Differential Interference Contrast Microscope,50×)图6.10 山东钻石中的镁铝榴石(样品247-SD-01,微分干涉显微镜下,500×)Figure 6.10 Pyrope inclusion in Shandong diamond(sample 247-SD-01,Differential Interference Contrast Microscope,500×)图6.11 山东钻石中紫色哑铃状镁铝榴石(样品23-SD-02,微分干涉显微镜下,200×)Figure 6.11 Purple and dumbbell shaped pyrope inclusion in Shandong diamond(sample 23-SD-02,Differential Interference Contrast Microscope,200×)图6.12 山东钻石中浅黄色镁铝-铁铝榴石晶面上的黑色六边形斑点(右部)、拉长的三角形蚀像(左部)和红色斑块(中下部)(样品247-SD-01,微分干涉显微镜下,500×)Figure 6.12 Light yellow pyrope-almandine inclusion with black hexagon spots (right),elongated triangular etched figures (left) and red patches (lower center)(sample 247-SD-01,Differential Interference Contrast Microscope,500×)图6.13 湖南钻石样品150-HN-01中的镁铝榴石包裹体Figure 6.13 Pyrope inclusion in Hunan diamond,sample 150-HN-01图6.14 湖南钻石中的镁铝-铁铝榴石包裹体Figure 6.14 Pyrope-almandine inclusion in Hunan diamond图6.15 浑圆拉长变形的顽火辉石(样品8-LW-01,拉曼探针显微镜下实测图)Figure 6.15 Rounded,elongate and distorted enstatite(sample 8-LW-01,Raman Microscope on-the-spot figure)图6.16 浑圆状绿辉石及其周围的异常双折射现象(样品247-SD-01,微分干涉显微镜下,500×)Figure 6.16 Rounded omphacite with anomalous birefringence effect(sample 247-SD-01,Differential Interference Contrast Microscope,500×)图6.17 长柱状辉石,平行柱状体有阶梯纹理(样品247-SD-02微分干涉显微镜下,200×)Figure 6.17 Long columnar pyroxene with parallel stepped veins(sample 247-SD-02,Differential Interference Contrast Microscope,200×)湖南钻石中辉石族包裹体种类有顽火辉石、镁铁辉石和绿辉石。晶体为无色透明,呈浑圆状,晶形多样,有柱状、板状、膝状和针管状形态,平行晶体延伸方向常具有阶梯状纹理(图6.18,图版Ⅵ)。辉石包裹体在钻石中都是单独存在,部分晶体周围延伸微小的裂隙。如钻石样品802-2中的膝状的顽火辉石,周围延伸出细小羽状片状裂隙(图6.19),一个方向上显示浑圆光滑晶面,相对方向上则显示规则阶梯状晶面。在一颗绿辉石包裹体晶面上发现有黑色石墨斑块(图6.20),斑块在两个相对的晶面上存在,没有方向性,说明包裹体经历的温压环境改变不具定向性,这与包裹体本身的原始晶形较完整相一致。在一个针管状孔道的不同位置(样品802-7)测出绿辉石的拉曼峰,同时还测出氮气和石墨,此管道延伸至钻石晶体表面,管道的内壁为面棱状,底部呈尖灭状(图6.21)。6.2.2.2 特殊形貌特征的包裹体图6.18 湖南钻石中的顽火辉石包裹体,平行柱状体有阶梯纹理(样品127-HN,微分干涉显微镜下,500×)Figure 6.18 Enstatite inclusion with parallel stepped veins in Hunan diamonds(sample 127-HN,Differential Interference Contrast Microscope,500×)图6.19 湖南钻石中的顽火辉石包裹体(样品802-2,微分干涉显微镜下,500×)Figure 6.19 Enstatite inclusion in Hunan diamond(sample 802-2,Differential Interference Contrast Microscope,500×)在研究的山东和湖南钻石多颗晶体包裹体上都附着黑色斑纹,包裹体种类包括橄榄石、镁铝榴石、镁铝-铁铝榴石、绿辉石和柯石英,各种包裹体晶体上的斑纹形态见图版Ⅵ,利用原位微区激光拉曼技术分析确定包裹体上的黑色斑点为石墨。分析发现,石墨大多数聚集成斑点状、条带状覆盖在包裹体的晶面上,但并不是在每个晶面上都存在,往往沿着拉长变形的晶面和受熔蚀的方向分布:石墨斑点个体大多数呈细长椭圆形,沿拉长方向平行排列,拉长方向大致与包裹体晶体的延长方向、变形方向或晶体被熔蚀方向一致,如样品802-7中的橄榄石包裹体的晶棱被熔蚀呈平行沟渠状,被拉长的石墨斑从熔蚀沟内延伸到晶面上(图6.22),但也有呈与包裹体晶形相同的形态,如247-SD-01中镁铝-铁铝榴石包裹体部分晶面上的六边形黑色斑点(图6.23),与所在晶面的形状一致,且取向和所在晶面一致;条带状的石墨沿着包裹体晶体延长方向分布,与晶棱平行(图6.24);也有的石墨呈非定向的分散斑块状在大晶面上分布,如样品801-11中的绿辉石包裹体上的石墨斑块(图6.25)。依此推断这些石墨斑点应该为晶体包裹体形成后,由于外部环境温压条件的变化产生,与所存在的包裹体种类无关。图6.20 湖南钻石中的绿辉石包裹体,其上有石墨斑点(样品801-11,微分干涉显微镜下,500×)Figure 6.20 Omphacite inclusion with graphite spots in Hunan diamond(sample 801-11,Differential Interference Contrast Microscope,500×)图6.21 湖南钻石中的针管状包裹体,管内测出绿辉石(样品802-7,微分干涉显微镜下,100×)Figure 6.21 Tubular inclusions detected as omphacite in Hunan diamond(sample 802-7,Differential Interference Contrast Microscope,100×)图6.22 湖南钻石中的橄榄石包裹体,其上有拉长定向的黑色石墨(样品802-7,微分干涉显微镜下,500×)Figure 6.22 Olivine inclusion covered with elongated black graphite in Hunan diamond(sample 802-7,Differential Interference Contrast Microscope,500×)图6.23 山东钻石中的镁铝-铁铝榴石包裹体,其上有六边形黑色斑(样品247-SD-01,微分干涉显微镜下,200×)Figure 6.23 Pyrope-almandine inclusion covered with hexagon black spots in Shandong diamond(sample 247-SD-01,Differential Interference Contrast Microscope,200×)图6.24 辽宁钻石中的镁铝榴石包裹体,其上有石墨附着(样品LN-50-037B(1-1),微分干涉显微镜下,100×)Figure 6.24 Pyrope inclusion covered with graphite in Liaoning diamond(sample LN-50-037B (1-1),Differential Interference Contrast Microscope,100×)图6.25 湖南钻石中的绿辉石包裹体,其上有石墨斑块(样品801-11,微分干涉显微镜下,500×)Figure 6.25 Omphacite inclusion covered with graphite patches in Hunan diamond(sample 801-11,Differential Interference Contrast Microscope,500×)另外,在4片湖南钻石薄片样品802-3-1、802-3-2、802-7和111-HN-02以及一片山东钻石样品42-SD-01中都观察到针管状溶蚀孔道,它们在金刚石/钻石中呈一个方向或几个方向分布,如图6.26~6.29所示及图版Ⅵ。针管状包裹体有单独存在也有成排发育,形态为粗细和长短不等的管状,管道内部为面棱状,管壁显示阶梯或不规则形态,由钻石晶体内部延伸至晶面,或出露或在靠近晶面处被封闭,出露面为不规则形状。由于针管状孔道深入钻石内部,对钻石的整体均一性造成了影响,因此本文将其纳入钻石的包裹体范畴来分析。含有针管状包裹体的钻石晶体都是强烈变形的歪晶或呈碎块状,晶体表面蚀像丰富多样,其中以熔蚀线和塑性变形滑移线最发育。针管状包裹体都发育在晶体滑移变形面的延伸方向和交汇处,内部裂隙发育,佐证了钻石中针管状包裹体与钻石生长环境中受应力作用有关。拉曼测试发现,针管状包裹体的不同地方分别显示出钻石(样品802-3-1)、绿辉石(样品802-7)、石墨、氮气(样品802-7)、黄铜矿(样品111-HN-02和802-7)和黄长石(样品42-SD-01)的拉曼峰。由此可以推断,钻石中的针管状包裹体主要与钻石内部晶格结构以及后期地质作用有关。当塑性变形区域形成了晶体内部缺陷(主要为线性晶格缺陷),钻石遭受熔蚀时沿塑性变形方向更易被改造而形成熔蚀通道,由表及里的熔蚀作用遇到其他形式的晶体缺陷会使通道扩大或终止,这取决于晶体缺陷对熔蚀介质的抵抗力,并会在钻石表面的通道露口处导致后期杂质物质的进入而形成次生包裹体。从以上对湖南、山东和辽宁钻石中的包裹体形貌分析可以发现,三个产地钻石包裹体的形貌都是以浑圆晶体为主,包裹体遭受了不同程度的熔蚀,导致矿物包裹体显示圆滑晶面棱和变形拉长外形。前人在研究山东八面体金刚石/钻石的透辉石包裹体时,沿解理方向也观察到细小黑色斑点(黄蕴慧等,1992);亓利剑等(1999)在观察辽宁钻石中的橄榄石包裹体时曾发现少数橄榄石表面被黑色斑点状薄膜所覆盖,但都未对此种黑色斑点状薄膜进行确定。项目组在山东和湖南金钻石包裹体观察中确认了这些晶体包裹体上的黑色斑点是石墨物质,同时发现,石墨对所在包裹体晶体的拉曼测试造成影响,会造成包裹体矿物本征拉曼峰强度变弱或缺失(图6.30)。石墨斑纹在不同种类包裹体晶面上和包裹体周围派生微裂隙中存在,并完好封闭在寄主钻石中。原生石墨包裹体的存在可能说明这些钻石形成过程恰好处于钻石与石墨稳定区边界附近,而次生石墨包裹体在晶体中可能和钻石形成后外界温压环境明显变化有关(Harris,1968,1972;Vance,1972)。在湖南和山东钻石中发现多个钻石中有成排出现针管状孔道,大部分管道直且内壁具明显的面棱状,推断应该是钻石生长过程中留下的生长特征。早期研究表明,金刚石/钻石的熔蚀通道与晶体缺陷有关(Tolansky,1955;Orlov,1973)。两粒澳大利亚粉红色金刚石/钻石中出现熔蚀孔道引起了关注(etched dislocation channel)(Hofer,1985);Crowningshield(1992)在粉红色金刚石/钻石中也发现“之”字形熔蚀孔道;Taijin Lu(2001)利用光学显微镜和扫描电镜研究了7颗天然金刚石/钻石中的熔蚀管道的特征,这些管道以各种形式的平行线状、弯折状或者是蠕虫状等外形出现,在许多产地中的Ⅰ型和Ⅱ型金刚石/钻石中都会出现;杨明星等(2004)对湖南褐色金刚石/钻石中的直管状的熔蚀孔道进行研究后认为它们是与塑性变形有关的熔蚀特征。湖南钻石在形成后的上升阶段,可能经过了剪应力的作用和普遍的熔蚀过程。图6.26 湖南钻石中平行排列的针管状包裹体(样品802-3-1,微分干涉显微镜下,100×)Figure 6.26 Parallel arranged tubular inclusions in Hunan diamond(sample 802-3-1,Differential Interference Contrast Microscope,500×)图6.27 湖南钻石中针管状包裹体,内壁显示多面棱形态(样品802-7,微分干涉显微镜下,500×)Figure 6.27 Tubular inclusion with multi-facet prism texture inwall in Hunan diamond(sample 802-7,Differential Interference Contrast Microscope,500×)图6.28 湖南钻石中平行排列的细长管状包裹体(样品802-3-2,微分干涉显微镜下,100×)Figure 6.28 Parallel arranged slender and tubular inclusions in Hunan diamond(sample 802-3-2,Differential Interference Contrast Microscope,100×)图6.29 山东钻石中密集的针管状包裹体(样品42-SD-01,微分干涉显微镜下,200×)Figure 6.29 Intensive tubular inclusions in Shandong diamond(sample 42-SD-01,Differential Interference Contrast Microscope,200×)金刚石/钻石在室温和较低温度下主要表现沿{111}解理,常具脆性,随温度的升高,塑性变形明显增加,溶蚀孔道可能和塑性形变有关。实验表明,金刚石/钻石要发生塑性变形必须有温度、压力条件相互配合(图6.31):天然金刚石/钻石生长的温度在 900~1300℃之间,压力为(45~70)×108Pa,因此在地幔高温高压下的金刚石/钻石生长环境中受应力作用时金刚石/钻石易产生塑性变形,从而产生一系列的晶体缺陷,进而对金刚石/钻石晶体的生长和光学性能等都产生极大的影响;如果环境温度太低(在900℃以下),则有可能发生脆性变形(Bursill,1995;Schmetzer,1999)。图6.30 湖南钻石中的橄榄石及其上的石墨斑点拉曼测试图Figure 6.30 Raman Microscope testing results of olivine inclusion and the graphite spots in Hunan diamond图6.31 金刚石/钻石塑性变形的温度压力范围(原图据Schmetzer,1999)Figure 6.31 Temperature and pressure range of diamond plastic deformation(Original drawing by Schmetzer,1999)综上所述,山东和湖南钻石晶体包裹体中附着的同生石墨包裹体可能说明钻石生长环境经历了明显的温压变化,钻石的生长环境具有波动性。湖南钻石中出现的针管状孔道数量比例最多,排列更密集,表明相对于辽宁和山东钻石,湖南沅水流域钻石的形成环境中塑性变形作用更为强烈,使其内部结构产生了复杂、明显的三维溶蚀缺陷。
2023-07-20 08:04:341

请帮忙将课程描述翻译成英文,真的急急急啊!

u300aFoundation Accountingu300b mainly teaches accountant to the student the elementary theory and the accounting method. Accountant the elementary theory mainly includes accountant the object and the duty, accountant essential factor, function of accounting, accounting equation, account contents and so on classification. The accounting method including establishes the accounting subject and the account, the account and lend money keep accounts method the application, double entry, to fill in the system and the verification certificate, the registration book, the cost finding, the property inspection, establishes the fiscal statement. Key grasps six accountants the essential factor the meaning as well as the classification. Teaching goal: Through to u3008Foundation Accountingu3009the study, causes the accounting profession the student not only grasps the accounting the basic concept, the elementary theory and the elementary operation eo skill moreover must train the student to discover that gradually accountant the question, analyzes and solves accountant question ability, strengthens accountant to realize gradually, masters the accounting profession technology, the accounting practice basic flow skilled, has initially using the accounting language reflected that the economic work and the accounting information which disclosed to the practice in understands and performs the utilization basic capability. u3008Economic rules and regulations Foundationu3009 including five major parts, namely legal science foundation and economic rules and regulations basic principle, market main body law, market control law, macroeconomic regulation and control law and economical procedural law. This curriculum study key: The law of corporation, forms a partnership contents and so on law of enterprise, law of contract, industrial property law, financial law, securities law and accountant, audit, method of average. In addition also includes the national industry law of enterprise, the foreign investment law of enterprise, individual sole ownership law of enterprise, the enterprise bankruptcy law, the guarantee law, coutering unfair competition, the product quality law, the advertisement law, the urban real estate control law, the financial tax law, the government procurement law and the economic arbitration and the economical trial and so on. Teaching goal: Studies through this curriculum can grasp the economic rules and regulations systematically comprehensively the basic principle, the elementary knowledge, the basic concept. The theory union reality, the reference related laws and regulations and unify the case, enables the student to utilize studies the knowledge processing actual problem ability. u3008The economical mathematicsu3009 introduced contents and so on function, limit, derivative and differential, derivative application, indefinite integral, definite integral, dual integral and infinite series and first order differential equation. Teaching goal: Through this curriculum"s study, causes the student to obtain aspect and so on integro-differential equation basic concepts, the elementary theory and the fundamental operation skill, trains the student to have the abstract thinking ability, logic reasoning ability and spatial imagination ability, the synthesis utilization studies the knowledge to analyze and the solution actual problem. u3008Computer Public Foundationu3009 the primary coverage includes: The computer elementary knowledge, the Windows operating system, the computer network foundation and Internet apply, word processor Word, electronic forms Excel, to manufacture the demonstration draft, net industry manufacture tool FrontPage with PowerPoint and so on commonly used tool software"s use. u3008Databaseu3009 introduced the Access database software system"s basic concept and the application method. The content includes: Database system"s elementary knowledge, the establishment relations database"s step, the database elementary operation eo, the database guide"s application, the database and the object foundation as well as the database management and the maintenance and so on, and unified introduced actually founded the small database using Access the process. u3008Legal baseu3009by three parts of constitutions. The first part: Introduction method elementary theory, law origin, essence and function; The second part: Introduces the constitution, the administrative law, the civil law, the intellectual property rights law, the marriage law and the inheritance law, the economic rules and regulations, the labor law and the social protection law, the environment and the natural resource protection method, the criminal law, the procedural law. The third part: Introduces the international law, the private international law and World
2023-07-20 08:04:543

请帮忙翻译这几个电子测量参数的术语

这应该是双绞线传输线的参数Attenuation/Insertion Loss Return Loss衰减/插入损耗(也简称插损),回波损耗Near-End Noise近端噪声Far-End Noise远端噪声量测参数:Differential Impedance差分阻抗Connector Impedance连接器阻抗Delay延迟Inter-Pair Skew线对间延迟畸变Intra-Pair Skew线对内延迟畸变
2023-07-20 08:05:011

Differential drive wheeled mobile robot什么意思?

差速传动带轮子的移动机器人
2023-07-20 08:05:081

国际金融题目,求过程答案

学习
2023-07-20 08:05:182

RS232 有没有差分信号(differential )?我知道RS422或485用差分信号。

232不是差分的 九个信号 自己可以查看资料 差
2023-07-20 08:05:282

博弈论中Stackelberg Differential Games是什么含义

这个是博弈论中著名的斯塔克尔伯格模型,由德国经济学家斯塔克尔伯格(H. Von Stackelberg)在上世纪30年代(1934年)提出。知道博弈里的模型么,古诺什么的,在古诺模型里,竞争厂商在市场上的地位是平等的,因而它们的行为是相似的。而且,它们的决策是同时的。当企业甲在作决策时,它并不知道企业乙的决策。但事实上,在有些市场,竞争厂商之间的地位并不是对称的,市场地位的不对称引起了决策次序的不对称,通常,小企业先观察到大企业的行为,再决定自己的对策。德国经济学家斯塔克尔伯格建立的模型就反映了这种不对称的竞争。在斯塔克尔伯格的寡头理论中,提出了将寡头厂商的角色定位为“领导者”与“追随者”的分析范式。一般来说,古诺模型中互为追随者的两个厂商势均力敌。而斯塔克尔伯格的寡头厂商模型中,一个是实力雄厚的领导者,一个是实力相对较弱的追随者。该模型的基本假定条件是,在一个寡头行业中有两个厂商,他们生产相同的产品,其中,一个寡头厂商是处于支配地位的领导者,另一个是寡头厂商的追随者;另外,与古诺模型一样,每个厂商的决策变量都是产量,即每个厂商都会选择自己的最优产量来实现利润最大化。 两种模型有不同的公式来反映不同厂商的策略定价。
2023-07-20 08:05:351