m*****x
发帖数: 10 | 1 【 以下文字转载自 Statistics 讨论区 】
发信人: minimax (橙路), 信区: Statistics
标 题: Help:Mauchly's test of sphericity in two-way ANOVA
发信站: BBS 未名空间站 (Tue Aug 9 01:04:20 2005), 转信
Does Mauchly's test of sphericity in two-way repeated measure ANOVA
will change according to the presence or absence of interaction of two factors
?
That is, Mauchly's test result will remain unchanged no matter whether
interaction of two factors exists or not. Right? How can I testify it?
//bow & thx |
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D**u
发帖数: 204 | 2 A guy starts walking from position x_0 on earth (we treat earth as a sphere
with radius R). He randomly chooses a direction and walk 1 meter (this is
the spherical distance) and reaches position x_1. He repeats the walk n
times and arrives at position x_n.
Question:
(1) what is E((x_n - x_0)^2)? (here ((x_n - x_0)^2 is the square of the
Euclidean distance, not the spherical distance).
(2) does E((x_n - x_0)^2) converge when n --> \infty? |
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h********g
发帖数: 5 | 3 Finite element analysis of the spherical indentation of transversely
isotropic piezoelectric materials
Modelling Simul. Mater. Sci. Eng. 20 (2012) 045019 (15pp) doi:10.1088/0965-
0393/20/4/045019
Abstract
Finite element analysis was used to analyze the indentation deformation of
a transversely isotropic piezoelectric material (PZT-4) by a rigid spherical
indenter. Three cases were considered in the analysis, which included (a)
the indentation by an insulating indenter, (b) the indentation by a
c... 阅读全帖 |
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D**u
发帖数: 204 | 4 【 以下文字转载自 Mathematics 讨论区 】
发信人: DuGu (火工头陀), 信区: Mathematics
标 题: spherical random walk
发信站: BBS 未名空间站 (Wed Nov 4 15:15:16 2009, 美东)
A guy starts walking from position x_0 on earth (we treat earth as a sphere
with radius R). He randomly chooses a direction and walk 1 meter (this is
the spherical distance) and reaches position x_1. He repeats the walk n
times and arrives at position x_n.
Question:
(1) what is E((x_n - x_0)^2)? (here ((x_n - x_0)^2 is the square of the
Euclidean distance, not t |
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D**u
发帖数: 204 | 5 Thanks, I will try to read it.
A few more words about the problem.
If we substitute the "spherical random walk"
with "spherical brownian motion", and replace x_n with x_t (t is the time),
then
E((x_t - x_0)^2) = 2 - 2*exp(-t/2).
When t --> 0, the above value is close to t, which coincides with the planar
case. |
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t*****r
发帖数: 448 | 6 who has any idea about simulation of 3D spherical particle packing?
how to determine the particles are not overlay?
thanks |
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k***n
发帖数: 383 | 7 知道MODEL是SPHERICAL HARMONIC(球谐振子),
现在有数据了,
谁知道有没有算法来拟合?
就一个参数,就是AMPLITUDE.
因为L,M都已知了. |
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b*********h
发帖数: 46 | 8 最近课题需要用到spherical harmonic transform，但是找到的
方法都是需要至少2N个sample point才能计算出N个coefficients，
请问比较熟悉这个问题的同仁，这个overdetermined问题如何有效
解决，换句话说，给2N的时域点，得到N个频域点，再回到时域点
显然不能保证full recovery，除非事先的离散信号已经知道是bandlimited。
请问有比较好的办法，只要求同样多的数据点来做这个变换么？
多谢了。。。球坐标就是麻烦啊。 |
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r******r
发帖数: 138 | 9 just an intuitive solution:
transform the spherical distances to radians, do 2-d random walk on a plane, then take the remainder of |An-A1|/(2pi) where Ai = (alpha_x,alpha_y) radian, and calculate the corresponding
euclidian distance.
as n goes to infinity, the expectation doesn't converge b/c of this "
periodicity" of 2pi.
sphere |
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p***n
发帖数: 27 | 10 本人对spherical and elliptical distribution的含义和用处不是很理解，学的云里雾里。这里有高手详细指点一下吗？用简单的语言平铺直叙吧。数学公式等的我都懂，wiki我也看了，不用重复。多谢了
。 |
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G**7
发帖数: 391 | 11 I am running analysis on repeated measures. The Sphericity test has no valid
value because the degree of freedom is 0.
Shall we switch to Box's test of covariance? If that is significant, we
need to use G-G or H-F correction?
Thanks |
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q*c
发帖数: 17993 | 12 REI的这篇文章挺好，针对滑雪Goggle的选择，我转贴过来：
http://www.rei.com/learn/expert-advice/goggles.html
Goggles for Skiing and Snowboard: How to Choose
/How%20to%20Choose%20Ski%20and%20Snowboard%20Goggles.jpg
Goggles offer you better eye protection than sunglasses do when you're
snowboarding or skiing for the day.
At first glance, it may not be apparent why goggles range so widely in price
—from $25 to over $200. Here's how to make sense of the technology and find
the right pair for your needs.
Why Wear Goggles?
Th... 阅读全帖 |
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p*********e
发帖数: 32207 | 13 看了一下wiki的介绍
"
Thompson coupling[edit]
Thompson coupling from U.S. Patent 7,442,126. Note: drawing on the right
omits certain components in order to illustrate the control yoke's spherical
pantograph.
The Thompson constant velocity joint (TCVJ), also known as a Thompson
coupling, assembles two cardan joints within each other to eliminate the
intermediate shaft. A control yoke is added to keep the input and output
shafts aligned. The control yoke uses a spherical pantograph scissor
mechanism to bi... 阅读全帖 |
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s********3
发帖数: 231 | 14 《科学》对STAP手稿的专家评审意见曝光
《科学》对传说中的STAP细胞论文的三名评审专家意见，过去一直被雪藏，今天终于
被曝光。专家对这一研究的评价不高，认为非常全面的描述性研究，如果结果确定，可
能导致发育生物学大厦的颠覆，其实是不相信这种研究结论。因为没有当时的投稿件，
所以没有办法对这些评价进行更深入分析。不过这些资料显然都在某个地方，只是拥有
的人不愿意拿出来。
Retraction Watch readers are of course familiarwith the STAP stem cell saga,
which was punctuated by tragedy last month whenone of the authors of the
two now-retracted papers in Nature committed suicide.
In June, Science‘s news section reported:
Sources in the scientific community confirm that early version... 阅读全帖 |
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b***y
发帖数: 14281 | 15 既然有人争论方的学术水平，就上网搜了一下。应该说这个水平对于一个junior
faculty来说可以算是很牛B了，但是对于老方这种senior的已经搞了一辈子的人来说，
就只能算so so。不要说是院士，离aps fellow的级别也还差了不少。引用率最高的一
篇文章还是95年到了arizona之后跟老外合作的，被引118次，这也是方唯一一篇被引用
上百次的文章。可见方励之89之前确实没有做出过什么重要的工作，他的名声和地位绝
对是靠政治得来的，当然其中部分的也是80年在中国搞科普所得，必须承认科普工作也是
有重要的社会意义的。
(BTW，有人说你这个搜索未必完整。不错，确实不能保证100％毫无遗漏。但是我
用的search engine is THE search engine everybody in this community uses today.
So, if any article is not found by this search engine, sadly, it simply doesn't matter,
because no one would ever n... 阅读全帖 |
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n***y
发帖数: 2730 | 16 你自己去查Spherical Geometry！尽他妈瞎逼逼！
"Spherical geometry is not elliptic geometry, but is rather a subset of
elliptic geometry. For example, it shares with that geometry the property
that a line has no parallels through a given point. Contrast this with
Euclidean geometry, in which a line has one parallel through a given point,
and hyperbolic geometry, in which a line has two parallels and an infinite
number of ultraparallels through a given point."
---https://en.wikipedia.org/wiki/Spherical_geometry |
|
发帖数: 1 | 17 这点破事还要jjzz
The shape of the event horizon of a black hole is always approximately
spherical. For non-rotating (static) black holes the geometry of the event
horizon is precisely spherical, while for rotating black holes the event
horizon is oblate. |
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L*W
发帖数: 38 | 18 我的prescription上remarks一栏写着 polycarbonate lens,progressive,other
照着这个在网上填的时候发现网站上说如果是progressive的,必须填上n.v.值,
原文如下: NV-Add refers to the near-vision correction in the prescription.
You must enter an Add number for Bifocal or Progressive lenses. It is the
same number for both the OD and OS.The Add number modifies the Spherical
number, such that the optician making the glasses will add this value to the
Spherical number when making the near vision lens. It effectively alters
the focal depth of the f |
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S**U
发帖数: 7025 | 19 Hockey puck is also not spherical, but a disk.
http://en.wikipedia.org/wiki/Hockey_puck
Rugby and American football are also not spherical.
My guess is any sports that uses a projectile with round cross-section can be called “球”in Chinese. It is almost always the case, as the shape is
fully symmetric in 2 dimensions and somewhat aerodynamically stable (when spinning around the axis), making it more playable.
In contrast, a dart doesn't have a round cross-section, and can't be easily played back ... 阅读全帖 |
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H********o
发帖数: 3625 | 20 关于地球是圆的这点
人类很久很久以前就知道了
The concept of a spherical Earth dates back to around the 6th century BC,[1]
but remained a matter of philosophical speculation until the 3rd century BC
, when Hellenistic astronomy established the spherical shape of the earth as
a physical given. |
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l*****o
发帖数: 19653 | 21 ccd现在都至少是几百万像素了吧，肯定超过了diffraction limit，所以感光元件的分
辨率真不是问题。。。而且，ccd像素的大小肯定不是由光刻制约的，光刻现在应该正
从65nm向45nm过渡，即便是135nm node，也远远远远小于现在ccd每个cell的尺寸。。。
至于入射光的角度，但凡是超过半米的景物，基本都算是垂直入射吧，而且，防反射膜
也都是根据垂直入射光的波长来设计的。。。
至于镜头的畸变(aberration?), 肯定是有的，毕竟是spherical lens。。。但就我所
知，所有的照相机都是spherical lens，没人搞抛物线的吧，除非想把照相机当光刻机
使用。。。 |
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m****7
发帖数: 14685 | 22 最靠谱的说法：
spherical aberration - near the center of the lens elements, the curvature
is relatively low and the aberration between ideal and actual is pretty
small. When you stop down, the lens only sees through the well-corrected
center so you have "correct" focus. Near the edges (included in the wide
open image), spherical aberration piles up and can cause a shift in the
plane of best focus between the ideal (similar to where it would be at say
f8) and actual. |
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p*******m
发帖数: 136 | 23 鉴于“数毛”禁，只好换个标题。
镜头测试的真谛，就像品酒。不是只有烈酒才是好酒。能品出酒中的酸，甜，苦，辣，
大概只是入了们而已。在能发现其产地，年号，当时当地的气候，酿酒师的喜好。酒的
整个历史，就在舌头上展开，就像Harry Potter看回忆镜。
今天本来戒网了。就去Nikon网站上读贴，填补一下空虚。发现这篇关于Ai Zoom
Nikkor 25-50mm f/4的文章：
http://imaging.nikon.com/history/nikkor/46/index.htm
这个1001夜系列应该是铁丝必读的了。这一篇应该是新写的，几年前看得时候，没有读
到。
不过我刚好有这个lens。关键是当年买不起17-35或者24-70之类的金圈头。而当年研究
手动头的时候，网上很多人说这个头不错。一不小心，就在ebay上看到了。当时卖家列
错了焦距，我也没花太多钱就买到了。当年最大的乐趣，就是测试镜头了。比现在严谨
，是对着自己打印的iso chart测的。所以现在看到新手每每喜欢”敏感词“，就仿佛
回到几年前。
废话少说，当时测这个镜头的时候就发现这个头50/4的时候flare特别... 阅读全帖 |
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f****a
发帖数: 847 | 24 这个好像还行， 是谁代工的？是fd mount?
不过测评一般
http://cannonfastreviews.com/toufive-star-28mm-2-8-auto-mc/
哈哈
Sharpness
f/2.8: A little bit soft and lower contrast, with some coma, spherical
aberration and a fair bit of chromatic aberration.
f/3.5: Doesn’t sharpen up much, but has better contrast and way less coma
and spherical aberration but still a fair bit of chromatic aberration.
f/4: Sharpens up a little bit more, but way better contrast and only a hind
of chromatic aberration.
f/8: Fairly sharp with good... 阅读全帖 |
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d****o
发帖数: 32610 | 25 bacterial mineral excretion
也不是很好玩
http://jss.ecsdl.org/content/6/3/N3113.full
Sodium Tungstate and Sodium Molybdate Hollow Microspheres
Abstract
This study is to present sodium tungstate and sodium molybdate hollow
microspheres–microspheres with three length-to-diameter ratios of 1:1, 3:1,
and 10:1. They were excreted by two strains of aquaculture probiotic Gram-
negative bacterium, Shewanella sp. and Pandoraea sp. Their morphology is of
hollow spherical shape, which was captured via the scanni... 阅读全帖 |
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j*******7
发帖数: 6300 | 26 http://en.wikipedia.org/wiki/Dark_Ages_(historiography)#Rationa
Rational thought and the study of nature
Medieval artistic illustration of the spherical Earth in a 14th century copy
of L'Image du monde (c. 1246)
Further information: Science in the Middle Ages
The medieval period is frequently caricatured as supposedly a "time of
ignorance and superstition" which placed "the word of religious authorities
over personal experience and rational activity."[42] However, rationality
was increasingly he... 阅读全帖 |
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l**********1
发帖数: 5204 | 27 Mounting the specimen
Selection of a mounting medium should
take into account the type of microscope objective
that will be used to observe the specimen
(see section on Microscope objectives).
In order for an objective to perform optimally,
the mounting medium should have the same
refractive index (RI) as the objective immersion
medium. Mismatches in the refractive indices
produce spherical aberration leading to
loss of light at the detector, as well as decreased
z-axis resolution and incorrect ... 阅读全帖 |
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d******f
发帖数: 62 | 28 There is a spherical region in the water heated up, for instance 90 degree.
The radius of this spherical region is 1 um. Thus I want to know how fast is
the water going out of this region and how fast(the speed) the water in the
peripheral region will go to fill this sperical region.
Suppose there is gold particle, which is about 1 um larg and it is 10 um
away from this hot region, the flowing water will try to push the particle
into the center. I am wondering whether there is a way to cal |
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d******f
发帖数: 62 | 29 There is a spherical region in the water heated up, for instance 90 degree.
The radius of this spherical region is 1 um. Thus I want to know how fast is
the water going out of this region and how fast(the speed) the water in the
peripheral region will go to fill this sperical region.
Suppose there is gold particle, which is about 1 um larg and it is 10 um
away from this hot region, the flowing water will try to push the particle
into the center. I am wondering whether there is a way to cal |
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S*****n
发帖数: 6055 | 30 首先我得承认我不懂TEM，然后恐怕你也没懂我的意思
我比较熟悉的统计particle size的方法就是chemisorption和EXAFS
这两种方法都需要作一个geometry或者说shape的假设
当然我们可以假设它是spherical的，但是对于lz说得3nm这么小的particle，因为已经
接近原子的大小，spherical的假设已经不精确了（因外表面不再能看成光滑表面），
通常是根据金属的表面性质做一些假设，比如“111面truncated的正20面体”，等等
我想请教的是，如果是用TEM做particle size的statistical analysis，是否也要做同
样的假设？ |
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c****n
发帖数: 220 | 31 http://en.wikipedia.org/wiki/Aage_Bohr
Physics
By the late 1940s it was known that the properties of atomic nucleus could
not be explained by the then-current models (such as the liquid drop model
developed by Niels Bohr amongst others). The nuclear shell model, developed
in 1949, allowed some additional features to be explained, in particular the
so-called magic numbers. However, there were also properties which could
not be explained, including the non-spherical distribution of charge in
certa... 阅读全帖 |
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z**********g
发帖数: 16 | 32 bout “Repulsive particle” hypothesis
Zhuang Yilong
Shanghai Institute of Science and Technology Managemen
Jiading 201800
“Repulsive particle” hypothesis is a new theory of material
action. Contrary to Newton law of universal gravitation, which explains why
an apple on the three falls to the ground, it can be called law of universal
repulsion which explains why an apple grows on the tree. It regards a plank
quantum as a material particle, which is a epulsive particle”
counter... 阅读全帖 |
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z**********g
发帖数: 16 | 33 Repulsion Particle Hypothesis
: Zhuang Yilong
Shanghai Institute of Science & Technology Management
Jiading District of Shanghai, 201800, China
Abstract: The theory of “ Repulsion Particle Hypothesis” is a new theory
of matter interactions. In contrast to Newtons universal gravitation that
the apple drops from the tree, this hypothesis can be called the universal
repulsion theory tha... 阅读全帖 |
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D**u
发帖数: 204 | 34 Randomly (also uniformly) choose 3 points A,B,C on a 2-dimensional sphere.
Let x be the spherical area of the spherical triangle ABC;
and y be the volume of the (Euclidean) 四面体 formed by A,B,C and O
(the center of the sphere).
If we treat x and y as 2 random varibles,
then what is the correlation between x and y? |
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a*********r
发帖数: 116 | 35 You can expand 1/|r1-r2| by spherical harmonic function, then
integrate out r2. When you do this, there will be three spherical
harmonic functions. Such integration can be represented by 3-j symbol
in the angular momentum problem. Now only finite terms are left and
you can begin to integrate r1. Good luck. |
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r***o
发帖数: 6 | 36 A uniformly charged spherical ballon deflates suddenly,maintaining
its spherical shape and total charge.
which of the following statements concerning the possible emission
of electromagnetic radiation during this process is true?
(a) Radiation is emitted because charge is accelerated.
(b) Radiation is emitted because the surface density of charge increases
(c) No Radiation is emitted because there are no magnetic fields present.
(d) No radiation is emitted because charge is conserved.
(e) No rad |
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w*******y
发帖数: 60932 | 37 I have been price watching these for a while, and I bought the 10 cup
version about two weeks ago. LOVE IT. You can make small batches, I can
confirm.
5-1/2-cup rice cooker and warmer with micro computer technology
Superior induction heating evenly distributes heat for excellent results
Multi-menu cooking functions; LCD control panel; keep warm; timer
Spatula, spatula holder, and rice-measuring cup included
Measures 14-3/16 by 9-13/16 by 7-15/16 inches
Along with micro com... 阅读全帖 |
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t******t
发帖数: 15246 | 38 12月21日，中航工业贵州云马飞机制造厂运用航空制造技术，成功完成了FAST项目12米
相似三角形的铝合金面板验证模型制造。该模型由100个1.2米等边三角形构成，每个等
边三角形三个交点孔位置精度保持在0.1-0.15mm。该模型的成功制造，标志着云马厂在
走向参与规划建设目前世界上最大的、具有500米口径球面射电望远镜（Five hundred
meters Aperture Spherical Telescope，简称FAST）的工作中迈出了重要一步。
据悉，FAST是国家科教领导小组审议确定的国家九大科技基础设施之一，2007年7
月10日，经国家发改委正式批复FAST立项后进入可行性研究阶段。由中国科学院和贵州
省人民政府共同建设。建设周期以开工报告通过之日起约5.5年。该项目拟采用我国科
学家独创的设计和我国贵州南部的喀斯特洼地的独特地形条件，建设一个约30个足球场
大的高灵敏度的巨型射电望远镜。FAST建成后将成为世界上最大口径的射电望远镜，
FAST与号称“地面最大的机器”的德国波恩100米望远镜相比，灵敏度提高约10倍；与
排在阿波罗登月之前、被评为人类20世纪十大工... 阅读全帖 |
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x***u
发帖数: 6421 | 39 【 以下文字转载自 Physics 讨论区 】
发信人: xiumu (朽木☀江湖夜雨十年灯), 信区: Physics
标 题: Improved measurement of the shape of the electron
发信站: BBS 未名空间站 (Wed May 25 14:38:59 2011, 美东)
Improved measurement of the shape of the electron
J. J. Hudson, D. M. Kara, I. J. Smallman, B. E. Sauer, M. R.
Tarbutt & E. A. Hinds
AffiliationsContributionsCorresponding author
Nature 473, 493–496 (26 May 2011) doi:10.1038/nature10104
Received 18 February 2011 Accepted 08 April 2011 Published online 25 May
2... 阅读全帖 |
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w*******y
发帖数: 372 | 40 Spherical Mercator
是把地球投影到相切的圆柱筒，然后把筒子摊成平面。所以投影过的两极显得面积比实
际大很多。 |
|
l****u
发帖数: 3130 | 41 姓 名： 袁 荃 Yuan _ Quan
出生年月：1982年2月
学历： 博士， 教授
专业方向：分析化学
电 话：
Email：y*********[email protected]
教育与研究经历
2000年9月– 2004年7月：武汉大学化学学士学位
2004年9月– 2009年7月：北京大学无机化学博士学位导师：严纯华院士
2009年9月-2011年12月：佛罗里达大学化学系博士后谭蔚泓教授课题组
2011年12月-现在：武汉大学化学学院教授
代表性成果
1.Quan Yuan, Yun-Fei Zhang, Ruo-Wen Wang, Chao-Lin Du, Emir Yasun, Yan Chen,
and Wei-Hong Tan* “Using Silver Nanowire Antennas to Enhance the
Conversion Efficiency of Photoresponsive DNA Nanomotors” Proc. Natl. Acad.
Sci. U. S. A. 2011, 108, 9331.
2.Quan Yuan, Hao-Hong ... 阅读全帖 |
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h*****9
发帖数: 6643 | 42 没听说过是你自己无知。这只能说明你是个很容易被骗的无知之徒， 你又要凭你自己的无知骂人，你又无耻了。
揭露 BIG-BANG 是披着科学外衣的宗教，这在10年前就有很多文章了。
THE "BIG BANG" IS JUST RELIGION DISGUISED AS SCIENCE
by Michael Rivero
Once upon a time, a long time ago, there was this guy named Aristotle.
Pretty sharp fellow; he thought up a lot of good things. But, occasionally
he made a mistake.
One mistake he made was to toss an orange up in the air and watch it come
straight back down to his hand. Aristotle reasoned that if he was moving,
the orange would have flown... 阅读全帖 |
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h******i
发帖数: 661 | 43 你们学校ap能发这么多paper?
1989
Cosmological implications of quasar-galaxy associations, L.Z.Fang, Y.Q.Chu
and X.F. Zhu, Mod. Phys. Lett., 4, 887.
Geometrical optics in an inhomogeneous universe, L.Z.Fang and X.P.Wu,
Chinese Phys. Lett., 6, 233.
Quasar clustering and its cosmological implication, L.Z.Fang, Inter. J. Mod.
Phys. A4, 3477.
L'Osservatorio astronomico di Pechino: la sua storia, il presente, L.Z.Fang,
Scienza e Tecnica, Annuario della EST 88/89 404.
Overview on the frontier of high energy astr... 阅读全帖 |
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b***y
发帖数: 14281 | 44 No. The search include his early works up to 1978. Here is the same list
sorted by year.
1) The Influence of Gravitation on the Vacuum State.
By Li-Zhi Fang.
Acta Phys. Sinica 27 ( 1978) 181-18.
2) THE STRUCTURE AND STABILITY OF THE ABNORMAL NEUTRON STAR.
By Li-Zhi Fang, Qin-Yue Qu, Zhen-Ru Wang, Tan Lu, Liao-Fu Luo.
Sci.Sin.22:187-198,1979.
3) Some Recent Developments in Astrophysics. (Talk).
By Li-Zhi Fang, A. Qadir, R. Ruffini.
In *Nathiagali 1980, Proceedings, Physics and Contemporary Needs... 阅读全帖 |
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b********n
发帖数: 38600 | 45 问题是没搞出来麽。
“Semonov works on a small noncommercial team called AirPano, which travels
the globe creating these 3D aerial panoramas. They shoot from helicopters
and then stitch the images together. Mostly, they produce these spherical
panoramas that I find confusing to navigate, but clearly this one has been
flattened for our viewing pleasure.” |
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S******8
发帖数: 24594 | 46 老方到美国后发的文章列表，你自己看吧：
1990
174. Biased clustering in a universe with hot dark matter and a cosmic
string, L.Z.Fang, S.P.Xiang and L.Yan, Astr. & Astrophys. 233, 1.
175. Periodicity of redshift distribution in a T-3 universe, L.Z.Fang, Astr.
& Astrophys. 239, 24.
176. An upper limit to quasar's peculiar velocity, L.Z.Fang, Y.Q.Chu, X.F.
Zhu and L.F. Wang, Inter. J. Mod. Phys., 5, 2993.
177. Quasar pair and quasar's peculiar velocity, L.Z.Fang, Developments in
general relativity, astrophysics and qu... 阅读全帖 |
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b****l
发帖数: 23606 | 47 妈的，姐你真是辩论靠气势取胜，根本不管事实如何阿。
看看你们S 自己的PDE本科PDE课
MATH 131P: Partial Differential Equations I
An introduction to PDE; particularly suitable for non-Math majors. Topics include physical examples of PDE's, method of characteristics, D'Alembert's formula, maximum principles, heat kernel, Duhamel's principle, separation of variables, Fourier series, Harmonic functions, Bessel functions, spherical harmonics. Students who have taken MATH 171 should consider taking MATH 173 rather than 131p. Prerequisite: 5... 阅读全帖 |
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发帖数: 1 | 48 我前面都说了，除非你是学数学（还有物理我忘了提）这种专业科班的，自己去查！
你这样压根做不来coding job，这么强的exception 你都handle不了，还有那个大SB
，哈哈
include physical examples of PDE's, method of characteristics, D'Alembert's
formula, maximum principles, heat kernel, Duhamel's principle, separation of
variables, Fourier series, Harmonic functions, Bessel functions, spherical
harmonics. Students who have taken MATH 171 should consider taking MATH 173
rather than 131p. Prerequisite: 53. |
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d*b
发帖数: 21830 | 49 PDE基本是整个engineering的基本功，物理的很多数学课程的要求基本跟数学系一样了
。你究竟懂不懂？
SB
s
of
spherical
173 |
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f***y
发帖数: 4447 | 50 刘徽->沈括->郭守敬..一脉相传。没回子的事。
https://en.wikipedia.org/wiki/Guo_Shoujing
His calendar would be used for the next 363 years, the longest period during
which a calendar would be used in Chinese history.[8] He also used
mathematical functions in his work relating to spherical trigonometry,[9][10
] building upon the knowledge of Shen Kuo's (1031–1095) earlier work in
trigonometry.[11] It is debated amongst scholars whether or not his work in
trigonometry was based entirely on the work of Shen, or whether... 阅读全帖 |
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