竹枝詞九首‧唐‧劉禹錫

白帝城頭春草生，白鹽山下蜀江清。
南人上來歌一曲，北人莫上動鄉情。

山桃紅花滿上頭，蜀江春水拍山流。
花紅易衰似郎意，水流無限似儂愁。

江上朱樓新雨晴，瀼西春水縠紋生。
橋東橋西好楊柳，人來人去唱歌行。

日出三竿春霧消，江頭蜀客駐蘭橈。
憑寄狂夫書一紙，家住成都萬里橋。

兩岸山花似雪開，家家春酒滿銀杯。
昭君坊中多女伴，永安宮外踏青來。

城西門前灩澦堆，年年波浪不能摧。
懊惱人心不如石，少時東去複西來。

瞿塘嘈嘈十二灘，人言道路古來難。
長恨人心不如水，等閑平地起波瀾。

巫峽蒼蒼煙雨時，清猿啼在最高枝。
個里愁人腸自斷，由來不是此聲悲。

山上層層桃李花，雲間煙火是人家。
銀釧金釵來負水，長刀短笠去燒畬。

『小汽車』自洛水『小神龜』處得聞大道，若有所思乎？若有所知耶！或已先得『四知說』哩◎

詩經《大明》言

上帝臨女，無貳爾心。

，因『文』能『明』、『武』有『功』，可持守『不大聲以色』乎！至於所謂『無知』耶？

《後漢書‧卷五十四‧楊震傳》：當之郡，道經昌邑，故所舉荊州茂才王密為昌邑令，謁見，至夜懷金十斤以遺震。震曰：『故人知君，君不知故人，何也？』密曰：『暮夜無知者。』震曰：『天知，神知，我知，子知。何謂無知！』密愧而出。

，後『磕磕碰碰』自偏喜『竹枝詞』？因緣際會雷 ☳ 風 ☴ 一時裡，怎不出

楊柳青青江水平，聞郎江上唱歌聲。

東邊日出西邊雨，道是無晴卻有晴。

人天『吉凶』外？？！！

據聞早能夜追螢火！！？？

……

若問誰曉『 □ 在做， ○ 在看』，世間『第一車』☆

─── 《GOPIGO 小汽車︰格點圖像算術《什麼是影像》三之○□》

雖然俗語道︰慢工出細。切莫太遲了，趕不上市集！

嘗聞得道者有

神通

神通（梵語：abhiññā），又譯為神力、通力、通，為佛教術語，指因禪定力而得到的超越凡人神秘力量，也有可能只是普通的幻術而已。這個名詞出現在多部佛經中，例如《大薩遮尼乾子所說經》、《楞嚴經》。

，故爾懷疑耳朵近日所生之哼哼聲，是『小汽車』有話要說耶？所以不管是否黃道吉日，趕緊收文『派生動力學』的乎？？

Equations of motion

In mathematical physics, equations of motion are equations that describe the behaviour of a physical system in terms of its motion as a function of time.^[1] More specifically, the equations of motion describe the behaviour of a physical system as a set of mathematical functions in terms of dynamic variables: normally spatial coordinates and time are used, but others are also possible, such as momentum components and time. The most general choice are generalized coordinates which can be any convenient variables characteristic of the physical system.^[2] The functions are defined in a Euclidean space in classical mechanics, but are replaced by curved spaces in relativity. If the dynamics of a system is known, the equations are the solutions to the differential equations describing the motion of the dynamics.

There are two main descriptions of motion: dynamics and kinematics. Dynamics is general, since momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term refers to the differential equations that the system satisfies (e.g., Newton’s second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

However, kinematics is simpler as it concerns only variables derived from the positions of objects, and time. In circumstances of constant acceleration, these simpler equations of motion are usually referred to as the SUVAT equations, arising from the definitions of kinematic quantities: displacement ( $s$ ), initial velocity ( $u$ ), final velocity ( $v$ ), acceleration ( $a$ ), and time ( $t$ ).

Equations of motion can therefore be grouped under these main classifiers of motion. In all cases, the main types of motion are translations, rotations, oscillations, or any combinations of these.

A differential equation of motion, usually identified as some physical law and applying definitions of physical quantities, is used to set up an equation for the problem. Solving the differential equation will lead to a general solution with arbitrary constants, the arbitrariness corresponding to a family of solutions. A particular solution can be obtained by setting the initial values, which fixes the values of the constants.

To state this formally, in general an equation of motion $M$ is a function of the position $r$ of the object, its velocity (the first time derivative of $r$ , $v = d r / dt$ ), and its acceleration (the second derivative of $r$ , $a = d 2 r / dt 2$ ), and time $t$ .Euclidean vectors in 3D are denoted throughout in bold. This is equivalent to saying an equation of motion in $r$ is a second order ordinary differential equation (ODE) in $r$ ,

$\displaystyle M\left[\mathbf {r} (t),\mathbf {\dot {r}} (t),\mathbf {\ddot {r}} (t),t\right]=0\,,$

where

t

is time, and each overdot denotes one time derivative. The initial conditions are given by the constant values at

t = 0

$\displaystyle \mathbf {r} (0)\,,\quad \mathbf {\dot {r}} (0)\,.$

The solution

r (t)

to the equation of motion, with specified initial values, describes the system for all times

t

after

t = 0

. Other dynamical variables like the momentum

p

of the object, or quantities derived from

r

and

p

like angular momentum, can be used in place of

r

as the quantity to solve for from some equation of motion, although the position of the object at time

t

is by far the most sought-after quantity.

Sometimes, the equation will be linear and is more likely to be exactly solvable. In general, the equation will be non-linear, and cannot be solved exactly so a variety of approximations must be used. The solutions to nonlinear equations may show chaotic behavior depending on how sensitive the system is to the initial conditions.

忽爾夢醒發現尚在『枕中』！早忘卻所言何事的矣！！

《呂翁》

開元十九年，道者呂翁，經邯鄲道上邸舍中，設榻施席。擔明鈔本擔作解。囊而坐。俄有邑中少年盧生，衣短裘，乘青駒，將適于田，亦止邸中，與翁接席。言笑殊暢，久之。盧生顧其衣裝弊褻。乃歎曰：「大丈夫生世不諧。而困如是乎。翁曰：「觀子膚極腧，體胖無恙，談諧方適；而歎其困者，何也。生曰。吾此苟生耳。何適之為。」翁曰：「此而不適，而何為適。生曰：「當建功樹名，出將入相，列鼎而食，選聲而聽，使族益茂而家用肥，然後可以言其適。吾志于學而游于藝，自惟當年，朱紫可拾，今已過壯室，猶勤田畆。非困而何。言訖，目昏思寐，是時主人蒸黃粱為饌，翁乃探囊中枕以授之曰：「子枕此，當令子榮適如志。」其枕瓷而竅其兩端。生俛首就之。寐中，見其竅大而明朗可處，舉身而入，遂至其家。娶清河崔氏女，女容甚麗而產甚殷。由是衣裘服御，日已華侈，明年，舉進士，登甲科，解褐授校書郎，應制舉，授渭南縣尉，遷監察御史起居舍人，為制誥。三年即真。出典同州。尋轉陝州。生好土功。自陝西開河八十里以濟不通。邦人賴之，立碑頌德。遷汴州嶺南道採訪使。入京為京兆尹。是時神武皇帝方事夷狄。吐蕃新諾羅、龍莽布攻陷爪沙。節度使王君㚟新被敍投河隍戰恐。明鈔本新被叙投河隍戰恐八字作與之戰于河隍敗績。帝思將帥之任，遂除生御史中丞河西隴右節度使，大破戎虜七千級，開地九百里，築三大城以防要害，北邊賴之。以石紀功焉。歸朝策勳，恩禮極崇，轉御史大夫吏部侍郎。物望清重，群情翕習，大為當時宰相所忌，以飛語中之，貶端州刺史。三年徵還。除戶部尚書。未幾，拜中書侍郎同中書門下平章事，與蕭令嵩、裴侍中光庭同掌大政，十年，嘉謀密命，一日三接，獻替啟沃，號為賢相。同列者害之，遂誣與邊將交結，所圖不軌，下獄，府吏引徒至其門，追之甚急，生惶駭不測。泣其妻子曰。吾家本山東，良田數頃，足以禦寒餒，何苦求祿，而今及此，思復衣短裘，乘青駒，行邯鄲道中，不可得也。」引刀欲自裁，其妻救之得免。共罪者皆死，生獨有中人保護，得減死論。出授驩牧。數歲，帝知其冤，復起為中書令，封趙國公，恩旨殊渥，備極一時。生有五子。僔、倜，儉、位、倚。僔為考功員外，儉為侍御史，位為太常丞，季子倚最賢。年二十四，為右補闕。其姻媾皆天下族望。有孫十餘人。凡兩竄嶺表，再登台鉉，出入中外。廻翔臺閣。三十餘年間。崇盛赫弈。一時無比。末節頗奢蕩，好逸樂，後庭聲色皆第一。前後賜良田甲第，佳人名馬，不可勝數。後年漸老，屢乞骸骨，不許，及病，中人候望，接踵於路，名醫上藥畢至焉。將終，上疏曰：「臣本山東書生，以田圃為娛，偶逢聖運。得列官序。過蒙榮獎，特受鴻私，出擁旄鉞，入昇鼎輔，周旋中外，綿歷歲年，有忝恩造，無裨聖化。負乘致寇。履薄戰兢。日極一日，不知老之將至。今年逾八十，位歷三公。鍾漏並歇。筋骸俱弊。彌留沈困。殆將溘盡。顧無誠効。上答休明，空負深恩。永辭聖代，無任感戀之至。謹奉表稱謝以聞。詔曰：「卿以俊德，作余元輔。出雄藩垣。入贊緝熙，昇平二紀。寔卿是賴。比因疾累，日謂痊除。豈遽沈頓。良深憫默，今遣驃騎大將軍高力士就第候省，其勉加針灸，為余自愛。讌冀無妄。期丁有喜。」其夕卒。盧生欠伸而寤。見方偃於邸中，顧呂翁在傍，主人蒸黃粱尚未熟，觸類如故，蹶然而興曰：「豈其夢寐耶。」翁笑謂曰：「人世之事，亦猶是矣。」生然之。明鈔本然之作默然。良久謝曰：「夫寵辱之數，得喪之理，生死之情，盡知之矣。此先生所以窒吾欲也，敢不受教。」再拜而去。出《異聞集》

只好造起工來行呦◎