1969-04-11 — Page 26

報日僑華

五期星

日一十月四年九六九一匪公年八十五國民華中 青教儒

隊務服會社生學專大

成完營作工期一第

會晚行舉丼 路築村圍新澳且為

民村待招

等院校;並有一部份中:

#H***. 北大、崇基、聯合新

口,本家之岚澳工作營露 謝點!參加活計有來自 SUK-ORKER

成,並於本月八日拔營 第一期工作營目如期完 學生就會服務橡本年度 (RE) REKS

本海多晚月如程冱工氛一

日光左合態R 館嘅成飄作 「尊目歡。卷及上

期待或室,份

三

營

合土小徑,至恢榙境止

爲具 新圍村第一

1. 築有妣三呎四

·不等之小都五百五十呎

K⚫ (#)

五百五十呎,此事美中不足之處。該將於 斯内斯狀粱鏈第二期工作發,請各同學到時留意 日本來預舘建八百呎小徑,因材料不足,改建 村內污水得以去除。本次工程此預期內提早完成 中得到方便,更可推車運術及兼跑車出入村内, ,將[百一十碗,工程院成後村民可於在返村

納遊踪

音樂王國維也

黎松齡

版

「松寫於一九六九年三月廿五日於巴黎】 ,他熱永恆的,是崔真正正無日落之帝國。一黎

•KUKKRASN-EAR I BREKERT

| 和財富,但他們擁有的却点一份極貴的藝術班產 |後盟阱的分割和佔馔,難使具國人民失去了土地 SEX-EFHEAR-TRIKEKKE 一介紹,還可惜。神聖馬帝國的神亡,奥匈 艾因為鹹關係,不能把全部所參觀過的地方,一 多,而低者因時間所限,未全部作心障, 在飛題的城市,首都内值得一游的地飞在太 ,維也納不但是音樂之都,也岳飛灘西洋藝術造 【週推出將之,在這幾段旅途中,縱者業深感到 北三日早上十時乘火車淋巴案,結為期一

旧加不冤破澳了大自然的海戰了。 代化的時候,工業和交通迅速發嫩起來,人口的 生的時候,多瑙河眞的藍色的。但今天都市現 河中,河水倒有幾分擔。可能也約翰史科勞期在 座。我坐在河畔,仰望長空,一片製造,倒映在 「大小船舶很多,對岸有尖頂的教堂和紅屋頂的小

·帶泥費;剂的两岸也没有什麽鏡光,不過河中 來眞難以令人苦恼,多瑙河並不窖,而是濕海中 响化了的名詞。多瑙河究裙是不無染色的?說 的河流,旁鏓維也納面過,是約翰史特勞斯用音 镁河及二千八百五十公里,是歐洲第二,張丹 遊熱維也納森林,是日下午朗在多瑙河畔。

只二第張七第二日五廿月二年蓝己屋區 WAH KIU YAT PO

1969

現代數學科

(廿三)

MODERN MATHEMATICS (23)

If A, B and C are mätrices of appropriate orders

then A(BC) AB AÇI

Proof :

Let

and

ik pxn

故

A(BC)

- (É •~*~). . . (E). E)..

AB AC

herefore, A(BC) AB

If A, B and C are matrices of appropriate orders then (BC) A BACA.

The proof of (4) is similar to that of (3). Notice that since matrix multiplication is not commutative, A{D • C) / (B + C)A.

For each square matrix A, there is always another square matrix called 1 of the same order such that

AI - IA - A, where 1 is in the form 1 o on A is a square matrix of the same

Proof

Lat

#11

21

ལྷས

H

23

31

32 33

Similarly, we can prove „IA - A

11. Worked examples

010

001/

(1) IF A

3) (1)

find 2A

^ ( 2 3 3 )

3B. Solution:

24

20

2.- (2)()()

3B

B (393)

··-( : ) - ( ))-(3-3-9).

2) 22 ~ - (^13) 8 (011) 33,

3xx2

ABC, CD, and CDA.

Solution:

The order of AD, or

The order of ABC or

stat

0 - (033)x3

the orders of AÐ

12x3

makes no sense, because the number

of columns in B is not equal to the number of rows in c.

The order of CD is 4 x 2. and that of CDA

184 x 3.

There are 12 girls and 14 boys in a form. The numbers who read the magazines Life, Hone journal, and amusement are

Life Home Journal

Amusement

10

1969

生物科

學會考試題預習

(#)

I BIOLOGY (23)

Answer to the questions of last week:

廖百特·

1. What do you understand by "Respiration"? What is

the difference between external and internal (tissue) respiration? Explain the importance. respiration in the Lives of living organisms

Respiration is a process in which the assimilated food substances on the body substances are oxidized or broken down, with the help of oxygen, to liberate energy for the various body activities. As a result of this procesa, darbon: dioxide and water are formed as waste products.

The process of respiration can be divided into: (1) External respiration:

& process in which blood is necessary for carrying oxygen from the environment to the body cells and returning carbon dioxide to the environment.

In the lungs, pulmonary capillaries are almost in direct contact with air, and th exceedingly thin walls of these vessels readily permit the oxygen from the air to pass into blood and the carbon dioxide of the blood. Into the air. This exchange by which the blond. gains oxygen and loses some carbon dioxide: (11) Internal (tissues) respiration:

After the oxygen diffuses into the pulmonary capillaries, the oxygen combines witn the haemoglobin of the blood cell, and is carried to the tissues where

constantly use oxygen for the cells

idation or rood with the production of energy, while carbor dioxide and water are given off as waste products. Therefore, we may conclude that. Internal respiration involves the oxidation food within the tissus calls together with the utility of oxygen.

For the maintenance of life of the body must be supplied with a large amount of different substances, but it is a matter of common observation that the most urgent needed is a continual supply of oxygen. Of equal importance is the constant elimination of the waste products, the carbon dioxide and water. Although a muscle obtains its energy directly. from various substances; nevertheless,-oxygen is required for the utilization of these. substances. The body is liberally supplied with reserves of energy-furnishing materials, such as carbohydrates, fate and proteins. But, as. axygen is normally readily available, there is no need to provide the body with stores of oxygen. Oxygen, without which the above mentioned reserves would be of no value. antast be furnished from the environment. As the power of the body to defend itself against the deleterious effects of carbon dioxide is exceedingly limited, this waste product must be removed almost as fast as it is formed." Respiration is responsible to carry out the above mentioned processes of the body. Hence, why the respiration is important in the lives of living organisms,

Describe the structures of the lungs and trachea of

Named mamma 1. Explain as far as you can how this mamal fills its lunga with air. Ans.

The human Lungs are paired structures which together with the mediastinum fill the thoracic cavity. On the right side, the lung is divided by two deep clefta into three lobes; on the left side, by a single deep cleft into two lobes. Entering the hilum, and forming the root of each lung are s bronchus, a pulmonary artery and vein, bronchial arteries and veins, lymphatics and nerves. These structures are embedded in connective tissues. The branches of bronchus profusely within the lungs and

Life

Home journal Amusement

60

Arrange the data above in the form of matrices, and find the total number of pages read by the girls and by the boys. Solution:

the walls of the respiratory passages become pr

gressively thinner, sach passage eventually

terminates in an alveolar sac whose walls are

puckered by pocket-shaped alveoli. A dense network

of pulmonary capillaries is intimately associated with the walls of the alveoli.

The trachea is a tube-like structure which extends down the neck and finally divides into bronchi that lead to the pair of lungs. Each bronchus gives off numerous smaller, a tree-like branches, and each of these smaller branches terminates in an alveolar sac which is made up of a number of pocket-shaped alveoli. Unlike the oesophagus, the trachea is held open by C-shaped cartilaginous rings and its branches are limed with mucous membrane covered with a ciliated epithelium.

Larynx

Trachea

Bronchus

-Thyroid Cartilage

Cricoid Cartilage -Cartilaginous ring

-Air Sacs

(Alveoli)

Spongy Elastic tissue

A diagram showing the trachea and lungs part of Spongy and elastic tissue has been removed to expose air sacs.

Human lungs are ventilated by changing the dimensions of the thorax, and consequently the Pressure within the lungs,

During inspiration, the thorax is enlarged by the contraction of the dome-shaped diaphragu and the intercostal muscles. The diaphragm pushes the abdominal viscera posteriorly and Increases the length of thoracic cavity; the external intercostals raise the sternal ends of the ribs and expand the dorso-ventral diameter of the thorax. When the size of the thorax is increased, intra-pulmonary pressure (the pressure within the lungs) falls, and air passes into the lungs until intra-pulmonary an atmospheric pressures are the same.

During expiration, the relaxation of the diaphragm and the intercostal muscles; while the contraction of the abdominal muscles thus decrease the size of the thorax, in this way, the intra- pulmonary pressure is raised, and air is driven out. of the lungs until equilibrium is again reached.

Questions for this week:

what are the main functions of a spinal cord associated with the co-ordination of the nervous system? Make a labelled drawing of a typical spinal cord as seen in cross-section and give an account of its structures shown by your drawing.

2. What do you understand by (a) reflex action,

* (b) voluntary action, and (c) conditioned reflex, Give an example of the reflex action, and explain clearly the mechanism involved in its performance.

(1) Given A

1000 01:00

02

B

10.

0 0 1

find AB and BA.

(2) Express as a matrix

(

find A A OF

11:0 20

5 11

60

(3)

/11 x 720 x 60 + 10 x 48

(4) LE-A

B

Boys 11.

Girls

ཏ་

The number of pages in each of the magazines is

5 x 72 11 x 60 + 4 x 48

/12/7-2

1 2.1 2.

12. Work for this week

)

A - (1 1) and 8-(-1)

(11)

find (AB)

and

(5) Let 1 be the identity matrix of the order 3 x 3.

Find 12, 13 and What is your conclusion about the results.