A book on additional mathematics -- Logarithmic and exponential functions

Book overview:

This book covers logarithmic and exponential functions suitable for Cambridge IGCSE and O level students. Different types of mathematical problems and their solutions are there. in the I have written this book for the students who face difficulties to solve mathematical problems of logarithmic and exponential functions. This book has 12 sections. Each section contains different types of exercises of mathematical problems about logarithmic and exponential functions.

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The sections are -- History of logarithms, Logarithms to base 10, Logarithms to base a, The laws of logarithms, Solving logarithmic equations, Solving exponential equations, Change of base of logarithms, Natural logarithms, Practical applications of exponential equations, The graphs of simple logarithmic and exponential functions, More about graphs, The inverse of logarithmic and exponential functions, and Examination questions.

বাল্য়প্রেম

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কবি: লিপন মুস্তাফিজ
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তোমার জন্যে ঘুরতে ঘুরতে

হন্য হয়েছি আমি ।

তোমায় ভালোবাসতে পেরে

ধন্য হয়েছি আমি ।

তোমার পাড়ার মোড়ে

দাদাগিরি করেছে দাদারা,

দফায় দফায় মিটিং করেছে,

তোমার বাবা চাচারা ।

তবু আমায় তারা, থামাতে যে পারেনি ।

তোমার প্রতি ভালবাসা আমার একটুও কমেনি ।

বরং চিৎকার করে বলি

”ভালোবাসি তোমায় ভালোবাসি” ।

শিল্পী আমি গান গাই, তুমি আজ ডাক্তার ।

আমার গান শুনবার, সময় কই তোমার ।

একদিন এক ফোন এলো,

করে আমায় এলোমেলো ।

তুমি নাকি আজ বিধবা হয়েছ,

জামাই চলে গেলো ।

আমার চোখে নেই পানি বরং খুশি হলাম জেনে,

এবার বোধহয় তোমার বাবা আমায় নেবেন মেনে ।

বিশ্বাস কর তোমায় আমি ভালোবাসি

আগেও যেমন বাসতাম

কল্পনাতে তোমায় নিয়ে দেশ বিদেশ ঘুরতাম ।

চিৎকার করে ডাকি শোন তোমায় আমি বলি ।

এখনো ভালোবাসি তোমায়, দাও না যতই গালি ।

শুধু জেনে নিও তোমার জন্য হৃদয় আজও খালি ।

আমার হৃদয় আজও খালি ।

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কাব্যগ্রন্থ: ভালবাসার মেঘ কেটেছে
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এই শহরে আমার আকাশ

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কবি: রশিদ হারুন (১০/১১/২০১৯)
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আশ্চর্য !!
এই শহরের
একবারও কেউ দেখলে না !
আমার আকাশটা অনেক দিন ধরেই
তার বাড়ির বারান্দায়
ভিজে কাপড়ের মতো রোদে শুকাচ্ছে
একটি অদৃশ্য সুতোয়।

সেখানে মন খারাপ করে বসে থাকে
অসংখ্য ভিজে রোদ।
সেই ভিজে রোদ
একটা ’করুণ পাপিয়া’ পাখি উড়ে,
ভিজতে ভিজতে উড়ে
একটা সুতো কাটা ঘুড়ি।
আর ঝরঝর করে ঝরে পড়ে
আর ফরফর করে ওড়ে
এক বুক মেঘলা বাতাস।
সাথে হাজারো ডানা ঝাপটিয়ে উড়ে বেড়ায় আমার ‘না ফেলা দীর্ঘশ্বাস’।

আমি এখন এই শহরে ভিজে রোদ ফেরি করি।

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কাব্যগ্রন্থ: একটি আউলা-ঝাউলা জীবনের প্রার্থনা
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জলের গান

জলের ভেতর জল চলেছে -- যাচ্ছে অচিনপুর
গ্রাম ছাড়িয়ে দেশ ছাড়িয়ে গড়তে সমুদ্দুর।

ঢেউয়ের পর ঢেউ চলেছে -- নেই তো পিছুটান!
ছলাৎ ছলাৎ ঐকতানে চলছে জলের গান।

জলের গানে নদীর কোলে জলের আহ্বান
একূল-ওকূল দুকূল ভরে আসছে জলের বান।

বানের জলে উপচে নদী -- ভাসছে বালুর চর
ভাসছে জলে কলমিলতা খড়কুটো আর ঘর।

ঢেউ ভেঙে ঢেউ -- ঢেউ উঠেছে তীব্র কোলাহলে
এপারের ঢেউ ওপার হয়ে -- আছড়ে পড়ে কোলে।

আছড়ে পড়ে নদীর কোলে -- ভাঙা নদীর পাড়
এপার-ওপার দু’পার ভাঙে -- নিঃস্ব জমিনদার।

নিঃস্ব মালিক নিঃস্ব ভৃত্য -- দৃশ্য করুণ তার
জলের গানই চলছে জলে -- ভাসিয়ে অকূলপাথার।

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কবি: মিজাহারুল ইসলাম
গ্রন্থ: অবাক জোছনা
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বইটি পেতে যোগাযোগ করুন: rokomari.com অথবা dhakar-bazar.com

অপেক্ষা অথবা মায়া

গভীর রাতে না ঘুমিয়ে আকাশে তাকিয়ে থাকি,
এ যেনো এক ভুল অপেক্ষা অথবা মায়া।
বিছানায় শুয়ে আছে অনেকদিনের পুরোনো
নিঃসঙ্গতা,
বুকে বাজছে না দেখা কষ্টের টিউন।
মোবাইল ফোনে রাতের বেলায় নষ্ট ম্যাসেজের ডাকাডাকি।

ঢাকার রাস্তায় প্রচণ্ড জ্যাম,
ট্যাক্সির বিল বাড়ছে লাফিয়ে লাফিয়ে,
পকেট হালকা হবে আজ অনেক।
ব্যবসায় প্রচণ্ড লোকসান
তবুও হাসি ধরে রাখি শেষ মূলধন ভেবে।

বাড়ি ফিরি সূর্য ডোবার সাথে সাথে,
হারিয়ে যাবার ভয়ে।
কলিংবেল বাজার আগেই দরজা খুলে দাঁড়িয়ে থাকে সেই পুরোনো একাকিত্ব।
আমার সাথে ঘরে ফিরে
মিথ্যে কিছু স্বপ্নের ছায়া।

রাতে জেগে থাকি তবুও,
মাঝে মাঝে আকাশ থেকে চোখ নেমে আসে মোবাইলের স্ক্রীনে,
ম্যাসেজের ডাকে,
হঠাৎ করে ভেসে উঠে একটি লেখা,
”তুমি কেমন আছো?”
আশ্চর্য, এতো বছর পর মনে পড়লো
আমার কথা।

আমি শুধু রাত জাগি
তোমাকে বলতে,
”আমি ভালো নেই, তোমাকে ছাড়া,
একি ভুল অপেক্ষা না মায়া?”

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কবি: রশিদ হারুন
লেখার তারিখ: ১১/০৬/২০১৯
গ্রন্থ: “আমার মন খারাপের রাতে তুমি ঘুমিয়ো না”
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বইটি পেতে যোগাযোগ করুন: rokomari.com অথবা dhakar-bazar.com

প্রেমিক হতে গেলে স্ট্রেইট বলতে হয়

মনোলীনা,
প্রতিদিন সকাল থেকে তোমার বাড়ীর ঠিক উল্টোদিকের রাস্তায় দাড়িয়ে থাকি।
দাড়িয়ে থাকতে থাকতে -
কোনদিন ল্যাম্পপোষ্ট হয়ে যাই,
কোনদিন গাছ,
অনেক সময় পাহাড় হয়ে যাই,
রোঁদে হয়ে যাই পিচ্ পোড়া রাস্তা,
বৃষ্টিতে নদী হয়ে যাই,
বাতাসে উড়ন্ত ছেড়া কাগজ।

এতেও কাজ হবে না ভেবে,
মাঝে মাঝে গলির মাস্তান কুকুর হয়ে যাই,
পাহারা দে‌ই তোমার বাড়ীর দরজা,
কোন অপরিচিত মানুষ যেনো দরজায় টোকা না দেয়,
অনেক সময় লোভী বিড়ালের হয়ে
জানালায় উকি দেই।

তারপর কিছু সময়ের জন্য কবি হয়ে
তোমার বাড়ীর রাস্তা আর দেয়ালের প্রতিটি ইঞ্চিতে কবিতা লিখি মনে মনে,
“ ভালোবাসি, ভালোবাসি, ভালোবাসি”।

শুধু শুধু ল্যাম্পপোষ্ট , গাছ, পাহাড় , নদী , ছেড়ে কাগজ ,কুকুর , বিড়াল আর কবি হয়ে লাভ নেই,
তোমাকে আর ভালোবাসা হবে না কোনদিন,
ভালোবাসতে হলে প্রেমিক হতে হয়।
প্রেমিক হতে গেলে স্ট্রেইট বলতে হয়।

মনেলীনা,
অনেক হয়েছে,
তুমি বাড়ীতেই থেকো,
আজ প্রেমিক হয়ে তোমার দরজায় কড়া নেড়ে স্ট্রেইট বলে ফেলবো,
“ ভালোবাসি, ভালোবাসি, ভালোবাসি”।
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রশিদ হারুন
কাব্যগ্রন্থ- আমার মন খারাপের রাতে তুমি ঘুমিয়ো না

Evening Prime Rose

Its another name evening star and scientific name Oenothera biennis.

Evening Primerose

 It grows well in Newfoundland west to Alberta, North America, southwest to Texas, southeast to Florida and subtropical regions.From this plant evening prime rose oil is produced.
Its life span is two years. Its plant height is 30 to 150 cm. Its plants height is 5 to 20 cm.Its flowers are blooming from late spring to late summer.Its flowers are harmaphrodite and blooming in evening time , so it is called evening primerose.Its flower pattern is invisible to the nacked eye and visible under ultraviolet light.
Its another names are fever plant, hog weed, German rampion etc. Its seeds are important food for birds.This plants leaf was used as a vegetable.

Evening Primerose

i phone 7

The peoples are expecting for i phon 7. In 2015  i phone 6s had new features and it attached with new  improved  camera  and better processor.   In 2016, we are expecting i phone will adding with new features . Its length will  be 4.7 and 5.5 screen. Its front side may have some changes such as  a longer earpiece cutout and ambient light sensor may be relocated . Its may have  flush touch- based home button.
It is expected that i phone 7 will  have  next generation A10 processors and it is manufactured by TSMC. Its entry level devices may have 32GB instead of 16GB. I phone 7,s ram will be 2GB and i phone 7 plus will be 3GB.
 i phone 7 plus may have a different camera option and it may use two camera  instead of one 2-3 x optical zoom. It may have facility to use  in low light condition for good pictures. i phone7" design - 1.It may be metal body of bezel -less.
2. It may be water resistance 3.It may have redesigned antenna.  Its color will be mix with space black shade. i phone 7 may be slimmer than i phone 6s. i phone7 may have ruggedized features and it may be water resistance and dust resistant phone. i phone 7 may have a large camera and without antenna bands.

i phone 7

i phone 7

i phone7

Comparison between peer- to peer Networks and Client network

Summery -
Peer- to Peer Networks
1. It is easy to set up                                   Client or server networks - 1. It is more                                                                                difficult to set up.
2. Its nstall is less expensive.                            2. It is  more expensive to install.
3. It needs wide range of operating system.   3 . It needs a operating system that                                                                                         supports network.
4. It needs more time  consuming to maintain   4. It needs less time consuming to
     Software based used.                                                                                maintain
                                                                                     Software based used.
5. It is maintenance by indidually.                        5. It is maintenance from the                                                                                                   server
6. It has low level of security and depends on the     6. It has high level of security
Operating system.                                                             and controlled by the server.
                                                                                              It is prevented from the
7. It is ideal for less than 10 computers.                              deletion of files.
                                                                                                 
                                           .                                                        7. It has no limitation to      
                                                                                                    uses  more computers        
                                                                                               and it is supported by the           8. It has no need to use a server.                                  networks.
                                                                                                8.     It needs a server                
9.It needs moderate level of skills to administer              9. It needs high level of                                   network operating system.                    It skills and more                                                                                                                  knowledge about server                                                                                                              operating system.  
                                                                                                                                               o.                  
             Components of Network - At least minimum 2 computers. There are cables are connected to computers each other.  There is  wireless connection also very welknown to us. Network interface device is connected in each computer and us called network interface card or NIC. There is Switch used from one point to another for switch the data.
It is connected to Network operating system software.

Structured Cabling -
There are two types of network cable such as  twisted- pair ( 10 Base T) and thin coax ( 10 Base 2).

Twisted- pair cable

Twisted- pair cable looks like a telephone wire but exceptionally, it may have 8 wires And inside may 4.   Thin coxial cable looks like copper coaxial cable and used vedio recorder to a TV.

Thin coaxial cable

Computer Networking

Introduction-  _
It helps students to understanding in computer networking .
In the school, it helps development  the current stage of  networking .
It also assists the  students to next stage of networking planning.
It provides standard networking models and best practice and students get more benefit from it.
It includes some main headings such as
1. Network introduction . 2. Network advantages. 3. Types of Networking.
4.Appropriate models of Networking. 5. For NCTE recommendations.
Basic Networking -  It means that when connection of various computers , printers and another devices and communicate with each other through internet server then it is called Network. There is an example such as  Network in a school means that the computers are connected with local area network or LAN through internet , server .
There are two types of Networks such as Peer -Peer to Networks and Client or server Networks.
Peer to Peer Networks-

when connected with less than 10 computers through internet and security is not necessary in this . These computers have same status and they have a capacity to communicate with each other on an equal footing.It can be shared any spread sheet documents or word processing documents through internet and can share any devices such as scanners or printers with computers through this net.
Client or server Networks-  It is the larger networks for computer.  There is a central server or computer that acts as a storage location . It is higher than average performance computer. It can controls others computers . For an example , teachers and students in a school and they can use internet for their various works. And it is called client network. In this type, network administrative has only rights in server.

Basic about computer

Computer and its parts

Computer has several parts like hardware , software , CPU, monitor, keyboard , mouse.  Hardware means parts of the computer such as CPU, monitor, keyboard, mouse etc. Software means word processing program .
CPU _ It is like  the brain of a computer .  It acts like stores , processes , communicates information . It has memories also. Memori stores data on disks.

Word processing program and the operating systems are both stored on cpu hard disk.

Monitor _ Monitor is like as televishion . It communicates all information from the computer. It acts as a screen.

Power switch -  CPU and monitor have power switch that turn on and turn off them.  They have a symbol .

Printer - It is a type of device that takes information such as pictures and texts from computer and on a paper it prints .

Keyboard - It is an important tool to communicate with computer for a user.
It is composed of key tools and it sends signals to the computer and computer can carry for processes and programs.
It is found various sizes and shapes but all have same purpose.

Mouse- It is used like as a keyboard and it communicates with the computer. It is like a remote control for tv.

BLEPPING COMPUTER

The Bleeping computer discussion forums uses _ Bleeping computer has a very powerful feather of the discussion boards. You can share information , can post questions and answers or chats .When you face with on your computer , that is the site where you can ask any questions. This discussion boards have more extra facilities of extensive self- help guides and they can help you from your computer how to remove malware and spyware threats . This board will discuss about new information ,  reply of other posts . It can be a rich resource for a computer.
The Bleeping computer Front page uses tips_
This board can teach you how to use and solve your computer problems in an easy way . It can teach you and support you about problem of your computer .

Do you know about cloud ?

Here, cloud means internet. It is a modern technology and anyone enjoy and browsing this. It has more facilities to access more things like email,  drop box, calendar , files etc  in a computer. You can use drop box and it can share and store files with other person. From a mobile device you can easily access your files.

Evernote
It is a serviceservice that it can take photos, clip webpages,and you can type notes  in your mobile or computer.
 Mozy and carbonate
It has more facilities for backup your data .   If your computer is damaged or stolen but it can back up  alwebapps
Webapps
You can use webapps that is no need installed in your computer .
It is the live apps in the internet .
Google Docs
It is a web apps and it can spreadsheets and create documents in the internet.

Computer tutorial

Computer

Computer 

is an essential electronic data machine  in modern day.
Computer is uses for various purpose such as 1. Businesses
a.Sales analysis
b. Budgeting
c. Payroll calculations .
d.Maintenance of stocks .
e. Financial forecasting .
Computer is capable of diligency , accuracy , calculation , reliability , versatility etc.

 2 .Banking
Banking is  dependent on computer .Computer has facility on online accounting  and it keeps deposits , current balances , over drafts , interest  charges and shares records. It has facility for ATM machine deal with bank.
 3. Insurance
Computer helps to Insurance companies for keeping all records.
Database is maintaining for Insurance companies .
Servival. Benefits , bonus , maturity date, starting of the date etc .
 4 . Education
In the education , computer provides more facilities . It provides computer based education .  It means   delivery , control , evaluation of learning , This method is increasing rapidly . To educate the students , many more education institute use computer . For a student it makes database.
  5. Marketing
It can create advertise in marketing such as it can creates arts and graphics , write and revise copy ,   print and desseminate ads.
Home based shopping
Home based shopping is possible by use of computer and anyone can buy any product through catalog of product and can order directly for product easily to use internet. Computer can provides  health care , Engineering design , Military , Communication , Government etc.

Using Filters in Photoshop

Hi viewers,
Don't you like to sketch your images or other photographs? You can create sketch images by using different photo editing software like Photoshop. I used the Filters to sketch my own image. Look at the images before and after applying Filter:

Before applying Filter

After applying Filter

At first open the Photoshop software. Then I open the original image. Then went to the Filter menu and select an option. There are varieties of filters in Photoshop. Different filters have different looks. Then, no more waiting. Just open the Photoshop and do it.

Thanks

History of Islam in Bangladesh

Arab Muslims were come to Bangladesh for the spread of Islam. They came via the Chittagong port.pala Empire ruled bangla at the 8th century to 12 century. Then it was Buddhist dynasty.At the 13th century Islam began in Bangladesh. A group of sahabis such as  abu oakkas, Tameem ansary, Quyes sairadi, Abu quyes Ibn Harisa  came to Chittagong during the prophet Muhammad(PUB))  alive in 618 and for a few years they preached Islam and afterwards  they went to china.

After the death of  the Prophet Muhammad(PUB) some of t5he sahabis came to Bangladesh such as Assem Ibn Amr Tameemi, Sahel Ibn Abdi,  Abdullah  Ibn Uthban, Hakim Ibn Abeel Assaqafi. Afterwards the Tabeyees came to Bangladesh such as Muhammad Mamun and Muhammad Mohaimen.

Muhammad Bin kasem  conquered Sindh in 712.  For the muslims it was  paved way.  In  the Bay of bengle  a  group of muslims  faced with storm in 778. At that time king Mabatoing gave them shelter and  he was very pleased for their behavior and intellects. They received several villages to settle.

Islam was spread in this way. Baezid Bostami came to Chittagong and preached Islam in 866 to 874. The muslims of Arakan established Islam in Chittagong in 954. At that time  the muslim was defeated by king Sanadya  . Shah Muhammad Sultan Balkhi came to Harirumpur of Manikganj via the way of river in 1053. Afterwards he went to Mohastangar of Bogra and  preached Islam there. Many mosques and Islamic schools were established there.  At that time king Parshuram rulled there and against this king fight was occur and this king was killed .  Princess Ratna moni and the Army chief Surkhab received Islam.  Shah Muhammad Sultan balkhi married to Princess ratna moni and  Surkhab was as a new king.

Shah  Muhammad Sultan Rumi reached Netrokona in 1053. The king of Madanpur invited by him for receving of Islam . First the king was refused but later he received Islam.  Baba Shah Adam reached at Bikrampur for preach of Islam but later with king Ballal sen he was martyred in a battle.

Shah Makdum Ruposh reached in rajshahi in 1184 for preach of Islam  there. He was the founder of  preaching Islam and established the base of Islam in a hostile environment in Bangladesh. Bakhtier Khilji came to Nadia in 1204 and attacked the king Lakxan Sen and Conquered theNorth Bengale such as Rangpur, Bogra, Dinajpur , Gaur. The Muslim rule was established in Bengale.

Sultan Mugisuddin Tagril of Lakhnauti reached Sonargaon in 1274 and he defeated the king Madhu Sen  and then Dhaka, Sonargaon, Faridpurwas under the muslim rule. A fort was build by him named as Killae- Turgil. In 1281 Bughra Khan rulled Bengal. Until 1290 he ruled Bengal and Barishal, Mymensingh came to under the muslim rule.

In Sylhet King Gaur Gavinda rulled there. Sultan Shamsuddin feroz shah sent forces twice time under the the chief army Sekandar gazi against king Gaur Gavinda in 1301.
   Hazrat ShahJalal asisted force With his 313 companions and Syed Nasiruddin ,Sikandar gazi fought against Gaur Govinda in 1303. Until his death Hazrat ShahJalal Preached Islam In 1446.
Under Fakiruddin Mubarak shah Chittagong was ruled in Muslim in 1340.From Chittagong to chandpur he built a road.
In Khulna division khan Jahan Ali reached and preached Islam from 1418 to 1449. He built 360 mosques, 360 ponds  and constructed ponds there.
Later he reached bagherhat and settled there. He built saat gombuj mosques there.

The writer of "Dossu Bonhur" -- Romena Afaz

Romena Afaz was

Bangla Books PDF: Download Freelancing Book in Bangla-Freelancer

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Avicenna (Ibn Sina)

Avicenna (Ibn Sina)

Ibn sina was  born in Persian , Afshona, peshkunskiy, Bukhara.  There are 450 books written by him and 240 books have written by him during his survived period. There are 150 books written on philosophy and 40 on medicine. He has written The Book of Healing  about a philosophical and scientific enclyopedia and The Canon of medicine about a medical encyclopedia. He has written

astronomy, geography, alchemy, Islamic theology, physics, poetry, logic etc.

Early life

Ibne sina was  born in Afsana, a village near Bukhara and at capital of the Samanids, greater khorasan in Uzbekistan. His father’s name was Abdullah and his mother’s name was Setareh. He was very talented and intelligence. He was memorized the entire Quran at the age of10. He couldnot "Medicine is no hard and thorny science, like mathematics and metaphysics, so I soon made great progress; I became an excellent doctor and began to treat patients, using approved remedies." Without payment he treated many patients.

understand the metaphysics of Aristotle. At the age of 16, he learned medical theory and he discovered new methods of treatment. At the age of 18, he achieved  as a qualified physician. In his opinion and thought that

Later life and death

He spent his later life as physician, scientific adviser . He said that "I prefer a short life with width to a narrow one with length".  He was freed his slaves and read the Quran thoroughly every three days until his death.

Philosophy

Ibn Sina had written about on early Islamic Philosophy, ethics, metaphysics, logic.  He had written in Arabic mostly. His books were translated into partial latin, Parisian. His psychology and theory was influenced by Bishop of paris, Willium of Auvergne, Alberts Magnus .

Flower island of Count Bernadotte

This garden has 45 hectares of land. It has veriours types of trees, shrubs, flowers. It has another attractions of a palm house and the

biggest butterfly house in Germany.
It is situated in the far south-west of Germany, Switzerland and Austria. More than million visitors visit every ear. In 1862 grand duke was planted very old trees of the victoria lime as mark of the birth of his daughter.There iis also about 150 years old tree pagoda. It has oaks, proud cedars, attractive citrus fruit. It has wealthy plants in pots and tubs. Above the treeline  the marvellous baroque palace can be seen. This  land is 500 years old and it is since 13^th century. There is 1,200 orchids in the palm house  and 1,000 exotic species in the largest butterfly house in Germany. It has other attractions of the palace church of st Mary. There is also about 9,000 roses and 400 varieties  flowers are blossom  there. There are  the lake Constance region  around this area and a museum of  the Fredrichshafen Zeppelin  near to this garden. This museum is only 33 metres  in length. There is also Meer

burg castle there and it is the  7^th century oldest one.