Thursday, 16 July 2015

Donald Duck in the 'Mathmagic Land'

Part -1

Describing the Video in Depth

Mathematics is the sole word behind the existence of this world. Nothing is possible without it. Mathematics has existed ever since! Many of the Mathematicians have discovered various concepts of math over time and the journey will continue till humanity exists. In fact many mathematicians have been born even before Christ! So now you can see how hold mathematics would have been.
Mathematics is connected to every single sphere of life. First and foremost we will talk about mathematics in music. The modern musical scale was discovered by the famous Greek Mathematician Pythagoras. It was discovered by applying the simple knowledge of fractions. Dividing a number by half and then further by half. (In this case a string) In this process when you strike the strings you get the identical sounds. Thus it was a simple concept of fraction that led to the foundation of today's music. The musical notes produced by the varying lengths of the string we were as follows: Sa-Re-Ga-Ma-Pa-Dha-Ni- which corresponds to Do-Re-Mi-Fa-So-La-Ti- the western system. These notes are referred to as the octave. An Octave is the distance between two Musical Notes. (physically the strings) Apart from music Dmitri Mendeleev, a chemist used these notes as the reference for creating his periodic table of elements discovered in his age. He in his table had divided the elements in 'Octaves' using their respective mass numbers as the reference. Pythagoras shared his secret discoveries with his 'Pythagoreans'. (Pythagoras's special groups of members) They discussed it in secret and only members were allowed. Members had secret emblem drawn on their hand 'The pentagram'.

Shape:- Pentagram and golden rectangles

Pythagoras discovered that the pentagram was full of 'Math Magic'. (Full of wonders and tricks) There are four lines segments in a pentagram. If we place them in increasing orders their lengths than the sum of shortest and the second shortest line segments is exactly equal to the third one and the second and the third sum up exactly to the fourth one. These exact proportions are called Golden Section. A golden rectangle can be created from the Pentagram itself. (In general words Pentagram is a star) Golden rectangle is the most remarkable shape. If you measure the sides of a golden rectangle and then start dividing the rectangle into two identical parts, a square and a rectangle even till infinity you would still get sides proportional to the one you did start with! Golden Rectangle also contains a magic spiral.

Greeks admired the golden rectangle a lot. The arts and architecture of Greeks, find in them the golden rectangle since they thought it to be so elegant. Many golden rectangles are found in their art and architecture. Art not only includes paintings but also Sculptures. After a few centuries the concept of golden rectangles was considered as a boon to the world of art and architecture throughout the western world. The paintings of Renaissance also included golden rectangles, the famous being the Mona Lisa painting. Today in the modern world, golden rectangle is included in paintings and architecture to a great extent. It would astonish you that even we humans are in golden ratio! Our body forms many golden rectangles.

Shape: Pentagon

Also note that innumerable Pentagons can be formed within the Pentagram and Pentagons. Pentagon is widely found in nature. Most of the flowers with five petals are of the Pentagonal shape. A few examples of natural pentagons are Petunia, Star Jasmine, Star fish and Wax flower, Hoya and sea shells. Everything prevailing in the nature has some significance with mathematics. Golden Sections are found in nature's spirals eg. Shell of a snail.  The gynoecium of a flower and the various branches on a tree are all in the mathematic golden proportion. The leaves on the trees are arranged in the trigonometric series.

Mathematics in games:
Chess:
Lewis Carol - a mathematician used chess as setting in his classic tales. Chess is a mathematical game of calculated strategies. Chess Board is also Geometrical with 64 squares. The moves are also mathematical and require nothing more than simple logic.

Almost all the games are played on the basis of geometrical laws. Football is played on a rectangle field divided by 8 lines. Basketball is game of circles, spheres and rectangles. Hopscotch a game of squares is also ultimately related to mathematics.

Three-Cushion Billiards: A game played on the field of two perfect squares combined to form a rectangle, with three spheres and a hell lot of diamonds. The cue ball must not only hit the ball but also it should hit at least three cushions before hitting the final ball targeted for. One should be an expert before he can hit more than three cushions before hitting the destination ball.

The Tricks of Mind:
This is a game played with circles and triangles in mind. Think of perfect circle. Put a triangle inside the circle. Now spin the circle. You get a sphere. Slice the top of a sphere and we have a magnifying glass. In fact all optical instruments are made with the aid of geometrical sphere, a lens for example. Thus the Magnifying Glass, Telescope, Microscope, Spectacles, Binoculars and endless other itmes are made up of a sphere. Role the circle and triangle together and you get a wheel, used for transport, the fast spinning fan of an aero plane! A Sphere, if found in to wheels, telephones, (old landlines) Digital disks like CDs, DVDs, HDDVDs and BDs and drum set.

Now if we just spin the triangle inside the circle we get cone. Slice off the cone from muddle. The remaining cone, which is its base, is used as a gear, a very useful component of many simple and compound machines.  Now keep on slicing the cone many a times, diagonally and then arrange all the slices with the base at the center of it. You get the orbits of all planets as well as satellites. It doesn't matter how you slice the cone, every time we get a different use. Again if you slice the cone from around its base diagonally, you get a reflector of a search light.  If you slice off the base of a cone you can get a mirror of the telescope. If the cone is covered with a horizontal line we get a drill and a spring! Isn't it truly amazing!!!

Mind is the birthplace of Man's all Scientific Achievements. The mind knows no limit when used properly. It is only in the mind that we can see till infinity, no object could probable ever reach minds capabilities. Indeed it is far beyond the imagination! Mathematical thinking has opened the doors for scientific thinking.

The Two Famous Quotes:
In the words of Galileo: "Mathematics is the alphabet with which god has written the universe." ("Les mathématiques sont l'alphabet avec lequel Dieu a écrit l'univers" - French version)
The words of Pythagoras: "Everything is arranged according to number and mathematical shapes." ("Tout est arrangé selon le nombre et les formes mathématiques." - Greek Version)

Part - 2

Reflection, critique and other elements

From the very beginning I didn't watch cartoons but this particular cartoon video was really amazing and unique. It was much similar to the one we had seen last year: 'Flatland' which was about 2-D and 3-D shapes. But this video has described in depth about Mathematics. It has brought out the importance of Mathematics in our lives. Almost every single thing mentioned in this video was new for me. Every seemingly boring point was presented interestingly. This is also a very good way in which the necessity of Math can be elucidated to young children. I recommend that this video must be watched by grumblers who say that Math is 'Useless and Boring'. I feel that this video must be shown in the school to all the students. `Mathematics is not simply about solving sums and framing equations but there are infinite other uses of Mathematics. In fact, after watching this video I believe that the numerical part of Math is just a very tiny part of the real majesty! This video was produced in 1959 so it doesn't surprise me to the think that the quality of video wasn't good enough. The audio and video of this video were relatively poor. In many places it became difficult to catch up what was being narrated. Therefore, after analyzing the importance, uniqueness and innovativeness of the video I believe that it should be retouched and be produced in a better quality. Though it has been produced in DVD quality in the year 2007 it is not appealing. The real life example shown here relating to the various games, shapes, nature, music and every other reference have elevated the importance of Mathematics in the video. Actually whatever I've described in the above paragraphs was something really new and exciting for me to know and so I'm not describing each and every thing in depth all over again.

Basics of a Computer

A computer is a programmable machine designed to sequentially and automatically carry out a sequence of arithmetic or logical operations. The particular sequence of operations can be changed readily, allowing the computer to solve more than one kind of problem. A computer does not need to be electric, nor even have a processor, RAM, or a hard disk. The minimal definition of a computer is anything that transforms information in a purposeful way.

Hardware: The mechanical, magnetic, electronic, and electrical components making up a computer system. It combines with the software to carry out the preferred tasks.

Software: Is a general term primarily used for digitally stored data such as computer programs and other kinds of information read and written by computers. They are the written programs or procedures or rules and associated documentation relating to the operation of a computer system and that are stored in read/write memory.

Network: Is two or more computers connected so that they can communicate with each other and share information, software, peripheral devices, and/or processing power. The information sent or received must be secured, (encrypted) or else it can easily be stolen by hackers and crackers. To understand the working of a network and thoroughly interpret communication one must also know about the OSI Model. (Open Systems Interconnection model)

OSI Model
Data unit
Layer
Function
Host
layers
Data
7. Application
Network process to application
6. Presentation
Data representation, encryption and decryption, convert machine dependent data to machine independent data
5. Session
Interhost communication
Segments
4. Transport
End-to-end connections and reliability, flow control
Media
layers
Packet/Datagram
3. Network
Path determination and logical addressing
Frame
2. Data Link
Physical addressing
Bit
1. Physical
Media, signal and binary transmission

Hacking: Hacking is the art of exploiting and using something beyond the manufacturer’s will.
Hacker: Hacker is a person who is an expert of computers and knows it very well. (Even the extra tricks and tweaks) He may gain unauthorized access to another person’s computer. (He is termed as Black Hat hacker, criminal) Another catches the black hat hacker and thus is known as white hat hacker. (the cyber police) And the last one doesn’t go about stealing and even about catching the bad guys; he hacks for himself and is known as a grey hat hacker!

 The computer comprises of CPU (Central Processing Unit) which is its main part. It contains all the hardware necessary for the operation of a computer and contains all other ports with which you can connect other hardware necessary for its functioning. (eg. Monitor, USB – Universal Serial Bus, etc)


Motherboard: Motherboard is the main part of the CPU. It has all the ports for the peripheral devices and its inbuilt circuits. (Peripheral devices are like the add ones to the system. They don’t form its core but they extend its capabilities) Motherboard is the central printed circuit board (PCB)
Note: The arrangement of the motherboard shown below changes according to the companies and up gradations and enhancements but the basic structure remains the same.
  
A microprocessor carry’s out the functions of a computer's central processing unit (CPU) on a single integrated circuit (IC, or microchip). It is a multipurpose, programmable, and clock-driven, register based electronic device that accepts binary data as input, processes it according to instructions stored in its memory, and provides results as output. It’s speed is measured in GHz or MHz (1GHz = 1,000,000,000 Hz) and is referred to as the CLOCK SPEED. (Clock speed or clock rate is the rate of cycles or tasks per seconds) When the CPU executes tasks, it does so at a certain speed--think of a worker picking fruit. The faster the worker picks the fruit, the better. The processor's speed is measured in tasks per cycle, and a cycle is one second. So a speed of one megahertz--(mega equals one million) means the CPU executes one million tasks per second. There is always a fan fitted over the processor to keep it cool.

Multiple Cores
Most modern computers have dual-core processors, and some even have triple- and quad-core processors. This means that there are two or more distinct processors that can work in parallel. This is more efficient than one high-performing processor, but it can also put strain on the rest of the system.



RAM (random accessing-memory)
§  Memory, often abbreviated as RAM or Random Access Memory, is just as important as processor speed. When the computer is working on a task, it can temporarily store information in the memory to be worked on later. The information stored in the RAM is removed when the power is disconnected from it. (for instance – Shutdown, restart) RAM is a form of computer data storage. There are various types of RAMs:
§  DRAM (e.g., DDR, SDRAM) {Dynamic RAM)
§  SRAM (Static RAM)
§  In development
§  T-RAM
§  Z-RAM
§  TTRAM
Note: A computer may not boot up (start) if the RAM (at least1) is missing or not fit properly. In that case it makes BEEP-BEEP-BEEP sound and then shuts down automatically. In such cases check the RAM first.

CMOS Backup Battery
CMOS Backup Battery is used to retain the system’s configuration (e.g. BIOS settings) and its clock circuit (time) Rechargeable or primary Lithium batteries (Non-Rechargeable) are used. Primary batteries need to be regularly checked and replaced while the rechargeable batteries need no care.
BIOS
BIOS - Basic input/output system, also known as the System BIOS or ROM BIOS. BIOS is the first code which runs on the PC when powered on and is responsible for the starting of the operating system. When the PC starts up, the first job for the BIOS is to initialize and identify system devices such as the video display card, keyboard and mouse (Pointing Device), hard disk, CD/DVD drive and other hardware. The BIOS then locates software held on a peripheral device (labeled as a 'boot device'), such as a hard disk or a CD, and loads and executes that software, giving it control of the PC This process is known as booting, or booting up, which is short for bootstrapping.
HDD (Hard Disk Drive)
Hard disk drive is a type of computer data storage. In olden times the HDDs were quit small, only about 3-4 GBs (Giga-Byte) but now the capacities have become considerably large, almost up to 2TBs (Tera-Byte) However yet the capacity of whole world’s hard disks and storage hasn’t reached up to one YB. It has been reported that by 2006 it had reached to almost 160 ZBs. Modern HDDs are attached via, serial ATA (SATA) or serial attached SCSI (SAS) cables. Earlier it used to IDE.

Data Units:
1 Bit (the smallest part)
1 Nibble – 4 Bits
1 Byte or an Octet– 8 Bits
1 KB (Kilo-Byte) - 1024 Bytes
1 MB (Mega-Byte) – 1024 KBs
1 GB (Giga-Byte) – 1024 MBs
1 TB (Tera-Byte) – 1024 GBs
1 PB (Peta-Byte) – 1024 TBs
1 EB (Exa-Byte) – 1024 PBs
1 ZB (Zetta-Byte) – 1024 EBs
1 YB (Yotta-Byte) – 1024 ZBs
You may also come across terms like Kbs, Mbs, Gbs in that case it becomes Kilo-Bits, Mega-Bits, Giga-Bits and so on. To convert it to KB, MB or GB and so just divide the value by 8. This nuisance is used widely on the internet to attract users to their Downloading sites. Therein they ensure their user that they give 2000Kb/s downloading speeds or more which is merely 250KB/s! Many users get easily trapped! And of course the speed also depends on your internet connection speed! (Capitalization is in case sensitive)

Think Quest: Why 1024 and not 1000?
Answer: Because, the primary language of computer is Binary language. (Binary – Two) Therefore 1 bit becomes two, then 4, then 8, and so on. Thus reaching up to 1024 and not 1000 (Thousand can’t be reached in this sort of doubling) Binary language has two codes – 1 and 0. 0 – for a circuit means off and 1 means on. Whatever we give as the commands the computer first converts the command to its binary form that’s the combination of 0s and 1s up to 8 characters to form a byte. (Of information) There are many programming languages which are known as Higher-Level Languages. (E.g. C, C++ etc.) The programs are written in these languages, but still the computer has to convert these languages also to the binary codes. Since this process would be tiring hexadecimal numeral system was invented. Hex means with the base of 16. It uses 16 symbols:  09 to represent values zero to nine, and A, B, C, D, E, F (or alternatively af) to represent values ten to fifteen. It represents four bits. (a nibble) For example: 2AF3 is equal, in decimal, to (2 × 163) + (10 × 162) + (15 × 161) + (3 × 160) , or 10,995.
  
Digital Storage Disks

                     CD: Compact Disk                                                                                   

Capacity: 700MB (generally)

DVD: Digital Video Disk
Capacity: 4.7 GB (Single Layer), 8.5GB (Dual Layer

HD DVD: High Definition Digital Video Disk
Capacity: 15 GB (Single Layer, 30 GB (Dual Layer)

 BD: Blu-ray Disk
Capacity: 25 GB (Single Layer), 50 GB (Dual Layer)

Video and Resolution
Many a times you may have come across the Term Resolution. The display resolution of a digital television or display device is the number of distinct pixels that can be displayed. In digital imaging, a pixel, or pel, (picture element) is a single point in a  raster image, or the smallest addressable screen element in a display device. Raster image or bitmap is a data structure representing a generally rectangular grid of pixels, or points of color, viewable via a monitor. Data structure is a particular way of storing and organizing data in a computer so that it can be used efficiently. In computers any color is represented by three – four basic colors namely, red, green, and blue, or cyan, magenta, yellow, and black. A resolution may be represented like this: 102x64, 240x64, 320x200, 1280x720, 1920x1080, and 4096x2304 up to 28000x9334. (All of these have a specific name. For example 1280x720 is called 720p HD and 1920x1080 is called 1080p or i HD where p stands for progressive scan and i stand for interlaced) HD DVDs and BDs are made for recording 1080p HD Video content in it. The higher the resolution the bigger the picture gets. General TVs have a resolution of 1080p or 720p. 1080p is also known as full HD. As the picture size increases, at the same time the file size also increases. For example a full HD video of say 1 minute may be of 80MB, but at the same time the same video encoded in 28K (28000x9334) may be of a 10GBs! A video size is compared by the number of pixels it contains. A full HD has 1920x1080 pixels (2073600 pixels) while 28K video has 28000x9334 pixels (261352000 pixels) which is almost 126 times greater than  full HD. (thus 126 times larger pixel count) Full HD has a bit rate of merely around 10MB/s while 28K has the Bitrate of around 225MB/s or 500MB/s! More the Bitrate, the better the quality.

Hardware and Software go hand and glove. (For one to function, other must be there) So when your hardware is ready you must have the corresponding software to make use of the materials. In olden times computers used to run on DOS-Mode. (Denial of Service) Today it is referred to as Command Prompt. Earlier people used to work in that mode only, wherein they had to type the commands to accomplish their tasks. After a few years the concept of operating system came in. It is known as GUI – Graphic User Interface. Operating systems had a goal to accomplish. Instead of working in a black environment with white fonts continuously typing, it gave users the option to handle information with graphics and writing both. An operating system (OS) is software, consisting of programs and data, which runs on computers, manages computer hardware resources, and provides common services for execution of various application software. Even in modern systems command prompt forms the core of the operating systems but now generally it is not preferred due to its hardships. But it is also a fact that Command Prompt is still today that efficient, sometimes better than operating systems! There various companies creating their own operating systems, example Microsoft Windows, Linux, Google Chrome OS, Macintosh etc. with a basic idea to give their users comfortable and flawless usage. Almost 90% of the computer users prefer Microsoft Windows, but at the same time it is also a fact that Mac is a Leading OS all over the World. It is way more costly than any other Oss but it is a satisfactory result. Apple is the creator of Mac. (Macintosh) Apple is also the number one creator of laptops. All Apple products are costly but they are better than any other products.

Microsoft has created its operating systems through 1993. Its first OS was Windows 95 followed by 98. Today in latest we have Microsoft Windows 7. It had many versions:  Starter, Home Basic, Home Premium, Enterprise, Professional and Ultimate in both 64 Bit (x64) and 32 Bit (x86). Windows 7 Ultimate is the best Edition of windows 7 having all the features.
Besides building operating systems, Microsoft has also contributed in building up office. Its first office to be released was Microsoft Office 95 and its latest office right now is Microsoft Office 2010.  It also has many versions: (office 2010) Office Starter, Office Standard, Office Professional Academic, Office Home and Student, Office Home and Business, Office Professional, Office Professional Plus and Office Mobile. Out of them Office Professional Plus is the best edition having all the features of all office suites, excluding office mobile because that’s a different thing altogether.

Office Professional Plus 2010:  
Word: Short Cut to run it, Press the start button along with the ‘R’ key. A Dialogue box will appear. (Run) Type in ‘winword’ and hit enter.
Excel: Short Cut to run it, Open the run dialogue box and type in ‘excel’ and press enter.
PowerPoint: Short Cut to run it, Open the run dialogue box and type in ‘powerpnt’ and press enter.
Note that these commands are common for all Microsoft offices and thus will be accepted even in office 97 and even office 2010.
All Programs:
1.      Access
2.      Excel
3.      InfoPath
4.      OneNote
5.      Outlook
6.      PowerPoint
7.      Publisher
8.      SharePoint Workspace
9.      Visio Viewer
10.   Word



Internet:
The Internet is a global system of interconnected computer networks that use the standard Internet Protocol Suite (TCP/IP) to serve billions of users worldwide. Computer network or network is nothing but the interconnection of two or more computers to share digital information through various channels or ways. (Paths) The Internet Protocol Suite is the set of communications protocols used for the Internet and other similar networks It is generally referred to as the TCP/IP Protocol. It is named by the two main protocols in it The Transmission Control Protocol (TCP) and The Internet Protocol. (IP) Protocol is a set of rules to perform any task. Protocol for a computer is the precise (exact) information to be used as an when communicating with another computer. Protocol defines how the computers communicate and how they exchange information. (Transmit – to send off and receive and process that information) Internet is provided to you by your ISP which is Internet Service Provider. The ISP’s have complete control on your internet connection and can control what you browse, what you download and even how much you use the connection! The basic software needed to use the internet is a browser. There are many browser like the Internet Explorer, Mozilla FireFox, Safari etc. The basic hardware needed is a Modem and a LAN (Local Area Network) cable or Wi-Fi and its dongle. Wi-Fi is a wireless network, through which internet can be accessed without any cables. The LAN cable is can be plugged into the Ethernet port on the Mother Board, while Wi-Fi works on signaling. The first internet connections were of 28.4 KBPS and now Google has launched a test of 1 GBPS internet connections. But generally people have a connections in MBPS, but in India we generally we have KBPS connections. Through internet one can browse through lots and lots of digital content, (including texts, audio, video, flash items, online T.V. and much more that you may have not ever even thought of!) Internet is becoming very popular among the new generation due to its services. Some of the most widely used internet service used worldwide is E-Mail, (electronic mail) Internet T.V., file sharing and downloading websites (Rapidshare, Megaupload etc.) The most growing community is the Peer-To-Peer system or p2p. It is the fastest way for one to share content and download/upload it. It may be their own free content or much illegal content. But mostly these servers have illegal content hosted onto them and the greatest benefit is that it is available to each and every user with the internet connection and desktop client. (Like BitTorrent, UTorrent etc, or some online clients like the BitLet.org. These software or online services help the user to download the content hosted on to the server. Usually one gets the direct file. Like .exe or mp4 etc. but in this case, we get a .torrent file or a magnet link which can be opened through the sources mentioned and can be downloaded onto the computer)

Note: Any file in computer end in a dot and some name, like .iso, .torrent, .ppt, .dmg etc. There are millions of such. These are called file extension. A file name always ends with any of the existing extensions. The extension of a file is the identification to it. (For example .ppt refers to PowerPoint Presentation, .doc refers to a Word Document, .exe refers to an executable file etc.) So an extension is notation of the program to be used while opening the file. It thus provides valuable information. Interesting Fact: Almost all the file extensions can be created by using Notepad in Microsoft Windows until one knows the code or the language to create that sort of file.

Torrenting is a good way for getting pirated materials and enjoy, however this is illegal, but out of a lakh only 100 people wouldn’t be torrenting. (Including me) And let me tell you something very bluntly, this is free; so all sorts of people upload their content. It depends on them what they do. Some might be hungry crackers, sighting for a prey. You may become their victim but that is not the end. If you get into the fuss you’re gone and anything can happen to you. And there is a great threat from Pornographic, explicit and erotic content on the web. Almost 80% of the torrents are such in type, while books are around 1%! One needs to know about this thing and need to understand. Even on their website to attract users there are many adult websites linked. So one needs to be aware and careful.  Besides this, there are many adds stating get an iPhone for a just a dollar and other fake things. This is for attraction and even it may contain some hacking or cracking tools. Stay away from such freaking advertisements. Everything has its own strengths and weaknesses.

E-mail: Service is the service to send and receive free messages, chat with people. (Via text messages, audio calling or even video calling all for free but only computer to computer) You can add up contacts in you address book. There are many E-mail services like Gmail, Yahoo!Mail, Hotmail, Rediffmail etc.