Discrete mathematics is used in many areas of the real world. It is used by Google Maps to determine fastest driving routes and times using simpler algorithms for small maps and more complex techniques for large maps. Computer graphics, web searching, digital image processing, and speech recognition all use linear algebra to transform and manipulate objects, return multilingual search results, merge images and apply filters, and recognize speech. Scheduling problems involving assigning shifts, routes, rooms, or meetings use graph coloring or combinatorial optimization from discrete mathematics. Encoding data for barcodes, RFID tags, and other formats uses discrete mathematical techniques to store information efficiently and reduce errors. Cell phone networks assign frequencies so phones do not interfere using concepts from graph theory and discrete optimization.

1. Discrete Mathematics in the Real
World
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2. GROUP MEMBERS :
MUNTASIR MUHIT
ID : 191-35-399
JAKIAH FAIROOZ
ID : 191-35-396
ASHIQUR RAHMAN
ID : 191-35-410
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3. GOOGLE MAPS
Google Maps uses discrete mathematics to determine fastest driving routes and
times. There is a simpler version that works with small maps and technicalities
involved in adapting to large maps
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4. COMPUTER GRAPHICS
use linear algebra in order to transform (move, scale, change perspective)
objects. That's true for both applications like game development, and for
operating systems.
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5. WEB SEARCHING
Doing web searches in multiple languages at once, and returning a summary,
uses linear algebra.
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6. DIGITAL IMAGE PROCESSING
Digital image processing uses discrete mathematics to merge images or apply
filters.
Hidden Markov models, which are part of linear algebra, are used for large
vocabulary continuous speech recognition.
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7. FILE MANAGEMENT
Computers run software and store files. The software and files are both stored
as huge strings of 1s and 0s . Binary math is discrete mathematics.
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8. SCHEDULING PROBLEMS
like deciding which nurses should work which shifts, or which airline pilots should
be flying which routes, or scheduling rooms for an event, or deciding timeslots
for committee meetings, or which chemicals can be stored in which parts of a
warehouse---are solved either using graph coloring or using combinatorial
optimization, both parts of discrete mathematics. One example is scheduling
games for a professional sports league.
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9. APPOINMENT SCHEDULING
In the U.S., the legislative branch of the government has a House of Representatives
with 435 members. The process of deciding how many of these members should be
allocated to each state is called apportionment, and there is a lot of discrete
mathematics involved---both in creating and implementing various apportionment
methods.
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10. ENCODING DATA
Methods of encoding data and reducing the error in data transmission---such as
are used in bar codes, UPCs, data matrices, and QR codes---are discrete
mathematics.
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11. CELL PHONE COMMUNICATION
Making efficient use of the broadcast spectrum for mobile phones uses linear
algebra and information theory. Assigning frequencies so that there is no
interference with nearby phones can use graph theory or can use discrete
optimization.
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12. NETWORKING
Networks are, at base, discrete structures. The routers that run the internet are
connected by long cables. People are connected to each other by social media
("following" on Twitter, "friending" on Facebook etc.). The US highway system
connects cities with roads.
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13. CRYPTOGRAPHY
Encryption and decryption are part of cryptography, which is part of discrete
mathematics. For example, secure internet shopping uses public-key
cryptography
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