Maths in Our Daily Life-Stanwick

8/3/2019 Maths in Our Daily Life-Stanwick

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MATHEMATICS IN

DAILY LIFESTANWICK GOIS

AUXILIUM HIGH SCHOOL

STD X


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ABSTRACT

INTRODUCTION-MATHS INNATURE-MATHS HELP OUR

LIVES-MATHS INENGINEERING-GEOMETRY

IN CIVIL-MATHS IN


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INTRODUCTIONWhat use is maths in everyday life?"Maths is all around us, it's everywhere we go". It's a lyricthat could so easily have been sung by Wet Wet Wet. Itmay not have made it onto the Four Weddings soundtrack,but it certainly would have been profoundly true.

Not only does maths underlie every process and patternthat occurs in the world around us, but having a goodunderstanding of it will help enormously in everyday life.Being quick at mental arithmetic will save you pounds inthe supermarket, and a knowledge of statistics will help yousee through the baloney in television adverts or newspaperarticles, and to understand the torrent of information you'll

hear about your local football team.


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MATHS IN NATURE


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HEXAGON IN NATURE

A honeycomb is an array of hexagonal (six-sided) cells, made of wax produced byworker bees. Hexagons fit together to fill all

the available space, giving a strongstructure with no gaps. Squares would alsofill the space, but would not give a rigid

structure. Triangles would fill the space andbe rigid, but it would be difficult to gethoney out of their corners.


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FRACTIONS OF TOMATO


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You can cut all sorts of fruit andvegetables into fractions: cut atomato in half, an apple intoquarters or a banana into eighths,although you would have to be veryaccurate. An orange might have 20

segments, and each would be a20th of the whole orange


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ROTATIONAL SYMMETRY IN GLOBE


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A globe is a good example of rotationalsymmetry in a three-dimensionalobject. The globe keeps its shape as

it is turned on its stand around animaginary line between the northand south poles. The globe shownhere dates from the late 15th or

early 16th century and is one of theearliest three-dimensionalrepresentations of the surface of the

Earth. It can be found in theHistorical Academ in Madrid.


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DECIMAL CALCULATOR


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A pocket calculator is one way in whichdecimals are used in everyday life. Thevalue of each digit shown is determined

by its place in the entire row ofnumbers on the screen. In thisphotograph, the 7 is worth 700 (seven

hundreds), the 8 is worth 80 (eight tens)and the 6 is worth 6 (six ones).


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MATHS HELPING OUR LIVES


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An article in the Sunday Times in June 2004revealed the fact that you can't even assumethat buying larger bags of exactly the samepasta would work out cheaper. It said that in

many of the supermarkets buying in bulk, forexample picking up a six-pack of beer ratherthan six single cans, was in fact more expensive.

The newspaper found that the difference can beas much as 30%. The supermarket chains maybe exploiting the assumption people have thatbuying in bulk is cheaper, but if you work it outquickly in your head you'll never be caught out.


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SPOTTING DODGYSTATISTICS


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How many adverts have you heard that makesome claim such as "8 out of 10 women preferour shampoo to their old one"? Did thoseenthusiasts think it was greatly better, or not

really much of a difference? What about theother 20%? They might have absolutely hated itbecause it made all their hair fall out! And whatquestion were they answering: that they reallybelieve it made their hair any cleaner than a

different shampoo, or that they preferred thesmell, or shape of the bottle?


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MATHS IN

ENGINEERING If it is rainy and cold outside, youwill be happy to stay at home awhile longer and have a nice hotcup of tea. But someone has builtthe house you are in, made sure itkeeps the cold out and the

warmth in, and provided you withrunning water for the tea. Thissomeone is most likely anengineer. Engineers areresponsible for just abouteverything we take for granted inthe world around us, from tallbuildings, tunnels and footballstadiums, to access to cleandrinking water. They also designand build vehicles, aircraft, boatsand ships. What's more, engineershelp to develop things which areimportant for the future, such asgenerating energy from the sun,wind or waves. Maths is involvedin everything an engineer does,

whether it is working out howmuch concrete is needed to build


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GEOMETRY IN CIVIL

This a pictures with some basicgeometric structures. This is amodern reconstruction of theEnglish Wigwam. As you can

there the door way is arectangle, and the woodenpanels on the side of thehouse are made up of planesand lines. Except for reallyplanes can go on forever. Thepanels are also shaped in the

shape of squares. The houseitself is half a cylinder.


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LINES&PLANES

Here is another modernreconstruction if of aEnglish Wigwam. Thishouse is much similar tothe one before. It used a

rectangle as a doorway,which is marked with theright angles. The housewas made with stickswhich was straight lines atone point. With the sticks

in place they form squareswhen they intercepts. ThisEnglish Wigwam is alsohalf a cylinder.


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PARALLELOGRAMS

This is a modern day

skyscraper at MIT. The

openings and windows

are all made up ofparallelograms. Much

of them are rectangles

and squares. This is a

parallelogram kind ofbuilding.


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CUBES AND CONES

This is the Hancock Tower, inChicago. With this image,we can show you more 3Dshapes. As you can see the

tower is formed by a largecube. The windows areparallelogram. The otherstructure is made up of acone. There is a point at thetop where all the sides

meet, and There is a basefor it also which makes it acone.


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SPHERE AND CUBE

This is another building atMIT. this building is madeup of cubes, squares and

a sphere. The cube is themain building and thesquares are the windows.The doorways arerectangle, like always. Onthis building There is a

structure on the room thatis made up of a sphere.


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PYRAMIDSThis is the Pyramids, in

Indianapolis. The pyramidsare made up of pyramids, ofcourse, and squares. There are

also many 3D geometricshapes in these pyramids. Thebuilding itself is made up of apyramid, the windows a madeup of tinted squares, and the

borders of the outside wallsand windows are made up of3D geometric shapes.


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RECTANGLES AND

CIRCLESThis is a Chevrolet SSR RoadsterPickup. This car is built withgeometry. The wheels andlights are circles, the doorsare rectangular prisms, themain area for a person todrive and sit in it a half asphere with the sides choppedoff which makes it 1/4 of asphere. If a person would lookvery closely the person wouldsee a lot more shapes in thecar. Too many to list.


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GEOMETRY IN CAD

Geometry is a part ofmathematics concerned withquestions of size, shape, andrelative position of figuresand with properties of space.

Geometry is one of the oldestsciences

Computer-aided design,computer-aided geometricdesign. Representing shapesin computers, and usingthese descriptions to createimages, to instruct people ormachines to build the shapes,etc. (e.g. the hood of a car,the overlay of parts in abuilding construction, even

parts of computer animation).


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Computer graphics is basedon geometry - how imagesare transformed whenviewed in various ways.

Robotics. Robotic vision,planning how to grasp ashape with a robot arm, orhow to move a large shapewithout collission.


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STRUCTURAL ENGINEERING

Structuralengineering. Whatshapes are rigid orflexible, how they

respond to forces andstresses. Statics(resolution of forces)is essentiallygeometry. This goesover into all levels of

design, form, andfunction of manythings.


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MATHS IN MEDICINE

Medical imaging - how to reconstructthe shape of a tumor from CATscans, and other medicalmeasurements. Lots of new

geometry and other math was(and still is being) developed forthis.

Protein modeling. Much of thefunction of a protein is determinedby its shape and how the pieces

move. Mad Cow Disease iscaused by the introduction of a'shape' into the brain (a shapecarried by a protein). Many drugsare designed to change the shapeor motions of a protein -something that we are just nowworking to model, even

approximately, in computers,using geometry and related areas


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MATHS IN BIOLOGY

Physics, chemistry, biology,

Symmetry is a central conceptof many studies in science - andalso the central concept ofmodern studies of geometry.Students struggle in university

science if they are not able todetect symmetries of an object(molecule in stereo chemistry,systems of laws in physics, ... ).the study of transformations andrelated symmetries has been,

since 1870s the definingcharacteristic of geometricstudies


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MATHS IN MUSIC

Music theorists often use mathematics tounderstand musical structure andcommunicate new ways of hearing music. This

has led to musical applications of set theory,abstract algebra, and number theory. Musicscholars have also used mathematics tounderstand musical scales, and some

composers have incorporated the Golden ratioand Fibonacci numbers into their work.
http://en.wikipedia.org/wiki/Musichttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Set_theoryhttp://en.wikipedia.org/wiki/Abstract_algebrahttp://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/wiki/Golden_ratiohttp://en.wikipedia.org/wiki/Fibonacci_numbershttp://en.wikipedia.org/wiki/Fibonacci_numbershttp://en.wikipedia.org/wiki/Golden_ratiohttp://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/wiki/Abstract_algebrahttp://en.wikipedia.org/wiki/Set_theoryhttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Music


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INTONATION

If we take the ratios constituting a scale in just intonation, therewill be a largest prime number to be found among their primefactorizations. This is called the prime limit of the scale. A scalewhich uses only the primes 2, 3 and 5 is called a 5-limit scale; in

such a scale, all tones are regular numberharmonics of a singlefundamental frequency. Below is a typical example of a 5-limitjustly tuned scale, one of the scales Johannes Kepler presents inhis Harmonice Mundi or Harmonics of the World of 1619, inconnection with planetary motion. The same scale was given intransposed form byAlexander Malcolm in 1721 and theoristJose Wuerschmidt in the last century and is used in an inverted

form in the music of northern India. American composer TerryRiley also made use of the inverted form of it in his "Harp ofNew Albion". Despite this impressive pedigree, it is only one outof large number of somewhat similar scales.
http://en.wikipedia.org/wiki/Prime_numberhttp://en.wikipedia.org/wiki/Prime_numberhttp://en.wikipedia.org/wiki/Regular_numberhttp://en.wikipedia.org/wiki/Harmonichttp://en.wikipedia.org/wiki/Fundamental_frequencyhttp://en.wikipedia.org/wiki/Regular_numberhttp://en.wikipedia.org/wiki/Harmonichttp://en.wikipedia.org/wiki/Fundamental_frequencyhttp://en.wikipedia.org/wiki/Johannes_Keplerhttp://en.wikipedia.org/wiki/Harmonice_Mundihttp://en.wikipedia.org/wiki/Johannes_Keplerhttp://en.wikipedia.org/wiki/Harmonice_Mundihttp://en.wikipedia.org/w/index.php?title=Alexander_Malcolm&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Jose_Wuerschmidt&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Alexander_Malcolm&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Jose_Wuerschmidt&action=edit&redlink=1http://en.wikipedia.org/wiki/Terry_Rileyhttp://en.wikipedia.org/wiki/Terry_Rileyhttp://en.wikipedia.org/wiki/Terry_Rileyhttp://en.wikipedia.org/wiki/Terry_Rileyhttp://en.wikipedia.org/wiki/Terry_Rileyhttp://en.wikipedia.org/wiki/Terry_Rileyhttp://en.wikipedia.org/w/index.php?title=Jose_Wuerschmidt&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Alexander_Malcolm&action=edit&redlink=1http://en.wikipedia.org/wiki/Harmonice_Mundihttp://en.wikipedia.org/wiki/Johannes_Keplerhttp://en.wikipedia.org/wiki/Fundamental_frequencyhttp://en.wikipedia.org/wiki/Harmonichttp://en.wikipedia.org/wiki/Regular_numberhttp://en.wikipedia.org/wiki/Prime_number


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MATHS IN FORENSIC

MATHS IS APLLIED TO CLARIFY THEBLURRED IMAGE TO CLEAR IMAGE.

THIS IS DONE BY USINGDIFFERENTIAL AND INTEGRALCALCULUS.


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TO FIND RACE

In forensic department the race and sex ofhumans can be found by using subpubicangles between the bones of pelvis.


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Maths in Our Daily Life-Stanwick

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