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MATHEMATICS IN
  DAILY LIFE

  A PRESENTATION BY
        PARAS
          XF
ABSTRACT
INTRODUCTION-MATHS IN NATURE-MATHS
  HELP OUR LIVES-MATHS IN
  ENGINEERING-GEOMETRY IN CIVIL-
  MATHS IN MEDICINE-MATHS IN
  BIOLOGY-MATHS IN MUSIC-MATHS IN
  FORENSIC-CONCLUSION.
INTRODUCTION
 What use is maths in everyday life?
 "Maths is all around us, it's everywhere we go". It's a lyric
 that could so easily have been sung by Wet Wet Wet. It may
 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 pattern that
 occurs in the world around us, but having a good
 understanding of it will help enormously in everyday life.
 Being quick at mental arithmetic will save you pounds in the
 supermarket, and a knowledge of statistics will help you see
 through the baloney in television adverts or newspaper
 articles, and to understand the torrent of information you'll
 hear about your local football team.
MATHS IN NATURE
HEXAGON IN NATURE
A honeycomb is an array of hexagonal (six-
  sided) cells, made of wax produced by
  worker bees. Hexagons fit together to fill all
  the available space, giving a strong
  structure with no gaps. Squares would also
  fill the space, but would not give a rigid
  structure. Triangles would fill the space and
  be rigid, but it would be difficult to get
  honey out of their     corners.
FRACTIONS OF TOMATO
   You can cut all sorts of fruit and
    vegetables into fractions: cut a
    tomato in half, an apple into
    quarters or a banana into eighths,
    although you would have to be very
    accurate. An orange might have 20
    segments, and each would be a
    20th of the whole orange
ROTATIONAL SYMMETRY IN GLOBE
A globe is a good example of rotational
 symmetry in a three-dimensional
 object. The globe keeps its shape as
 it is turned on its stand around an
 imaginary line between the north
 and south poles. The globe shown
 here dates from the late 15th or
 early 16th century and is one of the
 earliest three-dimensional
 representations of the surface of the
 Earth. It can be found in the
 Historical Academy in Madrid.
UNDERSTANDING
 PERCENTAGE
   Using money is a good way of
    understanding percentages. As there
    are 100 pence in £1, one hundredth of
    £1 is therefore 1 pence, meaning that 1
    per cent of £1 is 1 pence. From this we
    can calculate that 50 per cent of £1 is 50
    pence. This photograph shows three
    British currency notes: a £5 note, a £10
    note and a £20 note. If 50 pence is 50
    per cent of £1, then £5 is 50 per cent of
    £10, and so £10 is 50 per cent of £20.
DECIMAL CALCULATOR
• A pocket calculator is one way in which
  decimals are used in everyday life. The
  value of each digit shown is determined
  by its place in the entire row of
  numbers on the screen. In this
  photograph, the 7 is worth 700 (seven
  hundreds), the 8 is worth 80 (eight tens)
  and the 6 is worth 6 (six ones).
SYMMETRY IN TOWER
MATHS HELPING OUR LIVES
 An article in the Sunday Times in June 2004
  revealed the fact that you can't even assume
  that buying larger bags of exactly the same
  pasta would work out cheaper. It said that in
  many of the supermarkets buying in bulk, for
  example picking up a six-pack of beer rather
  than six single cans, was in fact more expensive.
 The newspaper found that the difference can be
  as much as 30%. The supermarket chains may
  be exploiting the assumption people have that
  buying in bulk is cheaper, but if you work it out
  quickly in your head you'll never be caught out.
SPOTTING DODGY STATISTICS
How many adverts have you heard that
make some claim such as "8 out of 10
women prefer our shampoo to their old
one"? Did those enthusiasts think it was
greatly better, or not really much of a
difference? What about the other 20%?
They might have absolutely hated it
because it made all their hair fall out! And
what question were they answering: that
they really believe it made their hair any
cleaner than a different shampoo, or that
they preferred the smell, or shape of the
bottle?
MATHS IN
ENGINEERING
       •   If it is rainy and cold outside, you
           will be happy to stay at home a
           while longer and have a nice hot
           cup of tea. But someone has built
           the house you are in, made sure it
           keeps the cold out and the
           warmth in, and provided you with
           running water for the tea. This
           someone is most likely an
           engineer. Engineers are
           responsible for just about
           everything we take for granted in
           the world around us, from tall
           buildings, tunnels and football
           stadiums, to access to clean
           drinking water. They also design
           and build vehicles, aircraft, boats
           and ships. What's more, engineers
           help to develop things which are
           important for the future, such as
           generating energy from the sun,
           wind or waves. Maths is involved
           in everything an engineer does,
           whether it is working out how
           much concrete is needed to build
GEOMETRY IN CIVIL
             This a pictures with some basic
                geometric structures. This is a
                modern reconstruction of the
                English Wigwam. As you can
                there the door way is a
                rectangle, and the wooden
                panels on the side of the
                house are made up of planes
                and lines. Except for really
                planes can go on forever. The
                panels are also shaped in the
                shape of squares. The house
                itself is half a cylinder.
LINES&PLANES
               Here is another modern
                 reconstruction if of a
                 English Wigwam. This
                 house is much similar to
                 the one before. It used a
                 rectangle as a doorway,
                 which is marked with the
                 right angles. The house
                 was made with sticks
                 which was straight lines at
                 one point. With the sticks
                 in place they form squares
                 when they intercepts. This
                 English Wigwam is also
                 half a cylinder.
PARALLELOGRAMS

         This is a modern day
           skyscraper at MIT.
           The openings and
           windows are all
           made up of
           parallelograms.
           Much of them are
           rectangles and
           squares. This is a
           parallelogram kind of
           building.
CUBES AND CONES
           This is the Hancock Tower, in
             Chicago. With this image,
             we can show you more 3D
             shapes. As you can see the
             tower is formed by a large
             cube. The windows are
             parallelogram. The other
             structure is made up of a
             cone. There is a point at the
             top where all the sides
             meet, and There is a base
             for it also which makes it a
             cone.
SPHERE AND CUBE
            This is another building at
              MIT. this building is made
              up of cubes, squares and
              a sphere. The cube is the
              main building and the
              squares are the windows.
              The doorways are
              rectangle, like always. On
              this building There is a
              structure on the room that
              is made up of a sphere.
PYRAMIDS
           This is the Pyramids, in
               Indianapolis. The pyramids
               are made up of pyramids, of
               course, and squares. There are
               also many 3D geometric
               shapes in these pyramids. The
               building itself is made up of a
               pyramid, the windows a made
               up of tinted squares, and the
               borders of the outside walls
               and windows are made up of
               3D geometric shapes.
RECTANGLES AND
    CIRCLES
        This is a Chevrolet SSR Roadster
           Pickup. This car is built with
           geometry. The wheels and
           lights are circles, the doors
           are rectangular prisms, the
           main area for a person to
           drive and sit in it a half a
           sphere with the sides chopped
           off which makes it 1/4 of a
           sphere. If a person would look
           very closely the person would
           see a lot more shapes in the
           car. Too many to list.
GEOMETRY IN CAD
              Geometry is a part of
               mathematics concerned with
               questions of size, shape, and
               relative position of figures
               and with properties of space.
               Geometry is one of the oldest
               sciences
             Computer-aided design,
               computer-aided geometric
               design. Representing shapes
               in computers, and using
               these descriptions to create
               images, to instruct people or
               machines to build the shapes,
               etc. (e.g. the hood of a car,
               the overlay of parts in a
               building construction, even
               parts of computer animation).
Computer graphics is based
  on geometry - how images
  are transformed when
  viewed in various ways.
Robotics. Robotic vision,
  planning how to grasp a
  shape with a robot arm, or
  how to move a large shape
  without collission.
STRUCTURAL ENGINEERING
            Structural
              engineering. What
              shapes are rigid or
              flexible, how they
              respond to forces and
              stresses. Statics
              (resolution of forces)
              is essentially
              geometry. This goes
              over into all levels of
              design, form, and
              function of many
              things.
MATHS IN MEDICINE
            Medical imaging - how to reconstruct
               the shape of a tumor from CAT
               scans, and other medical
               measurements. Lots of new
               geometry and other math was
               (and still is being) developed for
               this.
            Protein modeling. Much of the
               function of a protein is determined
               by its shape and how the pieces
               move. Mad Cow Disease is
               caused by the introduction of a
               'shape' into the brain (a shape
               carried by a protein). Many drugs
               are designed to change the shape
               or motions of a protein -
               something that we are just now
               working to model, even
               approximately, in computers,
               using geometry and related areas
MATHS IN BIOLOGY
              Physics, chemistry, biology,
               Symmetry is a central concept
               of many studies in science - and
               also the central concept of
               modern studies of geometry.
               Students struggle in university
               science if they are not able to
               detect symmetries of an object
               (molecule in stereo chemistry,
               systems of laws in physics, ... ).
               the study of transformations and
               related symmetries has been,
               since 1870s the defining
               characteristic of geometric
               studies
MATHS IN MUSIC

    Music theorists often use mathematics to
     understand musical structure and
     communicate new ways of hearing music. This
     has led to musical applications of set theory,
     abstract algebra, and number theory. Music
     scholars have also used mathematics to
     understand musical scales, and some
     composers have incorporated the Golden ratio
     and Fibonacci numbers into their work.
INTONATION
   If we take the ratios constituting a scale in just intonation, there
    will be a largest prime number to be found among their prime
    factorizations. This is called the prime limit of the scale. A scale
    which uses only the primes 2, 3 and 5 is called a 5-limit scale; in
    such a scale, all tones are regular number harmonics of a single
    fundamental frequency. Below is a typical example of a 5-limit
    justly tuned scale, one of the scales Johannes Kepler presents in
    his Harmonice Mundi or Harmonics of the World of 1619, in
    connection with planetary motion. The same scale was given in
    transposed form by Alexander Malcolm in 1721 and theorist
    Jose Wuerschmidt in the last century and is used in an inverted
    form in the music of northern India. American composer Terry
    Riley also made use of the inverted form of it in his "Harp of
    New Albion". Despite this impressive pedigree, it is only one out
    of large number of somewhat similar scales.
MATHS IN FORENSIC
MATHS IS APLLIED TO CLARIFY THE
BLURRED IMAGE TO CLEAR IMAGE.
THIS IS DONE BY USING
DIFFERENTIAL AND INTEGRAL
CALCULUS.
TO FIND RACE
 In forensic department the race and sex of
  humans can be found by using subpubic
  angles between the bones of pelvis.

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Mathematics in daily life by paras

  • 1. MATHEMATICS IN DAILY LIFE A PRESENTATION BY PARAS XF
  • 2. ABSTRACT INTRODUCTION-MATHS IN NATURE-MATHS HELP OUR LIVES-MATHS IN ENGINEERING-GEOMETRY IN CIVIL- MATHS IN MEDICINE-MATHS IN BIOLOGY-MATHS IN MUSIC-MATHS IN FORENSIC-CONCLUSION.
  • 3. INTRODUCTION What use is maths in everyday life? "Maths is all around us, it's everywhere we go". It's a lyric that could so easily have been sung by Wet Wet Wet. It may 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 pattern that occurs in the world around us, but having a good understanding of it will help enormously in everyday life. Being quick at mental arithmetic will save you pounds in the supermarket, and a knowledge of statistics will help you see through the baloney in television adverts or newspaper articles, and to understand the torrent of information you'll hear about your local football team.
  • 5. HEXAGON IN NATURE A honeycomb is an array of hexagonal (six- sided) cells, made of wax produced by worker bees. Hexagons fit together to fill all the available space, giving a strong structure with no gaps. Squares would also fill the space, but would not give a rigid structure. Triangles would fill the space and be rigid, but it would be difficult to get honey out of their corners.
  • 7. You can cut all sorts of fruit and vegetables into fractions: cut a tomato in half, an apple into quarters or a banana into eighths, although you would have to be very accurate. An orange might have 20 segments, and each would be a 20th of the whole orange
  • 9. A globe is a good example of rotational symmetry in a three-dimensional object. The globe keeps its shape as it is turned on its stand around an imaginary line between the north and south poles. The globe shown here dates from the late 15th or early 16th century and is one of the earliest three-dimensional representations of the surface of the Earth. It can be found in the Historical Academy in Madrid.
  • 11. Using money is a good way of understanding percentages. As there are 100 pence in £1, one hundredth of £1 is therefore 1 pence, meaning that 1 per cent of £1 is 1 pence. From this we can calculate that 50 per cent of £1 is 50 pence. This photograph shows three British currency notes: a £5 note, a £10 note and a £20 note. If 50 pence is 50 per cent of £1, then £5 is 50 per cent of £10, and so £10 is 50 per cent of £20.
  • 13. • A pocket calculator is one way in which decimals are used in everyday life. The value of each digit shown is determined by its place in the entire row of numbers on the screen. In this photograph, the 7 is worth 700 (seven hundreds), the 8 is worth 80 (eight tens) and the 6 is worth 6 (six ones).
  • 16.  An article in the Sunday Times in June 2004 revealed the fact that you can't even assume that buying larger bags of exactly the same pasta would work out cheaper. It said that in many of the supermarkets buying in bulk, for example picking up a six-pack of beer rather than six single cans, was in fact more expensive.  The newspaper found that the difference can be as much as 30%. The supermarket chains may be exploiting the assumption people have that buying in bulk is cheaper, but if you work it out quickly in your head you'll never be caught out.
  • 18. How many adverts have you heard that make some claim such as "8 out of 10 women prefer our shampoo to their old one"? Did those enthusiasts think it was greatly better, or not really much of a difference? What about the other 20%? They might have absolutely hated it because it made all their hair fall out! And what question were they answering: that they really believe it made their hair any cleaner than a different shampoo, or that they preferred the smell, or shape of the bottle?
  • 19. MATHS IN ENGINEERING • If it is rainy and cold outside, you will be happy to stay at home a while longer and have a nice hot cup of tea. But someone has built the house you are in, made sure it keeps the cold out and the warmth in, and provided you with running water for the tea. This someone is most likely an engineer. Engineers are responsible for just about everything we take for granted in the world around us, from tall buildings, tunnels and football stadiums, to access to clean drinking water. They also design and build vehicles, aircraft, boats and ships. What's more, engineers help to develop things which are important for the future, such as generating energy from the sun, wind or waves. Maths is involved in everything an engineer does, whether it is working out how much concrete is needed to build
  • 20. GEOMETRY IN CIVIL This a pictures with some basic geometric structures. This is a modern reconstruction of the English Wigwam. As you can there the door way is a rectangle, and the wooden panels on the side of the house are made up of planes and lines. Except for really planes can go on forever. The panels are also shaped in the shape of squares. The house itself is half a cylinder.
  • 21. LINES&PLANES Here is another modern reconstruction if of a English Wigwam. This house is much similar to the one before. It used a rectangle as a doorway, which is marked with the right angles. The house was made with sticks which was straight lines at one point. With the sticks in place they form squares when they intercepts. This English Wigwam is also half a cylinder.
  • 22. PARALLELOGRAMS This is a modern day skyscraper at MIT. The openings and windows are all made up of parallelograms. Much of them are rectangles and squares. This is a parallelogram kind of building.
  • 23. CUBES AND CONES This is the Hancock Tower, in Chicago. With this image, we can show you more 3D shapes. As you can see the tower is formed by a large cube. The windows are parallelogram. The other structure is made up of a cone. There is a point at the top where all the sides meet, and There is a base for it also which makes it a cone.
  • 24. SPHERE AND CUBE This is another building at MIT. this building is made up of cubes, squares and a sphere. The cube is the main building and the squares are the windows. The doorways are rectangle, like always. On this building There is a structure on the room that is made up of a sphere.
  • 25. PYRAMIDS This is the Pyramids, in Indianapolis. The pyramids are made up of pyramids, of course, and squares. There are also many 3D geometric shapes in these pyramids. The building itself is made up of a pyramid, the windows a made up of tinted squares, and the borders of the outside walls and windows are made up of 3D geometric shapes.
  • 26. RECTANGLES AND CIRCLES This is a Chevrolet SSR Roadster Pickup. This car is built with geometry. The wheels and lights are circles, the doors are rectangular prisms, the main area for a person to drive and sit in it a half a sphere with the sides chopped off which makes it 1/4 of a sphere. If a person would look very closely the person would see a lot more shapes in the car. Too many to list.
  • 27. GEOMETRY IN CAD  Geometry is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences Computer-aided design, computer-aided geometric design. Representing shapes in computers, and using these descriptions to create images, to instruct people or machines to build the shapes, etc. (e.g. the hood of a car, the overlay of parts in a building construction, even parts of computer animation).
  • 28. Computer graphics is based on geometry - how images are transformed when viewed in various ways. Robotics. Robotic vision, planning how to grasp a shape with a robot arm, or how to move a large shape without collission.
  • 29. STRUCTURAL ENGINEERING Structural engineering. What shapes are rigid or flexible, how they respond to forces and stresses. Statics (resolution of forces) is essentially geometry. This goes over into all levels of design, form, and function of many things.
  • 30. MATHS IN MEDICINE Medical imaging - how to reconstruct the shape of a tumor from CAT scans, and other medical measurements. Lots of new geometry and other math was (and still is being) developed for this. Protein modeling. Much of the function of a protein is determined by its shape and how the pieces move. Mad Cow Disease is caused by the introduction of a 'shape' into the brain (a shape carried by a protein). Many drugs are designed to change the shape or motions of a protein - something that we are just now working to model, even approximately, in computers, using geometry and related areas
  • 31. MATHS IN BIOLOGY  Physics, chemistry, biology,  Symmetry is a central concept of many studies in science - and also the central concept of modern studies of geometry. Students struggle in university science if they are not able to detect symmetries of an object (molecule in stereo chemistry, systems of laws in physics, ... ). the study of transformations and related symmetries has been, since 1870s the defining characteristic of geometric studies
  • 32. MATHS IN MUSIC  Music theorists often use mathematics to understand musical structure and communicate new ways of hearing music. This has led to musical applications of set theory, abstract algebra, and number theory. Music scholars have also used mathematics to understand musical scales, and some composers have incorporated the Golden ratio and Fibonacci numbers into their work.
  • 33. INTONATION  If we take the ratios constituting a scale in just intonation, there will be a largest prime number to be found among their prime factorizations. This is called the prime limit of the scale. A scale which uses only the primes 2, 3 and 5 is called a 5-limit scale; in such a scale, all tones are regular number harmonics of a single fundamental frequency. Below is a typical example of a 5-limit justly tuned scale, one of the scales Johannes Kepler presents in his Harmonice Mundi or Harmonics of the World of 1619, in connection with planetary motion. The same scale was given in transposed form by Alexander Malcolm in 1721 and theorist Jose Wuerschmidt in the last century and is used in an inverted form in the music of northern India. American composer Terry Riley also made use of the inverted form of it in his "Harp of New Albion". Despite this impressive pedigree, it is only one out of large number of somewhat similar scales.
  • 34. MATHS IN FORENSIC MATHS IS APLLIED TO CLARIFY THE BLURRED IMAGE TO CLEAR IMAGE. THIS IS DONE BY USING DIFFERENTIAL AND INTEGRAL CALCULUS.
  • 35. TO FIND RACE  In forensic department the race and sex of humans can be found by using subpubic angles between the bones of pelvis.