Tuesday, 20 May 2014

IDEAL ICT CONTENT





NELSON ANJERE:

BUILDUP CONTENT FOR PROGRAMMERS AND SOFTWARE ENGINEERS.

I C T TUTORIALS


TROUBLESHOOTING YOUR MACHINE





Find out why....
Its good to have knowledge about how to trouble shoot your machine best on the work you do to avoid inconvenience or reliance on expert.To know this is very easy but under one condition....you must have passion to words it or else you might miss the point.Lets first look at the basic computer hardware so as to familiarize ourselves.
A computer system unit is the enclosure that contains the main components of a computer. It is also referred to as computer case or tower.
       A typical desktop computer consists of a computer system unit, a keyboard, a mouse, and a monitor. The computer system unit is the enclosure for all the other main interior components of a computer. It is also called the computer case, computer chassis, or computer tower. Cases are typically made of steel or aluminum, but plastic can also be used. While most computer cases are rather dull, black, metal boxes, some manufacturers try to give the unit some flair with color and special design elements.

FUNCTIONS 
        The primary function of the computer system unit is to hold all the other components together and protect the sensitive electronic parts from the outside elements. A typical computer case is also large enough to allow for upgrades, such as adding a second hard drive or a higher-quality video card. It is relatively easy to open up a computer system unit to replace parts and install upgrades. In contrast, it is quite difficult to open up a laptop computer, which is not designed with replacements and upgrades in mind.
In most computer system units, the front side contains the elements a user needs frequently, such as the power button, an optical disk drive, an audio outlet for a pair of headphones, and a number of USB connections. The back side contains all other connections - for power, monitor, keyboard, mouse, Internet connection, and any other peripheral devices. There are typically more connections than the minimum necessary to allow for expansion. 
COMPONENTS FOUND ON THE MOTHERBOARD

In this particular example, the motherboard is placed vertically, which is quite common. One side of the motherboard is accessible from the back of the computer case - this includes the various connectors for input and output devices as well as expansion slots for additional peripherals. The motherboard also contains the central processing unit (CPU), although it can be difficult to see. A large fan is often placed on top of the CPU to avoid overheating. The motherboard also contains the main memory of the computer.
      The motherboard Is the basis of your computer. It's the first component installed in the system unit, and it holds all of the circuitry that ties the functions of the computer components together.

Central Processing Unit

 

The motherboard and circuitry need to have power. There is a power box included with your system unit, and you'll see a cord coming out of the back of your computer for that.  
The central processing unit, or the brains of the computer, sits on the motherboard and does actually have its own cooling fan. The processors now are so fast they need to be cooled down. All the instructions you give the computer - like a click of a mouse - go through the CPU, which processes in billions of cycles per second.   Commonly installed processors have quad-cores, or four separate processors in one component. There are six-core and eight-core available, and the more advanced the technology the higher the       cost. That's one of the    choices you might need to make. 

Memory, Cache, RAM, ROM

 

Next to the CPU sits the cache, or the temporary memory where things you are working on sit for quick interpretation by the CPU. The RAM chip is also near this location. Random-access memory is volatile, or temporary, memory. Whenever you turn on a program, its instructions are stored in RAM while the machine is on. Once you shut the machine down, both the cache and the RAM are completely cleared out. RAM storage is common at eight, ten or twelve gigabytes.
ROM, or read-only memory, is located here as well. This is a permanent, or non-volatile, memory. As soon as you turn on your computer, the start-up instructions that are stored in ROM begin to execute. Even when you turn it off, the instructions stored in ROM remain. So if you have a machine that runs Windows, as soon as you hit the power-up button, you'll get a short screen that might give you a message from the manufacturer. Then in the background you'll just see black and the Windows logo come through, and it will say 'Starting Windows.' What's going on there is that as soon as you hit the power button, your ROM is kicking in and starting up all those instructions for systems checks.
The part attached to the motherboard you're most likely to recognize is the hard drive




The hard drive doesn't sit directly on the motherboard, but it is connected to the circuitry by electrical wire. The hard drive stores software you've put in there like Firefox, Word Pad or a music player. It also stores the data files those programs have created and used. Hard drive storage commonly begins at one terabyte now and goes up to two and a half terabytes. 
  
Video and Sound Cards

Lets learn about the video card, or the graphics card. This card is used to process images so you can see them on your computer. As a standard computer user, the video card included with the system you are looking at will suffice. If you are a gamer, or really into working with photos or digital art, you may be looking for higher-end cards. These cards are more expensive, but typically have their own CPU for better and faster processing of images. Many video cards now allow for more than one monitor to be hooked up to the system.

Thursday, 1 May 2014

COMPUTER MATHS


QUALITATIVE MATHEMATICS



MEASURES OF CENTRAL TENDENCY

Arithmetic Mean

This is the average of any given observation e.g 8,4,9 will be
8+4+9/3=7
For a grouped data mean is calculated as
Mean = Efx/Ef
E = sum of
f = frequency
x = midpoint

Other types of mean include;
Geometric mean;
This is the nth root of the products of numbers i.e
5,2,1,3
(5*2*1*3)*1/4=2.34

Harmonic mean;
This is the reciprocal of arithmetic mean of reciprocal of numbers of items.i.e
1/x+1/x+1/x)/3

Median
This the middle value of any given observation.When the data is arranged in ascending or descending order it is calculated as follows;
9,6,5,7,1
1,5,6,7,9
6 is the median because is the middle value.

For a grouped data mean is calculated using the following formula;
L+(C1/2N-CF)*F Where;
L=lower class limit.
N=sum of frequency column.
CF=cumulative frequency before median class.
F=frequency of median class.
C=median class size.

Mode.
This is the most frequent number in any given observation i.e
6,4,8,4. mode is = 4.
For a grouped data mode is calculated as follows;
L+(F1-F0)/(2F1-F0-F2) Where;
L = lower class limit of modal class.
F1 = highest frequency.
F0 = frequency before f1.
F2 = frequency after f1.
C = modal class size.

N/B;
Modal class is the class with the highest frequency.
Histogram.
This is a diagrammatic representation of information in order to determine the mode.(frequency against upper class limit)

Measures of Dispersion.


This analyses how data is spread from measures of location. i.e Arithmetic mean.
There are varies measures namely;
Range.
Variance and standard deviation.
Co-efficient of variance
Quartiles.

Range
This is the difference between the highest value and the lowest value.
Variance.
This is the mean squre deviation.It is calculated as follows;
Variance = E(X-MEAN)/N;N =number of items.

Standard deviation;
This is the squreroot of variance.
Co-efficient of variance;
This is the ratio between standard variation and the mean.It is a measure of risk to any business,
Quortiles.
This is a distribution which is divided into for equal parts.
lower quartile
L+(1/4N-CF)F)*F

Upper quartile

L+(3/4N-CF)/F)*C.

Quartile deviation
This is the difference between upper quartile and lower quartile.
Semi inter quartile range
This the quartile deviation divided by two
Ogive;
This is a cumulative frequency curve which is drawn to estimateQ1,Q2 and Q3 as follows.


Measures of skewness

This is evaluation and analysis of degree of symmetry.
There are three types of analysis namely;
Normal distribution
positive skewness
Negative skewness

Normal distribution(Gausian Distribution)


This arises when the mean and the mode are equal.
Properties of normal distribution
Its bell shaped
The three measures of central tendancy are equal.
Has a standard deviation of one.
Its explained a symbol of Z
positive skewness
It arises when mode is greater than mean.
negative skewness It occurs when mean is greater than mode.
In order to determine skewness the following formula's are used

Formula 1;
s.k=3(mean*median)/standard deviation.
Formula 2.
s.k=(Mean-mode)/standard deviation

Interpretation
If we use the above formula and you get a 0 then it means their is a normal distribution
If the answer is positive it means their is a positive skewness.
If the answer is negative it means their is a negative skewness.
CORRELATION
Its the existence of relationship between two variables or the degree of relationship between two variables.
TYPES OF CORRELATIONS
Positive correlation
An increase in one variable leads to an increase in the other variables i.e
Increase in price leads to an increase in quantity supplied
Increase in advertisement leads to an increase in sales
Negative Correlation
an increase in one variable leads to a decrease in the other variable i.e
An increase in price leads to a decrease in quantity demanded
Spurious Correlation
This is the relationship between many variables.It is also called Non-sense correlation .
The degree of relationship is determined by two co-efficients as follows.

Spear-sons Moment co-efficient of correlation.
R=N{xy-{x{y/([n{x*x-{(x)*(x)]*[n{y*y-{(y*y))*0.5
Where;
n=Number of items
x=In depended variables(x axis)
y=Depended variables(y axis)


  • spears man rank co-efficient of correlation.



  • This is used to establish relationship between two variables,especially when ranking of items when necessary.
    The following formula is applied


    r=1-(6{d*d/n(n8n-1))

    D=Difference between ranks
    n=Number of items

    REGRESSION

    This is the nature of relationship between variables.The nature of relationship is determined by regression line equation.(line of best fit)
    This is the general form y=a+bx
    y=Dependant variables
    x=Independent variables
    a=Constant(fixed cost)
    b=gradient which represents variable cost per unit
    Types of Regression
    Simple linear Regression
    It has one in depended variables(x) of general formula.
    y=a+bx
    Multiple Linear
    It has many independent variables of general formula
    Y=a+bx+bx+bx
    The value of b and a in simple Linea regression is determine as follows;

    b=n{xy-{x{y/n{x*x-{(x*x)
    a={y-b{x/n.

    Co-efficient of Determination(r*r)
    In depended variables can be used to explain independent variables.it is used to show by how much dependent variables rely on independent variables.it is calculated by squaring co-efficient of correlation as follows;
    r*r=(n{xy-{x{y/(n[{x*x-{[x*x]]*[n{[y*y]-{[y*y]])squire
    Time Series
    This is a mathematical technique used to predict the trend.This is the observation which has been their for a very long period period of time.
    Components of Time series.Thi is the characteristics of the time series namely;
    Secular Trend 'T'
    Seasonal Variation 'S'
    Random Variation 'R'
    Cyclic Variation 'c'

    Secular Trend;This is the observation seen over long period of time.i.e increase in prices of commodities
    seasonal variation;This are the observation seen over long period of time.
    Random variation;This are things which are beyond human control and they occur as a result of state of nature.
    Cyclic variation;this is variation normally seen in business trade cycle.
    During boom phase their is high sales,high profits and high employment levels.
    During races their is losses,no sales and high unemployment level.

    Methods of fitting a Trend line

  • Semi-average
  • Least square equation method
  • Moving average method
    N/BThe line of best fit (Regression line equation) is used to predict line values
    i.e Y=a+bx
    b=n{x*y-{x{y/n{(x*x)-{(x*x)
    a={y-b{x/n
    Deseosonalization of time series

  • This is the removal of seasonal variation from the other components of time series.
    Their are two major methods used for this technique;

  • Additive model
  • Multiplicative model
    Additive model
    Under this we sum up the four components of time series e.g
    Secular + Random + Cyclic + Seasonal components.
    Under additive model,the trend values are subtracted from the actual values in oder to remove seasonal variation
    N/B Additive model is applied when the four components of the time series are independently from one another.
    Multiplicative model.
    Under this model the four components of time series are multiplied i.e
    Seasonal*Random *Secular.
    In order to determine seasonal variation using multiplicative model the actual values are divided by trend line values.,br> 
  • N/B 
  •  The model is applied when the four components of time series are depended of one another.

    This are numbers that illustrate changes in prises

  • Simple price index is calculated as follows;
    Simple price index=(p1/p0)*100%
    Where;
    p1=Price in the current year
    p0=Price in the base year
    weighted
    The weight of a given commodity is combined with prices.
    Their are three types of weighted index namely;

  • Lasypyres index number
  • paasches index number
  • Fishers ideal index number.
    Lasypyres index
    this uses the base year as the weight.
    There are two types of Lasypyres index namely;
  • Lasypyres price index
    ={(p1q1/p0q0)*100%
  • lasypyres quality index;
    ={q1p0/q0p0)*100%
    Where;
    p1=Price in the current year.
    p0=Price in the base year.
    q1=Quantity in the current year.
    q0=Quantity in the base year
    Paasches index
    This uses the current year as the weight.
    it is of two types namely;
  • Paasches price index
    ={(p1q1/p0q1)*100%
  • Paasches quantity index
    ={(q1p1/q0p1)*100%
    Fishers ideal index
    This is quadratic mean between Lasypyres index and Paasches index as follows;
  • Fishers ideal price index;
    (Paasches pirce index*Lasypyres price index)*0.5
  • Fishers ideal quantity index;
    (Paasches Quantity index*Lasypyres quantity index)*0.5
    Network Analysis