Journal of Kufa for Mathematics and Computer

In this paper ,we introduce the
notions of completely semi prime ideal
with respect to an element x (x-C.S.P.I)
of a near ring and the completely semi
prime ideal near ring with respect to an
element x (x-C.S.P.I ) . 1. The image and
inverse image of x-C.S.P.I under
epimomorphism and the 2. direct product
of x-C.S.P.I near ring are studied .

This paper presents a proposed framework
for the crime and criminal data analysis
and detection using Decision tree
Algorithms for data classification and
Simple K Means algorithm for data
clustering. The paper tends to help
specialists in discovering patterns and
trends, making forecasts, finding
relationships and possible explanations,
mapping criminal networks and
identifying possible suspects. The
classification is based mainly on grouping
the crimes according to the type, location,
time and other attributes; Clustering is
based on finding relationships between
different Crime and Criminal attributes
having some previously unknown
common characteristics. The results of
both classifications and Clustering are
used for prediction of trends and behavior
of the given objects (Crimes and
Criminals).
Data for both crimes and criminals were
collected from free police departments’
dataset available on the Internet to create
and test the proposed framework, and then
these data were preprocessed to get clean
and accurate data using different
preprocessing
techniques (cleaning, missing values and
removing inconsistency). The preprocessed
data were used to find out different crime and
criminal trends and behaviors, and crimes and
criminals were grouped into clusters
according to their important attributes.
WEKA mining software and Microsoft Excel
were used to analyze the given data.

Bassam, M.A. [1], proved some
existence and uniqueness theorems for the
following fractional linear differential
equation.
   
 
   
n
n i
i
i o
Ln y p x y x F x 

    

  
..1
With the initial conditions
 
  

k
k
y a 
1
Where a numbers, k=1,2,…,n, pi(x) , F(x) are
continuous functions defined on (a,b) such
that p0(x)≠0, i=0,1…,n and y[(n-i) α] denotes
the fractional derivative of order (n-i)α for
the function y.
In this work we prove some theorems
for equation (1), however for α=1. Equation
(1) is an ordinary differential equation of
order n, therefore all the theorems proved
here will be reduced to well known result in
the theory of ordinary differential
equations. Moreover,
We give some examples and an
application for equation (1).

Breast cancer is the most common
type of tumor in Iraq. This research is
mainly concerned with study analysis of
breast tumor data. A representative
random sample of patient suffering from
tumor was collected from Al-Sadder
hospital in Al-Najaf city. The data was
then analyze using survival analysis
technique.

The discrete cosine transform (DCT) is
a method for converting a signal into plain
frequency components. It is extensively
used in image compression. In this paper a
new technique is proposed, namely
ZRDCT (Zeros Removal with DCT) which
is based on a lossy compression, and used
to enhance image data compression.
Image quality is measured impartially,
using peak signal-to-noise ratio (PSNR) or
picture quality scale, and individually
using perceived image quality with
compression factor (CF) being the main
theme of this paper, taking into
consideration the preservation of well
PSNR outputs.
The performance of DCT compression
generally degrades low bit-rates mainly
because of the underlying block-based
DCT scheme. Experimental results
demonstrated the effectiveness of the
ZRDCT approach, which enhanced the
performance of the conventional DCT
image compression methods, by
investigating and interrogating the whole
image and hence enforcing mechanisms
for finding possible redundant information
and therefore the removal of unnecessary
data which lead to an improvement in CF
without upsetting PSNR.
The new technique also proved to have low
distortions with good quality PSNR,
commendable CF and good execution time,
when compared to other various DCT schemes
and with some wavelet based image
compression.

The set of all isometries on a metric
space X with the usual composition of
functions form a group and it is called the
group of isometries and is denoted by I(X). In
this paper we study the generalization of the
concepts of minimal sets, stability and
attraction, from dynamic system into the
topological transformation group (I(X),X).We
find that the collection of all minimal sets of
I(X)-space is the collection of all the closures
of orbits of X and we found some useful
results about stability and attraction and we
fixed the relationship among it's kinds

Using the concept of H-open set,
we introduce the concept of H-compact
space. Several properties of H-compact
spaces are proved , among these are:
1. H-closed subset of H-compact is
H-compact.
2. The continuoues image of Hcompact is H-compact.
3. H-compact subset of H-Hausdorff
is H-closed.

In this paper, we prove strong
convergence theorem of modified Mann
iteration sequence with errors for
uniformaly L- Lipschitzian mapping in
arbitrary Banach space. Our results
improve and gernalize the recent results
Osilike , Xu and Xie and many others.

The concept of intuitionistic topological
space was introduced by Çoker .The aim
of this paper is to discuss the relation
between bitopological spaces and doubletopological spaces and give a notion of
pairwise compact for double topological
spaces .