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1. In a metric space, can a sphere with a large radius lie inside a sphere 
 
1
,
S b r
(i.e., 
1
r
r

) with a small radius 
 
,
S a r
? 
Let 
 
,
x y

be the metric in set 
X
. If 
 
n
x
X

, and the sequence of numbers 


,
n
x x

tends to 0 at 
n
 
, then the sequence 
 
n
x
is called convergent, and in this case is 
denoted by 
lim
n
n
x
x


. 
Since it is possible to identify multiple metrics in a set, the given sequence may be 
approximating to one metric and not approximating to another metric. For example, relatively 
to discrete metrics, only sequences that are stationary will be approximating.
Indeed, for the sequence 
 
n
x
to be close to 
X
, for any number 
0


such a number 
0
n
is found, the inequality 


,
n
x x



must be satisfied for all 
n
satisfying the inequality 
0
n
n

. If 
1
2


, then for all 
n
x
satisfying the inequality 
0
n
n

from the property of the 
discrete metric, the equations 
1
2
....
n
n
n
x
x
x





must be satisfied, i.e., the sequence 
 
n
x
must be stationary. 
We know that, the set of rational numbers 
Q
with respect to a simple metric 
 
,
x y
x
y

 
is the metric space in which the sequence 
 
n
x
defined by the equation 
1
3
n
n
x

approaches 0. The 
 
n
y
sequence defined by the 
3
n
n
y

equation does not converge. 
Below we define a metric in set 
Q
such that the 
 
n
y
sequence becomes approximate without 
the 
 
n
x
sequence convergent. 
2. Let 
Q
be a set of rational numbers and 

be a prime number. Let 
Q
be a rational 
number 
0
1
Q
 
satisfy the inequality. Any rational number 

can only be expressed in the 
form 
n
a
b
 

in the same form, where 


,
1
a


, 
 
,
1
b


, and 
 
,
1
a b

. In that case, the 
distance between the rational numbers 

and 

can be determined in the form


,
,
0,
n
Q
 
  
 


 


. 
Here we considered 
n
a
b
   
  
equations appropriate. 
The 


,
  
functions included can show metric satisfaction in set 
Q
. 
References. 
1.
Negaev V.I. "Number systems". M. Enlightenment. 1987 
2.
V.I. Chilin, K.K. Muminov “Metric spaces”. Tashkent 2010. 

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5th Global Congress on Contemporary Sciences & Advancements 
Hosted from Singapore 
10th May 2021 
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29
INFLUENCE OF UZBEK DIALECT ON DEVELOPING 
PRONUNCIATION OF FUTURE ENGLISH LANGUAGE 
TEACHERS AND ITS SOLUTIONS 
Abidova Azizahon 
Teacher, Department of Interfaculty Foreign Languages 
(Social Sciences and Humanities), Andijan State University, Uzbekistan 
Annotation: In this article issues deal with pronunciation, problem of interference and 
influence of dialects on developing pronunciation of future English language teachers are on 
the discuss. Recommendation and solutions are researched and worked out as correct 
treatment for future English language teachers.
Annotatsiya: Ushbu maqolada bo’lajak ingliz tili o’qituvchilarining talaffuzi bilan bog’liq 
muammolar,shevalarning talaffuz shakllanishiga ta’siri, hamda interferensiya muammolari 
muhokama qilinadi.Bo’lajak Ingliz tili o’qituvchilari talaffuzi uchun muolaja sifatidagi 
tavsiyalar ishlab chiqiladi.
Аннотация: В этой статье обсуждаются проблемы произношения будущих учителей 
английского языка, влияние диалектов на формирование произношения и проблемы 
помех. Рекомендации будут разработаны в качестве лечения для произношения будущих 
учителей английского языка.
Key words: Approccimation , interference, consonant, vowel, active, passive
Improving pronunciation of future English language teachers, which is under influence of 
dialects , is one of painful points of teaching foreign language system. As for the main aim of 
studying this research is finding out solutions for not only future teachers but also their 
future pupils, too. Theoretical valuability of research is working on the topic leaned other 
scholars research, literature and solving the problem ,finding out relevant factors. Practical 
importance of the research is using results of observation at the field of teaching foreign 
languages for mispronounced learners, using analyzed methods at teaching foreign languages. 
In the research, after Appreciation, Interference conditions are clarified with examples, 
Observation, Comparative, Focused Interview methods are appealed to research to weak 
points under impact. As soon as research is provided with founded factors of dialects to 
pronunciation, system of exercises and essential brochures at phonetics of English are created 
and used at teaching process.
Since our government has paid attention more to learning foreign languages, especially 
English, teachers are required to obtain all knowledge and competence on their field. This 
field is surrounded by not only the knowledge about grammar and vocabulary, but also extra 
methodological competence and experience to involve the learners and eliminate weakness of 
them. In this case, some questions are appeared: Do all foreign language teachers obtain main 
skills of their field? Nowadays if it is wanted to know about the main weak point of both 
teachers and learners, it is answered that pronunciation is the basic painful point of them. 
Since speaking skill is a chain to communicate, it demands to work out and practice on it 
more than other skills. Some years ago, the best candidate at English was the candidate who 
knew grammar very well at the field of teaching foreign language. However, since 

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5th Global Congress on Contemporary Sciences & Advancements 
Hosted from Singapore 
10th May 2021