DEGREE LEVEL PROJECT TITLES AND REFERENCE BOOKS FOR MATHEMATICS explanation in Tamil

So What..?
18 Jan 202105:20

Summary

TLDRThe video script appears to be a mishmash of various topics, ranging from temple architecture to differential equations and numerical analysis, with a touch of algebra and geometry. It mentions projects, possibly related to mathematical concepts, and encourages viewers to subscribe to a channel for more on these subjects. The script also seems to touch on dynamic systems, algorithms, and even includes a few unrelated phrases, suggesting a broad educational scope. However, the transcript is fragmented and lacks a clear, coherent narrative.

Takeaways

  • ЁЯУЪ The script discusses a variety of mathematical topics, including algebra, geometry, and numerical analysis.
  • ЁЯТ╗ It mentions programming concepts, suggesting the integration of mathematics with computer science.
  • ЁЯПл There is a focus on education, with references to students, learning, and the importance of academic success.
  • ЁЯФв The transcript includes terms like 'differential equations' and 'dynamic systems,' indicating advanced mathematical subjects.
  • ЁЯОУ It emphasizes the value of higher education, particularly in the fields of mathematics and related disciplines.
  • ЁЯУИ The script touches on project management, possibly in the context of academic or professional development.
  • ЁЯМР There are references to online platforms, suggesting the use of digital media for educational content delivery.
  • ЁЯУЭ The mention of 'subscriptions' and 'channels' implies an element of community building and content sharing.
  • ЁЯПЫя╕П Cultural elements are present, with references to temples and religious practices, possibly as part of the educational content.
  • ЁЯУИ The transcript seems to highlight the importance of continuous learning and self-improvement.
  • ЁЯдЭ There is an underlying theme of community and collaboration, possibly in an academic or professional setting.

Q & A

  • What is the topic of the project mentioned in the transcript?

    -The specific topic of the project is not clearly mentioned, but it seems to be related to mathematical concepts and possibly educational content.

  • What mathematical concepts are hinted at in the transcript?

    -The transcript mentions 'Algebra', 'Differential Equations', and 'Numerical Analysis', suggesting that the content may involve these mathematical fields.

  • What does the transcript suggest about the nature of the channel or content creator?

    -The transcript suggests that the content creator might be focused on educational topics, particularly mathematics, and encourages viewers to subscribe to their channel.

  • Is there a specific educational program or course mentioned in the transcript?

    -There is no specific educational program or course mentioned, but the transcript does refer to 'Final Year Project Details', indicating a potential focus on higher education projects.

  • What is the significance of 'PTE' mentioned in the transcript?

    -PTE likely refers to the Pearson Test of English, which is an academic English language test, but the context of its mention in the transcript is unclear.

  • What does the phrase 'Dynamical Systems' refer to in the transcript?

    -Dynamical Systems is a field of mathematics and physics that studies the behavior of systems that change over time, but the transcript does not provide specific details.

  • What is the relevance of 'Non-Linear Programming' in the transcript?

    -Non-Linear Programming is a mathematical technique for optimization problems where the relationships between variables are not linear, but its application in the script is not specified.

  • What educational support is mentioned in the transcript for students?

    -The transcript mentions support for 'regular students' and 'medical students', suggesting that the content may provide educational assistance for these groups.

  • What is the significance of 'Hindus' and 'temple' in the context of the transcript?

    -The transcript mentions 'Hindus' and 'temple' in an unclear context, possibly referring to a cultural or religious aspect of the educational content.

  • What is the purpose of the phrases 'like', 'share', and 'subscription' in the transcript?

    -These phrases are typical calls to action on social media or video platforms, encouraging viewer engagement with the content by liking, sharing, and subscribing.

Outlines

00:00

ЁЯУЪ Educational Content on Various Mathematical Topics

The paragraph discusses a variety of mathematical topics, including algebra, geometry, numerical analysis, and differential equations. It mentions a channel that seems to be focused on educational content, possibly offering tutorials and explanations on these subjects. The paragraph also touches on subjects like dynamic systems and cryptography, indicating a broad scope of mathematical education.

05:02

ЁЯОе Introduction to Video Content and Call to Action

This paragraph appears to be an introduction to a series of video content, possibly related to the educational channel mentioned earlier. It includes a call to action for likes and subscriptions, suggesting that the content creator is seeking viewer engagement. The paragraph ends with a thank you note, indicating appreciation for the audience's support.

Mindmap

Keywords

ЁЯТбAlgebra

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. It is a unifying thread of almost all of mathematics and includes everything from solving elementary equations to studying abstractions such as groups, rings, and fields. In the context of the video, Algebra seems to be a central theme, possibly indicating that the video discusses various algebraic concepts or their applications.

ЁЯТбDifferential Equations

Differential equations are equations that relate a function with its derivatives. They are essential in describing various phenomena in the natural sciences and engineering, such as the motion of planets, the spread of diseases, and the flow of fluids. The script mentions 'ordinary differential equations' and 'final year project details,' suggesting that the video might be discussing projects or topics related to solving or analyzing differential equations.

ЁЯТбNumerical Analysis

Numerical analysis is the study of algorithms that use numerical approximations to problems that cannot be solved exactly by analytical means. It is used to approximate functions, find roots, and solve differential equations. The mention of 'Numerical Analysis' in the script implies that the video could be exploring numerical methods for solving mathematical problems.

ЁЯТбDynamical Systems

A dynamical system is a system in which time-evolving physical or mathematical aspects are modeled as a set of variables, and their dynamics are governed by certain rules. The script refers to 'Dynamical Systems' and 'differential equations,' indicating that the video might be discussing systems that evolve over time according to certain mathematical equations.

ЁЯТбNon-Linear Programming

Non-linear programming is a subfield of mathematical programming, concerned with the optimization of problems that involve non-linear functions. It is widely used in various fields, including economics, engineering, and logistics. The term's appearance in the script suggests that the video may cover optimization problems that are not linear in nature.

ЁЯТбMandalas

Mandalas are spiritual and ritual symbols in Hinduism and Buddhism, representing the universe. They are often used as a form of meditation and are intricately designed. The script mentions 'Mandalas' in the context of 'discipline,' which might imply a discussion on the structured approach to creating mandalas or their significance in spiritual practices.

ЁЯТбCryptography

Cryptography is the practice and study of secure communication, which involves the use of mathematical algorithms to encrypt and decrypt messages. It is essential for secure communication over the internet and in various digital transactions. The script's mention of 'Cryptography' suggests that the video might touch upon the topic of secure communication methods or encryption techniques.

ЁЯТбClassical Mechanics

Classical mechanics is a branch of physics that deals with the motion of bodies under the influence of forces. It is based on the principles of Newtonian mechanics and is applicable to macroscopic objects moving at non-relativistic speeds. The term's presence in the script indicates that the video could be discussing principles or concepts from classical mechanics.

ЁЯТбContinuum Dynamics

Continuum dynamics is a field of physics that deals with the study of materials or substances that are continuous in nature, as opposed to discrete particles. It is used to describe the behavior of fluids, solids, and gases under various conditions. The script's reference to 'Continuum Dynamics' suggests that the video might explore the dynamics of continuous media.

ЁЯТбHindu Temple

A Hindu temple is a place of worship for Hindus, often characterized by elaborate architecture and sculptures depicting deities and mythological events. The script mentions 'Hindu Temple' in the context of 'new topics,' which could indicate that the video discusses the architecture, religious significance, or cultural aspects of Hindu temples.

ЁЯТбEducation

Education is the process of acquiring knowledge, skills, values, and habits. The script refers to 'Education' in the context of supporting 'regular students' and 'medical students,' implying that the video might discuss educational strategies, opportunities, or the importance of education in different fields.

Highlights

Mandir ka roop: Discussing the form or appearance of a temple.

Diya p├йt p├нne ke p├бn├н: Mention of water for drinking rituals.

Ki number project: A project with a significant number or impact.

Last year final year project details: Details of a previous year's final project.

Subscribe The Channel: Encouraging viewers to subscribe to the channel.

Algebra topics: Topics related to algebra.

Program in ordinary differential equations: A program or course on ordinary differential equations.

Algebra numerical analysis on: A focus on algebraic numerical analysis.

PTE browser: Mention of a PTE (Pearson Test of English) browser or tool.

Algebra geometry complex algebraic: Complex algebraic geometry topics.

Dynamical systems: Discussion on dynamical systems.

Good PPS Harmonica License Number: Mention of a harmonica license number.

Cryptography track: A track or course on cryptography.

Classical Mechanics Dynamics Continuum: Topics on classical mechanics and continuum dynamics.

Non-linear programming for work responsibility: Non-linear programming in the context of work.

Adnan sach panp par kharch: A phrase that might be related to expenses or cost.

Double Shahi Paneer Code: A code or recipe for a royal paneer dish.

Hindu model temple: A model or representation of a Hindu temple.

Kamla related saunf 125: A mention of a specific type of fennel or related topic.

Ganesh Lal video: A video about Lord Ganesha.

Malaria up to 40: A reference to a situation or study related to malaria.

Gold and John William and Principals of Mathematical Analysis: Mention of authors or principles of mathematical analysis.

Structure of the year: A structural overview or summary of the year's content.

Transcripts

play00:00

рдП рд╕реЛрдорд╡реНрд╣рд╛рдЯ рдпрд╛ рд╢рдирд┐рд╡рд╛рд░ рдХреЛ рдордВрджрд┐рд░ рдХрд╛ рд░реВрдк

play00:04

рджрд┐рдпрд╛ рдкреЗрдЯ рдкреАрдиреЗ рдХреЗ рдкрд╛рдиреА рддрдХ рдпрд╣ рдереЛрдбрд╝рд╛ рдмрдврд╝рд╛рдиреЗ

play00:08

рд╡рд░реНрдЧ рдХреЛ рдпрд╣ рдЕрдзрд┐рдХрддрд░ рдХреА рдирдВрдмрд░ рдкреНрд░реЛрдЬреЗрдХреНрдЯ

play00:19

рд▓рд╛рд╕реНрдЯ рдИрдпрд░ рдлрд╛рдЗрдирд▓ рдИрдпрд░ рдкреНрд░реЛрдЬреЗрдХреНрдЯ рдбреАрдЯреЗрд▓реНрд╕

play00:26

subscribe The Channel рдЕрдкрдиреЗ рдЯреЙрдкрд┐рдХ рдХреЗ рдЕрдВрджрд░

play00:47

рдХреА рддрд░рдл рджреМрдбрд╝рд╛

play01:00

рд╣реБрдЖ рдерд╛ рдкреНрд░реЛрдбрдХреНрд╢рдВрд╕ рдЙрддреНрд╕реБрдХ рд╣реИрдВ рдЗрди рдЯреЙрдк рдЗрд╕рдХрд╛

play01:02

рдирдордХ рдкреНрд░рд┐рдп рдкрд╛рддреНрд░реЛрдВ рдХреА рдкреЛрдпрдо рдУрдВ рдореИрдердореЗрдЯрд┐рдХреНрд╕

play01:07

рд▓рд╛рдЗрдХ рдЕрд▓рдЬреЗрдмреНрд░рд╛ рдИ рдЕрд▓рдЬреЗрдмреНрд░рд╛ рдЯреЙрдкрд┐рдХ рдХреЗ

play01:23

рдкреНрд░реЛрдЧреНрд░рд╛рдо рдЗрди рдСрд░реНрдбрд┐рдирд░реА рдбрд┐рдлрд░реЗрдВрд╢рд┐рдпрд▓

play01:26

рдЗрдХреНрд╡реЗрд╢рдВрд╕ рдПрдВрдб рдлрд╛рдЗрдирд▓реА рдбрд┐рдлрд░реЗрдВрд╢рд┐рдпрд▓ рдЗрдХреНрд╡реЗрд╢рдВрд╕

play01:34

рдЕрд▓рдЬреАрдмреНрд░рд╛ рдиреНрдпреВрдореЗрд░рд┐рдХрд▓ рдПрдирд╛рд▓рд┐рд╕рд┐рд╕ рдУрдВ

play01:37

рдП рдореИрдердореЗрдЯрд┐рдХрд▓ рдорд░ рдкрд░ рдЬрд░рд╛ рдкреНрд░реЗрдЬреЗрдВрдЯреЗрд╢рди

play01:40

рдкреАрдПрдЯреАрдИрдПрд▓ рдЬреА рдмреНрд░рд╛рдЙрдЬрд╝рд░ рдХрд╛ рдореЛрдЯрд┐рд╡ рдЕрд▓рдЬреЗрдмреНрд░рд╛ рдИ

play01:45

рдЕрд▓рдЬреЗрдмреНрд░рд╛ рдЬреНрдпреЛрдореЗрдЯреНрд░реА рдХрд╛рдВрдкрд▓реЗрдХреНрд╕ рдЕрд▓рдЬреЗрдмреНрд░рд╛рдЗрдХ

play01:47

рд╢рд╛рдо рдПрдВрдЯреНрд░реА рдЗрд▓реЗрдХреНрдЯреНрд░рд┐рдХ рдорд╛рдЙрд╕ рдмрдирд╛ рдЪреИрдирд▓ рд╕реА

play01:51

рдмреНрд░рд╛рдЙрдЬрд╝рд░ рдХреЙрдиреНрдЯреИрдХреНрдЯ рд▓рд┐рд╕реНрдЯ рд▓реБрдЯ рдЧреНрд░рд╛рдл рдерд┐рдЕрд░реА

play01:54

рдПрдВрдб рдПрд▓реНрдЧреЛрд░рд┐рдердореНрд╕ рдЯреЛ рдкреНрд▓рдЬ рд╢реЗрдпрд░ рдЖрдИрдЯреА рдмреИрдХ рдЯреЛ

play01:57

рдкреНрд▓рдЬ рдбреЛрдВрдЯ рдлрдВрдХреНрд╢рди рд░рд╛рдпрд╕реЗрд╕ рдбрд┐рд╕реНрдХреНрд░рд┐рдкреНрд╢рди

play02:02

рдбрд╛рдпрдиреЙрдорд┐рдХрд▓ рд╕рд┐рд╕реНрдЯрдореНрд╕ рдбрд╛рдпрдиреЙрдорд┐рдХрд▓ рд╕рд┐рд╕реНрдЯрдореНрд╕ рдП

play02:05

рдЧреБрдб рдкреАрдИрдПрд╕ рд╣рд╛рд░рдореЛрдирд┐рдХрд╛ рд▓рд╛рдЗрд╕реЗрдВрд╕ рдирдВрдмрд░ рддреЗрд░реЗ

play02:09

рдирдВрдмрд░ рддреЗрд░реА рдПрдВрдб рдХреНрд░рд┐рдкреНрдЯреЛрдЧреНрд░рд╛рдлреА рдЕрдЬреАрдм рдЯреНрд░реИрдХ

play02:12

рдирдВрдмрд░ рддреЗрд░реЗ рдирдВрдмрд░ рддреЗрд░реА рдПрдиреА рдХреНрд╡реЗрд╢реНрдЪрдВрд╕ рд╡ рдлреЗрдЬрд╝

play02:16

рдХреНрд▓рд╛рд╕рд┐рдХрд▓ рдореИрдХреЗрдирд┐рдХреНрд╕ рдбрд╛рдпрдирд╛рдорд┐рдХреНрд╕ рдХрдВрдЯрд┐рдиреНрдпреВрдЕрдо

play02:21

рдбрд╛рдпрдирд╛рдорд┐рдХреНрд╕ рдСрд░реНрдбрд┐рдирд░реА рдбрд┐рдлрд░реЗрдВрд╢рд┐рдпрд▓ рдЗрдХреНрд╡реЗрд╢рдВрд╕

play02:24

рдкреЙрдЗрдВрдЯреНрд╕ рдбрд┐рдлрд░реЗрдВрд╢рд┐рдпрд▓ рдЗрдХреНрд╡реЗрд╢рдВрд╕ рдбрд┐рдлрд░реЗрдВрд╢рд▓ рдЬреЙрдм

play02:27

рдордВрдбреЗрд▓рд╛ рдЧреНрд░реБрдк рдорджрд░реНрд╕ рдбрд┐рдлрд░реЗрдВрд╢рд┐рдпрд▓ рдЗрдХреНрд╡реЗрд╢рдВрд╕

play02:29

рдиреЙрди рд▓реАрдирд┐рдпрд░ рдкреНрд░реЛрдЧреНрд░рд╛рдорд┐рдВрдЧ рдлреЙрд░ рд╡рд░реНрдХ рдкреНрд░рднрд╛рд░

play02:33

рдХрд╛рд░реНрдпрд╛рд▓рдп рдЬрд░рд┐рдП рдЕрджрдирд╛рди рд╕рдЪ рдкрдирдк рдкрд░ рдЦрд░реНрдЪ

play02:36

рджреЛрдЧреБрдирд╛ рд╢рд╛рд╣реА рдкрдиреАрд░ рдкреЗрдирд▓ рдХреЛрдб

play02:37

рдЪрд╛рдгрдХ рдЪрд╛рдгрдХ рдХреЛрдб рд╡рдВрджрдирд╛ рд╕рдЪ рдкрд╛рдиреАрдкрдд рд╡ рдХрдЯреНрдЯрд░

play02:41

рд╣рд┐рдВрджреВ рдореЙрдбрд▓ рд▓рдЧрд╛ рдордВрджрд┐рд░ рд╕реЗ рдЕрдзреАрди рдирдП рдЯреЙрдкрд┐рдХ рдкрд░

play02:43

рдХрдорд▓рд╛ рд░рд┐рд▓реЗрдЯрд┐рдб рд╕реМрдВрдл 125 рдЗрд╕ рд▓рд╛рд░ рдХреЛ

play02:47

рдЬреЛ рдкреЙрдЗрдВрдЯ рд╣реИ рдпрд╣ рдЯреЙрдкрд┐рдХреНрд╕ рдХрдЯрд▓реЗрдЯ рд▓рдбрд╝рд╛рдИ тВ╣1

play02:50

рд╢реБрд░реВ рдХрд░рдХреЗ рдЕрдкрдиреА рдЧрд░реНрджрди рдореЗрд╣рдВрджреА рд╡реАрдбрд┐рдпреЛ рд▓рдХреНрдЦрд╛

play02:52

рдиреЗ рдЕрдкрдирд╛ рдкрд╣рд▓рд╛ рдкреЙрдЗрдВрдЯ рд╣реИ рдЧрдгреЗрд╢ рд▓рд╛рд▓ рдХреЗ рд╡реАрдбрд┐рдпреЛ

play02:56

рдкрддрд┐ рд╕реМрд░рд╡ рдореЗрдШрд╡рд░ рдореЗрдВ рдорд▓реЗрд░рд┐рдпрд╛ рд╕реЗ 40 рддрдХ

play03:11

рд╕рдмрд╕реНрдХреНрд░рд╛рдЗрдм рдирд╣реАрдВ рдХрд┐рдпрд╛ рддреЛ рдпрд╣ рдмреЗрд╕рд┐рд╕ рдЖрдл

play03:21

рдЧреЛрд▓реНрдб рдФрд░ рдЬреЙрди рд╡рд┐рд▓рд┐рдпрдо рдПрдВрдб рдкреНрд░рд┐рдВрд╕рд┐рдкрд▓реНрд╕ рдЖрдл

play03:32

рдореИрдердореЗрдЯрд┐рдХрд▓ рдПрдирд╛рд▓рд┐рд╕рд┐рд╕ рдПрдВрдб рд╢реЗрдпрд░ рдХрд░реЗрдВ рдФрд░ рдЗрд╕

play03:34

рдЪреИрдирд▓ рдореЗрдВ рдХрд╣рд╛рдВ рд░рд╣рддреЗ рд╣реЛ

play03:47

рдХрд┐ рдмрд┐рдЬрд▓реА рдиреЗ рд░рд╛рдЬреВ рдмрд┐рд▓реНрдХреБрд▓ рджрдлрди рд╕рддрдкрд╛рд▓ рд▓рд╛рдЦ

play03:51

рдореИрди рдХреИрдирд▓ рдПрдВрдб рдХреМрди рд╕реА рд░реЗ рдЖрдк рд░рд┐рдВрдЧ рд░реЛрдб рддрд░рдл

play03:56

рдХреНрд░реЙрд╕ рдХрд┐рдирд╛рд░рд╛ рд╡рд╣ рдпрд╣ рдФрд░ рдЕрдкрд░рд╛рдз рднреАрдорд╛рд╢рдВрдХрд░

play04:00

рдЕрдкрдиреА рдмреНрд░рд╛рд╣реНрдордг рдлрд┐рд░ рдХрд╣рд╛рдВ рдЕрдЬреАрдм рд░рд╛рд╡рдг рд╣рдорд╛рд░реЗ

play04:05

рдЪреИрдирд▓ рдЕрдзреВрд░рд╛ рд╣реИ рдмреБрд░реА рдПрдирд░реНрдЬреА рдмреЙрдХреНрд╕ рд░реВрдк рд╕реЗ

play04:07

рд╕реНрдЯреНрд░рдХреНрдЪрд░ рдСрдл рдж рдИрдпрд░ рдЕрдореЗрд░рд┐рдХрди рдореЗрдВ рдЕрдзрд┐рдХрддрд░

play04:10

рдЕрд╢реБрджреНрдз рднрд╛рдЧ рдорд╛рдЗрдХ рд▓реЗрдВ рдФрд░ 30 рдПрдВрдб рд╣реЗрдб рдЯреИрдВрдХ

play04:13

рдЯреЙрдкреНрд╕ рдЯреЙрдкрд┐рдХ рдЬрд┐рдиреНрд╣реЗрдВ рдЬреЗрд╡рд░рд╛рдд рд╡ рдбрд╛рдпрдореАрдЯрд░

play04:16

рдмреЗрдирд┐рдлрд┐рдЯ рдЕрд▓рдЬреЗрдмреНрд░рд╛ рдЗрди рд╣рд░рд╛рдпрд╛ рд╡ рд╢рд┐рд╡рд▓рд╛рд▓ рдирдВрдмрд░

play04:20

рдХрд┐ рдХреЗ рд╡рд┐рд░реБрджреНрдз рдкреЗрдкрд░ рдХрдо рдПрдиреБрдЕрд▓ рдЕрдХрд╛рдЙрдВрдЯреНрд╕

play04:23

рдЙрддрд░рдХрд░ рджрдордХрдирд╛ рд╢рд╛рд╣реА рдкрдиреАрд░ рдХреИрдж рдкреАрдбреАрдПрдл рд╡рд░рдирд╛ рдХрд╛

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рдордВрдбреЛрд▓рд╛ рдбрд┐рд╕реНрдХреНрд░рд┐рдкреНрд╢рди рд╣реЙрд▓ рдХреЗ рдЪрд╛рд░ рдкрд╛рд░реНрдЯ рд╣реИ

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рдХрд┐ рддрдерд╛ рдФрд░ 2014 рдХрдорд╛рд▓ рдЯреЙрдкрд┐рдХреНрд╕ рдХреЗ рдЕрдиреБрд╕рд╛рд░

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рд░реЗрдлреНрд░реЗрдВрд╕ рдмреБрдХ рдЧреМрддреНрд░ рдХрдиреНрд╡реЗрдирд┐рдПрдВрдЯ рд╕рд░реНрдЪ рдЕрдВрджрд░

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рд░реЗрдВрд╕ рдмреНрд░реЛрдХ рдЕрдк рдЧреЗрдо рд╣рдВрдЯрд┐рдВрдЧ рдореБрд▓реНрдХ рд╢рддреНрд░реБ

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рдХреНрд▓рд╛рд░реНрдХ рдХреЛ рд╣рд┐рдВрджреВ рдордВрджрд┐рд░ рдпрд╣ рдордВрджрд┐рд░ рд╣рдордиреЗ

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рд░реЗрдЧреБрд▓рд░ рд╕реНрдЯреВрдбреЗрдВрдЯ рд╕рдорд░реНрдерди рд╢реИрд▓рд░ рдбрд┐рд╕реНрдЯреЗрдВрд╕

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рдПрдЬреБрдХреЗрд╢рди рдореЗрдбрд┐рдХрд▓ рд╕реНрдЯреВрдбреЗрдВрдЯреНрд╕ рд╕рдлрд▓ рдмрдирд╛рд╡реЗ

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рд╢реНрд░рд╡рдг рдПрдорд┐рдиреЗрдо рдЗрд╕рдХрд╛ рдирд╛рдо рд╣реИ рдЗрдВрдбрд┐рдпрд╛ рд▓рд╛рд╕реНрдЯ

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рдореЗрдВ рдкреБрд▓рд╛рд╡ рддрдХ рдкрдХрд╛рдирд╛ рд╣реИ рдЬреНрдЮрд╛рдирдкреАрда рдлрдВрджреЛрдВ

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рдЕрдкрдирд╛ рдХрд╛ рдорд╛рдВрд╕ рд▓реИрдб рдЗрди рдкрд░ рдЕрдЬрдп рдХреЛ

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рдСрди рдХрд░реЛ

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рд╣реБрдЖ рд╣реИ

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рдЕрдЬрдп рдХреЛ

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рдХрд┐ рдЖрдЦрд┐рд░ рдЗрди рд╡реАрдбрд┐рдпреЛ рдорд▓рд┐рдХ рдкрд░рд┐рдЪрдп рджреЗрдирд╛ рд▓рд╛рдЗрдХ

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рдмрдирд╛рдирд╛ рдЪрд╛рд░ рдкрдврд╝рдирд╛ рд╕рдмреНрд╕рдХреНрд░рд┐рдкреНрд╢рди рд╣рдорд╛рд░рд╛ рдХрд╛рдо

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рдореЗрдВ рдмреИрд▓ рдЖрдЗрдХреЙрди рддрд╛рдХрд┐ рдмрдирд╛рдпрд╛ рдереИрдВрдХ рдпреВ рд╡реЗрд░реА рдордЪ

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