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Masters Degrees (Mathematical Sciences)

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Mathematics is the science of structures, including mathematics itself. Discovery of new patterns and relations, and the construction of models with predictive power are the core of mathematics. Read more

Mathematical Sciences

Mathematics is the science of structures, including mathematics itself. Discovery of new patterns and relations, and the construction of models with predictive power are the core of mathematics.

Frequently, we see an interaction between fundamental and applied research. This versatility is reflected in the Master's programme Mathematical Sciences, which a broad range of courses is offered. Both students who want to specialise and students who aim for a wider background in mathematics.

[Tracks]]

You can tailor your programme by selecting one of the following seven tracks:
-Algebraic Geometry and Number Theory
-Applied Analysis
-Complex Systems
-Differential Geometry and Topology
-Logic
-Probability, Statistics, and Stochastic Modelling
-Pure Analysis
-Scientific Computing
-You can also choose to do a Research project in History of Mathematics.

This Master's programme offers a broad scope in a stimulating international environment which is renowned for its excellent research. Students who prefer to research subjects in depth will feel particularly at home at Mathematical Sciences.

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Mathematical sciences are at the heart of science and technology. Mathematicians and statisticians are valuabe to industry and the solving of long-term challenges. Read more

Why this course?

Mathematical sciences are at the heart of science and technology. Mathematicians and statisticians are valuabe to industry and the solving of long-term challenges.

The MSc in Applied Mathematical Sciences - aimed at graduates with a good undergraduate degree in mathematics or statistics - offers a gateway to a wide variety of career opportunities.

The course will provide students with a sound theoretical understanding of important areas of applied mathematical sciences, including:
- applied analysis
- mathematical biology
- numerical analysis
- network theory
- probability
- mathematical & statistical modelling

See the website https://www.strath.ac.uk/courses/postgraduatetaught/appliedmathematicalsciences/

Facilities

The Department of Mathematics & Statistics has teaching rooms which provide students with access to modern teaching equipment and access to University computing laboratories that are state-of-the-art with all necessary software available.

Students on the course will also have a common room facility which allows them a modern and flexible area. This is used for individual and group study work and also as a relaxing social space.

Pre-Masters preparation course

The Pre-Masters Programme is a preparation course for international students (non EU/UK) who do not meet the entry requirements for a Masters degree at University of Strathclyde. The Pre-Masters programme provides progression to a number of degree options.

To find out more about the courses and opportunities on offer visit isc.strath.ac.uk or call today on +44 (0) 1273 339333 and discuss your education future. You can also complete the online application form. To ask a question please fill in the enquiry form and talk to one of our multi-lingual Student Enrolment Advisers today.

Learning & teaching

Classes are delivered by a number of teaching methods, including:
- lectures (using a variety of media including electronic presentations)
- tutorials
- computer laboratories
- coursework
- projects

Teaching is student-focused, with students encouraged to take responsibility for their own learning and development. Classes are supported by web-based materials.

Assessment

The form of assessment varies from class to class. For most classes, assessment involves coursework and exams.

Careers

We work closely with the Strathclyde Careers Service, which offers advice and guidance on career planning and looking for and applying for jobs. In addition they administer and publicise graduate and work experience opportunities.

Find information on Scholarships here http://www.strath.ac.uk/search/scholarships/index.jsp

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This course enables you, as a practising professional or recent graduate from any discipline, to develop your knowledge and skills in one or more areas of the mathematical sciences, including operations research, statistics, numerical analysis, computing or mathematics. Read more
This course enables you, as a practising professional or recent graduate from any discipline, to develop your knowledge and skills in one or more areas of the mathematical sciences, including operations research, statistics, numerical analysis, computing or mathematics.

In your first year, you will study core mathematics subjects to help improve your mathematics knowledge and skills. You will also learn to conduct and manage research before undertaking an investigation project of your own. Most projects are based on technical problems or developmental ideas that originate within industry.

In your second year, you will extend your knowledge and develop your ability to find efficient numerical and analytical solutions to problems.

Credit for previous study

Credits for recognised learning may be granted if you have successfully completed an honours or graduate diploma in this field of study.

Other notes

This course is two years full-time for applicants with a bachelor degree in science or one year full-time for applicants with honours or a postgraduate diploma. You may choose to undertake intensive periods of course study or project work over the summer or vacation periods. To enrol in this course you will need to apply for the Master of Science – School of Science and Computing (308719) with a Mathematical Sciences major. You will graduate with a Master of Science (Mathematical Sciences).

2016 Curtin International Scholarships: Merit Scholarship

Curtin University is an inspiring, vibrant, international organisation, committed to making tomorrow better. It is a beacon for innovation, driving advances in technology through high-impact research and offering more than 100 practical, industry-aligned courses connecting to workplaces of tomorrow.

Ranked in the top two per cent of universities worldwide in the Academic Ranking of World Universities 2015, the University is also ranked 25th in the world for universities under the age of 50 in the QS World University Rankings 2015 Curtin also received an overall five-star excellence rating in the QS stars rating.

Curtin University strives to give high achieving international students the opportunity to gain an internationally recognised education through offering the Merit Scholarship. The Merit Scholarship will give you up to 25 per cent of your first year tuition fees and if you enrol in an ELB program at Curtin English before studying at Curtin, you will also receive a 10 per cent discount on your Curtin English fees.

For full details and terms and conditions of this scholarship, please visit: curtin.edu/int-scholarships and click on Merit.

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You can study this Mathematical Sciences MSc programme full-time or part-time. It offers students the opportunity to specialise in a broad range of areas across pure and applied mathematics, statistics and probability, and theoretical physics. Read more
You can study this Mathematical Sciences MSc programme full-time or part-time. It offers students the opportunity to specialise in a broad range of areas across pure and applied mathematics, statistics and probability, and theoretical physics.

The topics we cover include:

- advanced probability theory
- algebra
- asymptotic methods
- geometry
- mathematical biology
- partial differential equations
- quantum field theory
- singularity theory
- stochastic analysis
- standard model/string theory.

By completing the first semester you qualify for the PG certificate. By completing the second, you qualify for the PG Diploma. Then, by completing your dissertation, you qualify for the MSc.

Key Facts

REF 2014
92% of our research impact judged at outstanding and very considerable, 28% improvement in overall research at 4* and 3*.

Facilities
A dedicated student resource suite is available in the Department, with computer and reading rooms and a social area.

Why Department of Mathematical Sciences?

Range and depth of study options

We offer a very wide range of modules, from advanced algebra and geometry, to partial differential equations, probability theory, stochastic analysis, and mathematical physics. With these you can tailor your programme to specialise in one of these areas, or gain a broad understanding of several. This allows you to build up the required background for the project and dissertation modules, which offer the opportunity to undertake an in-depth study of a topic of your choice, supervised by a leading expert in the field.

Exceptional employability

At Liverpool, we listen to employers’ needs. Alongside key problem solving skills, employers require strong communication skills. These are integral to this programme. Graduates go on to research degrees, or become business and finance professionals, or to work in management training, information technology, further education or training (including teacher training) and scientific research and development.

Teaching quality

We are proud of our record on teaching quality, with five members of the Department having received the prestigious Sir Alastair Pilkington Award for Teaching. We care about each student and you will find the staff friendly and approachable.

Accessibility

We take students from a wide variety of educational backgrounds and we work hard to give everyone the opportunity to shine.

Supportive atmosphere

We provide high quality supervision and teaching, computer labs, and and you will benefit from the friendly and supportive atmosphere in the Department, as evidenced by student feedback available on our university website. A common room and kitchen for the exclusive use of the Department’s students, and a lively maths society help to foster a friendly and supportive environment.

Career prospects

The excellent University Careers Service is open to all postgraduates. Graduates of the MSc and PhD programmes move on to many different careers. Recent graduates have moved into fast track teacher programmes, jobs in finance (actuarial, banking, insurance), software development, drugs testing and defence work, as well as University postdoctoral or lecturing posts. The MSc programme is of course a natural route into doctoral study in Mathematics and related fields, both at Liverpool and elsewhere. Some of our PhD students move on to postdoctoral positions and to academic teaching jobs and jobs in research institutes, both in the UK and elsewhere.

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Our MSc in Mathematical Sciences is a flexible and challenging programme, taught by leading experts in the field. It allows you to develop a wide range of mathematical techniques and gives you a solid foundation to progress to research and employment at the highest levels. Read more
Our MSc in Mathematical Sciences is a flexible and challenging programme, taught by leading experts in the field. It allows you to develop a wide range of mathematical techniques and gives you a solid foundation to progress to research and employment at the highest levels.

Under the guidance of an academic mentor, you will be offered a choice of units spanning the breadth of mathematics. The programme offers a huge variety of possible combinations of units and themes, allowing you to add units from other schools to create an MSc which matches your interests. Its taught element is followed in June by your chosen research project, which is supervised by an experienced research academic.

The programme gives you the opportunity to increase your understanding of mathematical theory and equips you with fundamental skills in the modelling and analysis of problems. Our graduates are highly sought-after by employers for their strong analytical, communication and organisational skills.

Programme structure

Structure
The MSc in Mathematical Sciences comprises a taught component of 120 credit points (October to May), followed by a 60-credit research project (June to September).

Units
There is an extensive range of possible combinations of units and themes. An academic mentor will advise you on these units and meet regularly with you individually or in small groups throughout the taught component. You are also invited to participate in the wider academic life of the school, including research seminars.

Research project
Research themes include:
-Algebra and Representation Theory
-Applied Probability in Biology and Communications
-Bayesian Modelling and Analysis
-Dynamical systems and Statistical Mechanics
-Ergodic Theory and Dynamical Systems
-Fluid Dynamics
-Geometric Analysis
-Logic and Set Theory
-Material Science
-Monte Carlo Methods
-Nonparametric Regression
-Number Theory
-Probability: Scaling limits and Statistical Physics
-Quantum Information
-Quantum Chaos
-Random Matrix Theory
-Time Series and Finance

Careers

This programme provides you with quantitative research, reasoning and problem solving skills that will be valuable in your future career. Mathematics graduates find employment in finance, accountancy, research, teaching and management.

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Computing & Mathematical Sciences has an outstanding research record, for example, our Fire Safety Engineering Group has won the Queen's Anniversary Prize and the top award at the British Computer Society IT Awards for its EXODUS software. Read more
Computing & Mathematical Sciences has an outstanding research record, for example, our Fire Safety Engineering Group has won the Queen's Anniversary Prize and the top award at the British Computer Society IT Awards for its EXODUS software.

Each student normally first enrols on the MPhil degree. After completing the first year of the MPhil, the student's progress is reviewed, and, if considered satisfactory, the student is permitted to transfer to the PhD for a further two to three years of research. A student who does not wish to continue at this point may write up and submit the work to be considered for an MPhil degree.

MPhil/PhD students are usually provided with two supervisors, who guide them through the research. The supervisors are usually research staff from within the Department, although a supervisor may be appointed from another Department or from outside the university. The Department has a number of research groups focusing on practical and important real-life problems.

The Department also offers a one-year MSc by Research, please go online for more information.

Visit the website http://www2.gre.ac.uk/study/courses/pg/res/cms

What you'll study

If your research area does not fall exactly into one of the following categories, contact the Department to discuss your requirements.

- Thermal stress analysis
- Coupled structures and flow
- Electronic packaging
- Computer science
- Artificial intelligence
- Data mining
- Case-based reasoning
- Autonomic computing
- Operations research
- Internet technologies
- Multimedia
- E-learning
- Fire safety engineering and evacuation,
- Human behaviour, pedestrian dynamics, combustion and ventilation
- Parallel computing
- Continuum physics
- Algorithms and codes
- Computational fluid dynamics modelling

Fees and finance

Your time at university should be enjoyable and rewarding, and it is important that it is not spoilt by unnecessary financial worries. We recommend that you spend time planning your finances, both before coming to university and while you are here. We can offer advice on living costs and budgeting, as well as on awards, allowances and loans.

Find out more about our fees and the support available to you at our:
- Postgraduate finance pages (http://www.gre.ac.uk/finance/pg)
- International students' finance pages (http://www.gre.ac.uk/finance/international)

Assessment

Students are assessed through their research and a dissertation.

Career options

Graduates from this programme can pursue a wide range of career opportunities in industry, government and academia.

Find out how to apply here - http://www2.gre.ac.uk/study/apply

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Applied Mathematical Sciences offers a clear and relevant gateway into a successful career in business, education or scientific research. Read more
Applied Mathematical Sciences offers a clear and relevant gateway into a successful career in business, education or scientific research. The programme arms students with the essential knowledge required by all professional mathematicians working across many disciplines. You will learn to communicate their ideas effectively to peers and others, as well as the importance of research, planning and self-motivation.

Students will take a total of 8 courses, 4 in each of the 1st and 2nd Semesters followed by a 3-month Project in the summer. A typical distribution for this programme is as follows:

Core courses

:

Modelling and Tools;
Optimization;
Dynamical Systems;
Applied Mathematics (recommended);
Applied Linear Algebra (recommended).

Optional Courses

:

Mathematical Ecology;
Functional Analysis;
Numerical Analysis of ODEs;
Pure Mathematics;
Statistical Methods;
Stochastic Simulation;
Software Engineering Foundations;
Mathematical Biology and Medicine;
Partial Differential Equations;
Numerical Analysis;
Geometry.

Typical project subjects

:

Pattern Formation of Whole Ecosystems;
Climate Change Impact;
Modelling Invasive Tumour Growth;
Simulation of Granular Flow and Growing Sandpiles;
Finite Element Discretisation of ODEs and PDEs;
Domain Decomposition;
Mathematical Modelling of Crime;
The Geometry of Point Particles;
Can we Trust Eigenvalues on a Computer?

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Climate change is recognised as having potentially huge impacts on the environment and on human society. Read more
Climate change is recognised as having potentially huge impacts on the environment and on human society. This programme aims to provide an understanding of climate change causes, impacts, mitigation and adaptation measures from a life science perspective in conjunction with developing a wide variety of mathematical modelling skills that can be used to investigate the impacts of climate change.

The programme closely follows the structure of our Applied Mathematical Sciences MSc. Two of the mandatory courses will specifically focus on understanding the issues related to climate change and are taught by the School of Life Sciences.

Students will take a total of 8 courses, 4 in each of the 1st and 2nd Semesters followed by a 3-month Project in the summer. A typical distribution for this programme is as follows:

Core courses

Modelling and Tools;
Mathematical Ecology;
Climate Change: Causes and Impacts;
Climate Change: Mitigation and Adaptation Measures;
Dynamical Systems (recommended);
Stochastic Simulation (recommended)

Optional Courses

Optimization;
Mathematical Biology and Medicine;
Numerical Analysis of ODEs;
Applied Mathematics;
Statistical Methods;
Applied Linear Algebra;
Partial Differential Equations;
Numerical Analysis;
Geometry;
Bayesian Inference.

Typical project subjects

Population Cycles of Forest Insects;
Climate Change Impact;
The replacement of Red Squirrels by Grey Squirrels in the UK;
Vegetation Patterns in Semi-arid Environments;
Daisyworld: A Simple Land Surface Climate Model.

The final part of the MSc is an extended project in mathematical modelling the impacts of climate change on environmental systems, giving the opportunity to investigate a topic in some depth guided by leading research academics.

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This is a nine month taught programme which provides an entry route for students interested in the taught MSc programmes but whose mathematical background is not yet strong or detailed enough to cope with the complex topics covered in the MSc programmes. Read more
This is a nine month taught programme which provides an entry route for students interested in the taught MSc programmes but whose mathematical background is not yet strong or detailed enough to cope with the complex topics covered in the MSc programmes.

Both the Diploma and the Certificate offer students the chance to attain an Honours level qualification in Mathematics or Statistics, supporting career enhancement or offering a bridge to the MSc in Actuarial Science, Quantitative Financial Risk Management, Financial Mathematics or one of the Applied Mathematical Sciences degrees.

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This programme is aimed at graduates whose level of mathematical training is high, but below that of the BSc Degree Honours in Mathematics or Mathematical Physics, and who have demonstrated mathematical flair. Read more
This programme is aimed at graduates whose level of mathematical training is high, but below that of the BSc Degree Honours in Mathematics or Mathematical Physics, and who have demonstrated mathematical flair. It enables them to reach in one year a level of mathematical knowledge equivalent to that of BSc Honours graduates and thus, in particular, qualifies them to enter the MSc degree in Mathematics, Mathematical Physics or Mathematical Sciences.

Students in the programme choose one of two streams:

The Applied and Computational Mathematics Stream
The Mathematics Stream

The programme extends over two semesters and involves 60 credits of taught modules.

This programme runs full time for one academic year - September to May (2 semesters)
This programme runs part time for two academic years - September to May (4 semesters)

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The MSc in Mathematical Sciences is a one-year (12 months) full-time programme which allows a student to combine graduate-level modules in one or more of the disciplines of the school (Actuarial Science and Statistics, Mathematics, Applied Mathematics/Mathematical Physics). Read more
The MSc in Mathematical Sciences is a one-year (12 months) full-time programme which allows a student to combine graduate-level modules in one or more of the disciplines of the school (Actuarial Science and Statistics, Mathematics, Applied Mathematics/Mathematical Physics). It consists of 60 credits of taught modules in Mathematics, Statistics, Mathematical Physics or Applied Mathematics, and 30 credits assigned to the writing of a dissertation as well as active participation in a research seminar.

September to August (full time) - 1 year or 3 semesters
September to August (part time) - 2 years or 6 semesters

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This course aims to bring you, in 12 months, to a position where you can embark with confidence on a wide range of careers, including taking a PhD in Mathematics or related disciplines. Read more
This course aims to bring you, in 12 months, to a position where you can embark with confidence on a wide range of careers, including taking a PhD in Mathematics or related disciplines. There is a wide range of taught modules on offer, and you will also produce a dissertation on a topic of current research interest taken from your choice of a wide range of subjects offered.

Course structure and overview

-Six taught modules in October-May.
-A dissertation in June-September.

Modules: Six of available options
In previous years, optional modules available included:

Modules in Pure Mathematics:
-Algebraic Topology IV
-Codes and Cryptography III
-Differential Geometry III
-Galois Theory III
-Geometry III and IV
-Number Theory III and IV
-Riemannian Geometry IV
-Topology III
-Elliptic Functions IV

Modules in Probability and Statistics:
-Mathematical Finance III and IV
-Decision Theory III
-Operations Research III
-Probability III and IV
-Statistical Methods III
-Topics in Statistics III and IV

Modules in Applications of Mathematics:
-Advanced Quantum Theory IV
-Dynamical Systems III
-General Relativity III and IV
-Mathematical Biology III
-Numerical Differential Equations III and IV
-Partial Differential Equations III and IV
-Quantum Information III
-Quantum Mechanics III
-Statistical Mechanics III and IV

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This programme provides technology-based graduates with the opportunity to develop an area of technological expertise through a major research project. Read more
This programme provides technology-based graduates with the opportunity to develop an area of technological expertise through a major research project. It also gives students understanding and skills in the methodology of research and the experience of a critical investigation of an approved topic at a high level.

Taught courses are chosen from the School's broad portfolio and should be appropriate to the student's project area. The student must undertake a research methodology course as the basis for the project. The project itself is one of the student's free choices, within the constraints imposed by his or her education, training and experience. It is designed to be very practical, to provide more time than is traditionally allowed for such a project and to emphasise the work-based aspects of the subject matter.

Project proposals must be prepared and agreed by the programme leader before applicants are accepted on to the programme.

There are also MPhil/PhD opportunities.

Visit the website http://www2.gre.ac.uk/study/courses/pg/res/cmsresmsc

What you'll study

Recent topics include:

- Enterprise, Distributed and Web Technologies
- Networking, Security, Forensics and Risk Management
- Information Systems, Data Warehousing and Data Mining
- Computing and Information Technology
- Applied Mathematical Modelling, Fire Safety Engineering and Scientific Computing
- Cinematography

Fees and finance

Your time at university should be enjoyable and rewarding, and it is important that it is not spoilt by unnecessary financial worries. We recommend that you spend time planning your finances, both before coming to university and while you are here. We can offer advice on living costs and budgeting, as well as on awards, allowances and loans.

Find out more about our fees and the support available to you at our:
- Postgraduate finance pages (http://www.gre.ac.uk/finance/pg)
- International students' finance pages (http://www.gre.ac.uk/finance/international)

Assessment

Students are assessed through examinations, coursework and a project.

Career options

This MSc provides the student with significant skills from undertaking a substantial independent piece of research. It enables successful graduates to extend their research skills at a higher level in industry or academia.

Find out how to apply here - http://www2.gre.ac.uk/study/apply

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he contribution of mathematical and computational modelling to the understanding of biological systems has rapidly grown in recent years. Read more
he contribution of mathematical and computational modelling to the understanding of biological systems has rapidly grown in recent years. This discipline encompasses a wide range of life science areas, including ecology (e.g. population dynamics), epidemiology (e.g. spread of diseases), medicine (e.g. modelling cancer growth and treatment) and developmental biology.

This programme aims to equip students with the necessary technical skills to develop, analyse and interpret models applied to biological systems. Course work is supported by an extended and supervised project in life science modelling.

Students will take a total of 8 courses, 4 in each of the 1st and 2nd Semesters followed by a 3-month Project in the summer. A typical distribution for this programme is as follows:

Core courses

Modelling and Tools;
Mathematical Ecology;
Dynamical Systems;
Mathematical Biology and Medicine.

Optional Courses

Optimization;
Numerical Analysis of ODEs;
Applied Mathematics;
Statistical Methods;
Stochastic Simulation;
Partial Differential Equations;
Numerical Analysis;
Geometry;
Climate Change: Causes and Impacts;
Biologically Inspired Computation;
Climate Change: Mitigation and Adaptation Measures.

Typical project subjects

Population Cycles of Forest Insects;
Modelling Invasive Tumour Growth;
The replacement of Red Squirrels by Grey Squirrels in the UK;
Wiring of Nervous System;
Vegetation Patterning in Semi-arid Environments;
Daisyworld: A Simple Land Surface Climate Model.

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You will gain deep knowledge of a chosen topic in mathematics or statistics and develop your research skills in project planning, reviewing literature, group discussions, research presentations and writing publications. Read more
You will gain deep knowledge of a chosen topic in mathematics or statistics and develop your research skills in project planning, reviewing literature, group discussions, research presentations and writing publications.

You can choose to work with experts from a range of areas including quantum cryptography, graph theory, statistical analysis, bioinformatics and mathematical modelling.

You will take three taught modules each providing you with the underpinning theory to support your research work.

What will I study?

You will undertake a year-long research project, one compulsory module on Research Methods and then choose any two from the options below:

Options in Statistics

:
-Computational Statistics and Data Analysis
-Applied Statistics
-Statistical Modelling

[[ Options in Applied Mathematics]]:
- Mathematical Recipes
- Topics in Mathematical Biology
- Linear Systems
- Topics in Applied Mathematics

Options in Pure Mathematics

- Topics in Pure Mathematics
- Coding Theory and Cryptography

COME VISIT US ON OUR NEXT OPEN DAY!

Register here: https://www.ntu.ac.uk/university-life-and-nottingham/open-days/find-your-open-day/science-and-technology-postgraduate-and-professional-open-event2.

The course is a part of the School of Science and Technology (http://www.ntu.ac.uk/sat) which has first-class facilities (http://www.ntu.ac.uk/sat/facilities).

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