Mohamud Mohammed - Academia.edu (original) (raw)

Papers by Mohamud Mohammed

Research paper thumbnail of A WZ Proof of a "Curious" Identity

Zenodo (CERN European Organization for Nuclear Research), Jun 2, 2003

We give a short WZ-proof of a binomial coefficient identity due to Zhi-Wei Sun.

Research paper thumbnail of A study of the role of leisure activities in the work withmultilingualism, identity and mother tongue

We want to investigate what language norms prevail in leisure centers and how these affect curren... more We want to investigate what language norms prevail in leisure centers and how these affect current multilingualism and mother tongue. We will touch on the translanguaging method and consider whether it can be implemented in the leisure center business. The language norm differs between different leisure activities, where some teachers encourage students to speak their own languages with other students with the same language, while other activities are against this. In order to have a positive development, it is important to have a secure identity. What is meant by identity? Identity is a concept that has different interpretations. In general, it can be said that identity isabout how a person sees themselves and memories from one's life experience, thoughts and feelings (Gudrun Svensson, National Agency for Education, 2018 article 1). There are two different definitions of multilingualism - simultaneous and successive, where simultaneous multilingualism means that the individual...

Research paper thumbnail of REFUGEE HEALTH — RESEARCH Barriers to access to health care for newly resettled

sub-Saharan refugees in Australia

Research paper thumbnail of The q-Markov-WZ Method

Annals of Combinatorics, 2005

Andrei Markov's 1890 beautiful ad-hoc method of transforming a series of hypergeometric type into... more Andrei Markov's 1890 beautiful ad-hoc method of transforming a series of hypergeometric type into a rapidly-converging series was upgraded recently to a full-fledged method by Mohammed and Zeilberger, but only for the ordinary case. In this article, the q-case is developed and it is shown how Markov's ad-hoc method, when coupled with q-WZ theory and q-Gosper's algorithm, leads to a new class of identities and very fast convergence-acceleration series that can be applied to any infinite series of q-hypergeometric type.

Research paper thumbnail of www.mja.com.au Refugee health — Research

issued a press release calling for more support from the Australian Government to “help cope with... more issued a press release calling for more support from the Australian Government to “help cope with serious diseases being detected among African refugees”.

Research paper thumbnail of Infinite families of accelerating series for some classical constants using the MWZ method, in preparation

In this article we show the Markov-WZ Method in action as it finds rapidly converging series repr... more In this article we show the Markov-WZ Method in action as it finds rapidly converging series representations for a given hypergeometric series. We demonstrate the method by finding new representations for log(2),ζ(2) and ζ(3).

Research paper thumbnail of Barriers to access to health care for newly resettled sub‐Saharan refugees in Australia

Medical Journal of Australia, 2006

Research paper thumbnail of The Markov-WZ Method

The Electronic Journal of Combinatorics

Andrei Markov's 1890 method for convergence-acceleration of series bears an amazing resemblan... more Andrei Markov's 1890 method for convergence-acceleration of series bears an amazing resemblance to WZ theory, as was recently pointed out by M. Kondratieva and S. Sadov. But Markov did not have Gosper and Zeilberger's algorithms, and even if he did, he wouldn't have had a computer to run them on. Nevertheless, his beautiful ad-hoc method, when coupled with WZ theory and Gosper's algorithm, leads to a new class of identities and very fast convergence-acceleration formulas that can be applied to any infinite series of hypergeometric type.

Research paper thumbnail of Counting Hexagonal Lattice Animals

Eprint Arxiv Math 0202295, Feb 27, 2002

We describe a bijection between hexagonal lattice animals and a special type of square lattice an... more We describe a bijection between hexagonal lattice animals and a special type of square lattice animals. Using this bijection we adopt Maple packages that automatically generates generating functions (and series expansions) for fixed square lattice lattice animals to that of fixed hexagonal animals on the two-dimensional hexagonal lattice confined to a strip 0 ≤ y ≤ k, for arbitrary k.

Research paper thumbnail of Zeroing in on Metamorpic Computer Viruses

Research paper thumbnail of Community perceptions about infectious disease risk posed by new arrivals: A qualitative study

The Medical journal of Australia

To report on perceptions about the risk of infectious diseases from new arrivals to Australia ari... more To report on perceptions about the risk of infectious diseases from new arrivals to Australia arising from a wider study of mothers' attitudes to childhood vaccination. Six focus groups on perceptions about the benefits and risks of vaccination with 37 mothers of children aged 5 weeks to 18 years, mostly conducted in middle-class areas of Sydney between 6 October and 15 December 1999. Mothers' views about infectious disease risk posed by immigration as a major reason to favour immunising children. The idea of immigration being the primary source of infectious diseases was striking, and arose among a number of participants in every group conversation. Mothers expressed their dread of new diseases "from overseas", and a sense that there are "more germs nowadays", mostly from increased immigration to Australia and international travel. Some perceived people coming from other countries as having more disease because of an innate susceptibility or through cult...

Research paper thumbnail of Camp to clinic: A refugee journey

The Medical journal of Australia

Research paper thumbnail of Infinite families of accelerated series for some classical constants by the Markov-WZ Method

Discrete Mathematics & Theoretical Computer Science - DMTCS, 2005

A function H(x, z), in the integer variables x and z, is called hypergeometric if H(x + 1, z)/H(x... more A function H(x, z), in the integer variables x and z, is called hypergeometric if H(x + 1, z)/H(x, z) and H(x, z + 1)/H(x, z) are rational functions of x and z. In this article we consider only those hypergeomet-ric functions which are a ratio of products of factorials (we call such hypergeometric functions pure-hypergeometric). A P-recursive function is a function that satisfies a linear recurrence relation with polynomial coefficients. A pair (H, G) is called a Markov-WZ pair (MWZ-pair for short) if there exists a polynomial P(x, z) in z of the form

Research paper thumbnail of Sharp upper bounds for the orders of the recurrences output by the Zeilberger and -Zeilberger algorithms

Journal of Symbolic Computation, 2005

We do what the title promises, and as a bonus, we get much simplified versions of these algorithm... more We do what the title promises, and as a bonus, we get much simplified versions of these algorithms, that do not make any explicit mention of Gosper's algorithm.

Research paper thumbnail of Early years postgraduate surgical training programmes in the UK are failing to meet national quality standards: An analysis from the ASiT/BOTA Lost Tribe prospective cohort study of 2,569 surgical trainees

International journal of surgery (London, England), Jan 13, 2017

This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgradu... more This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgraduate surgical training or service (SHO-DIPST) in surgical specialties across the United Kingdom (UK), against nationally agreed Joint Committee on Surgical Training Quality Indicators (JCST QIs). Specific recommendations are made, with a view to improving quality of training, workforce retention and recruitment to Higher Surgical Training. Prospective, observational, multicentre study conducted by the Association of Surgeons in Training, using the UK National Research Collaborative model. Any centres in the UK providing acute surgical services were eligible. SHO-DIPST with a permanent contract, on out-of-hours 'on-call rota' were included across four, one-week data capture periods (September to October 2016, February to March 2017). Adherence to five quality indicators was reported using descriptive statistics. P-values were calculated using Student's t-test for continuous dat...

Research paper thumbnail of Early years postgraduate surgical training programmes in the UK are failing to meet national quality standards: An analysis from the ASiT/BOTA Lost Tribe prospective cohort study of 2,569 surgical trainees

International journal of surgery (London, England), Jan 13, 2017

This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgradu... more This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgraduate surgical training or service (SHO-DIPST) in surgical specialties across the United Kingdom (UK), against nationally agreed Joint Committee on Surgical Training Quality Indicators (JCST QIs). Specific recommendations are made, with a view to improving quality of training, workforce retention and recruitment to Higher Surgical Training. Prospective, observational, multicentre study conducted by the Association of Surgeons in Training, using the UK National Research Collaborative model. Any centres in the UK providing acute surgical services were eligible. SHO-DIPST with a permanent contract, on out-of-hours 'on-call rota' were included across four, one-week data capture periods (September to October 2016, February to March 2017). Adherence to five quality indicators was reported using descriptive statistics. P-values were calculated using Student's t-test for continuous dat...

Research paper thumbnail of A WZ Proof of a "Curious" Identity

Zenodo (CERN European Organization for Nuclear Research), Jun 2, 2003

We give a short WZ-proof of a binomial coefficient identity due to Zhi-Wei Sun.

Research paper thumbnail of A study of the role of leisure activities in the work withmultilingualism, identity and mother tongue

We want to investigate what language norms prevail in leisure centers and how these affect curren... more We want to investigate what language norms prevail in leisure centers and how these affect current multilingualism and mother tongue. We will touch on the translanguaging method and consider whether it can be implemented in the leisure center business. The language norm differs between different leisure activities, where some teachers encourage students to speak their own languages with other students with the same language, while other activities are against this. In order to have a positive development, it is important to have a secure identity. What is meant by identity? Identity is a concept that has different interpretations. In general, it can be said that identity isabout how a person sees themselves and memories from one's life experience, thoughts and feelings (Gudrun Svensson, National Agency for Education, 2018 article 1). There are two different definitions of multilingualism - simultaneous and successive, where simultaneous multilingualism means that the individual...

Research paper thumbnail of REFUGEE HEALTH — RESEARCH Barriers to access to health care for newly resettled

sub-Saharan refugees in Australia

Research paper thumbnail of The q-Markov-WZ Method

Annals of Combinatorics, 2005

Andrei Markov's 1890 beautiful ad-hoc method of transforming a series of hypergeometric type into... more Andrei Markov's 1890 beautiful ad-hoc method of transforming a series of hypergeometric type into a rapidly-converging series was upgraded recently to a full-fledged method by Mohammed and Zeilberger, but only for the ordinary case. In this article, the q-case is developed and it is shown how Markov's ad-hoc method, when coupled with q-WZ theory and q-Gosper's algorithm, leads to a new class of identities and very fast convergence-acceleration series that can be applied to any infinite series of q-hypergeometric type.

Research paper thumbnail of www.mja.com.au Refugee health — Research

issued a press release calling for more support from the Australian Government to “help cope with... more issued a press release calling for more support from the Australian Government to “help cope with serious diseases being detected among African refugees”.

Research paper thumbnail of Infinite families of accelerating series for some classical constants using the MWZ method, in preparation

In this article we show the Markov-WZ Method in action as it finds rapidly converging series repr... more In this article we show the Markov-WZ Method in action as it finds rapidly converging series representations for a given hypergeometric series. We demonstrate the method by finding new representations for log(2),ζ(2) and ζ(3).

Research paper thumbnail of Barriers to access to health care for newly resettled sub‐Saharan refugees in Australia

Medical Journal of Australia, 2006

Research paper thumbnail of The Markov-WZ Method

The Electronic Journal of Combinatorics

Andrei Markov's 1890 method for convergence-acceleration of series bears an amazing resemblan... more Andrei Markov's 1890 method for convergence-acceleration of series bears an amazing resemblance to WZ theory, as was recently pointed out by M. Kondratieva and S. Sadov. But Markov did not have Gosper and Zeilberger's algorithms, and even if he did, he wouldn't have had a computer to run them on. Nevertheless, his beautiful ad-hoc method, when coupled with WZ theory and Gosper's algorithm, leads to a new class of identities and very fast convergence-acceleration formulas that can be applied to any infinite series of hypergeometric type.

Research paper thumbnail of Counting Hexagonal Lattice Animals

Eprint Arxiv Math 0202295, Feb 27, 2002

We describe a bijection between hexagonal lattice animals and a special type of square lattice an... more We describe a bijection between hexagonal lattice animals and a special type of square lattice animals. Using this bijection we adopt Maple packages that automatically generates generating functions (and series expansions) for fixed square lattice lattice animals to that of fixed hexagonal animals on the two-dimensional hexagonal lattice confined to a strip 0 ≤ y ≤ k, for arbitrary k.

Research paper thumbnail of Zeroing in on Metamorpic Computer Viruses

Research paper thumbnail of Community perceptions about infectious disease risk posed by new arrivals: A qualitative study

The Medical journal of Australia

To report on perceptions about the risk of infectious diseases from new arrivals to Australia ari... more To report on perceptions about the risk of infectious diseases from new arrivals to Australia arising from a wider study of mothers' attitudes to childhood vaccination. Six focus groups on perceptions about the benefits and risks of vaccination with 37 mothers of children aged 5 weeks to 18 years, mostly conducted in middle-class areas of Sydney between 6 October and 15 December 1999. Mothers' views about infectious disease risk posed by immigration as a major reason to favour immunising children. The idea of immigration being the primary source of infectious diseases was striking, and arose among a number of participants in every group conversation. Mothers expressed their dread of new diseases "from overseas", and a sense that there are "more germs nowadays", mostly from increased immigration to Australia and international travel. Some perceived people coming from other countries as having more disease because of an innate susceptibility or through cult...

Research paper thumbnail of Camp to clinic: A refugee journey

The Medical journal of Australia

Research paper thumbnail of Infinite families of accelerated series for some classical constants by the Markov-WZ Method

Discrete Mathematics & Theoretical Computer Science - DMTCS, 2005

A function H(x, z), in the integer variables x and z, is called hypergeometric if H(x + 1, z)/H(x... more A function H(x, z), in the integer variables x and z, is called hypergeometric if H(x + 1, z)/H(x, z) and H(x, z + 1)/H(x, z) are rational functions of x and z. In this article we consider only those hypergeomet-ric functions which are a ratio of products of factorials (we call such hypergeometric functions pure-hypergeometric). A P-recursive function is a function that satisfies a linear recurrence relation with polynomial coefficients. A pair (H, G) is called a Markov-WZ pair (MWZ-pair for short) if there exists a polynomial P(x, z) in z of the form

Research paper thumbnail of Sharp upper bounds for the orders of the recurrences output by the Zeilberger and -Zeilberger algorithms

Journal of Symbolic Computation, 2005

We do what the title promises, and as a bonus, we get much simplified versions of these algorithm... more We do what the title promises, and as a bonus, we get much simplified versions of these algorithms, that do not make any explicit mention of Gosper's algorithm.

Research paper thumbnail of Early years postgraduate surgical training programmes in the UK are failing to meet national quality standards: An analysis from the ASiT/BOTA Lost Tribe prospective cohort study of 2,569 surgical trainees

International journal of surgery (London, England), Jan 13, 2017

This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgradu... more This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgraduate surgical training or service (SHO-DIPST) in surgical specialties across the United Kingdom (UK), against nationally agreed Joint Committee on Surgical Training Quality Indicators (JCST QIs). Specific recommendations are made, with a view to improving quality of training, workforce retention and recruitment to Higher Surgical Training. Prospective, observational, multicentre study conducted by the Association of Surgeons in Training, using the UK National Research Collaborative model. Any centres in the UK providing acute surgical services were eligible. SHO-DIPST with a permanent contract, on out-of-hours 'on-call rota' were included across four, one-week data capture periods (September to October 2016, February to March 2017). Adherence to five quality indicators was reported using descriptive statistics. P-values were calculated using Student's t-test for continuous dat...

Research paper thumbnail of Early years postgraduate surgical training programmes in the UK are failing to meet national quality standards: An analysis from the ASiT/BOTA Lost Tribe prospective cohort study of 2,569 surgical trainees

International journal of surgery (London, England), Jan 13, 2017

This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgradu... more This study aimed to assess training of Senior House Officer-grade equivalent doctors in postgraduate surgical training or service (SHO-DIPST) in surgical specialties across the United Kingdom (UK), against nationally agreed Joint Committee on Surgical Training Quality Indicators (JCST QIs). Specific recommendations are made, with a view to improving quality of training, workforce retention and recruitment to Higher Surgical Training. Prospective, observational, multicentre study conducted by the Association of Surgeons in Training, using the UK National Research Collaborative model. Any centres in the UK providing acute surgical services were eligible. SHO-DIPST with a permanent contract, on out-of-hours 'on-call rota' were included across four, one-week data capture periods (September to October 2016, February to March 2017). Adherence to five quality indicators was reported using descriptive statistics. P-values were calculated using Student's t-test for continuous dat...