https://www.cambridge.org/core/blog The home of academic content Thu, 12 Dec 2024 03:34:29 +0000 en-GB hourly 1 https://wordpress.org/?v=6.8.3 https://www.cambridge.org/core/blog/2024/12/12/a-free-boundary-model-for-transport-induced-neurite-growth/ https://www.cambridge.org/core/blog/2024/12/12/a-free-boundary-model-for-transport-induced-neurite-growth/#respond <![CDATA[Lorenz Kuger]]> Thu, 12 Dec 2024 16:00:00 +0000 <![CDATA[News]]> <![CDATA[EJAM]]> <![CDATA[enviroment]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[Mathematics]]> <![CDATA[Open Access]]> https://www.cambridge.org/core/blog/?p=61415 <![CDATA[Understanding the mechanisms of neuronal development is vital for elucidating the intricate processes that govern the nervous system. In a neuron’s final form, it is composed of a long axon and multiple dendrites.…]]> https://www.cambridge.org/core/blog/2024/12/12/a-free-boundary-model-for-transport-induced-neurite-growth/feed/ 0 https://www.cambridge.org/core/blog/2024/08/20/new-research-explores-collaborative-population-dynamics-of-plants-and-insects/ https://www.cambridge.org/core/blog/2024/08/20/new-research-explores-collaborative-population-dynamics-of-plants-and-insects/#respond <![CDATA[Lorenz Kuger]]> Tue, 20 Aug 2024 04:11:04 +0000 <![CDATA[Mathematics]]> <![CDATA[EJAM]]> <![CDATA[enviroment]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[Open Access]]> https://www.cambridge.org/core/blog/?p=60216 <![CDATA[Understanding the evolution of nature through a model describing collaborative population dynamics of plants and insects.]]> https://www.cambridge.org/core/blog/2024/08/20/new-research-explores-collaborative-population-dynamics-of-plants-and-insects/feed/ 0 https://www.cambridge.org/core/blog/2024/04/30/how-opinion-dynamics-can-be-used-for-mathematical-optimization/ https://www.cambridge.org/core/blog/2024/04/30/how-opinion-dynamics-can-be-used-for-mathematical-optimization/#respond <![CDATA[Lorenz Kuger]]> Tue, 30 Apr 2024 17:23:58 +0000 <![CDATA[Mathematics]]> <![CDATA[News]]> <![CDATA[EJAM]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[Open Access]]> https://www.cambridge.org/core/blog/?p=59136 <![CDATA["Swarm intelligence," a term that abstractly captures the collective tendency to facilitate consensus formation by exchanging information within groups of individuals, whether they are animals, humans, or even artificial agents.]]> https://www.cambridge.org/core/blog/2024/04/30/how-opinion-dynamics-can-be-used-for-mathematical-optimization/feed/ 0 https://www.cambridge.org/core/blog/2024/01/18/the-special-relationship-between-mistletoe-birds-and-mathematics/ https://www.cambridge.org/core/blog/2024/01/18/the-special-relationship-between-mistletoe-birds-and-mathematics/#respond <![CDATA[Leanne Beeken]]> Thu, 18 Jan 2024 10:22:10 +0000 <![CDATA[Mathematics]]> <![CDATA[News]]> <![CDATA[EJAM]]> <![CDATA[environment]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[Open Access]]> https://www.cambridge.org/core/blog/?p=57677 <![CDATA[How does mistletoe grow? How does mistletoe spread? And, curiously, how does this link to the latest mathematical research?]]> https://www.cambridge.org/core/blog/2024/01/18/the-special-relationship-between-mistletoe-birds-and-mathematics/feed/ 0 https://www.cambridge.org/core/blog/2023/11/27/how-mathematics-and-statistics-supported-the-covid-19-response-in-australia-and-new-zealand/ https://www.cambridge.org/core/blog/2023/11/27/how-mathematics-and-statistics-supported-the-covid-19-response-in-australia-and-new-zealand/#comments <![CDATA[MICHAEL J. PLANK and JAMES M. MCCAW]]> Mon, 27 Nov 2023 11:00:00 +0000 <![CDATA[Mathematics]]> <![CDATA[ANZIAM Journal]]> <![CDATA[Australia]]> <![CDATA[Australian Mathematical Society]]> <![CDATA[COVID-19]]> <![CDATA[government]]> <![CDATA[infection]]> <![CDATA[New Zealand]]> <![CDATA[open acces]]> <![CDATA[pandemic]]> <![CDATA[response]]> <![CDATA[Statistics]]> https://www.cambridge.org/core/blog/?p=56789 <![CDATA[The Covid-19 pandemic thrust mathematical modelling into the spotlight like never before. As governments around the world scrambled to respond to the crisis, infectious disease models became a crucial strand of evidence, allowing us to measure transmission and evaluate the likely outcome of alternative response options.…]]> https://www.cambridge.org/core/blog/2023/11/27/how-mathematics-and-statistics-supported-the-covid-19-response-in-australia-and-new-zealand/feed/ 1 https://www.cambridge.org/core/blog/2023/09/20/a-pedestrian-dynamics-model-accounting-for-the-body-size-of-agents/ https://www.cambridge.org/core/blog/2023/09/20/a-pedestrian-dynamics-model-accounting-for-the-body-size-of-agents/#respond <![CDATA[Lorenz Kuger]]> Wed, 20 Sep 2023 07:54:06 +0000 <![CDATA[Mathematics]]> <![CDATA[applied mathematics]]> <![CDATA[EJAM]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[Open Access]]> https://www.cambridge.org/core/blog/?p=56084 <![CDATA[Introducing a mathematical model for pedestrian dynamics that is based on social forces between pedestrians in exemplary hallway or crossing situations.]]> https://www.cambridge.org/core/blog/2023/09/20/a-pedestrian-dynamics-model-accounting-for-the-body-size-of-agents/feed/ 0 https://www.cambridge.org/core/blog/2023/06/02/introducing-moduli/ https://www.cambridge.org/core/blog/2023/06/02/introducing-moduli/#respond <![CDATA[Jørgen Ellegaard Andersen, Steve Bradlow, Dan Halpern-Leistner, Vicky Hoskins, Frances Kirwan, Margarida Melo and Anna Wienhard]]> Fri, 02 Jun 2023 11:00:00 +0000 <![CDATA[Mathematics]]> <![CDATA[London Mathematical Society]]> <![CDATA[Moduli]]> <![CDATA[Pure maths]]> http://cupblog.bluefusesystems.com/?p=53898 <![CDATA[Moduli Managing Editors introduce the new open access mathematics journal owned by the Foundation Compositio Mathematica, published in collaboration with the LMS and Cambridge University Press.]]> https://www.cambridge.org/core/blog/2023/06/02/introducing-moduli/feed/ 0 https://www.cambridge.org/core/blog/2023/04/13/the-latest-research-in-training-modern-machine-learning-models-a-deterministic-modification-of-gradient-descent-that-avoids-saddle-points/ https://www.cambridge.org/core/blog/2023/04/13/the-latest-research-in-training-modern-machine-learning-models-a-deterministic-modification-of-gradient-descent-that-avoids-saddle-points/#respond <![CDATA[Lorenz Kuger]]> Thu, 13 Apr 2023 04:36:00 +0000 <![CDATA[Mathematics]]> <![CDATA[AI]]> <![CDATA[applied mathematics]]> <![CDATA[Applied Maths]]> <![CDATA[Artificial Intelligence]]> <![CDATA[EJAM]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[machine learning]]> <![CDATA[Maths]]> <![CDATA[saddle points]]> http://cupblog.bluefusesystems.com/?p=53598 <![CDATA[Machine learning models, particularly those based on deep neural networks, have revolutionized the fields of data analysis, image recognition, and natural language processing. A key factor in the training of these models is the use of variants of gradient descent algorithms, which optimize model parameters by minimizing a loss function. However, the training optimization problem for neural networks is highly non-convex, presenting unique challenges.]]> https://www.cambridge.org/core/blog/2023/04/13/the-latest-research-in-training-modern-machine-learning-models-a-deterministic-modification-of-gradient-descent-that-avoids-saddle-points/feed/ 0 https://www.cambridge.org/core/blog/2023/03/14/its-3-14-to-celebrate-pi-day-learn-more-about-the-latest-research-with-forum-of-mathematics-pi/ https://www.cambridge.org/core/blog/2023/03/14/its-3-14-to-celebrate-pi-day-learn-more-about-the-latest-research-with-forum-of-mathematics-pi/#respond <![CDATA[Leanne Beeken]]> Tue, 14 Mar 2023 10:00:00 +0000 <![CDATA[Mathematics]]> <![CDATA[applied mathematics]]> <![CDATA[Forum of Mathematics]]> <![CDATA[Pi Day]]> <![CDATA[pure mathematics]]> http://cupblog.bluefusesystems.com/?p=53183 <![CDATA[Pi Day is celebrated around the world on the fourteenth day of the third month (3/14). The date representation of 3.14 is the most basic ratio of the circumference of a circle to its diameter. We've collated the top 10 most read papers from 2022 in Forum of Mathematics, Pi for all mathematicians, from researchers to students.]]> https://www.cambridge.org/core/blog/2023/03/14/its-3-14-to-celebrate-pi-day-learn-more-about-the-latest-research-with-forum-of-mathematics-pi/feed/ 0 https://www.cambridge.org/core/blog/2022/11/17/the-pagerank-algorithm-analysed-by-ejam/ https://www.cambridge.org/core/blog/2022/11/17/the-pagerank-algorithm-analysed-by-ejam/#respond <![CDATA[Lorenz Kuger]]> Thu, 17 Nov 2022 11:00:00 +0000 <![CDATA[Mathematics]]> <![CDATA[applied mathematics]]> <![CDATA[Applied Maths]]> <![CDATA[EJAM]]> <![CDATA[European Journal of Applied Mathematics]]> <![CDATA[Maths]]> <![CDATA[PageRank algorthim]]> <![CDATA[partial differential equations on graphs and networks]]> <![CDATA[second-order elliptic equations]]> <![CDATA[viscosity solutions]]> http://cupblog.bluefusesystems.com/?p=50620 <![CDATA[The PageRank algorithm was developed by Google co-founder Larry Page, and first introduced in 1998. It is based on the idea that a website’s importance can be measured by the number of other websites that link to it. Here, EJAM researchers study the PageRank algorithm.]]> https://www.cambridge.org/core/blog/2022/11/17/the-pagerank-algorithm-analysed-by-ejam/feed/ 0