For vectors in ℝ n, for example, we also have geometric intuition involving the length of a vector or the angle formed by two vectors. In this chapter we discuss inner product spaces, which are vector ...

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last ...

The standard interpretation of a null state, or empty state, posits it as devoid of structure. This paper introduces a ...

The Namibian Mathematics Institute (NMI) received a donation of N$88 800 from Nedbank Namibia to advance education and youth development in the country. Human Capital Executive at Nedbank, Bianca ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

This study presents valuable findings from a spatiotemporal analysis of arbovirus case notification data from 2013 to 2020 in Brazil, reporting associations between covariates representing potential ...

Gold ETFs provide easy access to physical gold or gold mining stocks. Investors should choose large ETFs with low expense ratios under 1% for safer investments. Physical gold ETFs are less risky than ...

Quantum computing is set to redefine data security, AI, and cloud infrastructure. This in-depth research explores how post-quantum cryptography, quantum AI acceleration, and hybrid quantum-cloud ...

ABC Education brings you high-quality educational content to use at home and in the classroom. All our resources are free and mapped to the Australian Curriculum More from ABC We acknowledge ...

November 2025 is free application month for all new undergraduate students who apply to Kennesaw State. Applying for Spring, Summer, and Fall 2026 is free for freshmen, transfers, international ...