Fundamental representations and algebraic properties of biquaternions or complexified quaternions

The fundamental properties of biquaternions (complexified quaternions) are presented including several different representations, some of them new, and definitions of fundamental operations such as the scalar and vector parts, conjugates, semi-norms, polar forms, and inner and outer products. The notation is consistent throughout, even between representations, providing a clear account of the many ways in which the component parts of a biquaternion may be manipulated algebraically

Coupling of palaeontological and neontological reef coral data improves forecasts of biodiversity responses under global climatic change

Occurrence data for modern and LIG reef corals, as well as the training data for ecological niche modelling. Training data is subsampled to 1.25° x 1.25° and clipped to cells with available environmental data

The pedunculopontine tegmental nucleus and the nucleus basalis magnocellularis: Do both have a role in sustained attention?

It is well established that nucleus basalis magnocellularis (NbM) lesions impair performance on tests of sustained attention. Previous work from this laboratory has also demonstrated that pedunculopontine tegmental nucleus (PPTg) lesioned rats make more omissions on a test of sustained attention, suggesting that it might also play a role in mediating this function. However, the results of the PPTg study were open to alternative interpretation. We aimed to resolve this by conducting a detailed analysis of the effects of damage to each brain region in the same sustained attention task used in our previous work. Rats were trained in the task before surgery and post-surgical testing examined performance in response to unpredictable light signals of 1500 ms and 4000 ms duration. Data for PPTg lesioned rats were compared to control rats, and rats with 192 IgG saporin infusions centred on the NbM. In addition to operant data, video data of rats' performance during the task were also analysed

Transatlantic sketches.

Lecture I. British America.--Lecture II. United StatesElectronic reproduction. Washington, D.C. : Library of Congress, [2002-2003

A course of lectures on natural philosophy and the mechanical arts,

Contains the lectures which form vol. I of the 1807 edition.Authorities in foot-notes and at end of each lecture.v. I, pt. I. Mechanics. pt. II. Hydrodynamics. pt. III. Physics.--v. II. Plates.Mode of access: Internet

Supplementary Material 1

Occurrence data for modern and LIG reef corals, as well as the training data for ecological niche modelling. Training data is subsampled to 1.25° x 1.25° and clipped to cells with available environmental data

Supplementary Material 2

Additional methods and result

Supplementary Material 3

Sum of cells within 5° latitudinal bins for all model classes, binary thresholds and climate scenarios