1. We leave to the reader the explanation as to why each of the asserted equalities holds.

2. The formal algebraic manipulation of series investigated by Lagrange and Laplace in the 1770s has been put in the form of operator equalities by Arbogast in 1800.

3. By this transformation of all questions of quality into questions only of quantity, geometry is reduced to the single problem of the measurement of magnitudes, that is, the Ascertainment of the equalities which exist between them.

4. “Knowing the Ayahs’ Home found its place in Hackney is a fine example of our borough’s reputation for providing a welcoming and safe refuge for people from all over the world and its tradition for championing equalities and women's rights.

5. Covered subject areas are Arithmetic, Pre-algebra, Algebra I and II, Trigonometry and Hyperbolic Trigonometry. The Arithmetic and Pre-Algebra modules offer tasks on simplification and evaluation of numeric expressions, including fractional expressions, computational problems, proofs of numeric equalities.