School of Mathematics

Cryptic crossword

Cryptic crossword from Contours magazine 2014-15 Edition

1         2
  Maths  
3          
  Cryptic  
  No 1  
4          

Across

  1. Rings from void one (6)

  2. Round decrepit relic found at the end of a field (6)

  3. Maclaurin has such views about the Royal Institution (6)

Down

  1. Function for confused car companies (6)

  2. Principles: they're not necessarily right! (6)

 

Solutions

Across

  1. Rings from void one (6)   ANNULI

    Quite simply, annuli are rings - they are the space you find between two concentric circles:

    Annulus image

    (the rest of the clue works because void=ANNUL and one=I in Roman numerals).

  2. Round decrepit relic found at the end of a field (6)   CIRCLE

    As you probably know, a circle is round! The rest of the clue works because CIRCLE is C followed by an anagram of “relic” - and in maths, \(\mathbb{C}\) is the symbol used to represent the set of complex numbers. The complex numbers are an example of a “field”, which is a kind of object studied in abstract algebra, and they include all the imaginary numbers such as the famous \(i=\sqrt{-1}\).

  3. Maclaurin has such views about the Royal Institution (6)   SERIES

    Maclaurin series are a special kind of infinite sum; they are named after the mathematician Colin Maclaurin (who was a professor at the University of Edinburgh). The rest of the clue comes from views=SEES surrounding (“about”) RI=Royal Institution.

Down

  1. Function for confused car companies (6)   ARCCOS

    This is an anagram of CAR COS (= car companies), while “arccos” in maths is an example of a trigonometric function. Here is a graph of the function:

    arcos image

     

  2. Principles: they're not necessarily right! (6)   IDEALS

    Ideals are objects which are studied in ring theory, a branch of abstract algebra. They come in two types - left and right.