Study about the existence of complementary space pairs based on second order dashed lines

Prerequisites: Dashed line theory definitions and symbols Our proof strategies Proof strategy based on dashes Characterization of spaces The aim…

14. A recursive property of linear dashed lines with two by two coprime components

In this post we'll talk about a recursive property, that is true for all linear dashed lines with two by…

18. Calculation of t_space for dashed lines of arbitrary order

By now, the formula for calculation of $\mathrm{t\_space}$ for a linear dashed line of any order is not yet known,…

13. Computation of spaces in second order linear dashed lines

In this post we'll see how to obtain a formula for computing the t_space function for second order linear dashed…

12. Computation of a dash value in a linear third order dashed line

In order to compute the x-th dash value in a third order linear dashed line, we can proceed in a…

11. Computation of a dash value in a linear second order dashed line

In this post we'll see how it's possible to compute the x-th dash value in a second order linear dashed…

10. Row computation and differences between dash values

It's worth, before passing to the formulas of t_value, pausing for a while and looking closely to the moduli we…

9. Row computation in third order linear dashed lines

For third order linear dashed lines, like second order ones, there exist some particular moduli which, by evaluating proper conditions,…

8. Row computation in second order linear dashed lines

It may sound strange, but it's possible to compute a dash row without having an idea of its value (that…

3. Periodicity and symmetry in linear dashed lines

In this post we'll talk about two fundamental properties of linear dashed lines: periodicity and symmetry. When we talk about…

7. Downcast characteristic equations of t and t_value for linear dashed lines

Solving the downcast problem, for linear dashed lines, means finding the solution of particular equations, called "downcast characteristic equations". In…

5. First order linear dashed lines

We saw that one of the main problems of dashed line theory is computing the t, t_value and t_space functions.…

2. Dashed lines, dashes and spaces: some definitions and simple properties

In the formal definition of dashed line, a dash is a couple of natural numbers (i, n), where i identifies…