## 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…

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

Prerequisites: Dashed line theory definitions and symbols Computation of a dash value in a linear third order dashed line First…

Prerequisites: Our proof strategies Factorization dashed lines Properties of the spaces of the factorization dashed lines can be used to…

Prerequisites: Our proof strategies Periodicity and symmetry in linear dashed lines When constructing a linear dashed line, the sequence of…

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

Prerequisites: Computation of spaces in second order linear dashed lines Inclusion-exclusion principle (preferential) By now, the formula for calculation of…

Prerequisites: Dashed line theory definitions and symbols Computation of a dash value in a linear third order dashed line Computation…

Prerequisite: Characterization of spaces General aspects One of the still open problems of dashed line theory is, given a linear…

Prerequisite: Our proof strategies The proof strategy shown here is aimed at proving the Hypothesis H.1 (Hypothesis of existence of…

Prerequisites: Goldbach’s conjecture From prime numbers to dashed lines Periodicity and symmetry in linear dashed lines As already stated, our…

Prerequisite: Our proof strategies The proof strategy which will be exposed here starts from one of the premises of Hypothesis…

Dashed line theory is a new mathematical theory which studies the connection between the sequence of natural numbers and their…

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

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

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

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

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

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

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

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

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

The difficulty of computing the t, t_value and t_space functions, increases as the order of the dashed line does. Their…

Charles, Mary and Tom are three friends who like jogging. Today they went jogging together, but each of them follow…

The dashed line viewer lets you to show a dashed line at your choice, with the possibility to highlight spaces…

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

A dashed line can be represented as a table having a fixed number of rows, and, potentially, infinite columns, numbered…

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