The phrase "a new relation between" is correct and usable in written English.
It can be used when discussing the establishment or change of connections or interactions between two or more entities, concepts, or individuals.
Example: "The research aims to explore a new relation between diet and mental health."
Alternatives: "a new connection between" or "a new link between".
A new relation between these length scales is obtained here.
Perhaps the different fates of the new cooking in France and America are a sign of a new relation between them.
To achieve this, we have redesigned the blade and vane profiles and improved the interaction between them by means of a new relation between their setting angles.
Using genetic programming enabled us to find a new relation between vaporization enthalpy and thermo-physical properties such as specific gravity, molecular weight and boiling point temperature.
The paper presents a new relation between osculating and mean orbital elements based on the Mersman (1970) algorithm for the Hori-Lie perturbation method.
For this purpose a new relation between the Flory factor P and the scaling exponent b (in the equation f = KfMb) has been proposed.
When this is determined, a new relation is created between both attributes, and it appears as a link in the graphical expression.
Yet, an inflexible memory representation does not suffice normal performance on our word pair task because this task requires that a new relation be established between two concept nodes (and their semantic neighbours).
A new relation is also established between the latitudinal dependence of the solar wind speed and the perpendicular polar diffusion.
PAGE 6 CUBA STILL TOPIC 1 AT MEETING A day after President Obama opened a door to new relations between Washington and Cuba, Latin American leaders at a summit meeting in Port of Spain, Trinidad and Tobago, were pressing the United States to do more.
The two told NSC staff members that they were business partners of the president's son and wanted to pitch a plan to build new relations between the United States and Nicolás Maduro, Venezuela's socialist leader.
