tartidu

valsi

tartidu

type

fu'ivla

creator

krtisfranks

time entered

Sun Feb 7 16:21:57 2016  

English

Definition #68369 - Preferred

 

definition

x₁ is directly/linearly proportional to x₂ via coefficient/constant of proportionality x₃ and background/constant offset x₄; there exists constants x₃ and x₄ such that MATH

$x_1 = x_3*x_2 + x_4$

x₁ = x₃*x₂ + x₄.

notes

x₂ may be an incomplete list of quantities. These should be variable. x₃ should be a fixed constant for the universe, situation, object in question. x₄ is possibly variable but may also be fixed by the environmwnt/context/situation. The equality should be exact in a model/in theory. If one is taking a linear approximation of a function which does not behave linearly with respect to x₂, then caveats must be included (such as by using a tanru in order to specify approximation) or by separation (using be; "f approximates g, which is proportional [[[tartidu|tartidu]]] to h, with error z, which is proportional [[[tartidu|tartidu]]] to w"). x₂ can be any of a fairly general class of nunvers, including a variable/unknown (with or without units) and a function (which need not be linear). Inverse or joint proportionality can simply be expressed using division and multiplication respectively. All terbri should be filled with either pure numbers (li; general) or quantified concepts (such as physical quantities).

gloss words

• proportional

created by

krtisfranks

vote information

1

time

Fri Feb 12 04:02:18 2016

[View Comments For This Definition]