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Algebra
Published in John Bird, Bird's Engineering Mathematics, 2021
When an increase or decrease in an independent variable leads to an increase or decrease of the same proportion in the dependent variable this is termed direct proportion. If y=3x then y is directly proportional to x, which may be written as yαx or y=kx, where k is called the coefficient of proportionality (in this case, k being equal to 3).
Algebra
Published in John Bird, Engineering Mathematics, 2017
When an increase or decrease in an independent variable leads to an increase or decrease of the same proportion in the dependent variable this is termed direct proportion. If y=3x $ y\,{=}\,3x $ then y is directly proportional to x, which may be written as yαx $ y\,{\alpha }\,x $ or y=kx $ y\,{=}\,kx $ , where k is called the coefficient of proportionality (in this case, k being equal to 3).
Design
Published in Wanda Grimsgaard, Design and Strategy, 2023
The conscious use of size and proportions is an important factor in visual design. Size is something that can be measured and expressed in numbers. Proportion is the comparable aspect ratio between things, such as size in relation to quantity, height, width, amount, number, distribution, and so on. Proportional means that the size increases or decreases in the same ratio, or that two sizes vary so that their ratio remains constant. Both size and proportions are important in terms of aesthetics and function. Regarding three-dimensional aspect ratios, many of the same basic principles apply to proportions as for two-dimensional formats.
Development of mathematics trainee teachers’ knowledge while creating a MOOC
Published in International Journal of Mathematical Education in Science and Technology, 2020
Klemer Anat, Keisar Einav, Rapoport Shirley
Proportional thinking deals with a multiplicative mathematical relationship. Formally, the definition of proportion is an equality of two ratios. The ratio is a quotient, the result of the division of two numbers, sizes or expressions. For example, the ratio between the numbers n1 and n2 is defined as n1/n2. Proportion is a comparison between ratios. The multiplicative relation, which created the first ratio, equals the multiplicative relation creating the second ratio. Given two ratios, the ratios will be equal or of the same proportion, when n1/n2=n3/n4 (Ben Haim, Keret, & Ilani, 2006).