The line represents a linear function that can be used with any value of x to apply the slope of the line and its intercept (where the line crosses the y axis when x is 0) to calculate y. In this case, if we extended the line to the left, we'd find that when x is 0, y ...
What is a linear equation? Which pattern of numbers represents a linear equation: 3, 9, 15, 21, 27, 33; 7, 5, 9, 3, 17, 1; 1, 3, 1, 3, 1, 3; 2, 4, 8, 16, 32, 64? What is the formula of linear interpolation? What is an equation? What are the key differences ...
What rule represents this function (0,1), (1,0.5), (2,0.25), (3,0.125), (4,0.0625)? Which of the following functions are an example of discrete growth? i f(x) = 1/3(1/2)^x ii f(x) = 2(1/3)^x iii f(x) = 1/3(2^x) (a) ii and iii only (b) i onl...
This plot represents the combined effort of nearly a dozen papers, each one of which claims one or more components of the depicted piecewise smooth curve, and is written in the “human-readable” style mentioned above, where the argument is arranged to reduce the amount of tedious computation ...
There is no unit for strain because it represents an expansion (contraction) as a ratio. In other words, it is treated as a “unitless” number. However, to indicate that “a given number represents a strain,”“ST” (an abbreviation of strain) or “ε” (because strain is generally re...
The model describes the relationship between a dependent variable y (also called the response) as a function of one or more independent variables Xi (called the predictors). The general equation for a linear regression model is: Y=β0+∑ βkXk+ϵi where β represents linear parameter ...
Each node in the graph represents a single Entity. The graph also displays the relationship types and any Indicators. Hovering over an Entity will highlight it and all of its relationships to other Entities, and when an Entity is selected, details about the Entity are displayed so the user ...
It’s not a probability itself, but the area under the curve between two points represents the probability of the variable falling within that range. The probability density function for the normal distribution is given by: In the formula, μ (mu) is the population mean, σ (sigma) is the...
2. Linear Convolution: Intuitive Understanding and Mathematical Model Convolution combines two functions to produce a third function, showing how one modifies the other. In this section, we’ll offer an intuitive understanding of linear convolution before presenting its mathematical model. ...
k: represents horizontal stretch or compression of factor {eq}\frac{1}{k} {/eq}. When {eq}k {/eq} is negative there is also a reflection over {eq}y {/eq}-axis. b: horizontal translation in the opposite...