Proportional Enlargement
Proportional Enlargement - Related Videos
01:22
Enlargement of the Plasma Membrane
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2023
Cell division and enlargement are processes that require precise control. The control ensures that cell division cannot proceed unless the cell has grown to a specific size. A spherical, dividing cell requires an approximately 1.6X increase in its surface area to double its volume. The secretory pathway also has a significant role in cell membrane enlargement. Secretory vesicles that bud off from the Golgi apparatus and later fuse with the plasma membrane during exocytosis are a major source of...
01:20
Sample Proportion and Population Proportion
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2023
Collecting samples or responses from an entire population takes significant time and effort, so a researcher collects responses from only a sample of that population. Suppose a study needs to collect information about a specific mobile application. After sample collection, the researcher analyzes the data and discovers that most individuals in the sample use that specific mobile application. The sample proportion measures the number of individuals in a sample who either use or don't use the...
01:24
Testing a Claim about Population Proportion
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2023
A complete procedure for testing a claim about a population proportion is provided here. There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data. The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
01:09
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
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2026
Drug response models describe how pharmacological agents interact with biological systems to produce measurable effects. Baseline responses are inherent physiological activities without a drug significantly influencing the observed pharmacological outcomes. Depending on the drug response model employed, these baseline responses may combine with the drug's effect in either an additive or proportional manner.Additive Drug Response ModelIn the additive model, the drug effect is independent of the...
07:41
Quantification of Levator Ani Hiatus Enlargement by Magnetic Resonance Imaging in Males and Females with Pelvic Organ Prolapse
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Cited by 2 •
2019
Here we present a protocol to standardize the measurement of the levator ani hiatus size by magnetic resonance imaging. The purpose is to extract biomechanical inferences from image analysis by comparing resting and straining values in patients of both sexes with pelvic prolapse, using consistent anatomical bony landmarks.
FAQs
Each coordinate or length is multiplied by the same scale factor, so the enlarged figure remains consistent with the original geometry. This coordinate rule provides an exact way to construct the new position of every point rather than estimating from a diagram. It is especially useful when figures are represented on a coordinate grid.
Equal corresponding angles and proportional corresponding sides show that the enlargement has preserved the figure’s shape. If side ratios differ or angles change, the transformation is not proportional. These checks help distinguish a genuine enlargement from a distortion, particularly when interpreting diagrams, scale drawings, or coordinate representations.
The scale factor controls more than the visible length of each side. Because area and volume depend on the dimensions of a figure or solid, changing all dimensions by the same factor changes these measurements in a related, predictable way. This makes the scale factor important when comparing the size of original objects, models, and enlarged designs.
Compare one enlarged length with its corresponding original length and express the relationship as a ratio. If the same ratio applies to the other corresponding dimensions, it can be used as the scale factor for the entire figure. Checking several pairs helps confirm that the measurements describe one proportional transformation rather than an accidental match.
First identify corresponding points, sides, or measurements in the original figure and the enlarged version. Determine the common scale factor, then multiply each relevant length or coordinate by that factor. Plot or draw the resulting values, and compare corresponding angles and side ratios to verify that the completed figure retains the intended shape.
The method supports scale drawings, maps, technical plans, geometric models, and problems involving measurement or spatial relationships. A single scale factor allows a small representation to communicate the dimensions of a larger figure while retaining its shape. Researchers, designers, and students can therefore connect diagram measurements with the objects or spaces they represent.