Perimeter Invariance
Perimeter Invariance - Related Videos
03:35
Isolating Invariant Natural Killer T Cells from a Mouse Model
0 Views •
2025
This video illustrates a method for isolating invariant natural killer T cells, also known as iNKT cells. The procedure begins with injecting a synthetic glycolipid into a mouse to stimulate the activation and proliferation of iNKT cells in the spleen. Subsequently, single-cell suspensions are prepared from the spleen and incubated with iNKT-cell-recognizing complexes labeled with fluorophores, followed by magnetic bead-based separation, to isolate the iNKT cells.
01:23
Linear time-invariant Systems
0 Views •
2024
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters. The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...
09:01
An Optimized Method for Isolating and Expanding Invariant Natural Killer T Cells from Mouse Spleen
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Cited by 17 •
2015
Here we present an adapted protocol that can be used to generate a large number of murine invariant natural killer T cells from mouse spleen. The protocol outlines an approach by which splenic iNKT cells can be enriched for, isolated and expanded in vitro using a limited number of animals and reagents.
08:37
Purification and Expansion of Mouse Invariant Natural Killer T Cells for in vitro and in vivo Studies
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Cited by 5 •
2021
We describe a rapid and robust protocol to enrich invariant natural killer T (iNKT) cells from mouse spleen and expand them in vitro to suitable numbers for in vitro and in vivo studies.
08:27
Applying an eMASS Customization Program as a Research Tool to Evaluate Consumer Benefits
0 Views •
2019
Presented here is a protocol to examine consumer responses toward mass customization in the context of online retailing. The protocol details the online survey procedure and how to analyze data using structural equation modeling and group differences using latent mean analyses.
FAQs
A rigid motion maintains the distance between every pair of corresponding points. Consequently, the endpoints of each boundary segment remain the same distance apart after a translation, rotation, or reflection. Because every individual side length is preserved, adding those corresponding lengths produces the same total perimeter. This segment-by-segment reasoning is stronger than judging whether two figures merely look alike.
Equal area alone does not guarantee equal boundary lengths, because differently shaped figures can enclose the same amount of space. Perimeter invariance supplies an additional test: if one figure results from repositioning another by a rigid motion, corresponding sides and the total boundary length agree. Thus, perimeter helps confirm congruence when visual appearance or area provides insufficient evidence.
The principle no longer applies automatically when a transformation changes lengths. Stretching or compressing can alter one or more boundary segments, so their sum may also change, even if the figure retains a related shape or a recognizable appearance. The relevant question is whether each corresponding boundary distance stays fixed, not simply whether the transformation preserves the figure’s general form.
List the figure’s vertices in boundary order, determine the distance between each consecutive pair, and add those lengths. Repeat the calculation for the transformed vertices. Matching totals support the conclusion that the transformation preserved the perimeter, while a discrepancy indicates that at least one boundary distance changed or that the vertices were connected in an inconsistent order.
First identify every boundary segment and record its length or the information needed to determine it. Apply the stated transformation, then match each original segment with its image and compare their lengths. Finally, sum the image segments and compare that total with the original perimeter. This workflow can reveal construction errors without relying only on a diagram’s visual appearance.
When a reflection or rotation maps a figure onto a corresponding position, unchanged boundary lengths provide a quantitative check on the symmetry. The perimeter can therefore help verify that parts of a construction match as intended and that spatial relationships were preserved. In coordinate geometry, comparing the original and transformed totals turns a visual symmetry claim into a measurable conclusion.