Grid Curves
Grid Curves - Related Videos
07:43
Calibration Curves
0 Views •
2023
Source: Laboratory of Dr. B. Jill Venton - University of Virginia Calibration curves are used to understand the instrumental response to an analyte and predict the concentration in an unknown sample. Generally, a set of standard samples are made at various concentrations with a range than includes the unknown of interest and the instrumental response at each concentration is recorded. For more accuracy and to understand the error, the response at each concentration can be repeated so an error...
02:44
Heating and Cooling Curves
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2020
When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves. For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
02:23
Acid-Base Titration Curves
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2020
A titration curve is a plot of some solution property versus the amount of added titrant. For acid-base titrations, solution pH is a useful property to monitor because it varies predictably with the solution composition and, therefore, may be used to monitor the titration’s progress and detect its endpoint. Acid-base titration can be performed with a strong acid and a strong base, a strong acid and a weak base, or a strong base and a weak acid. For a titration carried out for 25.00 mL of 0.100...
08:01
Visualizing Proteins and Macromolecular Complexes by Negative Stain EM: from Grid Preparation to Image Acquisition
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Cited by 137 •
2011
Visualizing protein samples by negative stain electron microscopy (EM) has become a popular structural analysis method. It is useful for quantitative structural analysis, such as calculating a 3D reconstruction of the molecules being studied, and also for qualitative examination of the quality of protein preparations. In this article we present detailed protocols for preparing the EM grids, staining the sample and visualizing the sample in an electron microscope. Novice users can follow these...
12:15
Growth Curves: Generating Growth Curves Using Colony Forming Units and Optical Density Measurements
0 Views •
2023
Source: Andrew J. Van Alst1, Rhiannon M. LeVeque1, Natalia Martin1, and Victor J. DiRita1 1 Department of Microbiology and Molecular Genetics, Michigan State University, East Lansing, Michigan, United States of America Growth curves provide valuable information on bacterial growth kinetics and cell physiology. They allow us to determine how bacteria respond in variable growth conditions as well as to define optimal growth parameters for a given bacterium. An archetypal growth curve progresses...
FAQs
Changing the coordinates of plotted points changes the curve’s position, scale, or shape on the grid. Comparing the original and modified plots helps reveal how horizontal or vertical changes affect features such as intercepts, slope, symmetry, and curvature. This visual comparison connects coordinate values with the geometric behavior produced by the underlying rule.
Slope describes how the curve changes as coordinates vary, while intercepts identify where it meets a coordinate reference line. Examining both gives a concise way to compare curves and relate their graphical features to equations. On a grid, these characteristics can often be estimated visually before a more exact symbolic calculation is attempted.
Symmetry shows whether parts of a curve correspond in a balanced way across the grid, whereas curvature describes how the curve bends or changes direction. These features make broad patterns easier to recognize than a list of ordered pairs. Identifying them supports comparisons among graphs and helps students connect visual structure with the rules generating the curves.
Begin with the rule that determines the relationship between coordinates, then select suitable coordinate values and calculate or identify the corresponding ordered pairs. Plot those points carefully on the regularly spaced grid, connect them according to the rule, and inspect the resulting shape. Finally, check visible features such as intercepts, slope, symmetry, and curvature for consistency.
A graph allows an equation to be examined through position, scale, and shape rather than symbols alone. Students can compare curves, estimate values, and identify how coordinate changes correspond to visible features. This approach is especially useful when two relationships have different graphical behavior, because the grid makes similarities and differences easier to inspect directly.
Grid curves are useful when measured relationships need to be represented visually or when a mathematical model must be compared with observed patterns. Plotting the relevant coordinate pairs can expose trends, shape, and possible differences between relationships. In mathematics, this supports analytic geometry, data visualization, modeling, and the analysis of measured relationships.