## Heatmap: Mean and Standard Deviation of Conductance ### Overview The image presents two heatmaps side-by-side. The left heatmap displays the mean conductance values, while the right heatmap shows the standard deviation (STD) of conductance. Both heatmaps share the same axes, representing "source conductance" and "target conductance" in micrograms (µG). The color intensity in each heatmap corresponds to the magnitude of the mean or STD value, as indicated by the color bars on the right of each heatmap. ### Components/Axes **Left Heatmap (Mean):** * **Title:** Mean, (Error:0.22) * **X-axis:** target conductance (µG), ranging from -10 to 10 in integer increments. * **Y-axis:** source conductance (µG), ranging from -10 to 10 in integer increments. * **Color Bar:** Ranges from -7.5 (dark purple) to 8.4 (light orange). **Right Heatmap (STD):** * **Title:** STD * **X-axis:** target conductance (µG), ranging from -10 to 10 in integer increments. * **Y-axis:** source conductance (µG), ranging from -10 to 10 in integer increments. * **Color Bar:** Ranges from 0.0009 (dark purple) to 3.4 (light orange). ### Detailed Analysis **Left Heatmap (Mean):** The values in the heatmap represent the mean conductance. The values are shown for each combination of source and target conductance. * **Trend:** The mean conductance generally increases as both source and target conductance increase. The lower-left corner (negative source and target conductance) shows the lowest values (dark purple), while the upper-right corner (positive source and target conductance) shows the highest values (light orange). * **Specific Values:** * (-10, -10): -9.9 * (10, 10): 9.9 * (-10, 10): 8.4 * (10, -10): -8.4 * (0, 0): -2.7 **Right Heatmap (STD):** The values in the heatmap represent the standard deviation of the conductance. The values are shown for each combination of source and target conductance. * **Trend:** The standard deviation is highest along the diagonal (where source conductance equals target conductance) and decreases as you move away from the diagonal. * **Specific Values:** * (-10, -10): 0.01 * (10, 10): 0.01 * (-10, 9): 1.5 * (9, -10): 1.5 * (0, 0): 0.0009 ### Key Observations * **Mean Conductance:** The mean conductance is strongly correlated with both source and target conductance. * **Standard Deviation:** The standard deviation is minimized when the source and target conductances are equal. ### Interpretation The heatmaps illustrate the relationship between source and target conductance, showing how the mean and standard deviation of conductance vary with different combinations of these parameters. The mean conductance heatmap suggests a direct relationship between source/target conductance and the resulting mean conductance. The standard deviation heatmap indicates that the system is most stable (lowest standard deviation) when the source and target conductances are closely matched. The error associated with the mean is 0.22.

## Heatmaps: Conductance Correlation Analysis ### Overview The image presents two heatmaps side-by-side, visualizing the correlation between source and target conductance. The left heatmap displays the "Mean" correlation with an associated error of 0.22, while the right heatmap shows the "STD" (Standard Deviation) of the correlation. Both heatmaps use a color scale to represent the correlation values, ranging from approximately -7.5 to 7.5 for the Mean and -3.0 to 3.0 for the STD. Both heatmaps share the same x and y axis scales. ### Components/Axes * **X-axis (Both Heatmaps):** "target conductance (µG)", ranging from -10 to 10, with markers at intervals of 1. * **Y-axis (Both Heatmaps):** "source conductance (µG)", ranging from -10 to 10, with markers at intervals of 1. * **Color Scale (Left Heatmap - Mean):** Ranges from dark purple (approximately -7.5) to dark orange (approximately 7.5). * **Color Scale (Right Heatmap - STD):** Ranges from dark blue (approximately -3.0) to dark orange (approximately 3.0). * **Title (Left Heatmap):** "Mean, (Error: 0.22)" * **Title (Right Heatmap):** "STD" ### Detailed Analysis or Content Details **Left Heatmap (Mean):** The heatmap shows a strong diagonal pattern. Values are generally positive along the diagonal and negative off-diagonal. * **Top-Left Corner (-10,-10):** Approximately -6.83 * **Center (0,0):** Approximately 0.0 * **Bottom-Right Corner (10,10):** Approximately 7.75 * **Row -10:** Values range from approximately -6.83 to -1.21, increasing from left to right. * **Row -9:** Values range from approximately -7.9 to 0.0, increasing from left to right. * **Row -8:** Values range from approximately -6.91 to 1.25, increasing from left to right. * **Row -7:** Values range from approximately -5.83 to 2.5, increasing from left to right. * **Row -6:** Values range from approximately -4.65 to 3.75, increasing from left to right. * **Row -5:** Values range from approximately -3.35 to 5.0, increasing from left to right. * **Row -4:** Values range from approximately -1.95 to 6.25, increasing from left to right. * **Row -3:** Values range from approximately -0.46 to 7.5, increasing from left to right. * **Row -2:** Values range from approximately 1.05 to 7.75, increasing from left to right. * **Row -1:** Values range from approximately 2.5 to 7.83, increasing from left to right. * **Row 0:** Values range from approximately 0.0 to 7.5, increasing from left to right. * **Row 1:** Values range from approximately -2.5 to 7.75, increasing from left to right. * **Row 2:** Values range from approximately -5.0 to 7.75, increasing from left to right. * **Row 3:** Values range from approximately -7.5 to 7.5, increasing from left to right. * **Row 4:** Values range from approximately -7.5 to 6.25, increasing from left to right. * **Row 5:** Values range from approximately -7.5 to 5.0, increasing from left to right. * **Row 6:** Values range from approximately -7.5 to 3.75, increasing from left to right. * **Row 7:** Values range from approximately -7.5 to 2.5, increasing from left to right. * **Row 8:** Values range from approximately -7.5 to 1.25, increasing from left to right. * **Row 9:** Values range from approximately -7.5 to 0.0, increasing from left to right. * **Row 10:** Values range from approximately -7.5 to -1.21, increasing from left to right. **Right Heatmap (STD):** The heatmap shows a distinct diamond-shaped pattern with high values concentrated around the diagonal. * **Top-Left Corner (-10,-10):** Approximately 0.008 * **Center (0,0):** Approximately 0.15 * **Bottom-Right Corner (10,10):** Approximately 0.008 * **Row -10:** Values range from approximately 0.008 to 0.115, increasing towards the center. * **Row -9:** Values range from approximately 0.015 to 0.15, increasing towards the center. * **Row -8:** Values range from approximately 0.022 to 0.22, increasing towards the center. * **Row -7:** Values range from approximately 0.03 to 0.22, increasing towards the center. * **Row -6:** Values range from approximately 0.038 to 0.22, increasing towards the center. * **Row -5:** Values range from approximately 0.045 to 0.22, increasing towards the center. * **Row -4:** Values range from approximately 0.052 to 0.22, increasing towards the center. * **Row -3:** Values range from approximately 0.06 to 0.22, increasing towards the center. * **Row -2:** Values range from approximately 0.068 to 0.22, increasing towards the center. * **Row -1:** Values range from approximately 0.075 to 0.22, increasing towards the center. * **Row 0:** Values range from approximately 0.083 to 0.15, increasing towards the center. * **Row 1:** Values range from approximately 0.09 to 0.115, decreasing from the center. * **Row 2:** Values range from approximately 0.098 to 0.068, decreasing from the center. * **Row 3:** Values range from approximately 0.105 to 0.03, decreasing from the center. * **Row 4:** Values range from approximately 0.115 to 0.015, decreasing from the center. * **Row 5:** Values range from approximately 0.12 to 0.008, decreasing from the center. * **Row 6:** Values range from approximately 0.125 to 0.008, decreasing from the center. * **Row 7:** Values range from approximately 0.13 to 0.008, decreasing from the center. * **Row 8:** Values range from approximately 0.135 to 0.008, decreasing from the center. * **Row 9:** Values range from approximately 0.14 to 0.008, decreasing from the center. * **Row 10:** Values range from approximately 0.145 to 0.008, decreasing from the center. ### Key Observations * The Mean heatmap exhibits a strong positive correlation between source and target conductance when they have the same value (diagonal). * The STD heatmap shows the highest variability in correlation around the diagonal, indicating that the relationship between source and target conductance is most variable when they are similar. * The STD heatmap is symmetrical around the diagonal, while the Mean heatmap is anti-symmetrical. * The error associated with the Mean heatmap (0.22) suggests a moderate level of uncertainty in the calculated mean correlations. ### Interpretation The data suggests a strong, but not perfect, relationship between source and target conductance. When the source and target conductance are equal, the correlation is positive and relatively high. However, the standard deviation indicates that this relationship is not always consistent, and there is significant variability in the correlation, particularly when the conductances are similar. The anti-symmetry of the Mean heatmap suggests that when the source and target conductance differ, the correlation tends to be negative. The combination of the Mean and STD heatmaps provides a more complete picture of the relationship between source and target conductance. The Mean heatmap shows the overall trend, while the STD heatmap highlights the variability and uncertainty in that trend. This information could be valuable for understanding the behavior of systems where conductance plays a critical role, such as in electronic devices or biological systems. The error value on the Mean heatmap suggests that the reported correlations should be interpreted with caution, and further investigation may be needed to confirm these findings.

## Heatmap: Mean (Error 0.22) and Standard Deviation (STD) of Conductance Values ### Overview The image contains two side-by-side heatmaps. The left heatmap represents the **mean** of conductance values with an error margin of 0.22 μS, while the right heatmap shows the **standard deviation (STD)** of the same data. Both heatmaps use a color gradient to represent numerical values, with axes labeled in Chinese and English. The data is organized in a grid format, with rows and columns corresponding to "source conductance" and "target conductance" values. --- ### Components/Axes #### Left Heatmap (Mean) - **X-axis (Target Conductance)**: Labeled "target conductance (μS)" with values ranging from -10 to 10 in increments of 1. - **Y-axis (Source Conductance)**: Labeled "source conductance (μS)" with values ranging from -10 to 10 in increments of 1. - **Color Scale**: Dark blue (negative values) to red (positive values), with a legend on the right indicating: - **-7.5**: Dark blue - **-5.0**: Medium blue - **-2.5**: Light blue - **0.0**: White - **2.5**: Light orange - **5.0**: Orange - **7.5**: Red - **Embedded Text**: Numerical values (e.g., "-0.97", "-0.79") are embedded in each cell, representing the mean conductance values. #### Right Heatmap (STD) - **X-axis (Target Conductance)**: Same as the left heatmap, labeled "target conductance (μS)" with values from -10 to 10. - **Y-axis (Source Conductance)**: Same as the left heatmap, labeled "source conductance (μS)" with values from -10 to 10. - **Color Scale**: Dark blue (low STD) to light orange (high STD), with a legend on the right indicating: - **-3.0**: Dark blue - **-1.5**: Medium blue - **0.0**: White - **1.5**: Light orange - **3.0**: Orange - **Embedded Text**: Numerical values (e.g., "-0.01", "-0.01") are embedded in each cell, representing the standard deviation. --- ### Detailed Analysis #### Left Heatmap (Mean) - **Key Values**: - Top-left cell: **-0.97** (dark blue) - Bottom-right cell: **7.5** (red) - Central region: Values cluster around **0.0** (white), with some positive values (e.g., **3.5**, **5.0**) in the upper-right quadrant. - **Trends**: - A gradient from negative (dark blue) to positive (red) values, suggesting a general increase in mean conductance as source and target conductances increase. - The most extreme positive value (**7.5**) is in the bottom-right corner, indicating a strong correlation between high source and target conductances. #### Right Heatmap (STD) - **Key Values**: - Top-left cell: **-0.01** (dark blue) - Bottom-right cell: **3.0** (orange) - Central region: Most values are **0.0** (white), with some variability in the upper-right quadrant (e.g., **1.5**, **2.5**). - **Trends**: - A gradient from low (dark blue) to high (orange) standard deviation, indicating greater variability in conductance measurements at higher source and target conductances. - The most extreme positive value (**3.0**) is in the bottom-right corner, suggesting higher uncertainty in measurements at high conductances. --- ### Key Observations 1. **Correlation Between Source and Target Conductance**: - The left heatmap shows a positive correlation between source and target conductances, with higher values in the upper-right quadrant. - The right heatmap reveals that variability (STD) increases with higher conductances, as seen in the orange regions. 2. **Outliers**: - The left heatmap has a single extreme value (**7.5**) in the bottom-right corner, which may indicate an anomaly or a specific experimental condition. - The right heatmap shows a cluster of high STD values in the upper-right quadrant, suggesting inconsistent measurements at high conductances. 3. **Color Consistency**: - The color gradients in both heatmaps align with their respective legends, confirming accurate representation of numerical values. --- ### Interpretation The data suggests that **mean conductance values increase with higher source and target conductances**, while **standard deviation (variability) also rises** in these regions. This could imply that the system being studied (e.g., a conductance measurement setup) becomes less predictable or more variable at higher conductances. The extreme positive value in the left heatmap (7.5) may indicate a specific experimental condition or a data point requiring further investigation. The consistency of color coding across both heatmaps reinforces the reliability of the data representation. Overall, the heatmaps highlight a relationship between conductance levels and their associated statistical properties, which could be critical for optimizing measurement protocols or understanding system behavior.