## Heatmap: Mean and Standard Deviation of Conductance ### Overview The image presents two heatmaps side-by-side. The left heatmap displays the mean conductance with an error of 2.90, while the right heatmap shows the standard deviation (STD) of conductance. Both heatmaps have the same axes: "source conductance (µG)" on the vertical axis and "target conductance (µG)" on the horizontal axis, both ranging from -10 to 10. The color intensity in each heatmap represents the magnitude of the mean or standard deviation value. ### Components/Axes **Left Heatmap (Mean):** * **Title:** Mean, (Error: 2.90) * **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 Scale:** Ranges from approximately -7.5 (dark purple) to 10 (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 Scale:** Ranges from approximately 0.0 (dark purple) to 3.5 (light orange). ### Detailed Analysis **Left Heatmap (Mean):** The heatmap shows the mean conductance values for different combinations of source and target conductance. * **Trend:** The values generally increase as both source and target conductance increase. The lower-left corner (negative source and target conductance) has the lowest values (dark purple), while the upper-right corner (positive source and target conductance) has the highest values (light orange). * **Specific Values:** * (-10, -10): -8.9 * (10, 10): 7.9 * (-10, 10): -0.31 * (10, -10): -2.6 **Right Heatmap (STD):** The heatmap shows the standard deviation of conductance values for different combinations of source and target conductance. * **Trend:** The highest standard deviation values are concentrated along the diagonal, where source and target conductance are equal. The values decrease 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): 0.000099 * (1, 1): 0.01 * (2, 2): 0.01 * (3, 3): 0.01 * (4, 4): 0.01 * (5, 5): 0.01 * (6, 6): 0.01 * (7, 7): 0.01 * (8, 8): 0.01 * (9, 9): 0.01 * (10, 10): 0.01 ### Key Observations * The mean conductance values are strongly influenced by both source and target conductance, with higher values observed when both are positive. * The standard deviation is highest when the source and target conductances are equal, indicating greater variability in these conditions. ### Interpretation The heatmaps provide insights into the relationship between source and target conductance. The mean heatmap suggests a direct correlation between the two, where increasing either leads to a higher average conductance. The STD heatmap highlights the variability in conductance, which is most pronounced when source and target conductances are matched. This could indicate that the system is more sensitive or unstable under these conditions. The error value of 2.90 associated with the mean suggests that the mean values should be interpreted with caution, as there is a significant level of uncertainty. The very low STD values along the diagonal suggest a high degree of precision when the target and source conductances are equal.

\n ## Heatmaps: Mean and Standard Deviation of Conductance ### Overview The image presents two heatmaps side-by-side. The left heatmap displays the mean values, while the right heatmap displays the standard deviation (STD). Both heatmaps represent a two-dimensional relationship between "source conductance" and "target conductance", both measured in μG (micro-Siemens). The color intensity in each heatmap corresponds to the magnitude of the mean or standard deviation value. ### Components/Axes Both heatmaps share the same structure: * **X-axis:** "target conductance (μG)" ranging from -10 to 10, with increments of 1. * **Y-axis:** "source conductance (μG)" ranging from -10 to 10, with increments of 1. * **Color Scale (Left Heatmap):** Represents the "Mean, (Error=2.90)". The scale ranges from approximately -5.5 to 7.5. Colors transition from dark purple (low values) through red (intermediate values) to yellow (high values). * **Color Scale (Right Heatmap):** Represents "STD". The scale ranges from approximately 0 to 35. Colors transition from light yellow (low values) through red (intermediate values) to dark purple (high values). * **Data Points:** Each cell in the grid represents a specific combination of source and target conductance, with the cell's color indicating the corresponding mean or standard deviation value. ### Detailed Analysis or Content Details **Left Heatmap (Mean):** The heatmap shows a generally diagonal pattern. Values are more negative when both source and target conductance are negative, and more positive when both are positive. * **Top-Left Corner (-10,-10):** Approximately -5.45 * **Center (0,0):** Approximately 0.05 * **Bottom-Right Corner (10,10):** Approximately 7.45 * **Along the diagonal (e.g., -5,-5):** Approximately -2.5 * **Along the diagonal (e.g., 5,5):** Approximately 2.5 * **Row 1 (Source Conductance = -10):** Values range from -5.45 to -1.35, increasing from left to right. * **Row 10 (Source Conductance = 10):** Values range from 1.35 to 7.45, increasing from left to right. * **Column 1 (Target Conductance = -10):** Values range from -5.45 to 1.35, increasing from top to bottom. * **Column 10 (Target Conductance = 10):** Values range from -1.35 to 7.45, increasing from top to bottom. **Right Heatmap (Standard Deviation):** The heatmap shows a strong diagonal pattern, with higher standard deviations along the diagonal and lower standard deviations near the corners. * **Top-Left Corner (-10,-10):** Approximately 32.5 * **Center (0,0):** Approximately 10.1 * **Bottom-Right Corner (10,10):** Approximately 35 * **Along the diagonal (e.g., -5,-5):** Approximately 22.5 * **Along the diagonal (e.g., 5,5):** Approximately 25 * **Row 1 (Source Conductance = -10):** Values range from 32.5 to 12.5, decreasing from left to right. * **Row 10 (Source Conductance = 10):** Values range from 12.5 to 35, decreasing from left to right. * **Column 1 (Target Conductance = -10):** Values range from 32.5 to 12.5, decreasing from top to bottom. * **Column 10 (Target Conductance = 10):** Values range from 12.5 to 35, decreasing from top to bottom. ### Key Observations * The mean values are generally symmetric around the origin (0,0). * The standard deviation is highest when source and target conductances are similar in magnitude (along the diagonal). * The standard deviation is lowest when either source or target conductance is close to zero. * The error associated with the mean is 2.90, suggesting a consistent level of uncertainty across the data. ### Interpretation The data suggests a linear relationship between source and target conductance, as evidenced by the diagonal pattern in the mean heatmap. The positive slope indicates that as both source and target conductance increase, the mean value also increases. The high standard deviation along the diagonal suggests that there is significant variability in the data when source and target conductances are similar. This could be due to noise in the measurements or inherent variability in the system being studied. The lower standard deviation near the corners indicates that the data is more consistent when either source or target conductance is close to zero. The error value of 2.90 provides a measure of the uncertainty in the mean values. This information is important for assessing the reliability of the results and for making informed decisions based on the data. The combination of mean and standard deviation heatmaps provides a comprehensive picture of the relationship between source and target conductance, allowing for a more nuanced understanding of the underlying system. The data suggests that the relationship is strongest and most predictable when one of the conductances is near zero, and becomes more variable as both conductances increase.

## Heatmaps: Mean (Error: 2.90) and Standard Deviation (STD) of Conductance Relationships ### Overview The image contains two side-by-side heatmaps comparing the relationship between source conductance (y-axis) and target conductance (x-axis). The left heatmap shows mean values with an error margin of ±2.90 µS, while the right heatmap displays standard deviation (STD) values. Both use a color gradient from dark blue (low values) to red (high values), with numerical annotations in each cell. ### Components/Axes **Left Heatmap (Mean):** - **X-axis (Target Conductance):** Labeled "target conductance (µS)" with values ranging from -10 to 10 in increments of 2 µS. - **Y-axis (Source Conductance):** Labeled "source conductance (µS)" with values from -50 to 55 in increments of 5 µS. - **Color Scale:** Ranges from -5.0 (dark blue) to 7.5 (red), labeled "Mean (Error: 2.90)". - **Legend:** Positioned on the right, with a vertical gradient from dark blue to red. **Right Heatmap (STD):** - **X-axis (Target Conductance):** Same labels and range as the left heatmap. - **Y-axis (Source Conductance):** Same labels and range as the left heatmap. - **Color Scale:** Ranges from -3.5 (dark blue) to 3.5 (red), labeled "STD". - **Legend:** Positioned on the right, with a vertical gradient from dark blue to red. ### Detailed Analysis **Left Heatmap (Mean):** - **Top-Left Cell (-10, -50):** -10.95 µS (dark blue). - **Bottom-Right Cell (10, 55):** 7.50 µS (red). - **Key Values:** - -10.95, -9.79, -8.79, ..., 7.50 (scientific notation values in parentheses). - Notable outliers: -15.00 µS (bottom-left quadrant) and 7.50 µS (bottom-right). **Right Heatmap (STD):** - **Top-Left Cell (-10, -50):** -3.50 µS (dark blue). - **Bottom-Right Cell (10, 55):** 3.50 µS (red). - **Key Values:** - -3.50, -3.33, -3.11, ..., 3.50 (scientific notation values in parentheses). - Notable outliers: -3.50 µS (top-left) and 3.50 µS (bottom-right). ### Key Observations 1. **Mean Heatmap Trends:** - Gradual increase in mean values from left (negative) to right (positive) across the x-axis. - Steeper gradient in the bottom-right quadrant (source conductance > 25 µS). - Largest negative values (-15.00 µS) in the top-left quadrant (source conductance < -25 µS). 2. **STD Heatmap Trends:** - Symmetrical distribution around the center (0 µS target conductance). - Lowest variability (dark blue cells) in the top-left quadrant (-10 to 0 µS target conductance). - Highest variability (red cells) in the bottom-right quadrant (target conductance > 25 µS). 3. **Color Consistency:** - Dark blue cells in both heatmaps correspond to negative values (below -3.5 µS for STD, -5.0 µS for Mean). - Red cells indicate positive values (above 3.5 µS for STD, 7.5 µS for Mean). ### Interpretation The data suggests a **non-linear relationship** between source and target conductance: - **Mean Error:** Higher source conductance correlates with larger positive errors, particularly in regions where target conductance exceeds 25 µS. This may indicate systematic bias in measurement accuracy at higher conductance levels. - **Standard Deviation:** Lower variability in the top-left quadrant (source conductance < -25 µS) suggests more consistent measurements in low-conductance environments. The bottom-right quadrant shows higher variability, potentially due to measurement instability or environmental factors at high conductance levels. - **Anomalies:** The -15.00 µS outlier in the Mean heatmap (bottom-left) and -3.50 µS in the STD heatmap (top-left) may represent edge cases or calibration thresholds. These patterns highlight the importance of calibrating measurement systems for high-conductance environments and suggest that error margins are more predictable in low-conductance regimes.