diff --git a/calibration/volumetric-speed-calib.md b/calibration/volumetric-speed-calib.md index e8a61cc..f54808a 100644 --- a/calibration/volumetric-speed-calib.md +++ b/calibration/volumetric-speed-calib.md @@ -26,9 +26,9 @@ Use calipers or a ruler to measure the **height** of the model just before the d - Use the following formula - ```math + $$ Filament Max Volumetric Speed = start + (HeightMeasured * step) - ``` + $$ In this case (19mm), so the calculation would be: `5 + (19 * 0.5) = 14.5mm³/s` diff --git a/print_settings/quality/quality_settings_wall_generator.md b/print_settings/quality/quality_settings_wall_generator.md index 996e06c..6f6ae27 100644 --- a/print_settings/quality/quality_settings_wall_generator.md +++ b/print_settings/quality/quality_settings_wall_generator.md @@ -37,9 +37,9 @@ Defines the minimum angle (in degrees) required for the algorithm to create a tr Prevents rapid switching between more or fewer walls by defining a tolerance range around the minimum wall width. The extrusion width will stay within the range: -```math +$$ \left[ \text{Minimum Wall Width} - \text{Margin},\ 2 \times \text{Minimum Wall Width} + \text{Margin} \right] -``` +$$ Higher values reduce transitions, travel moves, and extrusion starts/stops, but may increase extrusion variability and introduce print quality issues. Expressed as a percentage of nozzle diameter. diff --git a/print_settings/speed/speed_settings_advanced.md b/print_settings/speed/speed_settings_advanced.md index 49c7bc6..1e36e74 100644 --- a/print_settings/speed/speed_settings_advanced.md +++ b/print_settings/speed/speed_settings_advanced.md @@ -51,9 +51,9 @@ When a speed change is requested, the firmware look-ahead planner calculates the This deceleration move would happen over approximately 9.6mm. This is derived from the following equation: -```math +$$ d = \frac{v_f^2 - v_i^2}{2a} -``` +$$ Where: @@ -64,9 +64,9 @@ Where: The time taken to decelerate to this new speed would be approx. 0.08 seconds, derived from the following equation: -```math +$$ t = \frac{v_f - v_i}{a} -``` +$$ A printer printing at 200mm/sec with a 0.42 line width and 0.16 layer height would be extruding plastic at approx. 12.16mm³/sec, as can also be seen from the below visual. diff --git a/print_settings/speed/speed_settings_jerk_xy.md b/print_settings/speed/speed_settings_jerk_xy.md index ba0f13a..c44ea69 100644 --- a/print_settings/speed/speed_settings_jerk_xy.md +++ b/print_settings/speed/speed_settings_jerk_xy.md @@ -80,9 +80,9 @@ Higher values result in more aggressive cornering speeds, while lower values pro This value will **only be overwritten** if it is lower than the Junction Deviation value set in Printer settings > Motion ability. If it is higher, the value configured in Motion ability will be used. -```math +$$ JD = 0,4 \cdot \frac{\text{Jerk}^2}{\text{Accel.}} -``` +$$ ## Useful links diff --git a/print_settings/speed/speed_settings_other_layers_speed.md b/print_settings/speed/speed_settings_other_layers_speed.md index 7507c6c..f142990 100644 --- a/print_settings/speed/speed_settings_other_layers_speed.md +++ b/print_settings/speed/speed_settings_other_layers_speed.md @@ -47,9 +47,9 @@ If expressed as percentage (for example: 80%) it will be calculated on the [oute **Radius** in millimeters below which the speed of perimeters will be reduced to the [small perimeters speed](#small-perimeters). To know the length of the perimeter, you can use the formula: -```math +$$ \frac{\text{Perimeter Length}}{2\pi} \leq \text{Threshold} -``` +$$ For example, if the threshold is set to 5 mm, then the perimeter length must be less than or equal to 31.4 mm (2 * π * 5 mm) to be considered a small perimeter. diff --git a/printer_settings/basic information/printer_basic_information_advanced.md b/printer_settings/basic information/printer_basic_information_advanced.md index 24fca56..c003b8d 100644 --- a/printer_settings/basic information/printer_basic_information_advanced.md +++ b/printer_settings/basic information/printer_basic_information_advanced.md @@ -37,9 +37,9 @@ Shape, material and density of an individual pellet will determine the packing d We are translating the pellet_flow_coefficient into filament_diameter so that everything works just like it does already with very minor adjustments. -```math +$$ \text{filament\_diameter} = \sqrt{\frac{4 \times \text{pellet\_flow\_coefficient}}{\pi}} -``` +$$ sqrt just makes the relationship between flow_coefficient and volume linear.