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pi
stringlengths
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stringlengths
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int64
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int64
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int64
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int64
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float64
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float64
-104.8
10
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bool
2 classes
exponents
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177
6
avogadro,illuminance,light_speed,lum_intensity,molar_energy,planck
E_m·I_v·E_v·c₀·h·N_A
chemistry,constants,photometry
E_m²·I_v·E_v⁻¹·c₀⁻²·h⁻²·N_A⁻²
I_v = k₀ · E_m⁻²·E_v·c₀²·h²·N_A²
null
3
3
2
10
10.5
-4.5
false
{"molar_energy": "2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "-2", "planck": "-2", "avogadro": "-2"}
6
avogadro,grav_const,illuminance,lum_intensity,molar_energy,planck
E_m·I_v·E_v·G·h·N_A
chemistry,constants,photometry
E_m⁶·I_v⁵·E_v⁻⁵·G⁻²·h⁻⁸·N_A⁻⁶
G = k₀ · E_m³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻⁴·N_A⁻³
null
3
3
8
32
28.9
-22.9
false
{"molar_energy": "6", "lum_intensity": "5", "illuminance": "-5", "grav_const": "-2", "planck": "-8", "avogadro": "-6"}
6
avogadro,grav_const,light_speed,lum_intensity,luminance,molar_energy
E_m·I_v·L_v·c₀·G·N_A
chemistry,constants,photometry
E_m²·I_v⁻¹·L_v·c₀⁻⁸·G²·N_A⁻²
I_v = k₀ · E_m²·L_v·c₀⁻⁸·G²·N_A⁻²
null
3
3
8
16
17.7
-11.7
false
{"molar_energy": "2", "lum_intensity": "-1", "luminance": "1", "light_speed": "-8", "grav_const": "2", "avogadro": "-2"}
6
avogadro,light_speed,lum_intensity,luminance,molar_energy,planck
E_m·I_v·L_v·c₀·h·N_A
chemistry,constants,photometry
E_m²·I_v·L_v⁻¹·c₀⁻²·h⁻²·N_A⁻²
I_v = k₀ · E_m⁻²·L_v·c₀²·h²·N_A²
null
3
3
2
10
10.5
-4.5
false
{"molar_energy": "2", "lum_intensity": "1", "luminance": "-1", "light_speed": "-2", "planck": "-2", "avogadro": "-2"}
6
avogadro,grav_const,lum_intensity,luminance,molar_energy,planck
E_m·I_v·L_v·G·h·N_A
chemistry,constants,photometry
E_m⁶·I_v⁵·L_v⁻⁵·G⁻²·h⁻⁸·N_A⁻⁶
G = k₀ · E_m³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻⁴·N_A⁻³
null
3
3
8
32
28.9
-22.9
false
{"molar_energy": "6", "lum_intensity": "5", "luminance": "-5", "grav_const": "-2", "planck": "-8", "avogadro": "-6"}
5
avogadro,grav_const,light_speed,molar_energy,planck
E_m·c₀·G·h·N_A
chemistry,constants
E_m²·c₀⁻⁵·G·h⁻¹·N_A⁻²
G = k₀ · E_m⁻²·c₀⁵·h·N_A²
null
4
2
5
11
12.8
-7.8
false
{"molar_energy": "2", "light_speed": "-5", "grav_const": "1", "planck": "-1", "avogadro": "-2"}
6
boltzmann,cat_activity,gas_constant,illuminance,light_speed,lum_intensity
R·z·I_v·E_v·c₀·k_B
chemistry,constants,photometry
R²·z²·I_v·E_v⁻¹·c₀⁻²·k_B⁻²
I_v = k₀ · R⁻²·z⁻²·E_v·c₀²·k_B²
null
2
3
2
10
9.5
-2
false
{"gas_constant": "2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "-2", "boltzmann": "-2"}
7
boltzmann,cat_activity,gas_constant,grav_const,illuminance,lum_intensity,planck
R·z·I_v·E_v·G·h·k_B
chemistry,constants,photometry
R⁶·z⁶·I_v⁵·E_v⁻⁵·G⁻²·h⁻²·k_B⁻⁶
G = k₀ · R³·z³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻¹·k_B⁻³
null
3
3
6
32
28.2
-22.2
false
{"gas_constant": "6", "cat_activity": "6", "lum_intensity": "5", "illuminance": "-5", "grav_const": "-2", "planck": "-2", "boltzmann": "-6"}
6
boltzmann,cat_activity,gas_constant,light_speed,lum_intensity,luminance
R·z·I_v·L_v·c₀·k_B
chemistry,constants,photometry
R²·z²·I_v·L_v⁻¹·c₀⁻²·k_B⁻²
I_v = k₀ · R⁻²·z⁻²·L_v·c₀²·k_B²
null
2
3
2
10
9.5
-2
false
{"gas_constant": "2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "light_speed": "-2", "boltzmann": "-2"}
7
boltzmann,cat_activity,gas_constant,grav_const,lum_intensity,luminance,planck
R·z·I_v·L_v·G·h·k_B
chemistry,constants,photometry
R⁶·z⁶·I_v⁵·L_v⁻⁵·G⁻²·h⁻²·k_B⁻⁶
G = k₀ · R³·z³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻¹·k_B⁻³
null
3
3
6
32
28.2
-22.2
false
{"gas_constant": "6", "cat_activity": "6", "lum_intensity": "5", "luminance": "-5", "grav_const": "-2", "planck": "-2", "boltzmann": "-6"}
6
boltzmann,cat_activity,gas_constant,grav_const,light_speed,planck
R·z·c₀·G·h·k_B
chemistry,constants
R²·z²·c₀⁻⁵·G·h·k_B⁻²
G = k₀ · R⁻²·z⁻²·c₀⁵·h⁻¹·k_B²
null
4
2
5
13
14.5
-9.5
false
{"gas_constant": "2", "cat_activity": "2", "light_speed": "-5", "grav_const": "1", "planck": "1", "boltzmann": "-2"}
3
avogadro,boltzmann,gas_constant
R·k_B·N_A
chemistry,constants
R·k_B⁻¹·N_A⁻¹
R = k₀ · k_B·N_A
null
2
2
1
3
2.6
5.4
false
{"gas_constant": "1", "boltzmann": "-1", "avogadro": "-1"}
5
avogadro,cat_activity,illuminance,light_speed,lum_intensity
z·I_v·E_v·c₀·N_A
chemistry,constants,photometry
z²·I_v·E_v⁻¹·c₀⁻²·N_A²
I_v = k₀ · z⁻²·E_v·c₀²·N_A⁻²
null
2
3
2
8
7.8
-0.3
false
{"cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "-2", "avogadro": "2"}
6
avogadro,cat_activity,grav_const,illuminance,lum_intensity,planck
z·I_v·E_v·G·h·N_A
chemistry,constants,photometry
z⁶·I_v⁵·E_v⁻⁵·G⁻²·h⁻²·N_A⁶
G = k₀ · z³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻¹·N_A³
null
3
3
6
26
23.7
-17.7
false
{"cat_activity": "6", "lum_intensity": "5", "illuminance": "-5", "grav_const": "-2", "planck": "-2", "avogadro": "6"}
5
avogadro,cat_activity,light_speed,lum_intensity,luminance
z·I_v·L_v·c₀·N_A
chemistry,constants,photometry
z²·I_v·L_v⁻¹·c₀⁻²·N_A²
I_v = k₀ · z⁻²·L_v·c₀²·N_A⁻²
null
2
3
2
8
7.8
-0.3
false
{"cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "light_speed": "-2", "avogadro": "2"}
6
avogadro,cat_activity,grav_const,lum_intensity,luminance,planck
z·I_v·L_v·G·h·N_A
chemistry,constants,photometry
z⁶·I_v⁵·L_v⁻⁵·G⁻²·h⁻²·N_A⁶
G = k₀ · z³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻¹·N_A³
null
3
3
6
26
23.7
-17.7
false
{"cat_activity": "6", "lum_intensity": "5", "luminance": "-5", "grav_const": "-2", "planck": "-2", "avogadro": "6"}
5
avogadro,cat_activity,grav_const,light_speed,planck
z·c₀·G·h·N_A
chemistry,constants
z²·c₀⁻⁵·G·h·N_A²
G = k₀ · z⁻²·c₀⁵·h⁻¹·N_A⁻²
null
4
2
5
11
12.8
-7.8
false
{"cat_activity": "2", "light_speed": "-5", "grav_const": "1", "planck": "1", "avogadro": "2"}
5
grav_const,illuminance,light_speed,lum_intensity,planck
I_v·E_v·c₀·G·h
constants,photometry
I_v·E_v⁻¹·c₀³·G⁻¹·h⁻¹
I_v = k₀ · E_v·c₀⁻³·G·h
null
3
2
3
7
8
-1.5
false
{"lum_intensity": "1", "illuminance": "-1", "light_speed": "3", "grav_const": "-1", "planck": "-1"}
5
grav_const,light_speed,lum_intensity,luminance,planck
I_v·L_v·c₀·G·h
constants,photometry
I_v·L_v⁻¹·c₀³·G⁻¹·h⁻¹
I_v = k₀ · L_v·c₀⁻³·G·h
null
3
2
3
7
8
-1.5
false
{"lum_intensity": "1", "luminance": "-1", "light_speed": "3", "grav_const": "-1", "planck": "-1"}
2
illuminance,luminance
E_v·L_v
photometry
E_v·L_v⁻¹
E_v = k₀ · L_v
null
0
1
1
2
0
10
true
{"illuminance": "1", "luminance": "-1"}