Welcome to the Physics Derivation Graph

List of Operations

Case-insensitive dynamic search of latex as plain text: XOR

The operation ID links to a page where you can edit the operation

ID	latex	name	argument count	description	reference
2222764	\(+\) +	addition	2
2222940	\(\cos\) \cos	cosine	1
2222278	\(\times\) \\times	cross product	2
2222896	\(\vec{\nabla} \times\) \vec{\\nabla} \\times	curl	1
2222280	\(\int\) \int	definite integral	4
2222591	\(\vec{\nabla} \cdot\) \vec{\\nabla} \cdot	divergence	1
2222891	\(/\) /	division	2
2222455	\(\circ\) \circ	dot product	2
2222435	\(+\) +	element-wise addition	2
2222329	\(f\) f	function	1
2222105	\(\vec{\nabla}\) \vec{\\nabla}	gradient	1
2222657	\(\int\) \int	indefinite intergral	2
2222829	\(\)	multiplication	2
2222144	\(\sin\) \sin	sine	1
2222439	\(\vec{\nabla}\) \vec{\\nabla}	spatial vector differential	2
2222427	\(-\) -	subtraction	2
2222348	\(\sum\) \sum	summation	4
1094924	\(\cdot\) \cdot	multiplication	2	multiply two terms
2532789	\(\tan\) \tan	tangent	1		https://en.wikipedia.org/wiki/Trigonometric_functions
6521282	\(\ln\) \ln	natural logarithm	1
9993766	\(\min\) \min	minimum	1
4958131	\(\max\) \max	maximum	1
7843744	\(\sqrt{}\) \sqrt{}	square root	1		https://en.wikipedia.org/wiki/Square_root
1299288	\(\det\) \det	determinant	1		https://en.wikipedia.org/wiki/Determinant
2841881	\(\sinh\) \sinh	hyperbolic sine	1		https://en.wikipedia.org/wiki/Hyperbolic_function
5818852	\(\cosh\) \cosh	hyperbolic cosine	1		https://en.wikipedia.org/wiki/Hyperbolic_function
4352752	\(\tanh\) \tanh	hyperbolic tangent	1		https://en.wikipedia.org/wiki/Hyperbolic_function
2090103	\(\coth\) \coth	hyperbolic cotangent	1		https://en.wikipedia.org/wiki/Hyperbolic_function
5560743	\(\arcsin\) \arcsin	arc sine	1		https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
6151818	\(\arccos\) \arccos	arc cosine	1		https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
1130211	\(\arctan\) \arctan	arc tangent	1		https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
3382639	\(\cot\) \cot	cotangent	1		https://en.wikipedia.org/wiki/Trigonometric_functions
6739965	\(\sec\) \sec	secant	1		https://en.wikipedia.org/wiki/Trigonometric_functions
9780858	\(\csc\) \csc	cosecant	1		https://en.wikipedia.org/wiki/Trigonometric_functions
4426238	\(\div\) \div	divide	2	division
2495151	\(!\) !	factorial	1		https://en.wikipedia.org/wiki/Factorial
8940007	\(\oint\) \oint	indefinite surface integral	2
3403771	\(\log\) \log	log, arbitrary base	2	default base 10
8632687	\(\exp\) \exp	exponential function	1		https://en.wikipedia.org/wiki/Exponential_function
3530844	\(\mod{}\) \mod{}	modulo	2

Actions for operations:

add new operation

timing of Neo4j queries:

0.023 seconds for pdg_app/to_list_operations: list_nodes_of_type, operation3480875
0.012 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1202341
0.011 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1202341
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector1202341
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix1202341
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8786651
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8786651
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8786651
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8786651
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8791763
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8791763
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8791763
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8791763
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8259010
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8259010
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8259010
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8259010
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9297304
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9297304
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9297304
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9297304
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation4184073
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4184073
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector4184073
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix4184073
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3479830
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3479830
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3479830
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3479830
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation7569064
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar7569064
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector7569064
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix7569064
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2213065
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2213065
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2213065
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2213065
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation4103297
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4103297
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector4103297
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix4103297
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation4712777
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4712777
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector4712777
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix4712777
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation4108264
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4108264
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector4108264
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix4108264
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1537353
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1537353
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector1537353
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix1537353
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5941154
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5941154
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5941154
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5941154
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8016730
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8016730
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8016730
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8016730
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8894376
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8894376
0.014 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8894376
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8894376
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9154663
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9154663
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9154663
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9154663
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2935757
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2935757
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2935757
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2935757
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation4748518
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4748518
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector4748518
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix4748518
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9524108
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9524108
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9524108
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9524108
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation1459130
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar1459130
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector1459130
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix1459130
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation6587382
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar6587382
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector6587382
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix6587382
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation2306132
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar2306132
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector2306132
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix2306132
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation6467045
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar6467045
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector6467045
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix6467045
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation4931083
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar4931083
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector4931083
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix4931083
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9615787
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9615787
0.011 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9615787
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9615787
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5202502
0.011 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5202502
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5202502
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5202502
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation9290981
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar9290981
0.01 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector9290981
0.009 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix9290981
0.008 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3633695
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3633695
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3633695
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3633695
0.007 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation8333829
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar8333829
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector8333829
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix8333829
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation5230399
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar5230399
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5230399
0.006 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix5230399
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category operation3924326
0.004 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category scalar3924326
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector3924326
0.005 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category matrix3924326
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