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:

0.014 seconds for pdg_app/to_list_operations: list_nodes_of_type, operation 9998783
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 operation6695458
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 scalar6695458
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 vector6695458
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 matrix6695458
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 operation1623666
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 scalar1623666
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 vector1623666
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 matrix1623666
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 operation2907459
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 scalar2907459
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 vector2907459
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 matrix2907459
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 operation9126575
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 scalar9126575
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 vector9126575
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 matrix9126575
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 operation7111202
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 scalar7111202
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 vector7111202
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 matrix7111202
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 operation9595312
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 scalar9595312
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 vector9595312
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 matrix9595312
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 operation2395958
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 scalar2395958
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 vector2395958
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 matrix2395958
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 operation4227321
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 scalar4227321
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 vector4227321
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 matrix4227321
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 operation5743857
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 scalar5743857
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 vector5743857
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 matrix5743857
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 operation2475758
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 scalar2475758
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 vector2475758
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 matrix2475758
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 operation3825503
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 scalar3825503
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 vector3825503
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 matrix3825503
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 operation5358582
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 scalar5358582
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 vector5358582
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 matrix5358582
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 operation5457551
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 scalar5457551
0.013 seconds for compute/get_dict_of_expression_dicts_that_use_symbol_id: get_dict_of_expression_dicts_that_use_symbol_id_by_category vector5457551
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 matrix5457551
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 operation5842374
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 scalar5842374
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 vector5842374
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 matrix5842374
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 operation8553100
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 scalar8553100
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 vector8553100
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 matrix8553100
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 operation7397489
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 scalar7397489
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 vector7397489
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 matrix7397489
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 operation2709805
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 scalar2709805
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 vector2709805
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 matrix2709805
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 operation7594824
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 scalar7594824
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 vector7594824
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 matrix7594824
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 operation8022641
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 scalar8022641
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 vector8022641
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 matrix8022641
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 operation6388403
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 scalar6388403
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 vector6388403
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 matrix6388403
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 operation3516843
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 scalar3516843
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 vector3516843
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 matrix3516843
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 operation7297759
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 scalar7297759
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 vector7297759
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 matrix7297759
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 operation7240296
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 scalar7240296
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 vector7240296
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 matrix7240296
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 operation2923720
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 scalar2923720
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 vector2923720
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 matrix2923720
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 operation2768047
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 scalar2768047
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 vector2768047
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 matrix2768047
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 operation6004225
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 scalar6004225
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 vector6004225
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 matrix6004225
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 operation9385251
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 scalar9385251
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 vector9385251
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 matrix9385251
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 operation1673483
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 scalar1673483
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 vector1673483
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 matrix1673483
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 operation5711394
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 scalar5711394
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 vector5711394
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 matrix5711394
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 operation2327801
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 scalar2327801
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 vector2327801
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 matrix2327801
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 operation2938309
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 scalar2938309
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 vector2938309
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 matrix2938309
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 operation6846758
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 scalar6846758
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 vector6846758
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 matrix6846758
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