Wikipedia:Reference desk/Archives/Mathematics/January 2010: Difference between revisions

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{| align=center width=95% style="background: #FFFFFF; border: 1px solid #003EBA;" cellpadding="8" cellspacing="0"
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! style="background: #5D7CBA; text-align: center;" align="center" | <font face="-family:Arial"; color=":#FFFFFF;"> | '''Welcome to the Wikipedia Mathematics Reference Desk Archives'''</font>
|-
| The page you are currently viewing is a monthly archive index. While you can leave answers for any questions shown below, please ask new questions on one of the [[Wikipedia:Reference desk|current reference desk]] pages.
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# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 2#Proof_of_continuity|Proof of continuity]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 2#What.27s_a_mathematical_coincidence.3F|What's a mathematical coincidence?]]
 
= January 3 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 3]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 3#Generalized_Heat_Equation|Generalized Heat Equation]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 3#Diffusion_Equation|Diffusion Equation]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 3#Formal_sums_for_quotients_of_primorials|Formal sums for quotients of primorials]]
 
= January 4 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4#conversions|conversions]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4#Cantor.27s_Ordinal_Numbers|Cantor's Ordinal Numbers]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4#Term_by_Term_Integration_of_a_Fourier_Series|Term by Term Integration of a Fourier Series]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4#Sums_of_squares|Sums of squares]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4#Rates_of_decline|Rates of decline]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 4#jection|jection]]
 
= January 5 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 5]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 5#Convergence|Convergence]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 5#Question_on_combinations|Question on combinations]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 5#Möbius_Maps|Möbius Maps]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 5#NP_and_NPC|NP and NPC]]
 
= January 6 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#Predicting_number_of_items_in_a_set_.28statistics.29|Predicting number of items in a set (statistics)]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#division_by_zero|division by zero]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#Quotients_and_products_of_topological_spaces.|Quotients and products of topological spaces.]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#Limits|Limits]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#Extension_fields|Extension fields]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#How_to_solve_for_B|How to solve for B]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 6#Logarithms_and_order_of_operations|Logarithms and order of operations]]
 
= January 7 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 7]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 7#TI_84_plus_calculator_program|TI 84 plus calculator program]]
 
= January 8 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 8]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 8#Simple_Mathematics.2C_Requiring_Data|Simple Mathematics, Requiring Data]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 8#Differentiable.3F|Differentiable?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 8#Number_of_partitions_of_a_set_in_classes_of_given_cardinalities.|Number of partitions of a set in classes of given cardinalities.]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 8#Letter_grid_problem|Letter grid problem]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 8#Limits|Limits]]
 
= January 9 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 9]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 9#Arrow.27s_impossibility_theorem_and_real_elections|Arrow's impossibility theorem and real elections]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 9#1001_.28number.29|1001 (number)]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 9#Pairwise_coprime_integers|Pairwise coprime integers]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 9#calculating_pi|calculating pi]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 9#Standard_deviation_of_4_numbers|Standard deviation of 4 numbers]]
 
= January 10 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 10]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 10#Sum|Sum]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 10#Harmonic_series|Harmonic series]]
 
= January 11 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 11]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 11#Perimeter_of_a_trapezium|Perimeter of a trapezium]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 11#Smoothness_Scale_In_Number_Theory|Smoothness Scale In Number Theory]]
 
= January 12 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 12]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 12#Normal_Closures_Qual._Exam|Normal Closures Qual. Exam]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 12#solution_of_differential_equation_of_motion_of_a_quarter_car|solution of differential equation of motion of a quarter car]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 12#Locally_invertible_function_from_R.5E2_to_R|Locally invertible function from R^2 to R]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 12#Estimating_number_ratios|Estimating number ratios]]
 
= January 13 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 13]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 13#Cube_root_function_on_the_space_Mn_of_matrices|Cube root function on the space Mn of matrices]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 13#finding_the_centre_of_a_circle|finding the centre of a circle]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 13#Nilpotent_homomorphisms|Nilpotent homomorphisms]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 13#35_degrees_east|35 degrees east]]
 
= January 14 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 14]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 14#An_elementary_homotopy_equivalence|An elementary homotopy equivalence]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 14#Consecutive_integers_with_same_sum_of_proper_divisors|Consecutive integers with same sum of proper divisors]]
 
= January 15 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 15]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 15#Is_there_a_name_for_this_property_of_sets.3F|Is there a name for this property of sets?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 15#Is_a_set_that_contains_only_itself_hereditary.3F|Is a set that contains only itself hereditary?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 15#Continuity_of_power_functions|Continuity of power functions]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 15#Infinite_ordinals|Infinite ordinals]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 15#Properties_of_certain_symmetric_matricies.3F|Properties of certain symmetric matricies?]]
 
= January 17 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 17]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 17#Archimidean_Spiral_Segment|Archimidean Spiral Segment]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 17#Identity_Matrix_Multiplication|Identity Matrix Multiplication]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 17#Weird_summation_notation|Weird summation notation]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 17#Certain_repeating_digits|Certain repeating digits]]
 
= January 18 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 18]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 18#Asians|Asians]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 18#differential|differential]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 18#What_does_this_symbol.2Fsuffix_mean.3F|What does this symbol/suffix mean?]]
 
= January 19 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 19]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 19#Policy_recommendation_for_comparing_citation_totals_or_h-index_for_any_mathematician|Policy recommendation for comparing citation totals or h-index for any mathematician]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 19#Variation_on_equals_sign|Variation on equals sign]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 19#P.G.F._question|P.G.F. question]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 19#3_rotations_about_the_vertices_of_a_triangle:_identity_map|3 rotations about the vertices of a triangle: identity map]]
 
= January 20 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 20]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 20#Eigenvalues_and_eigenvectors|Eigenvalues and eigenvectors]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 20#Riemann_integral|Riemann integral]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 20#A_few_more_geometry_problems.21|A few more geometry problems!]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 20#Geometry_question|Geometry question]]
 
= January 21 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 21]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 21#Riemannian_geometry|Riemannian geometry]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 21#Fractional_chromatic_number|Fractional chromatic number]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 21#Expected_value_problem|Expected value problem]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 21#can_you_explain_turbo_codes_OR_LDPC.3F|can you explain turbo codes OR LDPC?]]
 
= January 22 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 22]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 22#Weaker_versions_of_Fermat.27s_Last_Theorem|Weaker versions of Fermat's Last Theorem]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 22#Bounds|Bounds]]
 
= January 23 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 23]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 23#Finding_a_surface_on_which_integrals_of_multiple_functions_are_0|Finding a surface on which integrals of multiple functions are 0]]
 
= January 24 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 24]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 24#Query_on_an_online_document_-_subgroups_of_A5|Query on an online document - subgroups of A5]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 24#College_question:_What_material_do_I_need_to_have_a_firm_grasp_on.3F|College question: What material do I need to have a firm grasp on?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 24#Factoring_Polynomials|Factoring Polynomials]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 24#Complex_icosidodecahedrons|Complex icosidodecahedrons]]
 
= January 25 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 25]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 25#Cryptography|Cryptography]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 25#Differential_equation|Differential equation]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 25#Topological_Group_Question|Topological Group Question]]
 
= January 26 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 26]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 26#Inverse_Trigonometric_Identity_Prove|Inverse Trigonometric Identity Prove]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 26#Cross_ratio_equal_to_1.2F2tan.5E2_of_spherical_distnce|Cross ratio equal to 1/2tan^2 of spherical distnce]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 26#I_was_wondering...|I was wondering...]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 26#Normed_Spaces|Normed Spaces]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 26#A_loxodromoid.3F|A loxodromoid?]]
 
= January 27 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#Calculating_the_area_of_a_triangle_while_on_a_coordinate_system|Calculating the area of a triangle while on a coordinate system]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#Effective_procedure|Effective procedure]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#Three_little_geometry_puzzles|Three little geometry puzzles]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#sequence_space|sequence space]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#Smooth_structures_.28manifolds.29|Smooth structures (manifolds)]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#Another_triangle_problem|Another triangle problem]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 27#How_to_build_an_ellipse.3F|How to build an ellipse?]]
 
= January 28 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 28]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 28#Golden_Ratio|Golden Ratio]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 28#Reversion_to_the_mean|Reversion to the mean]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 28#NP_definition|NP definition]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 28#j-invariant|j-invariant]]
 
= January 29 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#Why_is_the_perimeter_of_a_spherical_triangle_less_than_2_pi.3F|Why is the perimeter of a spherical triangle less than 2 pi?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#Unique_bid_auctions|Unique bid auctions]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#Cardinality|Cardinality]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#ratio_inequality|ratio inequality]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#What_algorithm.3F|What algorithm?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#Proof|Proof]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#Derivative_question|Derivative question]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 29#Monty_hall_paradox|Monty hall paradox]]
 
= January 30 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 30]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 30#percentages.2Cround_offs_and_number_based_systerms|percentages,round offs and number based systerms]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 30#could_there_be_ANY_change_made_in_the_rules_of_logic_without_immediate_inconsistency.3F|could there be ANY change made in the rules of logic without immediate inconsistency?]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 30#Hexadecimal|Hexadecimal]]
 
= January 31 =
[[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31]]
 
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31#Normal_vectors|Normal vectors]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31#Rhombicosidodecahedron|Rhombicosidodecahedron]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31#Strange_use_of_log|Strange use of log]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31#Function_harmonic_on_a_strip|Function harmonic on a strip]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31#Intersecting_cylinders|Intersecting cylinders]]
# [[Wikipedia:Reference_desk/Archives/Mathematics/2010 January 31#What_is_the_link_between_the_edges.2C_faces_and_vertices_of_a_3D_shape.3F|What is the link between the edges, faces and vertices of a 3D shape?]]