Question derivations
All 36000 derivations have bilingual display, basic symbol and structural checks, and questions 1–36000 all have second-context mathematical and bilingual review; no display/symbol-checked candidates remain.
This cohort has 36000 questions. 36000 derivations are published: 36000 mathematically reviewed and 0 display/symbol-checked candidates. 0 are not published here.
- Question 4001: Candidate Sign and Squared-Distance Defect ·
R0007-04001· Mathematically reviewed - Question 4002: Candidate Sign and Squared-Distance Defect ·
R0007-04002· Mathematically reviewed - Question 4003: Candidate Sign and Squared-Distance Defect ·
R0007-04003· Mathematically reviewed - Question 4004: Candidate Sign and Squared-Distance Defect ·
R0007-04004· Mathematically reviewed - Question 4005: Candidate Sign and Squared-Distance Defect ·
R0007-04005· Mathematically reviewed - Question 4006: Candidate Sign and Squared-Distance Defect ·
R0007-04006· Mathematically reviewed - Question 4007: Candidate Sign and Squared-Distance Defect ·
R0007-04007· Mathematically reviewed - Question 4008: Candidate Sign and Squared-Distance Defect ·
R0007-04008· Mathematically reviewed - Question 4009: Candidate Sign and Squared-Distance Defect ·
R0007-04009· Mathematically reviewed - Question 4010: Candidate Sign and Squared-Distance Defect ·
R0007-04010· Mathematically reviewed - Question 4011: Candidate Sign and Squared-Distance Defect ·
R0007-04011· Mathematically reviewed - Question 4012: Candidate Sign and Squared-Distance Defect ·
R0007-04012· Mathematically reviewed - Question 4013: Candidate Sign and Squared-Distance Defect ·
R0007-04013· Mathematically reviewed - Question 4014: Candidate Sign and Squared-Distance Defect ·
R0007-04014· Mathematically reviewed - Question 4015: Candidate Sign and Squared-Distance Defect ·
R0007-04015· Mathematically reviewed - Question 4016: Candidate Sign and Squared-Distance Defect ·
R0007-04016· Mathematically reviewed - Question 4017: Candidate Sign and Squared-Distance Defect ·
R0007-04017· Mathematically reviewed - Question 4018: Candidate Sign and Squared-Distance Defect ·
R0007-04018· Mathematically reviewed - Question 4019: Candidate Sign and Squared-Distance Defect ·
R0007-04019· Mathematically reviewed - Question 4020: Candidate Sign and Squared-Distance Defect ·
R0007-04020· Mathematically reviewed - Question 4021: Candidate Sign and Squared-Distance Defect ·
R0007-04021· Mathematically reviewed - Question 4022: Candidate Sign and Squared-Distance Defect ·
R0007-04022· Mathematically reviewed - Question 4023: Candidate Sign and Squared-Distance Defect ·
R0007-04023· Mathematically reviewed - Question 4024: Candidate Sign and Squared-Distance Defect ·
R0007-04024· Mathematically reviewed - Question 4025: Candidate Sign and Squared-Distance Defect ·
R0007-04025· Mathematically reviewed - Question 4026: Sum of Two Integer Principal Distances ·
R0007-04026· Mathematically reviewed - Question 4027: Sum of Two Integer Principal Distances ·
R0007-04027· Mathematically reviewed - Question 4028: Sum of Two Integer Principal Distances ·
R0007-04028· Mathematically reviewed - Question 4029: Sum of Two Integer Principal Distances ·
R0007-04029· Mathematically reviewed - Question 4030: Sum of Two Integer Principal Distances ·
R0007-04030· Mathematically reviewed - Question 4031: Sum of Two Integer Principal Distances ·
R0007-04031· Mathematically reviewed - Question 4032: Sum of Two Integer Principal Distances ·
R0007-04032· Mathematically reviewed - Question 4033: Sum of Two Integer Principal Distances ·
R0007-04033· Mathematically reviewed - Question 4034: Sum of Two Integer Principal Distances ·
R0007-04034· Mathematically reviewed - Question 4035: Sum of Two Integer Principal Distances ·
R0007-04035· Mathematically reviewed - Question 4036: Sum of Two Integer Principal Distances ·
R0007-04036· Mathematically reviewed - Question 4037: Sum of Two Integer Principal Distances ·
R0007-04037· Mathematically reviewed - Question 4038: Sum of Two Integer Principal Distances ·
R0007-04038· Mathematically reviewed - Question 4039: Sum of Two Integer Principal Distances ·
R0007-04039· Mathematically reviewed - Question 4040: Sum of Two Integer Principal Distances ·
R0007-04040· Mathematically reviewed - Question 4041: Sum of Two Integer Principal Distances ·
R0007-04041· Mathematically reviewed - Question 4042: Sum of Two Integer Principal Distances ·
R0007-04042· Mathematically reviewed - Question 4043: Sum of Two Integer Principal Distances ·
R0007-04043· Mathematically reviewed - Question 4044: Sum of Two Integer Principal Distances ·
R0007-04044· Mathematically reviewed - Question 4045: Sum of Two Integer Principal Distances ·
R0007-04045· Mathematically reviewed - Question 4046: Sum of Two Integer Principal Distances ·
R0007-04046· Mathematically reviewed - Question 4047: Sum of Two Integer Principal Distances ·
R0007-04047· Mathematically reviewed - Question 4048: Sum of Two Integer Principal Distances ·
R0007-04048· Mathematically reviewed - Question 4049: Sum of Two Integer Principal Distances ·
R0007-04049· Mathematically reviewed - Question 4050: Sum of Two Integer Principal Distances ·
R0007-04050· Mathematically reviewed - Question 4051: Ordered Pair of Squared Euclidean Distances ·
R0007-04051· Mathematically reviewed - Question 4052: Ordered Pair of Squared Euclidean Distances ·
R0007-04052· Mathematically reviewed - Question 4053: Ordered Pair of Squared Euclidean Distances ·
R0007-04053· Mathematically reviewed - Question 4054: Ordered Pair of Squared Euclidean Distances ·
R0007-04054· Mathematically reviewed - Question 4055: Ordered Pair of Squared Euclidean Distances ·
R0007-04055· Mathematically reviewed - Question 4056: Ordered Pair of Squared Euclidean Distances ·
R0007-04056· Mathematically reviewed - Question 4057: Ordered Pair of Squared Euclidean Distances ·
R0007-04057· Mathematically reviewed - Question 4058: Ordered Pair of Squared Euclidean Distances ·
R0007-04058· Mathematically reviewed - Question 4059: Ordered Pair of Squared Euclidean Distances ·
R0007-04059· Mathematically reviewed - Question 4060: Ordered Pair of Squared Euclidean Distances ·
R0007-04060· Mathematically reviewed - Question 4061: Ordered Pair of Squared Euclidean Distances ·
R0007-04061· Mathematically reviewed - Question 4062: Ordered Pair of Squared Euclidean Distances ·
R0007-04062· Mathematically reviewed - Question 4063: Ordered Pair of Squared Euclidean Distances ·
R0007-04063· Mathematically reviewed - Question 4064: Ordered Pair of Squared Euclidean Distances ·
R0007-04064· Mathematically reviewed - Question 4065: Ordered Pair of Squared Euclidean Distances ·
R0007-04065· Mathematically reviewed - Question 4066: Ordered Pair of Squared Euclidean Distances ·
R0007-04066· Mathematically reviewed - Question 4067: Ordered Pair of Squared Euclidean Distances ·
R0007-04067· Mathematically reviewed - Question 4068: Ordered Pair of Squared Euclidean Distances ·
R0007-04068· Mathematically reviewed - Question 4069: Ordered Pair of Squared Euclidean Distances ·
R0007-04069· Mathematically reviewed - Question 4070: Ordered Pair of Squared Euclidean Distances ·
R0007-04070· Mathematically reviewed - Question 4071: Ordered Pair of Squared Euclidean Distances ·
R0007-04071· Mathematically reviewed - Question 4072: Ordered Pair of Squared Euclidean Distances ·
R0007-04072· Mathematically reviewed - Question 4073: Ordered Pair of Squared Euclidean Distances ·
R0007-04073· Mathematically reviewed - Question 4074: Ordered Pair of Squared Euclidean Distances ·
R0007-04074· Mathematically reviewed - Question 4075: Ordered Pair of Squared Euclidean Distances ·
R0007-04075· Mathematically reviewed - Question 4076: Distance Order with Explicit Tie Groups ·
R0007-04076· Mathematically reviewed - Question 4077: Distance Order with Explicit Tie Groups ·
R0007-04077· Mathematically reviewed - Question 4078: Distance Order with Explicit Tie Groups ·
R0007-04078· Mathematically reviewed - Question 4079: Distance Order with Explicit Tie Groups ·
R0007-04079· Mathematically reviewed - Question 4080: Distance Order with Explicit Tie Groups ·
R0007-04080· Mathematically reviewed - Question 4081: Distance Order with Explicit Tie Groups ·
R0007-04081· Mathematically reviewed - Question 4082: Distance Order with Explicit Tie Groups ·
R0007-04082· Mathematically reviewed - Question 4083: Distance Order with Explicit Tie Groups ·
R0007-04083· Mathematically reviewed - Question 4084: Distance Order with Explicit Tie Groups ·
R0007-04084· Mathematically reviewed - Question 4085: Distance Order with Explicit Tie Groups ·
R0007-04085· Mathematically reviewed - Question 4086: Distance Order with Explicit Tie Groups ·
R0007-04086· Mathematically reviewed - Question 4087: Distance Order with Explicit Tie Groups ·
R0007-04087· Mathematically reviewed - Question 4088: Distance Order with Explicit Tie Groups ·
R0007-04088· Mathematically reviewed - Question 4089: Distance Order with Explicit Tie Groups ·
R0007-04089· Mathematically reviewed - Question 4090: Distance Order with Explicit Tie Groups ·
R0007-04090· Mathematically reviewed - Question 4091: Distance Order with Explicit Tie Groups ·
R0007-04091· Mathematically reviewed - Question 4092: Distance Order with Explicit Tie Groups ·
R0007-04092· Mathematically reviewed - Question 4093: Distance Order with Explicit Tie Groups ·
R0007-04093· Mathematically reviewed - Question 4094: Distance Order with Explicit Tie Groups ·
R0007-04094· Mathematically reviewed - Question 4095: Distance Order with Explicit Tie Groups ·
R0007-04095· Mathematically reviewed - Question 4096: Distance Order with Explicit Tie Groups ·
R0007-04096· Mathematically reviewed - Question 4097: Distance Order with Explicit Tie Groups ·
R0007-04097· Mathematically reviewed - Question 4098: Distance Order with Explicit Tie Groups ·
R0007-04098· Mathematically reviewed - Question 4099: Distance Order with Explicit Tie Groups ·
R0007-04099· Mathematically reviewed - Question 4100: Distance Order with Explicit Tie Groups ·
R0007-04100· Mathematically reviewed - Question 4101: Every Weighted Expectation Contribution ·
R0007-04101· Mathematically reviewed - Question 4102: Every Weighted Expectation Contribution ·
R0007-04102· Mathematically reviewed - Question 4103: Every Weighted Expectation Contribution ·
R0007-04103· Mathematically reviewed - Question 4104: Every Weighted Expectation Contribution ·
R0007-04104· Mathematically reviewed - Question 4105: Every Weighted Expectation Contribution ·
R0007-04105· Mathematically reviewed - Question 4106: Every Weighted Expectation Contribution ·
R0007-04106· Mathematically reviewed - Question 4107: Every Weighted Expectation Contribution ·
R0007-04107· Mathematically reviewed - Question 4108: Every Weighted Expectation Contribution ·
R0007-04108· Mathematically reviewed - Question 4109: Every Weighted Expectation Contribution ·
R0007-04109· Mathematically reviewed - Question 4110: Every Weighted Expectation Contribution ·
R0007-04110· Mathematically reviewed - Question 4111: Every Weighted Expectation Contribution ·
R0007-04111· Mathematically reviewed - Question 4112: Every Weighted Expectation Contribution ·
R0007-04112· Mathematically reviewed - Question 4113: Every Weighted Expectation Contribution ·
R0007-04113· Mathematically reviewed - Question 4114: Every Weighted Expectation Contribution ·
R0007-04114· Mathematically reviewed - Question 4115: Every Weighted Expectation Contribution ·
R0007-04115· Mathematically reviewed - Question 4116: Every Weighted Expectation Contribution ·
R0007-04116· Mathematically reviewed - Question 4117: Every Weighted Expectation Contribution ·
R0007-04117· Mathematically reviewed - Question 4118: Every Weighted Expectation Contribution ·
R0007-04118· Mathematically reviewed - Question 4119: Every Weighted Expectation Contribution ·
R0007-04119· Mathematically reviewed - Question 4120: Every Weighted Expectation Contribution ·
R0007-04120· Mathematically reviewed - Question 4121: Every Weighted Expectation Contribution ·
R0007-04121· Mathematically reviewed - Question 4122: Every Weighted Expectation Contribution ·
R0007-04122· Mathematically reviewed - Question 4123: Every Weighted Expectation Contribution ·
R0007-04123· Mathematically reviewed - Question 4124: Every Weighted Expectation Contribution ·
R0007-04124· Mathematically reviewed - Question 4125: Every Weighted Expectation Contribution ·
R0007-04125· Mathematically reviewed - Question 4126: Expectation Difference on a Shared Model ·
R0007-04126· Mathematically reviewed - Question 4127: Expectation Difference on a Shared Model ·
R0007-04127· Mathematically reviewed - Question 4128: Expectation Difference on a Shared Model ·
R0007-04128· Mathematically reviewed - Question 4129: Expectation Difference on a Shared Model ·
R0007-04129· Mathematically reviewed - Question 4130: Expectation Difference on a Shared Model ·
R0007-04130· Mathematically reviewed - Question 4131: Expectation Difference on a Shared Model ·
R0007-04131· Mathematically reviewed - Question 4132: Expectation Difference on a Shared Model ·
R0007-04132· Mathematically reviewed - Question 4133: Expectation Difference on a Shared Model ·
R0007-04133· Mathematically reviewed - Question 4134: Expectation Difference on a Shared Model ·
R0007-04134· Mathematically reviewed - Question 4135: Expectation Difference on a Shared Model ·
R0007-04135· Mathematically reviewed - Question 4136: Expectation Difference on a Shared Model ·
R0007-04136· Mathematically reviewed - Question 4137: Expectation Difference on a Shared Model ·
R0007-04137· Mathematically reviewed - Question 4138: Expectation Difference on a Shared Model ·
R0007-04138· Mathematically reviewed - Question 4139: Expectation Difference on a Shared Model ·
R0007-04139· Mathematically reviewed - Question 4140: Expectation Difference on a Shared Model ·
R0007-04140· Mathematically reviewed - Question 4141: Expectation Difference on a Shared Model ·
R0007-04141· Mathematically reviewed - Question 4142: Expectation Difference on a Shared Model ·
R0007-04142· Mathematically reviewed - Question 4143: Expectation Difference on a Shared Model ·
R0007-04143· Mathematically reviewed - Question 4144: Expectation Difference on a Shared Model ·
R0007-04144· Mathematically reviewed - Question 4145: Expectation Difference on a Shared Model ·
R0007-04145· Mathematically reviewed - Question 4146: Expectation Difference on a Shared Model ·
R0007-04146· Mathematically reviewed - Question 4147: Expectation Difference on a Shared Model ·
R0007-04147· Mathematically reviewed - Question 4148: Expectation Difference on a Shared Model ·
R0007-04148· Mathematically reviewed - Question 4149: Expectation Difference on a Shared Model ·
R0007-04149· Mathematically reviewed - Question 4150: Expectation Difference on a Shared Model ·
R0007-04150· Mathematically reviewed - Question 4151: Positive-Mass Value Recovered from a Mean ·
R0007-04151· Mathematically reviewed - Question 4152: Positive-Mass Value Recovered from a Mean ·
R0007-04152· Mathematically reviewed - Question 4153: Positive-Mass Value Recovered from a Mean ·
R0007-04153· Mathematically reviewed - Question 4154: Positive-Mass Value Recovered from a Mean ·
R0007-04154· Mathematically reviewed - Question 4155: Positive-Mass Value Recovered from a Mean ·
R0007-04155· Mathematically reviewed - Question 4156: Positive-Mass Value Recovered from a Mean ·
R0007-04156· Mathematically reviewed - Question 4157: Positive-Mass Value Recovered from a Mean ·
R0007-04157· Mathematically reviewed - Question 4158: Positive-Mass Value Recovered from a Mean ·
R0007-04158· Mathematically reviewed - Question 4159: Positive-Mass Value Recovered from a Mean ·
R0007-04159· Mathematically reviewed - Question 4160: Positive-Mass Value Recovered from a Mean ·
R0007-04160· Mathematically reviewed - Question 4161: Positive-Mass Value Recovered from a Mean ·
R0007-04161· Mathematically reviewed - Question 4162: Positive-Mass Value Recovered from a Mean ·
R0007-04162· Mathematically reviewed - Question 4163: Positive-Mass Value Recovered from a Mean ·
R0007-04163· Mathematically reviewed - Question 4164: Positive-Mass Value Recovered from a Mean ·
R0007-04164· Mathematically reviewed - Question 4165: Positive-Mass Value Recovered from a Mean ·
R0007-04165· Mathematically reviewed - Question 4166: Positive-Mass Value Recovered from a Mean ·
R0007-04166· Mathematically reviewed - Question 4167: Positive-Mass Value Recovered from a Mean ·
R0007-04167· Mathematically reviewed - Question 4168: Positive-Mass Value Recovered from a Mean ·
R0007-04168· Mathematically reviewed - Question 4169: Positive-Mass Value Recovered from a Mean ·
R0007-04169· Mathematically reviewed - Question 4170: Positive-Mass Value Recovered from a Mean ·
R0007-04170· Mathematically reviewed - Question 4171: Positive-Mass Value Recovered from a Mean ·
R0007-04171· Mathematically reviewed - Question 4172: Positive-Mass Value Recovered from a Mean ·
R0007-04172· Mathematically reviewed - Question 4173: Positive-Mass Value Recovered from a Mean ·
R0007-04173· Mathematically reviewed - Question 4174: Positive-Mass Value Recovered from a Mean ·
R0007-04174· Mathematically reviewed - Question 4175: Positive-Mass Value Recovered from a Mean ·
R0007-04175· Mathematically reviewed - Question 4176: Product Expectation versus Product of Means ·
R0007-04176· Mathematically reviewed - Question 4177: Product Expectation versus Product of Means ·
R0007-04177· Mathematically reviewed - Question 4178: Product Expectation versus Product of Means ·
R0007-04178· Mathematically reviewed - Question 4179: Product Expectation versus Product of Means ·
R0007-04179· Mathematically reviewed - Question 4180: Product Expectation versus Product of Means ·
R0007-04180· Mathematically reviewed - Question 4181: Product Expectation versus Product of Means ·
R0007-04181· Mathematically reviewed - Question 4182: Product Expectation versus Product of Means ·
R0007-04182· Mathematically reviewed - Question 4183: Product Expectation versus Product of Means ·
R0007-04183· Mathematically reviewed - Question 4184: Product Expectation versus Product of Means ·
R0007-04184· Mathematically reviewed - Question 4185: Product Expectation versus Product of Means ·
R0007-04185· Mathematically reviewed - Question 4186: Product Expectation versus Product of Means ·
R0007-04186· Mathematically reviewed - Question 4187: Product Expectation versus Product of Means ·
R0007-04187· Mathematically reviewed - Question 4188: Product Expectation versus Product of Means ·
R0007-04188· Mathematically reviewed - Question 4189: Product Expectation versus Product of Means ·
R0007-04189· Mathematically reviewed - Question 4190: Product Expectation versus Product of Means ·
R0007-04190· Mathematically reviewed - Question 4191: Product Expectation versus Product of Means ·
R0007-04191· Mathematically reviewed - Question 4192: Product Expectation versus Product of Means ·
R0007-04192· Mathematically reviewed - Question 4193: Product Expectation versus Product of Means ·
R0007-04193· Mathematically reviewed - Question 4194: Product Expectation versus Product of Means ·
R0007-04194· Mathematically reviewed - Question 4195: Product Expectation versus Product of Means ·
R0007-04195· Mathematically reviewed - Question 4196: Product Expectation versus Product of Means ·
R0007-04196· Mathematically reviewed - Question 4197: Product Expectation versus Product of Means ·
R0007-04197· Mathematically reviewed - Question 4198: Product Expectation versus Product of Means ·
R0007-04198· Mathematically reviewed - Question 4199: Product Expectation versus Product of Means ·
R0007-04199· Mathematically reviewed - Question 4200: Product Expectation versus Product of Means ·
R0007-04200· Mathematically reviewed
The source bank retains its original candidate and verification labels. Display and symbol checks are not recorded as mathematical review or independent recomputation.
Full publication catalogue JSON · Mathematical review index JSON