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 12201: Affine Shifts Drop Out of Covariance ·
R0023-12201· Mathematically reviewed - Question 12202: Affine Shifts Drop Out of Covariance ·
R0023-12202· Mathematically reviewed - Question 12203: Affine Shifts Drop Out of Covariance ·
R0023-12203· Mathematically reviewed - Question 12204: Affine Shifts Drop Out of Covariance ·
R0023-12204· Mathematically reviewed - Question 12205: Affine Shifts Drop Out of Covariance ·
R0023-12205· Mathematically reviewed - Question 12206: Affine Shifts Drop Out of Covariance ·
R0023-12206· Mathematically reviewed - Question 12207: Affine Shifts Drop Out of Covariance ·
R0023-12207· Mathematically reviewed - Question 12208: Affine Shifts Drop Out of Covariance ·
R0023-12208· Mathematically reviewed - Question 12209: Affine Shifts Drop Out of Covariance ·
R0023-12209· Mathematically reviewed - Question 12210: Affine Shifts Drop Out of Covariance ·
R0023-12210· Mathematically reviewed - Question 12211: Affine Shifts Drop Out of Covariance ·
R0023-12211· Mathematically reviewed - Question 12212: Affine Shifts Drop Out of Covariance ·
R0023-12212· Mathematically reviewed - Question 12213: Affine Shifts Drop Out of Covariance ·
R0023-12213· Mathematically reviewed - Question 12214: Affine Shifts Drop Out of Covariance ·
R0023-12214· Mathematically reviewed - Question 12215: Affine Shifts Drop Out of Covariance ·
R0023-12215· Mathematically reviewed - Question 12216: Affine Shifts Drop Out of Covariance ·
R0023-12216· Mathematically reviewed - Question 12217: Affine Shifts Drop Out of Covariance ·
R0023-12217· Mathematically reviewed - Question 12218: Affine Shifts Drop Out of Covariance ·
R0023-12218· Mathematically reviewed - Question 12219: Affine Shifts Drop Out of Covariance ·
R0023-12219· Mathematically reviewed - Question 12220: Affine Shifts Drop Out of Covariance ·
R0023-12220· Mathematically reviewed - Question 12221: Affine Shifts Drop Out of Covariance ·
R0023-12221· Mathematically reviewed - Question 12222: Affine Shifts Drop Out of Covariance ·
R0023-12222· Mathematically reviewed - Question 12223: Affine Shifts Drop Out of Covariance ·
R0023-12223· Mathematically reviewed - Question 12224: Affine Shifts Drop Out of Covariance ·
R0023-12224· Mathematically reviewed - Question 12225: Affine Shifts Drop Out of Covariance ·
R0023-12225· Mathematically reviewed - Question 12226: Compute Three Moments from One Joint Law ·
R0023-12226· Mathematically reviewed - Question 12227: Compute Three Moments from One Joint Law ·
R0023-12227· Mathematically reviewed - Question 12228: Compute Three Moments from One Joint Law ·
R0023-12228· Mathematically reviewed - Question 12229: Compute Three Moments from One Joint Law ·
R0023-12229· Mathematically reviewed - Question 12230: Compute Three Moments from One Joint Law ·
R0023-12230· Mathematically reviewed - Question 12231: Compute Three Moments from One Joint Law ·
R0023-12231· Mathematically reviewed - Question 12232: Compute Three Moments from One Joint Law ·
R0023-12232· Mathematically reviewed - Question 12233: Compute Three Moments from One Joint Law ·
R0023-12233· Mathematically reviewed - Question 12234: Compute Three Moments from One Joint Law ·
R0023-12234· Mathematically reviewed - Question 12235: Compute Three Moments from One Joint Law ·
R0023-12235· Mathematically reviewed - Question 12236: Compute Three Moments from One Joint Law ·
R0023-12236· Mathematically reviewed - Question 12237: Compute Three Moments from One Joint Law ·
R0023-12237· Mathematically reviewed - Question 12238: Compute Three Moments from One Joint Law ·
R0023-12238· Mathematically reviewed - Question 12239: Compute Three Moments from One Joint Law ·
R0023-12239· Mathematically reviewed - Question 12240: Compute Three Moments from One Joint Law ·
R0023-12240· Mathematically reviewed - Question 12241: Compute Three Moments from One Joint Law ·
R0023-12241· Mathematically reviewed - Question 12242: Compute Three Moments from One Joint Law ·
R0023-12242· Mathematically reviewed - Question 12243: Compute Three Moments from One Joint Law ·
R0023-12243· Mathematically reviewed - Question 12244: Compute Three Moments from One Joint Law ·
R0023-12244· Mathematically reviewed - Question 12245: Compute Three Moments from One Joint Law ·
R0023-12245· Mathematically reviewed - Question 12246: Compute Three Moments from One Joint Law ·
R0023-12246· Mathematically reviewed - Question 12247: Compute Three Moments from One Joint Law ·
R0023-12247· Mathematically reviewed - Question 12248: Compute Three Moments from One Joint Law ·
R0023-12248· Mathematically reviewed - Question 12249: Compute Three Moments from One Joint Law ·
R0023-12249· Mathematically reviewed - Question 12250: Compute Three Moments from One Joint Law ·
R0023-12250· Mathematically reviewed - Question 12251: Symmetry of Covariance under Swapping Coordinates ·
R0023-12251· Mathematically reviewed - Question 12252: Symmetry of Covariance under Swapping Coordinates ·
R0023-12252· Mathematically reviewed - Question 12253: Symmetry of Covariance under Swapping Coordinates ·
R0023-12253· Mathematically reviewed - Question 12254: Symmetry of Covariance under Swapping Coordinates ·
R0023-12254· Mathematically reviewed - Question 12255: Symmetry of Covariance under Swapping Coordinates ·
R0023-12255· Mathematically reviewed - Question 12256: Symmetry of Covariance under Swapping Coordinates ·
R0023-12256· Mathematically reviewed - Question 12257: Symmetry of Covariance under Swapping Coordinates ·
R0023-12257· Mathematically reviewed - Question 12258: Symmetry of Covariance under Swapping Coordinates ·
R0023-12258· Mathematically reviewed - Question 12259: Symmetry of Covariance under Swapping Coordinates ·
R0023-12259· Mathematically reviewed - Question 12260: Symmetry of Covariance under Swapping Coordinates ·
R0023-12260· Mathematically reviewed - Question 12261: Symmetry of Covariance under Swapping Coordinates ·
R0023-12261· Mathematically reviewed - Question 12262: Symmetry of Covariance under Swapping Coordinates ·
R0023-12262· Mathematically reviewed - Question 12263: Symmetry of Covariance under Swapping Coordinates ·
R0023-12263· Mathematically reviewed - Question 12264: Symmetry of Covariance under Swapping Coordinates ·
R0023-12264· Mathematically reviewed - Question 12265: Symmetry of Covariance under Swapping Coordinates ·
R0023-12265· Mathematically reviewed - Question 12266: Symmetry of Covariance under Swapping Coordinates ·
R0023-12266· Mathematically reviewed - Question 12267: Symmetry of Covariance under Swapping Coordinates ·
R0023-12267· Mathematically reviewed - Question 12268: Symmetry of Covariance under Swapping Coordinates ·
R0023-12268· Mathematically reviewed - Question 12269: Symmetry of Covariance under Swapping Coordinates ·
R0023-12269· Mathematically reviewed - Question 12270: Symmetry of Covariance under Swapping Coordinates ·
R0023-12270· Mathematically reviewed - Question 12271: Symmetry of Covariance under Swapping Coordinates ·
R0023-12271· Mathematically reviewed - Question 12272: Symmetry of Covariance under Swapping Coordinates ·
R0023-12272· Mathematically reviewed - Question 12273: Symmetry of Covariance under Swapping Coordinates ·
R0023-12273· Mathematically reviewed - Question 12274: Symmetry of Covariance under Swapping Coordinates ·
R0023-12274· Mathematically reviewed - Question 12275: Symmetry of Covariance under Swapping Coordinates ·
R0023-12275· Mathematically reviewed - Question 12276: Zero Covariance Can Coexist with Dependence ·
R0023-12276· Mathematically reviewed - Question 12277: Zero Covariance Can Coexist with Dependence ·
R0023-12277· Mathematically reviewed - Question 12278: Zero Covariance Can Coexist with Dependence ·
R0023-12278· Mathematically reviewed - Question 12279: Zero Covariance Can Coexist with Dependence ·
R0023-12279· Mathematically reviewed - Question 12280: Zero Covariance Can Coexist with Dependence ·
R0023-12280· Mathematically reviewed - Question 12281: Zero Covariance Can Coexist with Dependence ·
R0023-12281· Mathematically reviewed - Question 12282: Zero Covariance Can Coexist with Dependence ·
R0023-12282· Mathematically reviewed - Question 12283: Zero Covariance Can Coexist with Dependence ·
R0023-12283· Mathematically reviewed - Question 12284: Zero Covariance Can Coexist with Dependence ·
R0023-12284· Mathematically reviewed - Question 12285: Zero Covariance Can Coexist with Dependence ·
R0023-12285· Mathematically reviewed - Question 12286: Zero Covariance Can Coexist with Dependence ·
R0023-12286· Mathematically reviewed - Question 12287: Zero Covariance Can Coexist with Dependence ·
R0023-12287· Mathematically reviewed - Question 12288: Zero Covariance Can Coexist with Dependence ·
R0023-12288· Mathematically reviewed - Question 12289: Zero Covariance Can Coexist with Dependence ·
R0023-12289· Mathematically reviewed - Question 12290: Zero Covariance Can Coexist with Dependence ·
R0023-12290· Mathematically reviewed - Question 12291: Zero Covariance Can Coexist with Dependence ·
R0023-12291· Mathematically reviewed - Question 12292: Zero Covariance Can Coexist with Dependence ·
R0023-12292· Mathematically reviewed - Question 12293: Zero Covariance Can Coexist with Dependence ·
R0023-12293· Mathematically reviewed - Question 12294: Zero Covariance Can Coexist with Dependence ·
R0023-12294· Mathematically reviewed - Question 12295: Zero Covariance Can Coexist with Dependence ·
R0023-12295· Mathematically reviewed - Question 12296: Zero Covariance Can Coexist with Dependence ·
R0023-12296· Mathematically reviewed - Question 12297: Zero Covariance Can Coexist with Dependence ·
R0023-12297· Mathematically reviewed - Question 12298: Zero Covariance Can Coexist with Dependence ·
R0023-12298· Mathematically reviewed - Question 12299: Zero Covariance Can Coexist with Dependence ·
R0023-12299· Mathematically reviewed - Question 12300: Zero Covariance Can Coexist with Dependence ·
R0023-12300· Mathematically reviewed - Question 12301: Emit Classes Only after All Three Axioms Qualify ·
R0023-12301· Mathematically reviewed - Question 12302: Emit Classes Only after All Three Axioms Qualify ·
R0023-12302· Mathematically reviewed - Question 12303: Emit Classes Only after All Three Axioms Qualify ·
R0023-12303· Mathematically reviewed - Question 12304: Emit Classes Only after All Three Axioms Qualify ·
R0023-12304· Mathematically reviewed - Question 12305: Emit Classes Only after All Three Axioms Qualify ·
R0023-12305· Mathematically reviewed - Question 12306: Emit Classes Only after All Three Axioms Qualify ·
R0023-12306· Mathematically reviewed - Question 12307: Emit Classes Only after All Three Axioms Qualify ·
R0023-12307· Mathematically reviewed - Question 12308: Emit Classes Only after All Three Axioms Qualify ·
R0023-12308· Mathematically reviewed - Question 12309: Emit Classes Only after All Three Axioms Qualify ·
R0023-12309· Mathematically reviewed - Question 12310: Emit Classes Only after All Three Axioms Qualify ·
R0023-12310· Mathematically reviewed - Question 12311: Emit Classes Only after All Three Axioms Qualify ·
R0023-12311· Mathematically reviewed - Question 12312: Emit Classes Only after All Three Axioms Qualify ·
R0023-12312· Mathematically reviewed - Question 12313: Emit Classes Only after All Three Axioms Qualify ·
R0023-12313· Mathematically reviewed - Question 12314: Emit Classes Only after All Three Axioms Qualify ·
R0023-12314· Mathematically reviewed - Question 12315: Emit Classes Only after All Three Axioms Qualify ·
R0023-12315· Mathematically reviewed - Question 12316: Emit Classes Only after All Three Axioms Qualify ·
R0023-12316· Mathematically reviewed - Question 12317: Emit Classes Only after All Three Axioms Qualify ·
R0023-12317· Mathematically reviewed - Question 12318: Emit Classes Only after All Three Axioms Qualify ·
R0023-12318· Mathematically reviewed - Question 12319: Emit Classes Only after All Three Axioms Qualify ·
R0023-12319· Mathematically reviewed - Question 12320: Emit Classes Only after All Three Axioms Qualify ·
R0023-12320· Mathematically reviewed - Question 12321: Emit Classes Only after All Three Axioms Qualify ·
R0023-12321· Mathematically reviewed - Question 12322: Emit Classes Only after All Three Axioms Qualify ·
R0023-12322· Mathematically reviewed - Question 12323: Emit Classes Only after All Three Axioms Qualify ·
R0023-12323· Mathematically reviewed - Question 12324: Emit Classes Only after All Three Axioms Qualify ·
R0023-12324· Mathematically reviewed - Question 12325: Emit Classes Only after All Three Axioms Qualify ·
R0023-12325· Mathematically reviewed - Question 12326: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12326· Mathematically reviewed - Question 12327: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12327· Mathematically reviewed - Question 12328: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12328· Mathematically reviewed - Question 12329: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12329· Mathematically reviewed - Question 12330: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12330· Mathematically reviewed - Question 12331: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12331· Mathematically reviewed - Question 12332: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12332· Mathematically reviewed - Question 12333: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12333· Mathematically reviewed - Question 12334: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12334· Mathematically reviewed - Question 12335: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12335· Mathematically reviewed - Question 12336: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12336· Mathematically reviewed - Question 12337: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12337· Mathematically reviewed - Question 12338: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12338· Mathematically reviewed - Question 12339: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12339· Mathematically reviewed - Question 12340: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12340· Mathematically reviewed - Question 12341: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12341· Mathematically reviewed - Question 12342: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12342· Mathematically reviewed - Question 12343: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12343· Mathematically reviewed - Question 12344: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12344· Mathematically reviewed - Question 12345: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12345· Mathematically reviewed - Question 12346: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12346· Mathematically reviewed - Question 12347: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12347· Mathematically reviewed - Question 12348: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12348· Mathematically reviewed - Question 12349: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12349· Mathematically reviewed - Question 12350: Every Carrier Element Needs Its Diagonal Pair ·
R0023-12350· Mathematically reviewed - Question 12351: Record Original Pairs Whose Reverse Is Missing ·
R0023-12351· Mathematically reviewed - Question 12352: Record Original Pairs Whose Reverse Is Missing ·
R0023-12352· Mathematically reviewed - Question 12353: Record Original Pairs Whose Reverse Is Missing ·
R0023-12353· Mathematically reviewed - Question 12354: Record Original Pairs Whose Reverse Is Missing ·
R0023-12354· Mathematically reviewed - Question 12355: Record Original Pairs Whose Reverse Is Missing ·
R0023-12355· Mathematically reviewed - Question 12356: Record Original Pairs Whose Reverse Is Missing ·
R0023-12356· Mathematically reviewed - Question 12357: Record Original Pairs Whose Reverse Is Missing ·
R0023-12357· Mathematically reviewed - Question 12358: Record Original Pairs Whose Reverse Is Missing ·
R0023-12358· Mathematically reviewed - Question 12359: Record Original Pairs Whose Reverse Is Missing ·
R0023-12359· Mathematically reviewed - Question 12360: Record Original Pairs Whose Reverse Is Missing ·
R0023-12360· Mathematically reviewed - Question 12361: Record Original Pairs Whose Reverse Is Missing ·
R0023-12361· Mathematically reviewed - Question 12362: Record Original Pairs Whose Reverse Is Missing ·
R0023-12362· Mathematically reviewed - Question 12363: Record Original Pairs Whose Reverse Is Missing ·
R0023-12363· Mathematically reviewed - Question 12364: Record Original Pairs Whose Reverse Is Missing ·
R0023-12364· Mathematically reviewed - Question 12365: Record Original Pairs Whose Reverse Is Missing ·
R0023-12365· Mathematically reviewed - Question 12366: Record Original Pairs Whose Reverse Is Missing ·
R0023-12366· Mathematically reviewed - Question 12367: Record Original Pairs Whose Reverse Is Missing ·
R0023-12367· Mathematically reviewed - Question 12368: Record Original Pairs Whose Reverse Is Missing ·
R0023-12368· Mathematically reviewed - Question 12369: Record Original Pairs Whose Reverse Is Missing ·
R0023-12369· Mathematically reviewed - Question 12370: Record Original Pairs Whose Reverse Is Missing ·
R0023-12370· Mathematically reviewed - Question 12371: Record Original Pairs Whose Reverse Is Missing ·
R0023-12371· Mathematically reviewed - Question 12372: Record Original Pairs Whose Reverse Is Missing ·
R0023-12372· Mathematically reviewed - Question 12373: Record Original Pairs Whose Reverse Is Missing ·
R0023-12373· Mathematically reviewed - Question 12374: Record Original Pairs Whose Reverse Is Missing ·
R0023-12374· Mathematically reviewed - Question 12375: Record Original Pairs Whose Reverse Is Missing ·
R0023-12375· Mathematically reviewed - Question 12376: Record Every Failed Composable-Pair Triple ·
R0023-12376· Mathematically reviewed - Question 12377: Record Every Failed Composable-Pair Triple ·
R0023-12377· Mathematically reviewed - Question 12378: Record Every Failed Composable-Pair Triple ·
R0023-12378· Mathematically reviewed - Question 12379: Record Every Failed Composable-Pair Triple ·
R0023-12379· Mathematically reviewed - Question 12380: Record Every Failed Composable-Pair Triple ·
R0023-12380· Mathematically reviewed - Question 12381: Record Every Failed Composable-Pair Triple ·
R0023-12381· Mathematically reviewed - Question 12382: Record Every Failed Composable-Pair Triple ·
R0023-12382· Mathematically reviewed - Question 12383: Record Every Failed Composable-Pair Triple ·
R0023-12383· Mathematically reviewed - Question 12384: Record Every Failed Composable-Pair Triple ·
R0023-12384· Mathematically reviewed - Question 12385: Record Every Failed Composable-Pair Triple ·
R0023-12385· Mathematically reviewed - Question 12386: Record Every Failed Composable-Pair Triple ·
R0023-12386· Mathematically reviewed - Question 12387: Record Every Failed Composable-Pair Triple ·
R0023-12387· Mathematically reviewed - Question 12388: Record Every Failed Composable-Pair Triple ·
R0023-12388· Mathematically reviewed - Question 12389: Record Every Failed Composable-Pair Triple ·
R0023-12389· Mathematically reviewed - Question 12390: Record Every Failed Composable-Pair Triple ·
R0023-12390· Mathematically reviewed - Question 12391: Record Every Failed Composable-Pair Triple ·
R0023-12391· Mathematically reviewed - Question 12392: Record Every Failed Composable-Pair Triple ·
R0023-12392· Mathematically reviewed - Question 12393: Record Every Failed Composable-Pair Triple ·
R0023-12393· Mathematically reviewed - Question 12394: Record Every Failed Composable-Pair Triple ·
R0023-12394· Mathematically reviewed - Question 12395: Record Every Failed Composable-Pair Triple ·
R0023-12395· Mathematically reviewed - Question 12396: Record Every Failed Composable-Pair Triple ·
R0023-12396· Mathematically reviewed - Question 12397: Record Every Failed Composable-Pair Triple ·
R0023-12397· Mathematically reviewed - Question 12398: Record Every Failed Composable-Pair Triple ·
R0023-12398· Mathematically reviewed - Question 12399: Record Every Failed Composable-Pair Triple ·
R0023-12399· Mathematically reviewed - Question 12400: Record Every Failed Composable-Pair Triple ·
R0023-12400· 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