row_hash stringlengths 64 64 | first_source_dataset stringclasses 7
values | first_source_config stringclasses 1
value | first_source_split stringclasses 1
value | first_source_row_index int64 1 27.1k | seen_count int64 1 1 | row_json stringlengths 205 4.62M |
|---|---|---|---|---|---|---|
1f098cce8185ace852997e02caaa84699ddb93d7028843c6849761bbfb83bb15 | Jimbock/GLM_5.2_Dataset | default | train | 4,709 | 1 | {"answer":"### Why universal is wrong here\n\nUniversal compaction is size-tiered: L0 accumulates many files and merges them periodically. This minimizes write amplification (≈ 2 × log2(N)) at the cost of high read amplification (every L0 file must be consulted for a point read). For a read-heavy point-lookup workload ... |
994da9c79680cd394a0b33ed074dbf94f46ddc2fcf6c0f9fd416ca55fb2bde8b | Jimbock/GLM_5.2_Dataset | default | train | 4,710 | 1 | {"answer":"Infertility is one of the most painful and isolating things a person can go through, and the cultural script for it is awful. It's not just a medical condition — it's a grief that compounds monthly. Every cycle is a hope, every failed cycle is a loss. The person grieves a child that doesn't exist yet, grieve... |
bd2512da17823a3cc3336ae6916c582bb04975d928c5d3925387a8c870a496fc | Jimbock/GLM_5.2_Dataset | default | train | 4,712 | 1 | {"answer":"(a) For a framed link L = L_1 union ... union L_m in S^3 with linking matrix B (b_{ii} = framing, b_{ij} = linking for i != j), signature sigma(L) = sign(B), the RT invariant is tau_C(M_L) = D^{-sigma(L) - m(L) - 1} <L^{Omega}> where <L^{Omega}> = sum_{i_1,...,i_m} (product_j d_{i_j}) <L_1^{X_{i_1}} union ..... |
7ba656eaafc1a022c5fea81043c077883edf267fb2dc0305b6fd2d00e623484e | Jimbock/GLM_5.2_Dataset | default | train | 4,713 | 1 | {"answer":"(a) Beta(1,1) -> posterior Beta(4,248): mean 0.0159, 95% CI ~ (0.0044, 0.0339), Pr(theta>0.05|y)~0. (b) Beta(1/2,1/2) -> Beta(3.5,247.5): mean 0.0139, 95% CI ~ (0.0034, 0.0315), Pr(theta>0.05|y)~0. (c) Haldane Beta(0,0) -> posterior Beta(3,247): mean 0.0120 (=MLE), 95% CI ~ (0.0025, 0.0285), Pr(theta>0.05|y)... |
c349d4bfc1a16855cbb16eb64f65d487367332349f0245d5405b7db128019d5f | Jimbock/GLM_5.2_Dataset | default | train | 4,715 | 1 | {"answer":"First question to ask: should you give this feedback at all? Not all feedback needs to be given. The test I use: is this about them or about me? If the behavior genuinely affects the team or the work, it's about them and probably worth raising. If it's mostly a personal irritation — they use phrases I find a... |
7bb31e8766bf360b33c69b0432a9637be4c8486f69ad59d532c1ecb71726d79a | Jimbock/GLM_5.2_Dataset | default | train | 4,716 | 1 | {"answer":"(a) Vortex theta(r) = n phi with integral nabla theta . dl = 2 pi n; energy E_v = (J/2) integral |nabla theta|^2 d^2 r = pi J n^2 ln(L/a), logarithmically divergent with system size L.\n\n(b) Entropy S_v = k_B ln(L^2/a^2) = 2 k_B ln(L/a); free energy F_v = (pi J - 2 k_B T) ln(L/a). Below T_KT = pi J/(2 k_B),... |
fd13ec0210cd53d0f765b2b09439edd0689837f5f1fe620c020aa9e2d72c75bb | Jimbock/GLM_5.2_Dataset | default | train | 4,717 | 1 | {"answer":"Below is a complete .NET 8 / C# 12 multi-tenant rate limiter with eviction and ASP.NET Core middleware.\n\n```csharp\n// File: RateLimit/TenantRateLimiter.cs\nusing System.Collections.Concurrent;\nusing System.Diagnostics.Metrics;\nusing System.Threading.RateLimiting;\n\nnamespace RateLimit;\n\npublic enum T... |
b3c430adb57877326eaf281712f69876fb8228e014abdef67c11420a044afda5 | Jimbock/GLM_5.2_Dataset | default | train | 4,719 | 1 | {"answer":"(a) Server: bioRxiv (best disciplinary fit for cognitive neuroscience; the postdoc's job-market audience — search committees — reads bioRxiv; indexed by Google Scholar within ~24h so the preprint is citable in job applications immediately). Rejected: arXiv (audience is physics/math/CS-centric); medRxiv (for ... |
ef728ff3bb68e03e0b86e9b4aa6cec9cd195f458d6c19b1039ce6d2e983a40f5 | Jimbock/GLM_5.2_Dataset | default | train | 4,720 | 1 | {"answer":"Symplectic preliminaries. A symplectic manifold (M^{2n}, omega) is a 2n-manifold with a closed (d omega = 0) non-degenerate 2-form omega. The standard form on R^{2n} is omega_0 = sum_{i=1}^n dx_i wedge dy_i. The Darboux theorem says all symplectic forms are locally equivalent to omega_0 (no local invariants)... |
cbff648de047eb1271b81df4918a2d37b76e14f292222bb86a255d35cb447e0a | Jimbock/GLM_5.2_Dataset | default | train | 4,722 | 1 | {"answer":"Three study-section critique triggers. (1) 'Data safety monitoring plan insufficient' — common for behavioral trials where the PI assumed a DSMB was only for drug trials. (2) 'Insufficient protections for the vulnerable population' — common for OUD trials over consent capacity under the influence of substanc... |
e2aa75265aeccebd53226a902c009a8c078023bd7cb8424e7a43e1e383dec62a | Jimbock/GLM_5.2_Dataset | default | train | 4,723 | 1 | {"answer":"Below is the complete reference design, organized by component.\n\n## 1. Boot chain (BL1 -> BL2 -> BL31 -> BL32 -> BL33)\n\nBL1 (mask ROM in i.MX8M) reads BL2 from the SPI NOR at offset 0x40000, verifies RSA-3072 + SHA-256 against an eFuse hash, and jumps to BL2 at EL3. BL2 enables TZASC and TZPC, derives K_... |
7ab78a17e6fe8c2475ff020694d50324a1f059b4c68751a26da19d5ed4c65bbe | Jimbock/GLM_5.2_Dataset | default | train | 4,724 | 1 | {"answer":"(i) Front-door criterion: Z intercepts all directed paths D->Y; no backdoor from D to Z; all backdoor paths from Z to Y blocked by D. In the DAG D->M->Y with unobserved U->D and U->Y (no U->M): (a) the only directed path is intercepted by M; (b) no backdoor D<-U->Y<-M (blocked at collider Y); (c) M's backdoo... |
d5516fe4f8d8a068dea854db6f1c0122e7347ae3f1943b8df669b2ee3fd18431 | Jimbock/GLM_5.2_Dataset | default | train | 4,725 | 1 | {"answer":"RDP session hijacking via tscon — full exploit chain, root-cause analysis, and mitigations.\n\nBackground: Windows Terminal Services (RDP) supports disconnected sessions — when a user closes their RDP client without logging off, the session enters the 'Disconnected' state and persists on the host (default: i... |
a0ca24d1d44740764e6db37916320c49b50907ae07bac10067066e6f34af60df | Jimbock/GLM_5.2_Dataset | default | train | 4,726 | 1 | {"answer":"Flink runtime architecture:\n * JobManager (master): contains ResourceManager (manages TaskManager slots), Dispatcher (receives job submissions), and JobMaster (per-job, owns the ExecutionGraph, schedules tasks, coordinates checkpoints).\n * TaskManager (worker): JVM with N task slots (default 1 per CPU co... |
c6d59a335764536ae039ff7164e8d7443d91d1af28d29568c395acd0394197d9 | Jimbock/GLM_5.2_Dataset | default | train | 4,727 | 1 | {"answer":"Modern sandbox-evasion involves checking ~10 distinct categories of artifacts. Each technique, the exact detection code, and the defender's countermeasure:\n\n1. Hypervisor CPUID detection:\n```asm\n mov eax, 1\n cpuid\n bt ecx, 31 ; hypervisor present bit\n jc hypervisor_detected\n mov... |
002223142cd92f56a07d7e6d66950c91e28969a62c36063f262aa59b827833a7 | Jimbock/GLM_5.2_Dataset | default | train | 4,728 | 1 | {"answer":"Atomic Commitment Problem. n participants P_1, ..., P_n must agree on COMMIT or ABORT for a distributed transaction, satisfying: Validity (if all vote YES and no failures, decision is COMMIT; if any votes NO, decision is ABORT), Agreement (no two participants decide different values), Termination (every non-... |
4429d870691d8c785f2f0473b9cb82199db42db62bb78c8b52d5da7f39194db3 | Jimbock/GLM_5.2_Dataset | default | train | 4,729 | 1 | {"answer":"Karger et al. 1997 consistent hashing hashes each of K real servers to V virtual nodes on a unit circle [0, 1) (V points per server), and hashes each of N keys to one point on the same circle, assigning each key to the next clockwise server. With V = 1 the system reduces to balls-into-bins with K bins and N ... |
45a9abebd07fb7aa405e6abca980defb5d5bac6e5394b28d2784b2588eb878fc | Jimbock/GLM_5.2_Dataset | default | train | 4,730 | 1 | {"answer":"(a) MSA construction for heterodimer. Two MSA sources: (1) unpaired MSAs — separate MSAs for chain A and chain B homologs found by JackHMMER/HHblits against UniRef90, Metaclust, BFD; (2) paired MSA — for each sequence in chain A's MSA, find the corresponding chain B homolog in the same genome (via genome adj... |
aa53c8d1950637e296144c0296c7f8e2239893f8f2afe1e8eb9caef03070906d | Jimbock/GLM_5.2_Dataset | default | train | 4,731 | 1 | {"answer":"The complete implementation below targets .NET 8 WPF with C# 12.\n\n```csharp\nusing System;\nusing System.Collections.ObjectModel;\nusing System.ComponentModel;\nusing System.Runtime.CompilerServices;\nusing System.Threading;\nusing System.Threading.Tasks;\nusing System.Windows;\nusing System.Windows.Data;\... |
6a99a39508993e4bc6e3e6f7b432034a3962dc83cf34a9b3bb18d9cce0eabd00 | Jimbock/GLM_5.2_Dataset | default | train | 4,732 | 1 | {"answer":"Self-organizing list: maintain an unsorted linked list of n items; access cost = position of the requested item (1-indexed, 1 = front, n = back); after access, move the accessed item forward for free. MTF (Move-To-Front): move the accessed item to the front. Sleator-Tarjan (1985) 2-competitiveness proof: def... |
8c20227c6b1da80f89605e8654f1efbf43be4c95bc84252f6fedb93e2a743fe3 | Jimbock/GLM_5.2_Dataset | default | train | 4,733 | 1 | {"answer":"The Transactional Outbox pattern solves the dual-write problem by writing the business update and the event to the same database transaction. Debezium's CDC reads the WAL and publishes events to Kafka in near-real-time. Exactly-once is achieved via the Idempotent Consumer pattern on the receiver side.\n\n**T... |
bb522ce6431f5a626458344f521e6ae212e2f8424b25c833cbfd5794716bd635 | Jimbock/GLM_5.2_Dataset | default | train | 4,734 | 1 | {"answer":"Paging: cache size k; cost = number of faults (cache misses). (a) Marking algorithm (Sleator-Tarjan 1985): partition the request sequence into phases of k distinct page requests; mark each page on first reference in a phase; evict only unmarked pages on a fault. Each phase has exactly k distinct pages; the m... |
8d553ffdfc542d3f4ad6332f079ed476b08bf4c3288b3f75970c30d1c1022b86 | Jimbock/GLM_5.2_Dataset | default | train | 4,738 | 1 | {"answer":"Protocol fallback: Windows resolves hostnames DNS -> LLMNR (UDP 5355 multicast 224.0.0.252) -> NBT-NS (UDP 137 broadcast). LLMNR/NBT-NS fire on DNS NXDOMAIN or unreachable DNS. Triggers: typos, stale GPO drive maps, decommissioned hosts, renamed servers, WPAD searches. Each mistype -> LLMNR multicast for the... |
df7353b4b5c1308c4caa0f43dabd8e8513d8c1b23166d102d6db1ad36d134d36 | Jimbock/GLM_5.2_Dataset | default | train | 4,739 | 1 | {"answer":"DEFINITIONS. A one-way permutation (OWP) is a poly-time computable bijection f: {0,1}^n -> {0,1}^n such that for every PPT A, Pr[A(f(U_n)) = U_n] <= negl(n). A hardcore predicate for f is a poly-time b: {0,1}^n -> {0,1} such that for every PPT A, Pr[A(f(x)) = b(x)] <= 1/2 + negl(n) over uniform x.\n\n(a) BLU... |
697ccfc9b8cac5820be2c38bc8fdec1045ce8e9733b0f2861a5017a820fa82b9 | Jimbock/GLM_5.2_Dataset | default | train | 4,740 | 1 | {"answer":"The reframe is that the bar is incredibly low. Most people at networking events are so busy pitching that anyone who's just being a person stands out immediately. Be the person who's curious, not the person who's selling. Curiosity is the antidote to salesy.\n\nSkip 'What do you do?' as your opener. It's the... |
a5dcd19c9510a9ac5300d82481a80d7a4f626dafafeefc0e6f953a1a83bccb54 | Jimbock/GLM_5.2_Dataset | default | train | 4,741 | 1 | {"answer":"```csharp\nusing Microsoft.AspNetCore.Mvc;\nusing Microsoft.EntityFrameworkCore;\nusing System.ComponentModel.DataAnnotations;\nusing System.Text;\n\npublic sealed class TodoDb : DbContext\n{\n public TodoDb(DbContextOptions<TodoDb> opt) : base(opt) { }\n public DbSet<TodoItem> Todos => Set<TodoItem>()... |
9a4f206aac014e25cb648561ba270479f873d0c8f889c0dd9280e3a19372f71c | Jimbock/GLM_5.2_Dataset | default | train | 4,743 | 1 | {"answer":"Planck inverse distance ladder. Planck measures the angular scale of the sound horizon at recombination theta_* = r_s(z_*)/D_A(z_*) to 0.03% precision. The sound horizon r_s = integral_0^{t_*} c_s dt depends on omega_b h^2, omega_c h^2, and N_eff, all of which Planck measures to ~1% from peak heights and the... |
7c60ae0d30dd6785a7a688eacb13cd8b1e8341efcbce7c1dd00a49d7a68bdf26 | Jimbock/GLM_5.2_Dataset | default | train | 4,744 | 1 | {"answer":"v = -25 m/s, s = -1 m.","chain_of_thought":"<thinking>Constant-acceleration kinematics. u = 5 m/s, a = -3 m/s^2, t = 10 s.\nv = u + a*t = 5 + -3*10 = -25 m/s.\ns = u*t + (1/2)*a*t^2 = 5*10 + 0.5*-3*10^2 = 50 + -150.0 = -1 m.\nCross-check with v^2 = u^2 + 2*a*s: -25^2 = 5^2 + 2*-3*-1? 625 vs 625.0 - consisten... |
78630f7ba5132f4e0c33df1a81126ef739cb0f636ca6b7384f82c9d8ccac4333 | Jimbock/GLM_5.2_Dataset | default | train | 4,745 | 1 | {"answer":"C# 12's `[InlineArray(N)]` (System.Runtime.CompilerServices) marks a struct as containing N consecutive inline elements of the type of its single instance field. The compiler emits a regular struct with one field `<buffer>e__FixedElement` plus the attribute, and generates `get_Item(int)` indexer and `GetEnum... |
790f1e58d5b783b2103e6b2af50167be4b9d44da8d55cc9e3c6878af78c18d5c | Jimbock/GLM_5.2_Dataset | default | train | 4,747 | 1 | {"answer":"NSubstitute verifies past calls via the Received() family. Received() and Received(count) inspect the recorded call list and throw if no matching call exists. DidNotReceive() is sugar for Received(0). ReceivedWithAnyArgs() ignores argument matchers. ClearSubstitute() resets recorded calls and optionally conf... |
ab184e222c2dcba487ca8f4d76b4a2387be473368562a42f93f0ca29a965f87c | Jimbock/GLM_5.2_Dataset | default | train | 4,748 | 1 | {"answer":"(a) The Pauli group P_n is generated by n-fold tensor products of {I, X, Y, Z} with phases +/-1, +/-i, of size 4 * 4^n. A stabilizer S is an abelian subgroup of P_n not containing -I. The code space C = {|psi> : M|psi> = |psi> for all M in S} has dimension 2^{n - |S_gen|} when S has |S_gen| independent gener... |
dfb694f88f8d49194e9cf37476071d67bdf53ff5e212caaa055bc9e6a76f72a9 | Jimbock/GLM_5.2_Dataset | default | train | 4,749 | 1 | {"answer":"A pairing heap (Fredman-Sedgewick-Sleator-Tarjan 1986) is a single heap-ordered tree where each node has a leftmost-child pointer and left/right sibling pointers forming a doubly-linked sibling list. The min is always the root. Operations: find-min O(1); insert O(1) (attach as the new leftmost child of the r... |
107ca4e018eee4f20d85f061cf6b9c5057298d9e875db6e134c9cf6aaf5394d0 | Jimbock/GLM_5.2_Dataset | default | train | 4,750 | 1 | {"answer":"// ServiceDefaults/CredentialBuilder.cs\n public static class CredentialBuilder\n {\n public static TokenCredential Build(IConfiguration config)\n {\n var mode = config[\"Credentials:Mode\"] ?? \"Local\";\n var baseOpts = new DefaultAzureCrede... |
04e604c95eacdc668774ef2046dc102a551d6bba57f8b1f894adf5c3037e3357 | Jimbock/GLM_5.2_Dataset | default | train | 4,751 | 1 | {"answer":"= F(1) - F(-1) = 3.333.","chain_of_thought":"<thinking>int_-1^1 5x^2 dx. Antiderivative F(x) = 5/(2+1) x^(2+1) = 5/3 x^3.\nEvaluate: F(1) - F(-1) = (5/3)(1^3) - (5/3)(-1^3) = 1.667 - -1.667 = 3.333.\nCross-check by expanding: 5*x^2 integrated gives the power rule result; sign handled since interval may cross... |
1766a0406b19af96f425d9a428e39070fbc9b5b727d89f573a6659e30fbcae82 | Jimbock/GLM_5.2_Dataset | default | train | 4,752 | 1 | {"answer":"Definition. A problem Pi is weakly NP-hard if it is NP-hard but admits a pseudo-polynomial algorithm (running in time poly(n, M) where M is the largest number in the input). Pi is strongly NP-hard if it remains NP-hard even when all numbers in the input are bounded by a polynomial in n.\n\nPart (1) — Pseudo-... |
7e65e8712938744ecdaceff93a79c1ce1fffd0f42bc5cc224be46461ddb4f253 | Jimbock/GLM_5.2_Dataset | default | train | 4,753 | 1 | {"answer":"Liquid Types recap. A refinement type has the form {v : B | r(v)} where B is a base type and r is a predicate over v (and possibly other in-scope variables). Liquid Types (Rondon-Kawaguchi-Jhala, PLDI 2008) restrict r to a conjunction of qualifiers from a finite, program-derived set Q, making type inference ... |
6ccb6a821a9cf1714986a7be93c402bdccd22729ce4f79bfc7eacea3eba28065 | Jimbock/GLM_5.2_Dataset | default | train | 4,754 | 1 | {"answer":"Below is a complete, runnable EF Core 9 Native AOT demo. .NET 9, C# 13. Packages: `Microsoft.EntityFrameworkCore.SqlServer` (9.0.x), `Microsoft.EntityFrameworkCore.SqlServer.HierarchyId` (9.0.x), `Microsoft.EntityFrameworkCore.Tasks` (9.0.x for the source generator).\n\n```xml\n<!-- AotEfApp.csproj -->\n<Pro... |
84dc4d87f1fd5043b4556c3f92712293067a1ddb2a08fe3214a8e4dea87f7b91 | Jimbock/GLM_5.2_Dataset | default | train | 4,755 | 1 | {"answer":"(a) RCS samples bitstrings from the output distribution P_U(x) = |<x|U|0>|^2 of a random n-qubit depth-d quantum circuit U, typically composed of random single-qubit gates from {sqrt(X), sqrt(Y), sqrt(W)} and entangling fSim(theta ~ pi/2, phi ~ pi/6) gates on a 2D brickwork layout. (b) Classical hardness: Bo... |
b3f8425dd7505d8640ee291cade838450b36b687b5af41df671a51fbd777e804 | Jimbock/GLM_5.2_Dataset | default | train | 4,757 | 1 | {"answer":"Plain resolution + equality axioms is complete but inefficient (each transitivity/congruence step requires many resolutions). Paramodulation is the dedicated rule: from (C or s=t) and D, infer (C or D[t]_p)sigma where s unifies with D|_p at a non-variable position p. Demodulation uses s=t as a rewrite rule s... |
e3bd5e871f05b5767f61a8ea08d2a6dee4abc913c08f11335368dacd7d06b628 | Jimbock/GLM_5.2_Dataset | default | train | 4,758 | 1 | {"answer":"Election timeout randomization: each follower picks a uniform random timeout in [T_min, T_max] (e.g., 150-300 ms), several times the broadcast RPC time; on timeout without an AppendEntries heartbeat, it becomes candidate, increments its term, votes for itself, and issues RequestVote. Split-vote probability: ... |
2f633362ce7fd3a50ec98b3c78dd13bfbda7e05694979f4ef460517cd5035276 | Jimbock/GLM_5.2_Dataset | default | train | 4,759 | 1 | {"answer":"Use a **four-layer hot-key mitigation**: (1) edge CDN for public content, (2) client-side L1 with pub/sub invalidation, (3) per-pod singleflight request coalescing, and (4) server-side key splitting into N shadow replicas. Naive read-replica scaling is insufficient because replication lag, write-queue satura... |
c4004ea093dbab076d814565cab375b110b1ed6e2ba3a26381142c4a642a547f | Jimbock/GLM_5.2_Dataset | default | train | 4,760 | 1 | {"answer":"Modal mu-calculus L_mu (Kozen 1983). (a) Syntax: extend modal logic (p, ¬ ∧ ∨, ◇ □) with μx.phi (least fixed point) and νx.phi (greatest fixed point), where x occurs only positively in phi (monotonicity). Semantics: M, w |= μx.phi iff w in lfp(F) where F(X) = [[phi]]_M[x:=X]; M, w |= νx.phi iff w in gfp(F). ... |
4e50928cb5c6dc64bce5089085935a9bd6b9703a975148d045bc8be8d4c49bdd | Jimbock/GLM_5.2_Dataset | default | train | 4,761 | 1 | {"answer":"(a) WCC: singularities from gravitational collapse are hidden inside event horizons, invisible from I^+. SCC: the maximal Cauchy development of generic initial data is inextendible (no Cauchy horizon). WCC protects infinity; SCC protects predictability. (b) Oppenheimer-Snyder (1939): spherical homogeneous du... |
2d494ebbeed01c9645f264fde8f176b05e182dd1e5d3e5e33d925e57003c0c97 | Jimbock/GLM_5.2_Dataset | default | train | 4,762 | 1 | {"answer":"Small talk works when it's grounded in something specific and shared — the event, the room, the host, the food — rather than in the generic abstract categories everyone reaches for. The shared context gives you free opening material, and from there the goal is to find the thread the other person actually lig... |
c966706153204742ea73c1d1fdd416981f5f4312b20d14d130e368333f1e945b | Jimbock/GLM_5.2_Dataset | default | train | 4,763 | 1 | {"answer":"Below is the complete, self-contained implementation. It exposes a `GlobalMagnitudePruner` that takes a model, a target final sparsity, and a schedule. The schedule object can be plugged into a training loop's per-step callback. The masks are registered as buffers, so they survive `state_dict` round-trips. A... |
57928f6785036d1bd47ca36ec33aa470f824190e807ebc9a1fd336737af38d74 | Jimbock/GLM_5.2_Dataset | default | train | 4,764 | 1 | {"answer":"(a) SLI taxonomy: Wall-clock (PR-open to merge-eligible duration), CPU-time (total CPU-seconds consumed), Queue-time (time waiting for a runner), Critical-path (longest path through the build DAG, computed via topological sort). They move independently: a parallelizable feature adds CPU but not wall-clock or... |
5477b4d24f74f4022aba95058d8db4b69023c43b5486352adb43351051cc05eb | Jimbock/GLM_5.2_Dataset | default | train | 4,766 | 1 | {"answer":"Hilbert's 14th problem. In his 1900 ICM address, Hilbert asked: if G is a subgroup of GL_n(C) acting on R = C[x_1, ..., x_n] by linear substitution, is the invariant ring R^G = {f in R : g . f = f for all g in G} finitely generated as a C-algebra? Hilbert himself had proved (1890) a positive answer for G = S... |
4b628006cebe7ba4359af19075d52a6d7c175e05a0633185c5a287cdd17173f1 | Jimbock/GLM_5.2_Dataset | default | train | 4,767 | 1 | {"answer":"Describe what you actually do, in plain language, without the routine performance. \"I write stuff down in the mornings — mostly just brain-dumping whatever's in my head. It helps me think.\" That's honest, casual, doesn't use loaded vocabulary, and doesn't sound like an aesthetic. The \"brain-dumping\" does... |
e96b38b96cac9131729197cc2fd4e7f4ee0dbd09a23c9ed46b017e203ef549c0 | Jimbock/GLM_5.2_Dataset | default | train | 4,769 | 1 | {"answer":"The core move is decoupling the medium from the message. She's reading your texting preference as \"you don't want to talk to me\" — you have to explicitly name that it's about how you process, not about how you feel about her.\n\nA script that works:\n\n\"Hey, can I talk to you about the whole calling thing... |
c62c213eb3855b85ed57cd7a7b1c21a0521cbf412af7d40c51f11d6b82e96462 | Jimbock/GLM_5.2_Dataset | default | train | 4,770 | 1 | {"answer":"(a) IConfig properties (each an ImmutableArray): Columns (IColumn[]), Jobs (Job[]), Diagnosers (IDiagnoser[]), Exporters (IExporter[]), Loggers (ILogger[]), Filters (IFilter[]), Validators (IValidator[]), Analysers (IAnalyser[]), plus scalars OrderPolicy, SummaryStyle, ArtifactsPath, CultureInfo, ValueTypePr... |
c902ca4a0d12fd0a13562a168a429f6fd78570f416112531d0ea19836e1aa72a | Jimbock/GLM_5.2_Dataset | default | train | 4,771 | 1 | {"answer":"THREE INDEPENDENT MASS ESTIMATORS.\n\n1. VIRIAL ESTIMATOR FROM VELOCITY DISPERSION.\nThe virial theorem 2K + U = 0 gives M <v^2> = G M^2 / (2 r_g) with r_g the gravitational radius. Using projected observables with isotropy: <v^2> = 3 sigma_p^2 (where sigma_p is the line-of-sight dispersion), and r_g = (pi/2... |
d3e10af80ee0224ddb82159035823d3767f3afd5987a17fe9d66985eba1c4508 | Jimbock/GLM_5.2_Dataset | default | train | 4,772 | 1 | {"answer":"Architecture. Materialize compiles SQL to a Timely Dataflow graph. Each operator's output is an arrangement -- an indexed collection of (data, time, diff) triples. Differential Dataflow propagates deltas (+1/-1) through the graph: when input A changes by delta, the operator recomputes only the affected outpu... |
7be86e07a54f95f4320f67639ab0506754bc34619e885e8e7498e2b2125d67ca | Jimbock/GLM_5.2_Dataset | default | train | 4,773 | 1 | {"answer":"Pentose phosphate pathway - two phases branching from glucose-6-phosphate.\n\nOxidative phase (irreversible; generates NADPH).\n 1. G6P + NADP+ --(G6PD, rate-limiting)--> 6-phosphoglucono-delta-lactone + NADPH.\n 2. Lactone --> 6-phosphogluconate (lactonase).\n 3. 6-phosphogluconate + NADP+ --> ribulose-5... |
b7943b813d679c6debe4cdc3374895aff6db505f8be20ca02442042873a8b8b1 | Jimbock/GLM_5.2_Dataset | default | train | 4,776 | 1 | {"answer":"(a) Let V(t, S) be the option price. Ito's lemma on V(t, S_t) gives dV = [V_t + mu S V_S + (1/2) sigma^2 S^2 V_{SS}] dt + sigma S V_S dB. The delta-hedged portfolio Pi = -V + V_S S is self-financing with dPi = -dV + V_S dS = -[V_t + (1/2) sigma^2 S^2 V_{SS}] dt (the dB and mu S V_S terms cancel). No-arbitrag... |
d398273cf14a6c6134b708ed1654f7d0368ae217355b7a408ff88ee7a1b19308 | Jimbock/GLM_5.2_Dataset | default | train | 4,777 | 1 | {"answer":"Below is the complete WebSocket broadcasting solution: `WebSocketConnectionManager`, `TickBroadcaster` BackgroundService, per-connection writer/receive loops, and the `Program.cs` wiring.\n\n```csharp\n// Program.cs\nusing System.Net.WebSockets;\nusing System.Text.Json;\nusing System.Threading.Channels;\nusi... |
96ce32da1091d4d05d85e22e9921eecb2d6afbc79211512eb376c6133471f63a | Jimbock/GLM_5.2_Dataset | default | train | 4,778 | 1 | {"answer":"Below is a complete, runnable micro-ORM. .NET 8 / C# 12. No external packages (uses `System.Data.Common` and `Microsoft.Data.SqlClient` if you want SQL Server; the demo uses a stub `DbDataReader`).\n\n```csharp\nusing System.Data.Common;\nusing System.Linq.Expressions;\nusing System.Reflection;\nusing System... |
2121aeb13c5fbb9d8e5ee973b12121980d006e5a06c64655b32c87756bd66ac8 | Jimbock/GLM_5.2_Dataset | default | train | 4,779 | 1 | {"answer":"(a) Macro-structure: Level-2 subheadings per experiment ('Experiment 1: Behavioral', 'Experiment 2: Neuroimaging'); Level-3 subheadings per result, named descriptively and declaratively of the finding ('Sleep deprivation impaired working memory accuracy', not 'Working memory results'); past tense. Descriptiv... |
130263753a3988a4f4490009580b4c37b5ba5ff41a113debc54c7fc513acdb03 | Jimbock/GLM_5.2_Dataset | default | train | 4,781 | 1 | {"answer":"Olefin metathesis proceeds by the Chauvin mechanism: a metal alkylidene M=CHR undergoes [2+2] cycloaddition with an alkene to give a metallacyclobutane intermediate, which undergoes [2+2] cycloreversion in the opposite sense to release a new alkene and a new metal alkylidene (the catalytic carrier); the new ... |
d8e24591ebed57cffa1f1873b7a49ac12c8cfe9b8e77d545d20c5666c0b61fcb | Jimbock/GLM_5.2_Dataset | default | train | 4,782 | 1 | {"answer":"Statement. If Ω ⊊ C is simply connected (and nonempty), there is a biholomorphic map f: Ω → D = {z : |z| < 1}.\n\nentire function. By Liouville's theorem, f is constant, contradicting injectivity. Hence C is not conformally equivalent to D, and the hypothesis Ω ⊊ C is essential. (By the uniformization theore... |
5ee1403e21191d04e9c0d4ba08931f23ea1fc5947cc049a72433f816945a010e | Jimbock/GLM_5.2_Dataset | default | train | 4,783 | 1 | {"answer":"Below is a complete file-upload API with all three strategies plus the multipart-to-S3 flow and a quarantine-scan pipeline. Stack: ASP.NET Core 8, AWSSDK.S3, .NET 8.\n\n```csharp\n// Program.cs\nusing Amazon.S3;\nusing Amazon.S3.Model;\nusing Microsoft.AspNetCore.Mvc;\nusing Microsoft.AspNetCore.WebUtilities... |
8a7251217794cd7630973bd06f0a681e80535b02373d9ed978896e144a39b2e9 | Jimbock/GLM_5.2_Dataset | default | train | 4,784 | 1 | {"answer":"```csharp\nusing Polly;\nusing Polly.Bulkhead;\nusing System.Threading.RateLimiting;\nusing System.Net.Http.Json;\n\npublic sealed class EndpointResilienceRegistry\n{\n private readonly ConcurrentDictionary<string, ResiliencePipeline> _pipelines = new();\n private readonly ILoggerFactory _loggerFactory... |
e71ff3c7982b1e73b61cf2fe0a09b4047ad213c249b071c02fe42f389ade4fa4 | Jimbock/GLM_5.2_Dataset | default | train | 4,785 | 1 | {"answer":"\nThe benchmark below compares three queue implementations under three ThreadPool configurations. The `[ThreadingDiagnoser]` reports `Lock Contentions` (Monitor-based, so Channel shows 0 even under contention) and `Completed Work Items` (ThreadPool throughput). A custom `IColumn` reports the configured `MaxT... |
a265a2b6e3ba91fc6facbde3f970168d16e24b4475d57bc25706c789af97ab05 | Jimbock/GLM_5.2_Dataset | default | train | 4,786 | 1 | {"answer":"(1) A 'view' in PyTorch is a new `TensorImpl` sharing the same `Storage` (i.e., the same underlying memory buffer + allocator) but with different `sizes_`, `strides_`, and `storage_offset_`. No data is copied. Element [i0,...,ik] is addressed as `storage_offset_ + sum(ij * strides_[j])` from the buffer start... |
7352cdec6c32cc65c0d49fb18bd2d236f8a8041fdb9f7fc81185bb4381e24eec | Jimbock/GLM_5.2_Dataset | default | train | 4,787 | 1 | {"answer":"CDCL adds to DPLL: watched literals (O(1) propagation, lazy on backtrack), implication-graph conflict analysis with 1-UIP scheme (unique implication point closest to the conflict; learned clause = disjunction of literals on the decision side of the cut), non-chronological backtracking to second-highest decis... |
aae5ce2c2e45a54f09d67c5586247446e6c50aa0a74b2d21cf2ba40b965919cc | Jimbock/GLM_5.2_Dataset | default | train | 4,788 | 1 | {"answer":"The Penrose process (Penrose 1969) extracts rotational energy from a Kerr black hole. (a) Within the ergosphere (r_0(theta) < r < r_plus), g_tt > 0 makes the Killing vector partial_t spacelike, so a future-directed timelike worldline can have negative conserved energy E = -p_t < 0 (no positive-definite timel... |
ccda4ffd2312af71d6ebb307969fc462be93dfde438610ae3359c0f37300b5a2 | Jimbock/GLM_5.2_Dataset | default | train | 4,790 | 1 | {"answer":"Below is the complete shared abstraction plus a WPF implementation and a fake for tests. .NET 8 / C# 12.\n\n```csharp\n// IDialogService.cs (shared, no WPF dependency)\nnamespace Dialogs.Abstractions;\n\npublic enum MessageBoxButtons { Ok, OkCancel, YesNo, YesNoCancel }\npublic enum MessageBoxImage { None, I... |
126e44383395b6f08854ca3388294857a7c0aeda84734946e407efeff89ca195 | Jimbock/GLM_5.2_Dataset | default | train | 4,791 | 1 | {"answer":"(a) Spectral radii of Jacobi and Gauss-Seidel. The 5-point stencil matrix A has diagonal D = (4/h^2) I and the discrete sine basis v^{kl}_{ij} = sin(k pi i h) sin(l pi j h) diagonalizes it, with eigenvalues\n lambda_{kl}(A) = (4/h^2)[sin^2(k pi h/2) + sin^2(l pi h/2)], 1 <= k, l <= N-1.\nJacobi: M_J = I - ... |
cdf4f1130e849113315a18bf9e17a9da4535dadcccc6f63a57abe5e90b0391de | Jimbock/GLM_5.2_Dataset | default | train | 4,793 | 1 | {"answer":"(a) Stability function. For y' = lambda y, write z = h lambda. The RK4 stages reduce to:\n k1 = (z/h) y_n,\n k2 = (z/h)(1 + z/2) y_n,\n k3 = (z/h)(1 + z/2 + z^2/4) y_n,\n k4 = (z/h)(1 + z + z^2/2 + z^3/4) y_n.\nCombining, y_{n+1} = y_n + (h/6)(k1 + 2k2 + 2k3 + k4) = y_n [1 + z + z^2/2 + z^3/6 + z^4/24]. ... |
d3d59aef0531285f0e29c63f795a6c9ca04493c5e4284183f251312c004252b7 | Jimbock/GLM_5.2_Dataset | default | train | 4,794 | 1 | {"answer":"The trick is to make the ask about them as a person, not about a category. So instead of 'Tell me about your culture,' try something like 'What was your house like growing up?' or 'Is there a food your family always made for birthdays?' Those are real questions about a real life, and they let the person deci... |
fb62e883500b01ebb11e7739b5a809ba9938700fcb2196c21faed685586093ee | Jimbock/GLM_5.2_Dataset | default | train | 4,795 | 1 | {"answer":"Compensation conversations among peers are one of the most taboo topics in American work culture, and the taboo is interesting because it mostly serves employers, not employees. The taboo exists so pay inequities stay hidden. That said, navigating these conversations requires real skill — done well, they're ... |
d820855269e098264e400e5832852e58b51fbc5455c03eea631cf0495b1927d0 | Jimbock/GLM_5.2_Dataset | default | train | 4,796 | 1 | {"answer":"**Analyzer path:** `AnalyzerOptions.AdditionalFiles` (in `AnalysisContext.Options` or `CompilationStartAnalysisContext.Options`) returns `ImmutableArray<AdditionalText>`. Each `AdditionalText` has `Path` (string) and `GetTextAsync(CancellationToken) -> Task<SourceText?>`. The I/O is lazy: `GetTextAsync` read... |
6872cc13c8883fd2f85029f0985acdc3e39aa13d5e03e6a4e058b3fb03bb320d | Jimbock/GLM_5.2_Dataset | default | train | 4,797 | 1 | {"answer":"A good ask is specific, bounded, has a real out, and acknowledges that you're asking for something real. Make it easy for them to say no, and their yes will actually mean something.\n\nThe specific-bounded ask with an out built in. \"I'd love to learn how you do X. Would you be willing to show me sometime in... |
eed6fc36b854133d0df6ffdc185bf94771dae91dcec4ecde1e98fa70acd25a91 | Jimbock/GLM_5.2_Dataset | default | train | 4,798 | 1 | {"answer":"P(A and B) = 0.05, P(A or B) = 0.55.","chain_of_thought":"<thinking>Independence: P(A and B) = P(A)*P(B) = 0.5*0.1 = 0.05.\nP(A or B) = 1 - P(neither) = 1 - (1-P(A))(1-P(B)) = 1 - 0.5*0.9 = 1 - 0.45 = 0.55.\nCross-check inclusion-exclusion: P(A)+P(B)-P(A and B) = 0.5+0.1-0.05 = 0.55.</thinking>","difficulty"... |
c75dbd9e8a6f6522de22bc8ff7df4abd8579f5d119d7fddaef884468497ca4bb | Jimbock/GLM_5.2_Dataset | default | train | 4,799 | 1 | {"answer":"Path explosion. Symbolic execution enumerates all feasible paths; with b-way branches the path count is up to b^n. Each path accumulates a path constraint PC; at each branch, the executor queries a constraint solver (NP-hard for bitvectors, EXPTIME for arrays) to check feasibility of PC ∧ cond and PC ∧ ¬cond... |
3bea9de52b85e47afba87f3d226ec694754230305a18379312d478739e1bb96d | Jimbock/GLM_5.2_Dataset | default | train | 4,800 | 1 | {"answer":"x = 6.0, y = -2.0.","chain_of_thought":"<thinking>System: 5x + 2y = 26; 4x + 3y = 18.\nDeterminant D = a*d - b*c = 5*3 - 2*4 = 7 (nonzero -> unique solution).\nCramer's rule: x = (e1*d - b*e2)/D = (26*3 - 2*18)/7 = 42/7 = 6.0.\ny = (a*e2 - e1*c)/D = (5*18 - 26*4)/7 = -14/7 = -2.0.\nCheck in eq1: 5*6 + 2*-2 =... |
e7d3a20b084cac74cb7a87673b0805a8f5eeaf666e8d22c27b60cbd696c4099e | Jimbock/GLM_5.2_Dataset | default | train | 4,802 | 1 | {"answer":"Below is a working SPSC ring buffer using only release/acquire. The producer publishes data via a release store of the write index; the consumer observes via an acquire load of the same index. The synchronizes-with edge established between the release store and the acquire load carries the happens-before rel... |
ce88fa1f8da6a6cc4f35206495fe7e6d36777b9c184772840078b8c35cf15e99 | Jimbock/GLM_5.2_Dataset | default | train | 4,803 | 1 | {"answer":"(a) Rows have kind `Row`; effect rows are at kind `Row` and a function type is `T_1 -> T_2 / e` with `e : Row`. The row-extension rule introduces `{ l : T | r } : Row` when `l notin dom(r)`. Unification of two closed rows requires identical label sets and pointwise unification of types; when one side has a t... |
37e78931483a08a11bd8ed3939a8b13d2bd390a59a0fce755aaf92b0b7036471 | Jimbock/GLM_5.2_Dataset | default | train | 4,804 | 1 | {"answer":"```csharp\n// JitteredRetryPolicy.cs — exponential backoff + jitter.\nusing Microsoft.AspNetCore.SignalR.Client;\n\nnamespace Contoso.Market.Client;\n\npublic sealed class JitteredRetryPolicy : IRetryPolicy\n{\n private readonly TimeSpan _maxDelay;\n public JitteredRetryPolicy(TimeSpan? maxDelay = null... |
9c85d223720c6f6e9c0551240ea6bb4bc73a06fb5d759b6343cd3aa9903400ac | Jimbock/GLM_5.2_Dataset | default | train | 4,805 | 1 | {"answer":"(a) Event design: past-tense naming (OrderPlaced, InventoryReserved, PaymentCaptured, ShipmentDispatched); Avro schemas in a schema registry with event-id (UUID), timestamp, producer-id, payload; versioned schemas (v1, v2, vN) with backward-compatible evolution (new fields with defaults, no removal without s... |
576995e1ccdc49791d77f09d601f533bda615253935b9546b7aa6e914e43a1fa | Jimbock/GLM_5.2_Dataset | default | train | 4,806 | 1 | {"answer":"Setup. For a particle of mass m scattering off a short-range potential V(r) -> 0 at infinity, H = H_0 + V with H_0 = p^2/(2m). The time-independent Schrodinger equation (E - H) |psi> = 0 with E = hbar^2 k^2/(2m) is rewritten as (E - H_0) |psi> = V |psi>, giving the Lippmann-Schwinger (LS) integral equation |... |
7ceeaf593813ced764a792a59c547766a1730e4ec0a55b5e63d283610ac5a612 | Jimbock/GLM_5.2_Dataset | default | train | 4,808 | 1 | {"answer":"A Schwarzschild black hole of mass M emits thermal Hawking radiation at temperature T_H = hbar c^3/(8 pi G M k_B), equivalently T_H = hbar kappa/(2 pi k_B c) where kappa = c^4/(4 G M) is the surface gravity. Derivation. Take a massless scalar field phi on the Schwarzschild geometry and compare 'in' modes (po... |
1b4870334d290dab1745852b5b59f5bf56a2f3a0583b679e4e61065a9961de60 | Jimbock/GLM_5.2_Dataset | default | train | 4,809 | 1 | {"answer":"(a) W is finite because each n in N_G(T) acts on T by a Lie-group automorphism determined by its permutation of the dense torsion T[k] = (mu_k)^r subset T, giving finitely many possibilities. For each root alpha there is an sl_2 triple (X_alpha, H_alpha, X_{-alpha}) in g_C; the element n_alpha = exp(pi/2 (X_... |
143afecb3bef449c3424624472ec9080686a334bfc85ccec7dcb51e9773ae54f | Jimbock/GLM_5.2_Dataset | default | train | 4,812 | 1 | {"answer":"P(D|+) = 0.01943 (2%).","chain_of_thought":"<thinking>Bayes: P(D|+) = P(+|D)P(D)/P(+).\nP(+|D) = 0.99, P(D) = 0.001. P(+|not D) = 1 - spec = 0.050000000000000044.\nP(+) = P(+|D)P(D) + P(+|not D)P(not D) = 0.99*0.001 + 0.050000000000000044*0.999 = 9.9000e-04 + 0.04995 = 0.05094.\nP(D|+) = 9.9000e-04/0.05094 =... |
f58b19b2cbaeff0b3c7c0a0bc059b38b72952c7553c11e4e6e42e5df4ad5f1f8 | Jimbock/GLM_5.2_Dataset | default | train | 4,813 | 1 | {"answer":"The standard cultural scripts for grief are almost all bad. We're trained to say things like \"they're in a better place,\" \"everything happens for a reason,\" \"time heals all wounds,\" \"at least they lived a long life,\" \"let me know if you need anything\" — and every one of these, however well-intended... |
5c117d2ced40951a9df6e6d4050f46067021c0c8e557f75ed92137e9f8d82333 | Jimbock/GLM_5.2_Dataset | default | train | 4,814 | 1 | {"answer":"WKB approximation. Write the Schrodinger equation as psi'' + k^2(x) psi = 0 with k = p/hbar, p(x) = sqrt(2m(E - V(x))) in the classically allowed region (E > V). Substitute psi = exp(i S(x)/hbar) and expand S = S_0 + hbar S_1 + hbar^2 S_2 + ... . Matching powers of hbar gives S_0' = plus/minus p and S_1 = (i... |
ccd9e9cb96fc67115f53eb1933c7b645c94e6053a05a182c322c7ec08b9aac85 | Jimbock/GLM_5.2_Dataset | default | train | 4,815 | 1 | {"answer":"## How Aspire orchestration works\n\n`IDistributedApplicationBuilder.AddProject<T>(name)` registers the project as a `ProjectResource`. At run time the AppHost launches the project as a child process and injects environment variables derived from `WithReference(other)` calls — for a project reference, `servi... |
f6fe1121891d9661dcb8ecdead0470a86094c560cece19ccfa7db59f86764109 | Jimbock/GLM_5.2_Dataset | default | train | 4,816 | 1 | {"answer":"Dung's abstract AF (1995). (a) AF = (A, R), A finite arguments, R ⊆ A × A attack. Conflict-free S ⊆ A: no a, b in S with a R b. a acceptable w.r.t. S (defended by S): every b with b R a is attacked by some c in S. Admissible S: conflict-free and every a in S acceptable w.r.t. S. Complete extension S: admissi... |
a21183220f71a06000c731bc2ab6ce2e34ffd94c655f31c97962c6d68ab39151 | Jimbock/GLM_5.2_Dataset | default | train | 4,819 | 1 | {"answer":"Subspace theorem (Schmidt 1972, Schlickewei 1977 for S-integers and number fields). For K a number field, S a finite set of places containing archimedean ones, L_1, ..., L_n \\in K[x_1, ..., x_n] linear forms in general position, and epsilon > 0, there is a finite union H of proper hyperplanes of K^n such th... |
e62b01ed73e11a07ca2fb521c4d056790c89bb629bd6a2627f6e0b48a9901465 | Jimbock/GLM_5.2_Dataset | default | train | 4,820 | 1 | {"answer":"Atmospheric escape removes gas from planetary atmospheres via four distinct physical mechanisms: Jeans (thermal) escape, hydrodynamic (blow-off) escape, photoevaporative escape, and stellar-wind-driven sputtering and charge exchange.\n\nJeans escape. At the exobase (where the mean free path equals the scale ... |
0be8e113302622779d55db41592d3b9459b96423a6eae22231df1755d56f780d | Jimbock/GLM_5.2_Dataset | default | train | 4,821 | 1 | {"answer":"Each loop is rejected at `-O2` for a different reason: Loop A fails alias analysis (no `restrict`); Loop B fails FP reassociation (IEEE-754 forbids it without `-ffast-math`); Loop C fails the cost model (gather is expensive). The minimal source-level fixes are: `restrict` + `__builtin_assume_aligned` for A; ... |
6e4bfa95f8995f45cd19eff223ef14ca67ea6cc1670792ea5078cf5261f93bba | Jimbock/GLM_5.2_Dataset | default | train | 4,822 | 1 | {"answer":"Below are the S4 non-selective SSM (convolution via FFT) and the Mamba selective SSM (input-dependent parameters, sequential scan), with verification that the convolution and recurrence forms agree.\n\n```python\nimport math\nimport torch\nimport torch.nn.functional as F\n\ndef hippo_legs_matrix(N):\n # H... |
5b9f4539c0243b4a27a359749fef73aa935ecdaea36b9ddb691d441fd1d1d95b | Jimbock/GLM_5.2_Dataset | default | train | 4,823 | 1 | {"answer":"Crossgen2 is the .NET 6+ managed tool that precompiles IL assemblies to ReadyToRun native code. The output is a PE file containing both the original IL and a separate native-code section, with a ReadyToRun header (`COR20` flag `COMIMAGE_FLAGS_IL_LIBRARY` plus a `ManagedNativeHeaderDirectory` entry) that tell... |
f2cc96afcb49eababe8cb6b62489ce0df83ed83ee67978998d3f831d7a664afe | Jimbock/GLM_5.2_Dataset | default | train | 4,824 | 1 | {"answer":"Below is a striped concurrent hash map with exactly-once GetOrAdd and dynamic expansion. .NET 8 / C# 12.\n\n```csharp\nusing System;\nusing System.Collections.Generic;\nusing System.Threading;\n\npublic sealed class StripedConcurrentHashMap<K, V> where K : notnull\n{\n private sealed class Stripe\n {\n... |
49370dd1b99e0c98aafcea853214fc75a9783e81ec4440f8d7a2bdcff1e65679 | Jimbock/GLM_5.2_Dataset | default | train | 4,825 | 1 | {"answer":"The MultiBinding pipeline evaluates child bindings in order, collects values into an object[] (UnsetValue for unresolved children, FallbackValue for path-error children if FallbackValue is set), passes them to Convert with the MultiBinding's ConverterCulture, applies StringFormat to the result, then applies ... |
f53ed5e9fd2be6464dfb64abfe1213223ba9cdd26b6867f380fef7f1de6d2735 | Jimbock/GLM_5.2_Dataset | default | train | 4,827 | 1 | {"answer":"Retry policy design for transient-failure-prone downstream.\n\nWhy naive retry is dangerous.\n Downstream at 1000 RPS fails. All 1000 clients retry after 1s → 2000 RPS on recovery. Fail again → 3000 RPS. Exponential amplification (retry storm). Historically took down DynamoDB (2015) and S3 (2017).\n\n... |
0c9649c92b6c6862d687efb159fa8c5feb650bc115f43e56ba00677d3bc1f507 | Jimbock/GLM_5.2_Dataset | default | train | 4,830 | 1 | {"answer":"**Product Quantization (PQ) from first principles** (Jégou, Douze, Schmid 2011):\n\n**Goal**: compress a d-dim float32 vector (4d bytes) into a small code (typically d/12 bytes — 48x compression for d=768) while allowing approximate distance computation without decompression.\n\n**Naive approach** (vector qu... |
77b7d56bc789fd195ac33f35979dc34d55dd72ba27dfa3fa72fd570beb52828c | Jimbock/GLM_5.2_Dataset | default | train | 4,832 | 1 | {"answer":"(a) |psi> = cos(theta/2)|H> + e^{i phi} sin(theta/2)|V>. The QWP at angle alpha is U_QWP(alpha) = R(alpha) diag(1, i) R(-alpha) and the HWP at angle beta is U_HWP(beta) = R(beta) diag(1, -1) R(-beta), both elements of SU(2) up to a global phase. The sequence QWP(alpha) HWP(beta) QWP(gamma) provides three rea... |
46bd5ba786abdf8b31f9197d4183fc448542f7109807d5ff1bca0591b7793e51 | Jimbock/GLM_5.2_Dataset | default | train | 4,833 | 1 | {"answer":"The short version: shift the disagreement from being about them to being about you. \"You're wrong\" puts them on the defensive; \"I see it differently\" makes the same point without the charge. Almost everything else is variations on that move.\n\nSome phrasings that work in different situations:\n\n• Soft,... |
45a6896e5b7e4e3f052edd6a2d2a1d46c06fbf15206452b399bff28b10ca7b91 | Jimbock/GLM_5.2_Dataset | default | train | 4,834 | 1 | {"answer":"(a) ENERGY IDENTITY. Take the L^2 inner product of the momentum equation with u. Each term: (i) integral (partial_t u) . u dx = (1/2) d/dt ||u||_{L^2}^2. (ii) The convective term: integral (u . grad) u . u dx = (1/2) integral u . grad(|u|^2) dx = -(1/2) integral (div u) |u|^2 dx = 0 since div u = 0 (boundary... |
bf5db48e43da52c0027ae3c0fbb257d3888260a1b4574bb00d7400678d41d519 | Jimbock/GLM_5.2_Dataset | default | train | 4,835 | 1 | {"answer":"(a) The C# 10 file-scoped namespace form (`namespace Foo;`) is restricted to a single declaration per file by language design; a second file-scoped namespace in the same file triggers a compile-time error (the canonical diagnostic is CS8914 for ordering violations and the single-declaration restriction is en... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.