All limits.

The 2022 CODATA recommended value of kelvin-inverse meter relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kelvin-joule relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kelvin-kilogram relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-atomic mass unit relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-electron volt relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-hartree relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-hertz relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-inverse meter relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-joule relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of kilogram-kelvin relationship, retained with its published standard uncertainty.

The 2022 CODATA recommended value of lattice parameter of silicon, retained with its published standard uncertainty.

The 2022 CODATA recommended value of lattice spacing of ideal Si (220), retained with its published standard uncertainty.

The 2022 CODATA recommended value of Loschmidt constant (273.15 K, 100 kPa), retained with its published standard uncertainty.

The 2022 CODATA recommended value of Loschmidt constant (273.15 K, 101.325 kPa), retained with its published standard uncertainty.

The 2022 CODATA recommended value of luminous efficacy, retained with its published standard uncertainty.

The 2022 CODATA recommended value of mag. flux quantum, retained with its published standard uncertainty.

The 2022 CODATA recommended value of molar gas constant, retained with its published standard uncertainty.

The 2022 CODATA recommended value of molar mass constant, retained with its published standard uncertainty.

The 2022 CODATA recommended value of molar mass of carbon-12, retained with its published standard uncertainty.

The 2022 CODATA recommended value of molar Planck constant, retained with its published standard uncertainty.

The 2022 CODATA recommended value of molar volume of ideal gas (273.15 K, 100 kPa), retained with its published standard uncertainty.

The 2022 CODATA recommended value of molar volume of ideal gas (273.15 K, 101.325 kPa), retained with its published standard uncertainty.

G key/value groups interpolate cache size between multi-query and full multi-head attention.

Largest object size accepted by FAT32's 32-bit file-size field.

Physical-format file-size ceiling; operating-system implementation ceilings are separately versioned.

Largest file length representable by exFAT's 64-bit data-length field.

Maximum UDF file size listed by the Microsoft filesystem functionality specification.

A critical-density Gabor Riesz basis cannot have a window well localized in both time and frequency.

IO-aware tiling computes exact attention without materializing the quadratic score matrix.

HBM traffic is asymptotically optimal over the SRAM-size range analyzed in the paper.

TCP source-port field width is 16 bits under the RFC 9293 TCP header.

TCP destination-port field width is 16 bits under the RFC 9293 TCP header.

TCP sequence-number field width is 32 bits under the RFC 9293 TCP header.

TCP acknowledgment-number field width is 32 bits under the RFC 9293 TCP header.

TCP receive-window field width is 16 bits under the unscaled RFC 9293 TCP header. The RFC 7323 Window Scale extension is excluded.

TCP checksum field width is 16 bits under the RFC 9293 TCP header.

TCP MSS value-field width is 16 bits under the mandatory four-byte RFC 9293 TCP MSS option.

Default TCP MSS for IPv4 is 536 bytes under RFC 9293 TCP over IPv4 when no MSS option is received. The value is derived as 576 minus 40 header bytes.

Default TCP MSS for IPv6 is 1220 bytes under RFC 9293 TCP over IPv6 when no MSS option is received. The value is derived as 1280 minus 60 header bytes.

Dated high-mass pulsar measurement; it constrains but does not equal the universal neutron-star maximum.

Empirical compute-optimal parameter and token allocation for the model families and data regime studied in 2022.

QUIC minimum supported datagram size is 1200 bytes under a network path carrying QUIC version 1. This is UDP payload size, excluding IP and UDP headers.

QUIC variable-length integer maximum is 4611686018427387903 dimensionless under the QUIC version 1 variable-length integer format. Eight-byte encodings contain 62 usable value bits.

QUIC v1 connection-ID maximum length is 20 bytes under Source and Destination Connection IDs in a QUIC version 1 long header.

QUIC stateless-reset-token length is 16 bytes under a QUIC version 1 stateless reset token.

QUIC default maximum UDP payload is 65527 bytes under the omitted QUIC version 1 max_udp_payload_size transport parameter. This endpoint receive limit is not a path MTU, and values below 1,200 are invalid.

Exact minimum hidden width for universal Lp approximation under the paper's ReLU architecture.

Fully connected ReLU networks no wider than the input dimension fail universal approximation.

Empirical neural language-model loss scaling with model size, dataset size, and compute in the studied regime.

A single shared key/value head makes per-layer KV cache linear in context length and head width, independent of query-head count.