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5019 bytes, as of the version from 2026-10-27 01:11 (current). Recorded here, not run.
{
"tid": "T492",
"kind": "struveh",
"rationale": "The order-zero and order-one Struve functions occurring in the integral of J0 are evaluated at six isolated critical arguments each and at their continuous origin values. Each critical argument is the unique derivative zero in its stated rational interval. The labels enumerate this finite selection, not a claimed global zero count. No stationary points are assumed to exist for other orders.",
"unresolved": "No external application is asserted for these individual extremal heights; their relevance is intrinsic.",
"sources": [
"https://dlmf.nist.gov/11.2",
"https://dlmf.nist.gov/11.4",
"https://dlmf.nist.gov/10.22.E2"
],
"rows": [
{
"params": {
"nu": "0",
"x": "0"
},
"argument": "0",
"reason": "Continuous initial value, not a sampling argument."
},
{
"params": {
"nu": "0",
"x": "critical-1"
},
"argument": "critical",
"bracket": [
"2025/1024",
"1013/512"
],
"label": "$c_{1}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "0",
"x": "critical-2"
},
"argument": "critical",
"bracket": [
"5619/1024",
"1405/256"
],
"label": "$c_{2}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "0",
"x": "critical-3"
},
"argument": "critical",
"bracket": [
"4385/512",
"8771/1024"
],
"label": "$c_{3}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "0",
"x": "critical-4"
},
"argument": "critical",
"bracket": [
"12051/1024",
"3013/256"
],
"label": "$c_{4}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "0",
"x": "critical-5"
},
"argument": "critical",
"bracket": [
"1905/128",
"15241/1024"
],
"label": "$c_{5}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "0",
"x": "critical-6"
},
"argument": "critical",
"bracket": [
"18487/1024",
"2311/128"
],
"label": "$c_{6}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "1",
"x": "0"
},
"argument": "0",
"reason": "Continuous initial value, not a sampling argument."
},
{
"params": {
"nu": "1",
"x": "critical-1"
},
"argument": "critical",
"bracket": [
"929/256",
"3717/1024"
],
"label": "$c_{1}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "1",
"x": "critical-2"
},
"argument": "critical",
"bracket": [
"7119/1024",
"445/64"
],
"label": "$c_{2}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "1",
"x": "critical-3"
},
"argument": "critical",
"bracket": [
"10361/1024",
"5181/512"
],
"label": "$c_{3}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "1",
"x": "critical-4"
},
"argument": "critical",
"bracket": [
"13607/1024",
"1701/128"
],
"label": "$c_{4}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "1",
"x": "critical-5"
},
"argument": "critical",
"bracket": [
"16833/1024",
"8417/512"
],
"label": "$c_{5}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
},
{
"params": {
"nu": "1",
"x": "critical-6"
},
"argument": "critical",
"bracket": [
"20061/1024",
"10031/512"
],
"label": "$c_{6}$",
"reason": "Intrinsic extremal height; the index labels the specified isolating interval, not a global zero count."
}
]
}