Hexagram 39蹇Obstruction
Mountain below, water above — the obstacle is ahead and the danger is above it. The discipline is not heroic push but strategic reading: which direction is receptive (the southwest), which is hostile (the northeast), and which senior can adjudicate or sponsor the bypass. The hexagram rewards the actor who finds the different geometry, not the one who breaks themselves against the wall.
60-second read
Obstruction is the hexagram for the moment when the path forward is genuinely blocked and the discipline is to stop reading the obstacle as a test of willpower. The hexagram statement is directional rather than tactical: advantage in the southwest, disadvantage in the northeast, advantage in seeing the great person, firm-correctness fortunate. Three of the six lines repeat the same instruction — 往蹇 (going advances difficulty) — and pair it with 來 (returning, uniting, gaining). The work is to read which geometry is favourable, find the senior who can sponsor the bypass, and refuse the repeated push against the wall.
The hexagram
蹇:利西南,不利東北,利見大人,貞吉。
Obstruction: advantageous in the southwest, disadvantageous in the northeast. Advantageous to see the great person. Firm-correctness, fortune. — Translation by YiGram Editorial from the classical Chinese
“In (the state indicated by) Chien advantage will be found in the south-west, and the contrary in the north-east. It will be advantageous (also) to meet with the great man. (In these circumstances), with firmness and correctness, there will be good fortune.”
— James Legge, The Sacred Books of the East: The I Ching (1882), public domain.
The six lines
Click any line on the hexagram to read its passage. Use ↑ and ↓ after focusing the hexagram to step through the six positions.
往蹇,來譽。
Going advances difficulty. Returning earns praise.
“From the first SIX, divided, we learn that advance (on the part of its subject) will lead to (greater) difficulties, while remaining stationary will afford ground for praise.”
— Legge (1882)
Line 1 is the yin at the bottom of the lower trigram of mountain and the first line where the hexagram’s controlling instruction shows up: 往蹇 — going advances difficulty. The actor at the floor of the obstacle has the option to take the first step and is being explicitly told that the first step in the direct direction will not break the obstruction; it will only commit resources that will be needed later. The corrective is the line’s second clause — 來譽, returning earns praise — which is unusually generous for a line that names no positive action.
In a decision context this is the line for the operator who notices the wall before anyone else does and is being told that the praise here is the praise of restraint rather than the praise of effort. The temptation at line 1 is to be the first mover into the obstruction, the founder who pushes the rejected partnership one more time, the executive who reopens the closed deal because they were closest to it. The line is explicit. The praise belongs to the actor who reads the obstruction correctly at the floor and refuses to spend resources testing what the hexagram has already told them about the geometry. The most valuable move at line 1 is the move not made.
王臣蹇蹇,匪躬之故。
The king’s minister struggles, difficulty upon difficulty — not for his own sake.
“The second SIX, divided, shows the minister of the king struggling with difficulty on difficulty, and not with a view to his own advantage.”
— Legge (1882)
Line 2 is the centred yin in the lower trigram and the only line in the hexagram that names a struggle the actor cannot decline. 王臣 — the king’s minister — carries an institutional obligation that line 1’s strategic restraint does not relieve. 蹇蹇 doubles the obstruction character: difficulty upon difficulty. The corrective is the qualifying clause 匪躬之故 — not for the body’s own sake. The line is the hexagram’s honest acknowledgement that some actors must enter the obstruction because the office requires it, not because the timing favours them.
For decision-makers this is the line of the CEO who has to take the regulatory meeting the board would rather avoid, the founder who has to absorb the customer escalation that has nowhere else to go, the executive who has to deliver the layoff message that the institution has already committed to. The instruction is twofold. First, the work must be done; line 2 is not granting the option of strategic retreat that line 1 named. Second, the work must be done explicitly on behalf of the institution rather than for the actor’s own gain. The line carries no explicit fortune marker, which is significant. The hexagram is honest that the centred minister’s difficulty is a structural obligation rather than a path to reward, and that the dignity of the position consists in carrying the obstruction for reasons larger than the actor.
往蹇來反。
Going advances difficulty. Returning to one’s own.
“The third NINE, undivided, shows its subject advancing, (but only) to (greater) difficulties. He remains stationary, and returns (to his former associates).”
— Legge (1882)
Line 3 is the only yang in the lower trigram and the line where the actor’s capacity to push is highest — which is precisely why the instruction repeats: 往蹇 again, going advances difficulty. The corrective is 來反 — returning to the former associates, returning to the base, returning to the position the actor occupied before the obstruction tempted them to advance. The hexagram is using the strongest position in the lower trigram to make its sharpest case for not pushing.
For decision-makers this is the line of the senior operator who has the political capital to attempt the obstruction and is being told that the capital is more valuable held in reserve than spent on the wall. The temptation at line 3 is the most expensive in the hexagram. Founders who push here typically discover that the resources they thought were sufficient for the advance were sufficient only for the optimistic case, and that the realistic case requires more reach than the position can underwrite. The return-to-the-associates instruction is not retreat in the line-1 sense; it is reconvening the people who can reassess the geometry with the actor and recommend the southwest direction the hexagram statement pointed at. Line 3 is the line of the strong actor whose strength is best deployed in the consultation rather than the assault.
往蹇來連。
Going advances difficulty. Returning unites with what is above.
“The fourth SIX, divided, shows its subject advancing, (but only) to (greater) difficulties. He remains stationary, and unites (with the subject of the line above).”
— Legge (1882)
Line 4 is the entry-line of the upper trigram of water — the line where the actor has crossed into the danger zone and is being told for the third time that the direct advance is the wrong move. The third repetition of 往蹇 is the hexagram’s signature. The corrective shifts. 來連 — returning unites — names not a return to the base (line 1) or to the associates (line 3) but a structural connection upward to line 5, the great-person seat. The line is preparing the actor to ally with the ruler rather than to act independently inside the obstruction.
For decision-makers this is the line of the operator who has been brought into the senior conversation but does not yet hold the authority to resolve the obstruction unilaterally. The instruction is to recognise the ceiling and to use it. The line-4 actor who tries to solve the obstacle on their own authority discovers that the authority does not extend that far; the line-4 actor who connects upward to the line-5 great person discovers that the obstruction has a sponsor who can underwrite the bypass. Read against the hexagram statement’s 利見大人 — advantage in seeing the great person — line 4 is the operational position from which the great-person instruction becomes specific: align with the senior who is positioned to adjudicate, and do not attempt to advance without the alignment.
大蹇朋來。
Great obstruction. Friends arrive.
“The fifth NINE, undivided, shows its subject struggling with the greatest difficulties, while friends are coming to help him.”
— Legge (1882)
Line 5 is the ruler line and the only place in the hexagram where the obstruction is named as 大蹇 — the great obstruction. The position carries the heaviest difficulty in the reading. The corrective is structurally precise. 朋來 — friends arrive. The hexagram statement’s great person is in this seat, and the line names the consequence: alignment from the other positions converges on the centred-correct ruler precisely because the ruler is the great person the lower lines are seeing.
For decision-makers this is the line of the senior executive whose role is to hold the centre of a difficulty that no individual position can resolve and to be the figure around which the support coalesces. The decision-relevant translation is twofold. If you are a lower line, the instruction is to actually become one of the arriving friends — to commit to the line-5 actor explicitly, to align resources with their reading of the obstruction, to refuse the temptation to negotiate independently with the obstacle. If you are the line-5 ruler, the instruction is to be the centred-correct figure around which alignment can form, and to recognise that the arriving friends are the structural exit from the great obstruction. Line 5 does not name an explicit fortune marker because the fortune is the structural fact of the convergence itself.
往蹇來碩,吉,利見大人。
Going advances difficulty. Returning brings great merit. Fortune. Advantageous to see the great person.
“The topmost SIX, divided, shows its subject going forward only to increase the difficulties, while remaining stationary will be productive of great (merit). There will be good fortune, and it will be advantageous to meet with the great man.”
— Legge (1882)
Line 6 is the topmost line and the hexagram’s most generous outcome. 往蹇 appears for the fourth and final time, and the corrective is 來碩 — returning brings substantial, great, abundant merit. The line then names an unconditional 吉, fortune, and repeats the hexagram statement’s 利見大人 — advantage in seeing the great person. The structure is unusual: a top line that recapitulates the controlling instruction of the entire hexagram and rewards the actor who has finally absorbed the lesson.
For decision-makers this is the line of the senior figure who has been close enough to the obstruction long enough to know that one more advance produces nothing the actor can use, and who returns with the wisdom that constitutes the substantial merit. The 碩 character is significant. It is not just merit but solid, weighty, substantial merit — the kind that compounds across subsequent decisions because the actor has actually internalised the geometry. The repeated great-person instruction at the top line forms a structural envelope with the hexagram statement: the great person is named at the opening, named again at the close, and the lines in between are the work of getting to a position from which seeing the great person actually becomes possible. Read with Hexagram 40 — Deliverance — line 6 is the threshold across which the obstruction releases into the next phase. The actor who reaches the top of 39 carrying the right reading is the actor for whom 40 becomes available.
PostureObstacle ahead · the different geometry
Obstruction places Mountain (艮, Gen) below and Water (坎, Kan) above. The mountain ahead is the static obstacle the actor can see; the water above is the danger that may descend through it. Read together the two trigrams compose the picture the character 蹇 itself draws: an actor who cannot walk forward in the ordinary way and must move with care — the limp from which the hexagram takes its name. The Tuan compresses the working posture into a single phrase: 見險而能止,知矣哉 — seeing peril and being able to stop, that is knowledge. The hexagram rewards the actor who can pause at the threshold rather than the one who interprets every obstacle as a test of resolve.
The hexagram statement is unusually directional. 利西南,不利東北 — advantageous in the southwest, disadvantageous in the northeast. In the early Chinese symbolic geography the southwest is the trigram Kun (earth, receptive, supportive terrain), the northeast is the trigram Gen (mountain, unmoving, immovable obstacle). The hexagram is not asking the actor to push harder against the northeast wall; it is naming the wall as a wall and pointing at the receptive ground that lies in the other direction. The discipline is the strategic reading of which direction is geometry rather than obstacle. The work of 39 is to find the different shape of the problem — the bypass, the patient sponsor, the southwest path that the obstruction itself has forced the actor to see.
The second half of the hexagram statement names the operational exit. 利見大人,貞吉 — advantageous to see the great person, firm-correctness fortunate. The great person is the senior whose authority can underwrite the bypass that no individual lower line can secure independently, and the line texts confirm the seat by naming大蹇朋來 at line 5 — great obstruction, friends arrive. The Xiang commentary then makes the inward correlate explicit: 君子以反身修德 — the noble person accordingly turns inward to refine virtue. The hexagram pairs the outward search for the great person with the inward work of becoming the kind of actor for whom the great person becomes visible. Both halves of the discipline are required.
Failure modesRepeated push (lines 1/3/4 'going advances difficulty')
The dominant failure mode is the repeated push. Four of the six lines (1, 3, 4, 6) open with 往蹇 — going advances difficulty — and the repetition is the hexagram’s structural warning. The instruction is not being given once for an actor who might miss it; it is being given four times for an actor who is likely to ignore it at each position and to keep pushing because each position feels slightly different from the last. The line-3 push is the most expensive — the strong yang spending political capital against the wall — and the line-4 push is the most tempting because the actor has crossed into the upper trigram and feels closer to the resolution than they actually are.
The secondary failure mode is the inverse: refusing the line-4 alignment upward to the line-5 great person because the actor reads the alignment as dependency rather than as structural exit. The hexagram statement is explicit that 利見大人 — advantage in seeing the great person — is the operational instruction, and line 5 is explicit that 朋來 — friends arrive — only when the lower lines actually align. Founders who treat the great-person seat as compromise of independence typically rediscover the line-3 wall as a result and pay the cost of the push they had already been told not to make. The two failures share a root: an actor who reads the obstruction as a test of personal capacity rather than as a structural geometry that the hexagram has already mapped.
Application & adjacentQuestion shape · Hexagram 40 pair · Reading the favourable direction
A note on the question shape this hexagram answers best. Obstruction rewards questions framed around a specific obstacle that the actor has already encountered and is now deciding how to respond to — a regulatory blocker, a stalled negotiation, a partnership that has hit a structural wall, a hire who cannot be closed at the offered terms. It is less useful for vague questions about whether a venture will succeed; for that question, re-read with Hexagrams 3 — Sprouting — or 4 — Youthful Folly — depending on whether the question is about early-stage chaos or about inexperience. Obstruction presumes the obstacle is real and visible. The hexagram is the instruction layer for what to do once the wall has been identified.
The canonical adjacent reading is Hexagram 40 — Deliverance — the structural release that follows correctly-read obstruction. Where 39 names the discipline of stopping at the wall and reading the southwest direction, 40 names the moment when the tension has been correctly held long enough that the obstruction releases and decisive movement becomes possible. The two hexagrams form one of the cleanest consecutive pairs in the King Wen sequence: the obstacle and the deliverance, the holding and the release, the centred difficulty and the swift correction. Read with the Xiang’s prescription — 反身修德, turn inward to refine virtue — the pair tells the complete arc: in Hexagram 39 you do the inward work that makes the favourable direction visible; in Hexagram 40 you act swiftly when the geometry releases. Founders and executives who hold both hexagrams together tend to push less and execute more cleanly when the opening comes.
Reading the favourable direction is the hexagram’s most practical operational instruction. The southwest in the hexagram statement is not literal geography; it is the receptive terrain — the customer segment that is open, the regulator who is curious rather than hostile, the partner who is asking to extend the conversation. The northeast is the blocker the actor has been pushing against. The discipline is to actually redirect resources from the northeast to the southwest and to do so explicitly rather than as a quiet accommodation. The line-5 great person is the figure who can authorise the redirection at the institutional scale; the line-4 alignment upward is how a lower-line actor activates the great-person seat. Together the hexagram’s working instruction is precise: stop pushing, identify the receptive geometry, secure the senior sponsor, and let the alignment produce the bypass that the direct push could never have opened.
SynthesisYiGram Editorial
Each Western line of reading approaches Obstruction from a different angle. James Legge transliterates 蹇 as “Chien” and frames the hexagram within his Confucian moral lens — the canonical instruction against forcing advance into difficulty and the political reading of the great person as the centred sovereign whose authority underwrites the resolution. Richard Wilhelm’s symbolic-philosophical posture reads the hexagram as “Obstruction” in the more general sense — the great image of water on the mountain and the discipline of inward refinement as the proper response to an outer wall. A reading in the lineage of Carl Jung’s 1949 foreword would treat 39 as a marker of the psyche encountering a structural limit that cannot be willed through, with the great person at line 5 representing the Self whose centred-correctness is the only ground on which the inner alignment becomes possible. Bradford Hatcher’s linguistic project (below) abandons all three framings and returns to the semantic field of 蹇 itself — impediment, hindrance, the closed mountain pass, the convoluted route, the necessary reorientation. None of these readings is quoted on this page; the synthesis is YiGram Editorial’s characterization of each tradition’s posture, written so a reader can triangulate the field without us reproducing copyrighted text.
Reception historyLegge · Wilhelm · Baynes · Jung
The Western reception of the I Ching has two main lines. The first is James Legge’s 1882 missionary translation in the Sacred Books of the East series — methodical, Victorian, framed around Confucian moral readings. It is the public-domain anchor reproduced above. The second is Richard Wilhelm’s 1923 German translation, prepared in Qingdao in collaboration with Lao Naixuan — sympathetic, philosophical, closer to Daoist intuitions. Cary F. Baynes rendered Wilhelm into English in 1950, with a foreword by Carl Jung that introduced the book to Western psychology as a window onto synchronicity and the unconscious.
We cite these two lines by name to credit the reception history and to help search systems and readers resolve the entities; the Wilhelm/Baynes text itself and Jung’s foreword remain in copyright and are not quoted on this page. A more recent academic-linguistic line is represented by Bradford Hatcher’s Yijing project (1990s–2010s), which appears in the next section under his explicit redistribution permission.
Bradford HatcherVerbatim · © 2011
Hatcher organizes each hexagram around six short clusters of keywords that sketch the field of decision and association the Chinese name opens onto. For Hexagram 39 蹇, his clusters are:
Impediment, delay, detour, complication, inconvenience, drawback, immobility Hindrance, holdup, barrier, obstruction, obstacle, interruption, discouragement Discontent, stationary period; convoluted route, reorientation; options narrowing A closed mountain pass, waiting out the storm; lowering expectations and goals Redefine goals for achievability; detoured but not deterred; ability to compensate Knowing when to stop, consolidate progress to date, rethink directions and plans
Hatcher’s framing is vocabulary-centred rather than narrative — the reader is invited to feel the semantic shape of the Chinese name through the spread of English fragments. For his longer notes and the full glossary entry, read the complete passage on hermetica.info.
Quoted verbatim from Bradford Hatcher, Yijing Hexagram Names and Core Meanings (Version 12.1, 2011), hermetica.info/GuaMing.htm. © Bradford Hatcher, 2011. Reproduced under the author’s explicit permission to redistribute his work intact, with copyright notice. Bradford Hatcher (d. June 2020); site maintained to preserve his work.
SynthesisYiGram Editorial
Read across the four Chinese traditions, Hexagram 39 names a very specific working posture: a genuine obstacle ahead, danger above it, and the discipline of stopping at the wall long enough to read the favourable direction rather than spending resources on the direct push. The Wings give the canonical reading: peril is ahead and the knowledge consists in being able to stop; the southwest gains the centre; the northeast is exhausted as a path; the great person makes the going meritorious. Wang Bi sharpens the structural reading: the repeated 往蹇 across four lines is not rhetorical emphasis but the explicit warning that the instruction must be re-learned at each position the actor occupies. Zhu Xi reframes the hexagram around the line-5 great person whose centred-correctness is the structural ground for the lower lines’ alignment, and stresses that the arriving friends at 朋來 are the cooperative response that the obstruction itself requires. The divinatory manual Bushi Zhengzong reads 39 strictly as the marker for active blockage — the regulatory obstacle, the stalled partnership, the wall that has actually appeared in the actor’s path — not as commentary on whether the actor’s ambition is correct. The unified posture across all four sources is the same: Obstruction is a discipline for reading the geometry of a real obstacle, refusing the repeated push, and finding the senior whose authority underwrites the southwest bypass.
Yi ZhuanTuan + Xiang · Ten Wings
The Ten Wings are the canonical Confucian commentary stratum embedded in the received Yijing. For Hexagram 39 the two most directly relevant Wings are the Tuan Zhuan (彖傳, the Judgement Commentary) and the Xiang Zhuan (象傳, the Image Commentary).
Tuan 彖傳: 蹇,難也,險在前也。見險而能止,知矣哉。蹇利西南,往得中也。不利東北,其道窮也。利見大人,往有功也。當位貞吉,以正邦也。蹇之時用大矣哉。
Obstruction: difficulty — peril is ahead. Seeing peril and being able to stop — that is knowledge! “Obstruction, advantageous in the southwest” — going there one gains the centre. “Disadvantageous in the northeast” — that path is exhausted. “Advantageous to see the great person” — going has merit. Holding correct position, firm-correct fortune — by correcting the state. Vast indeed is the timely use of Obstruction.
Xiang 象傳: 山上有水,蹇。君子以反身修德。
Water on the mountain — Obstruction. The noble person accordingly turns inward to refine virtue.
The Tuan does the directional work: the southwest gains the centre, the northeast exhausts the path, and the great-person seat makes the going meritorious. The same Wing names the hexagram’s most distinctive epistemic claim — 見險而能止,知矣哉, seeing peril and being able to stop is knowledge — which reframes the obstacle not as a problem of will but as a problem of perception. The Xiang compresses the inward correlate into a four-character ethical instruction: 反身修德 — turn inward, refine virtue — treating the obstruction itself as the structural occasion for inner work. Translations by YiGram Editorial from the classical Chinese.
Classical commentariesWang Bi · Zhu Xi · Bushi Zhengzong
Wang Bi (Zhouyi Zhu, 3rd century) reads Hexagram 39 as a hexagram organised around the repeated 往蹇 instruction at lines 1, 3, 4, and 6. For Wang Bi the structural point is that the instruction has to be given four times because each position offers a different temptation to interpret the obstacle as a test of capacity rather than as a structural geometry. The pairing of 往蹇 with 來 at each position — returning earns praise, returning to one’s own, returning unites, returning brings substantial merit — is the hexagram’s explicit mapping of the rewards available at each scope of restraint.
Zhu Xi (Zhouyi Benyi, 1188) reframes the hexagram around the line-5 great person — the centred firm position whose authority is the only structural ground on which the lower lines’ restraint becomes productive rather than passive. For Zhu Xi the 朋來 at line 5 is the hexagram’s central image of cooperative response: the friends arrive because the great person at the centre has made the alignment possible, and the alignment is what actually carries the obstruction past its great-difficulty phase. The hexagram statement’s repeated 利見大人 — at the opening and at line 6 — brackets the entire reading inside the great-person frame.
The Bushi Zhengzong (Qing-dynasty divinatory manual, 1709) reads 39 practically: a hexagram drawn in answer to a question about an active obstruction — a regulatory wall, a stalled partnership, a hire that cannot be closed, a negotiation that has hit a structural ceiling. The manual is explicit that 39 is not commentary on whether the actor’s goal is correct; the cast applies whether the obstruction is fair or unfair, deserved or accidental. The practical recommendation tracks the line position the question lands at: refuse the push at line 1; carry the institutional obligation at line 2; spend the strong yang in consultation rather than assault at line 3; align upward at line 4; hold the centred seat at line 5; and at line 6 absorb the substantial merit of an actor who has finally internalised the geometry.
Translations and paraphrase by YiGram Editorial from the classical Chinese. We do not reuse any modern third-party English rendering of these commentaries.
These method notes are not required to read the hexagram. They organize the traditional six-line structure for readers who want to see the rule layer beneath the plain-language reading.
Palace: Dui (lake / metal), 4th-generation (兌宫四世). Binary, bottom-up: 001010. Lower trigram: Gen (mountain). Upper trigram: Kan (water). Shi line: 4. Ying line: 1.
The line branches, bottom-up, follow the Gen-below / Kan-above najia composition for Obstruction: 辰 (line 1), 午 (line 2), 申 (line 3), 申 (line 4), 戌 (line 5), 子 (line 6). Read against the Dui palace, whose element is metal, the six-relatives assignments are: line 1 辰 (earth) — parents (父母); line 2 午 (fire) — officials (官鬼); line 3 申 (metal) — siblings (兄弟); line 4 申 (metal) — siblings (兄弟); line 5 戌 (earth) — parents (父母); line 6 子 (water) — offspring (子孫).
The shi line at position 4 carries siblings (申, metal), the same element as the Dui palace itself — the actor stands in a position structurally identical to the palace’s own nature, which is what makes the line-4 alignment-upward instruction possible: the actor and the great person at line 5 share the same elemental ground. The ying line at position 1 carries parents (辰, earth), the element that generates the palace’s own metal. Read as a structural pair, the shi-ying axis of Obstruction says that the actor occupies the palace’s native position while the receiving position is the generative ground beneath it. The structural correlate of the Xiang’s 反身修德: the inward refinement is rooted in the generative position one rung beneath the actor’s standing.
For a cast, this static layer records the palace, generation label, shi and ying positions, each line's branch and six-relative, moving-line positions, transformed hexagram, and the use-spirit selected by question category. The public page keeps that structure as a method note rather than as default reading text.
Audit status: unaudited_draft. The static-layer tables are pulled from the standard 京房纳甲 sequence and have not yet been cross-checked against the three reference texts named in the methodology. Errors should be reported against the v0.1.0 rule version in the GitHub rules directory.
For the full pipeline (how the static layer reaches the AI interpretation), see Methodology → Najia engine.
Sources
- Classical text of the Yijing (周易) — hexagram and line statements (卦辭 / 爻辭) from the received Zhou-dynasty edition. Public domain.
- James Legge, The Sacred Books of the East, Vol. XVI: The Yi King, Oxford University Press, 1882. Public domain.
- Zhu Xi (朱熹), Zhouyi Benyi (周易本義), 1188. Public domain.
- Wang Bi (王弼), Zhouyi Zhu (周易注), 3rd century. Public domain.
- Bushi Zhengzong (卜筮正宗), Qing-dynasty divinatory manual, 1709. Public domain.
- Tuan Zhuan (彖傳) and Xiang Zhuan (象傳), two of the Ten Wings (十翼). Public domain.
- Bradford Hatcher, Yijing Hexagram Names and Core Meanings (Version 12.1, 2011). © Bradford Hatcher, 2011. Reproduced under the author’s explicit permission to redistribute his work intact, with copyright notice; this page quotes the “Key Words” subsection only and links readers to the full original for the longer notes. Bradford Hatcher (d. June 2020).
All Chinese-to-English translations on this page are by YiGram Editorial, working directly from the classical Chinese. We do not reuse third-party modern English translations of any of the listed Chinese sources. Read the full source policy in the methodology page.
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