Sale!
  • Mathematical analysis and forecasting model for the 19th round on German 2. Bundesliga ( Season 2025-2026) via the Harmony-Stability protocol

Mathematical analysis and forecasting model for the 19th round on German 2. Bundesliga ( Season 2025-2026) via the Harmony-Stability protocol

Original price was: 1,00 €.Current price is: 0,00 €.

In modern era on sports analyses the intersection point between statistics and probability modeling offers unprecedented clarity at the assessment on risk . The present report represents comprehensively research on the 19th round from the German 2. Bundesliga for season 2025-2026, using the specialized mathematical protocol on Kara – Yours guardian angel when betting. 1 The analysis is founded on strict computational algorithm that​ eliminates emotional bias and focus attention on the indicators for strength , stability and harmony. 1

Description

Mathematical analysis and forecasting model for the 19th round on German 2. Bundesliga ( Season 2025-2026) via the Harmony-Stability protocol

In modern era on sports analyses the intersection point between statistics and probability modeling offers unprecedented clarity at the assessment on risk . The present report represents comprehensively research on the 19th round from the German 2. Bundesliga for season 2025-2026, using the specialized mathematical protocol on Kara – Yours guardian angel when betting. 1 The analysis is founded on strict computational algorithm that​ eliminates emotional bias and focus attention on the indicators for strength , stability and harmony. 1

Theoretical framework and methodology

Any calculation follows eight-stage hierarchical model , defined in the “Master Template” file :

  1. Strength on the attack ($AS$): Meeting from the percentage wins , percentage lost and the average number scored goals on match ($W\% + L\% + GF _{ Avg }$).
  2. Strength on protection ($DS$): Reciprocal value on the difference between wins and losses , adjusted for the results goals ($1 / (W\% – L\% + GA _{ Avg })$).
  3. Expected goals ($ xG $): Average arithmetically from the attack on the one team and defense on the opponent .
  4. Probabilities : Application on Poisson distribution for generation on probabilities for 1, X and 2.
  5. Stability ($K$): Coefficient on variation on probabilities , scaled by 1.67 ( limit 0.99).
  6. Index Equality ($L$): The absolute balance difference​ between offensive and defensive potential on the two the team .
  7. Harmony Index ($HI$): The final assessment for risk : $HI = (2 / K) + (1 / (1 – L) )$ .

Current 2. Bundesliga standings ( as of January 19, 2026)

Position Team MP WDL Goals Points
1 Schalke 04 18 12-2-4 22:10 38
2 Elversberg 18 10-4-4 33:18 34
3 Darmstadt 98 17 9-6-2 29:17 33
4 Paderborn 07 17 10-3-4 28:18 33
5 Kaiserslautern 17 8-3-6 29:21 27
6 Hannover 96 17 8-5-4 30:22 29
7 Hertha Berlin 18 8-5-5 21:16 29

Analysis on the matches from the 19th round

  1. Darmstadt 98 vs. 1. FC Nuremberg (23.01.2026)

Darmstadt ($W=9, D=6, L=2$) is in excellent series , while Nuremberg suffers from impermanence .

  • Strengths : $AS _{ Home} = 2.36$, $DS_{Home} = 0.71$; $AS_{Away} = 2.00$, $DS_{Away} = 0.72$.
  • Probabilities : 1: 43%, X: 26%, 2: 31%.
  • Indices : $K = 0.36$, $L = 0.35$.
  • Harmony Index: 7.09.
  • Verdict V3: 0.12. Prediction : 1 .
  1. Arminia Bielefeld against Holstein Kiel (23.01.2026)

Derby on teams from the lower one half . Arminia there is advantage in direct fights in the past .

  • Powers : $AS_ { Home} = 2.28$, $DS_{Home} = 0.85$; $AS_{Away} = 1.94$, $DS_{Away} = 0.86$.
  • Probabilities : 1: 41%, X: 27%, 2: 32%.
  • Indices : $K = 0.29$, $L = 0.33$.
  • Harmony Index: 8.39.
  • Verdict V3: 0.09. Prediction : 1X .
  1. Greuther Fürth against Eintracht Braunschweig (24.01.2026)

Fürth there is the most permeable defense (46 goals ), which them does vulnerable .

  • Strengths : $AS_ { Home} = 2.27$, $DS_{Home} = 0.46$; $AS_{Away} = 2.00$, $DS_{Away} = 0.65$.
  • Probabilities : 1: 44%, X: 26%, 2: 30%.
  • Indices : $K = 0.38$, $L = 0.08$.
  • Harmony Index: 6.35.
  • Verdict V3: 0.14. Prediction : 1 .
  1. Hannover 96 vs. Fortune Düsseldorf (24.01.2026)

Hanover is strong host , and Düsseldorf there is only 16 scored naked for the whole season .

  • Strengths : $AS _{ Home} = 2.44$, $DS_{Home} = 0.65$; $AS_{Away} = 1.78$, $DS_{Away} = 0.79$.
  • Probabilities : 1: 47%, X: 24%, 2: 29%.
  • Indices : $K = 0.50$, $L = 0.52$.
  • Harmony Index: 6.08.
  • Verdict V3: 0.18. Prediction : 1 .
  1. Karlsruhe against Hertha Berlin (24.01.2026)

Hertha owns one from the most stable defenses in the league ( only 16 goals ).

  • Strengths : $AS_ { Home} = 2.28$, $DS_{Home} = 0.55$; $AS_{Away} = 1.89$, $DS_{Away} = 0.95$.
  • Probabilities : 1: 47%, X: 24%, 2: 29%.
  • Indices : $K = 0.50$, $L = 0.01$.
  • Harmony Index: 5.01.
  • Verdict V3: 0.18. Prediction : 1 .
  1. Magdeburg against Dynamo Dresden (24.01.2026)

Statistical equivalent high- stakes match potential for division on the points .

  • Strengths : $AS _{ Home} = 2.22$, $DS_{Home} = 0.72$; $AS_{Away} = 2.22$, $DS_{Away} = 0.65$.
  • Probabilities : 1: 36%, X: 27%, 2: 37%.
  • Indices : $K = 0.23$, $L = 0.07$.
  • Harmony Index: 9.78.
  • Verdict V3: -0.01. Forecast : X .
  1. Elversberg against Bochum (25.01.2026)

The hosts are the second most effective attack (33 goals ).

  • Strengths : $AS_ { Home} = 2.61$, $DS_{Home} = 0.75$; $AS_{Away} = 2.21$, $DS_{Away} = 0.78$.
  • Probabilities : 1: 44%, X: 24%, 2: 32%.
  • Indices : $K = 0.41$, $L = 0.37$.
  • Harmony Index: 6.47.
  • Verdict V3: 0.12. Prediction : 1 .
  1. Paderborn 07 vs. Prussian Munster (25.01.2026)

Paderborn is the favorite , struggling is for the frontal places in the table .

  • Strengths : $AS_ { Home} = 2.40$, $DS_{Home} = 0.72$; $AS_{Away} = 1.94$, $DS_{Away} = 0.71$.
  • Probabilities : 1: 43%, X: 26%, 2: 31%.
  • Indices : $K = 0.36$, $L = 0.45$.
  • Harmony Index: 7.37.
  • Verdict V3: 0.12. Prediction : 1 .
  1. Schalke 04 vs. Kaiserslautern (25.01.2026)

The leader Schalke accepts the ” reds” devils ” in direct collision . Statistics on Kaiserslautern is better in attack , which balances the match .

  • Strengths : $AS _{ Home} = 2.11$, $DS_{Home} = 0.99$; $AS_{Away} = 2.61$, $DS_{Away} = 0.72$.
  • Probabilities : 1: 28%, X: 23%, 2: 49%.
  • Indices : $K = 0.57$, $L = 0.23$.
  • Harmony Index: 4.81.
  • Verdict V3: -0.21. Prediction : 2 .

Summarizing table on the forecasts

Meeting xG (H:A) Forecasted exit Verdict HI Coefficient
Darmstadt – Nuremberg 1.54 : 1.35 1 1 7.09 1.82
Arminia – Kiel 1.57 : 1.40 1X 1X 8.39 2.24
Fürth – Braunschweig 1.46 : 1.23 1 1 6.35 2.45
Hanover – Dusseldorf 1.62 : 1.22 1 1 6.08 1.65
Karlsruhe – Hertha 1.62 : 1.22 1 1 5.01 3.36
Magdeburg – Dresden 1.44 : 1.47 X X 9.78 4.06
Elversberg – Bochum 1.70 : 1.48 1 1 6.47 2.02
Paderborn – Munster 1.56 : 1.33 1 1 7.37 1.76
Schalke – Klautern 1.42 : 1.80 2 2 4.81 3.80

Strategic recommendations and zones on risk

In this circle we don’t have matches in the zone Platinum Selection ($HI > 100$), which requires increased discipline. 1

  1. Zone on tall parity (HI 9-10): The meeting Magdeburg – Dresden shows highest mathematical harmony for equality .
  2. Zone on moderate variation (HI 6-8): Darmstadt , Paderborn and Elversberg are favorites according to the model , but their stability is moderate because of the tall one offensive risk .
  3. Zone on high uncertainty (HI < 6): The meetings on Schalke and Karlsruhe . The low index signals for big imbalance , where the names on the teams can yes mislead the statistical output. 1

The guardian angel reminds : follow the numbers , not emotions . We wish you success !

SKU: Mathematical analysis and forecasting model for the 19th round on German 2. Bundesliga ( Season 2025-2026) via the Harmony-Stability protocol Categories: , ,

Related products