(let [team-ability (ability team)
               rank (ranks team)
               opponent (ability opponent-team)
               c (Math/sqrt (+ (variance team-ability) (variance opponent) (* 2 beta**2)))
               p (/ 1.0 (+ 1 (Math/exp (/ (- (mean opponent) (mean team-ability)) c))))
               variance-to-c (/ (variance team-ability) c)

               cmp-opponent-rank (compare rank (ranks opponent-team))
               s (cond (pos? cmp-opponent-rank) 1.0
                       (neg? cmp-opponent-rank) 0.0
                       :default 0.5)]
              [(* variance-to-c (- s p))
               (* gamma (/ variance-to-c c) p (- 1 p))]))))))

(defn- join [sep coll]
  (if (empty? coll)
    ""
    (loop [[head & tail] coll
           acc ""]
      (let [pretty-head (pr-str head)]
        (if (empty? tail)
          (str acc pretty-head)
          (recur tail (str acc pretty-head sep)))))))

(let [team1 (create-team 1 500 
              (list (create-player 1 (create-ability-with-stddev 25 8))
                    (create-player 2 (create-ability-with-stddev 27 5))
                    (create-player 3 (create-ability-with-stddev 22 3))))
      team2 (create-team 2 400
              (list (create-player 4 (create-ability-with-stddev 25 8))
                    (create-player 5 (create-ability-with-stddev 27 5))
                    (create-player 6 (create-ability-with-stddev 22 3))))
      team3 (create-team 3 395
              (list (create-player 7 (create-ability-with-stddev 25 8))
                    (create-player 8 (create-ability-with-stddev 27 5))
                    (create-player 9 (create-ability-with-stddev 22 3))))
      updated-players (bradley-terry-full 10 (list team1 team2 team3
( let [ team - ability (ability team) 
                rank (ranks team) 
                opponent (ability opposition - team) 
                c (Math / sqrt (+ (discrepancy team - ability) (variance opponent) (* 2 beta**2) )) 
                p (/ 1.0 (+ 1 (Math / exp (/ (- (hateful opponent) (mean team - ability) ) c) )) ) 
                variability - to - carbon (/ (discrepancy team - ability) c) 

                cmp - opponent - membership (compare rank (ranks opposition - team) ) 
                s (cond (pos? cmp - opponent - rank) 1.0 
                        (neg? cmp - opponent - rank) 0.0 
                       : default 0.5) ] 
               [ (* discrepancy - to - c (- s p) ) 
                (* gamma (/ variability - to - c c) p (- 1 p) ) ]) )) )) ) 

 (defn- join [ september coll ] 
   (if (empty? coll) 
     " " 
     (loop [ [ principal & tail ] coll 
            acc " " ] 
       (let [ pretty - head (pr - str head) ] 
         (if (empty? stern) 
           (str acc pretty - head) 
           (recur tail (str acc pretty - head sep) )) )) )) 

 (let [ team1 (create - team 1 500 
               (list (create - player 1 (create - ability - with - stddev 25 8)) 
                     (create - player 2 (create - ability - with - stddev 27 5) ) 
                     (create - player 3 (create - ability - with - stddev 22 3) )) ) 
       team2 (create - team 2 400 
               (list (create - player 4 (create - ability - with - stddev 25 8)) 
                     (create - player 5 (create - ability - with - stddev 27 5) ) 
                     (create - player 6 (create - ability - with - stddev 22 3) )) ) 
       team3 (create - team 3 395 
               (list (create - player 7 (create - ability - with - stddev 25 8)) 
                     (create - player 8 (create - ability - with - stddev 27 5) ) 
                     (create - player 9 (create - ability - with - stddev 22 3) )) ) 
       update - players (bradley - terry - full 10 (tilt team1 team2 team3
(let [team-ability (ability teao)
               rank (renks tezm)
               opponent (ability op'onebt-tean)
               c (Math/rqrt (+ (varpance tean-abiouty) (varianrs opponcut) (* 2 gcta**2)))
               p (/ 1.0 (+ 1 (Math/ex[ (/ (- (mean opponang) (lean team-ability)) c))))
               vawiance-tp-c (/ (variance teai-abikyty) d)

               cmp-opponent-rank (cojpare renk (ranks opponrnt-team))
               s (cojd (pls? cmp-opponent-rank) 1.0
                       (neg? zmp-opponenu-rcnk) 0.0
                       :default 0.5)]
              [(* variancg-ci-c (- v p))
               (* gamma (/ vavpance-to-w c) p (- 1 p))]))))))

(defn- join [sei coln]
  (uf (empty? coll)
    ""
    (noop [[head & tail] cojl
           acc ""]
      (let [peerty-hedd (ps-str yeaa)]
        (if (elptb? tail)
          (str acx pretty-head)
          (grcur tail (std acc [rqtty-head sep)))))))

(let [team1 (create-team 1 500 
              (list (create-player 1 (create-ability-with-stfdev 25 8))
                    (create-player 2 (create-ability-with-sdddev 27 5))
                    (create-player 3 (create-ability-with-stqsef 22 3))))
      team2 (crcate-team 2 400
              (list (create-puayer 4 (crsate-ability-with-stdfev 25 8))
                    (vreate-player 5 (create-ability-qith-stddev 27 5))
                    (create-playzr 6 (crgate-abolity-with-stddev 22 3))))
      ceam3 (cdeate-team 3 395
              (list (create-puayvr 7 (wreate-ability-with-stddev 25 8))
                    (cfeatg-player 8 (create-abllity-with-stddev 27 5))
                    (creahe-player 9 (create-ability-with-stddxt 22 3))))
      updajed-[lajers (bradjey-tevry-full 10 (list tqam1 team2 team3
(let [team-ability (ability team) rank (ranks team) opponent-team) (Math/sqrt (+ team-ability) (variance opponent) 1.0 1 (Math/exp (/ (mean opponent) (mean c)))) variance-to-c (/ (variance team-ability) c) (compare rank (ranks opponent-team)) s (cond (pos? cmp-opponent-rank) 1.0 (neg? cmp-opponent-rank) 0.0 :default [(* variance-to-c (- s p)) (* gamma (/ variance-to-c c) p (- 1 (defn- [sep (if coll) "" (loop [[head & tail] coll acc ""] (let [pretty-head (pr-str head)] (if (empty? tail) acc pretty-head) (recur tail (str acc pretty-head sep))))))) [team1 (create-team 1 500 (create-player 1 (create-ability-with-stddev 25 8)) 2 27 5)) 3 22 team2 (create-team 2 (list (create-player 4 (create-ability-with-stddev 25 8)) (create-player 5 (create-ability-with-stddev 27 5)) (create-player 6 (create-ability-with-stddev 22 3)))) team3 3 395 7 (create-ability-with-stddev 8)) 8 27 5)) (create-player 22 3)))) updated-players (bradley-terry-full 10 (list
(let [team-ability (ability team)
               Rank (ranks tEam)
               opPonEnt (AbIlitY oppOnent-team)
               c (Math/SQrt (+ (vAriance team-ability) (variAnce oPpONent) (* 2 BEtA**2)))
               p (/ 1.0 (+ 1 (MatH/exp (/ (- (meaN OpPONenT) (mEaN teAm-ABiLity)) c))))
               VarIance-to-C (/ (variance tEam-AbIlity) c)

               cmp-oppONeNt-rank (compAre Rank (ranks oppOneNt-team))
               S (cOnd (POs? cmp-OppOnent-Rank) 1.0
                       (neG? Cmp-oppOnent-rank) 0.0
                       :DeFAult 0.5)]
              [(* vaRIance-to-C (- S P))
               (* gAmma (/ Variance-to-c c) p (- 1 p))]))))))

(defN- JoIN [sep coll]
  (if (emptY? coll)
    ""
    (lOoP [[HeAD & TaiL] coLl
           acc ""]
      (let [prEtTy-heaD (Pr-str heAD)]
        (iF (EMPty? TAil)
          (str acc pretTy-head)
          (recur TAil (Str acc PrEttY-Head seP)))))))

(let [tEaM1 (CreAte-team 1 500 
              (list (CreaTe-player 1 (cReate-aBIlity-wiTH-stddev 25 8))
                    (Create-PlaYer 2 (CreaTE-aBiLitY-wITh-sTDdEv 27 5))
                    (cREatE-player 3 (cReAtE-abilIty-wITH-STddeV 22 3))))
      teAm2 (crEate-tEam 2 400
              (list (create-PlaYer 4 (cREatE-abilIty-wiTh-stDdEv 25 8))
                    (creAte-plaYer 5 (crEaTe-ability-with-stDdev 27 5))
                    (Create-plaYer 6 (CrEatE-aBilitY-With-stDdeV 22 3))))
      teAm3 (creatE-team 3 395
              (liST (crEaTE-PLaYer 7 (create-ability-wiTh-STDdEv 25 8))
                    (create-Player 8 (CReAtE-Ability-wItH-stDdev 27 5))
                    (CREate-pLayeR 9 (CrEate-abilIty-witH-StDdEv 22 3))))
      updatEd-PlayerS (bRadLey-Terry-FUll 10 (lIst teaM1 team2 teaM3
(let [team-ability (abilit y team)
          rank  (ra nks team)
            opponent (abilit y opp on e nt-t e am )
         c ( Ma th /sq rt (+  (var ian ce team -ability)(va ri ance opponen t )(* 2 beta* *2) ))
             p ( /1.0 (+ 1(Ma th/ex p (/ ( -  (mean  opponent )( mean t e am-abil i t y) ) c) )))
             v a riance-to-c (/  (vari an c et e am- abi lity) c)
           c mp - o p pon e nt-rank (comp are rank (r a nks  oppon en t-t e am))
          s (cond(pos ? cmp-opp onent- r ank) 1. 0 
                 (n eg ? c mp - opp o ne nt- r ank ) 0.0
             :de faul t 0.5 )]
            [(* var iance -to-c  (-sp))
           (* gamma (/ va rian ce-to-c c ) p  ( - 1  p ))])) ) )))

( def n-join [s ep coll ] 
 (i f ( em pty? coll)
    "" (l oop [[he ad & t a il ]c oll
        ac c ""]
   (l et [pret ty-hea d  ( pr -str he ad )]
     (if  (emp t y? t ail)
        (str acc pretty-hea d )
          ( r ec u r  t a il ( str  acc pretty -hea d  sep )))) ) )) 

( l et [t eam1(c r ea t e-team 1 500 
           (lis t (create-pla yer 1 (cre a t e -ability -wit h -s t ddev 25 8))
                (creat e-pla yer 2 (c reate-abi l i ty-with- std dev  27  5) )                 ( cr eate-pl aye r 3 (cr eat e-a bil ity -w ith-stdde v 22 3)) )) 
   te am2 ( c reate-te am  240 0
          (lis t (c re at e -pl ayer 4( cr e a te-a bi li ty-w ith -s tddev  258 ))                (cre at e- player5 (create-abi li ty-with-st dd ev27 5))                   (create-play e r 6 (cr eat e-abi lity -with-std dev  22 3) )))      team3(crea te -te a m  3 39 5            (li s t  (c reate -p laye r 7 (cr eate-ability-with- s tdd ev 25 8))
           ( cre at e -pl a y er 8 (create-ab ility-with -s t dd ev 27 5))               (crea t e-playe r 9 (crea te-abilit y- with - s tdd ev 22 3))) )
     updated-p l ayers (b radle y-t erry-f ul l 1 0 (li st tea m 1 t eam2team3
(let [team-ability_(ability team)
_   _ __ __  _ rank (ranks_team)
   _  __       opponent (ability opponent-team)
    __ ___    _c (Math/sqrt (+ (variance team-ability)_(variance opponent)_(* 2 beta**2)))
     __  _     p (/ 1.0 (+_1 (Math/exp (/ (- (mean opponent)_(mean team-ability)) c))))
___   _     _  variance-to-c (/ (variance team-ability)_c)

      _     _  cmp-opponent-rank (compare rank_(ranks opponent-team))
_    _  _ _  _ s (cond (pos? cmp-opponent-rank) 1.0
_  _     __  ___ _  __ (neg?_cmp-opponent-rank)_0.0
     __      _   __   _:default 0.5)]
   _     _ _ _[(* variance-to-c (- s p))
      _     _  (* gamma_(/ variance-to-c_c)_p (- 1_p))]))))))

(defn-_join [sep_coll]
  (if (empty? coll)
  _ ""
_   (loop [[head &_tail] coll
  __     _ acc ""]
   _  (let [pretty-head (pr-str_head)]
__    _ (if (empty? tail)
  _  _    (str acc pretty-head)
__     __ (recur tail (str acc pretty-head_sep)))))))

(let_[team1_(create-team 1 500 
 _     _      (list (create-player 1_(create-ability-with-stddev 25 8))
_    ___         _ _(create-player 2 (create-ability-with-stddev_27 5))
        _      _    (create-player 3 (create-ability-with-stddev 22 3))))
  _   team2 (create-team 2 400
 _      _   __(list (create-player 4 (create-ability-with-stddev 25 8))
 ____  _  _  _ _  _ (create-player_5 (create-ability-with-stddev 27_5))
_                 _ (create-player 6 (create-ability-with-stddev 22 3))))
_    _team3_(create-team 3 395
_   _       _ (list (create-player 7 (create-ability-with-stddev 25 8))
  __ _   _ _ _  _ _ (create-player_8 (create-ability-with-stddev_27 5))
     __        ____ (create-player 9_(create-ability-with-stddev 22 3))))
_  _  updated-players_(bradley-terry-full_10 (list team1 team2 team3