diff b1f9bc4..6fbd3ac trace_reconstruction_anchor_induction_v2.txt
diff --git a/trace_reconstruction_anchor_induction_v2.txt b/trace_reconstruction_anchor_induction_v2.txt
index 02f3af4..001daa8 100644
--- a/trace_reconstruction_anchor_induction_v2.txt
+++ b/trace_reconstruction_anchor_induction_v2.txt
@@ -172,7 +172,7 @@ finite partitions.
   at radius r. We only use one consequence: a large value at one
   interior point forces a comparable value somewhere on any arc that
   carries enough Poisson weight. Boundary zeros are harmless; apply the
-  inequality to log(|f| + delta) and let delta tend to 0.
+  ineuality to log(|f| + delta) and let delta tend to 0.
 
   FACT 6 (Hadamard three-lines). If G is analytic and |G| <= 1 in the
   vertical strip a <= Re s <= b, then log sup_{Re s = t} |G| is a
@@ -533,7 +533,7 @@ or none at all, in which case eta = 0; this gives the -eta z^u term.
 Every further occurrence, in either string, ends at least P_0 away from
 d, giving the tail.
 
-8.5 The pivot by the Poisson inequality.
+8.5 The pivot by the Poisson ineuality.
 
 Let v = 10 log(P_0) / P_0. At the positive real point z = exp(-v):
 
@@ -556,7 +556,7 @@ On the circle |z| = exp(-a_0) the crude bound |H(z)| <= 2/a_0 holds.
 There are at most about 1/a_0 contributing offsets, each coefficient at
 most 2; since 1/a_0 is astronomically large, this is trivial.
 
-The Poisson inequality on the disk of radius exp(-a_0) centred at 0,
+The Poisson ineuality on the disk of radius exp(-a_0) centred at 0,
 evaluated at the interior point exp(-v) which is much closer to 1, then
 gives
 
@@ -709,7 +709,7 @@ and we define
 
     G_cal = sum_l k_l g_l,         Q = sum_l k_l q_l.
 
-The Poisson inequality, applied to the pivot bound on J_diamond, implies
+The Poisson ineuality, applied to the pivot bound on J_diamond, implies
 the deficit budget
 
     G_cal + Q <= 1.003.
@@ -792,7 +792,7 @@ Table. Round |v_0^*| up to w in {1,2,3,4,5}. Set
     M       .419    .357    .297    .246    .208
     J_*     .524    .453    .380    .335    .292
 
-These are conservative, in the sense of the four inequalities
+These are conservative, in the sense of the four ineualities
 
     M    < 1/2 - (2/pi) arctan( exp(-pi/S) ) - .0002
     J_*  < (1/pi)( arctan(S+w) + arctan(S-w) ) - .0002
@@ -1350,7 +1350,7 @@ actual traces.
          <= |1 - u|^2/(1 - |u|^2) + |1 - v|^2/(1 - |v|^2).        (14.3)
 
   Proof: 1 - uv = (1 - u) + u(1 - v), then the weighted
-  Cauchy-Schwarz inequality with weights (1 - |u|^2) and
+  Cauchy-Schwarz ineuality with weights (1 - |u|^2) and
   |u|^2 (1 - |v|^2), whose sum is exactly 1 - |uv|^2.
 
 Apply (14.3) with u = z_0, which has kappa >= 4/p, and v =
@@ -1477,7 +1477,7 @@ Fix x and y. Let delta = |E_x T - E_y T|. By Claim 14.2, T takes
 values in [0,1] after the harmless shift T -> (T + 1)/2, which does not
 change the gap.
 
-Hoeffding's inequality: with N independent traces, the empirical
+Hoeffding's ineuality: with N independent traces, the empirical
 average of T deviates from its mean by delta/2 with probability at most
 2 exp(-N delta^2/2). So
 
@@ -1634,7 +1634,7 @@ This extension concerns sample complexity only.
   Fine and Wilf. "Uniqueness theorems for periodic functions." The
   period lemma.
 
-  Hoeffding. "Probability inequalities for sums of bounded random
+  Hoeffding. "Probability ineualities for sums of bounded random
   variables." The concentration used in section 15.
 
   Rubinstein. "Explicit separating words." The period and separation