From d1623fe7b3013566422448531dc919e84c31cf67 Mon Sep 17 00:00:00 2001
From: Hiroshi Shinaoka <h.shinaoka@gmail.com>
Date: Fri, 15 Dec 2023 16:02:49 +0900
Subject: [PATCH] Update guide.md

---
 docs/src/guide.md | 42 ++++++++++++++++++++++++++++++++++++++++--
 1 file changed, 40 insertions(+), 2 deletions(-)

diff --git a/docs/src/guide.md b/docs/src/guide.md
index 3731d04..b126af4 100644
--- a/docs/src/guide.md
+++ b/docs/src/guide.md
@@ -18,8 +18,46 @@ We first import `SparseIR` and construct an appropriate basis (``\omega_\mathrm{
 ```julia-repl
 julia> using SparseIR
 
-julia> basis = FiniteTempBasis(fermion, 10, 8)
-FiniteTempBasis{LogisticKernel, Float64}(fermion, 10.0, 8.0)
+julia> basis = FiniteTempBasis(Fermionic(), 10, 8)
+38-element FiniteTempBasis{Fermionic} with β = 10.0, ωmax = 8.0 and singular values:
+ 1.4409730317545622
+ 1.2153954454510796
+ 0.7652662478347486
+ 0.49740673945822544
+ 0.28856209562310586
+ 0.16398195527438167
+ 0.08901271087151325
+ 0.04683797435429747
+ 0.0238576532335063
+ 0.011793733096027617
+ 0.0056624000214117775
+ 0.0026427291749051077
+ 0.0011996720525663928
+ 0.0005299554043095772
+ 0.00022790287514550184
+ 9.544046906619731e-5
+ 3.893189538316289e-5
+ 1.547291956701861e-5
+ 5.992753725069489e-6
+ 2.262327623958672e-6
+ 8.326134974145948e-7
+ 2.987946971803453e-7
+ 1.0457471180503993e-7
+ 3.5701720120493045e-8
+ 1.1891781849704674e-8
+ 3.8653572177285625e-9
+ 1.2263378230199123e-9
+ 3.798435437588598e-10
+ 1.1488765720437616e-10
+ 3.394058119073853e-11
+ 9.796004365155715e-12
+ 2.7629432401376287e-12
+ 7.617289242492584e-13
+ 2.053283747601055e-13
+ 5.4129508727263855e-14
+ 1.3959632874817246e-14
+ 3.5228017131146852e-15
+ 8.701560285902632e-16
 ```
 There's quite a lot happening behind the scenes in this first innocuous-looking statement, so let's break it down:
 Because we did not specify otherwise, the constructor chose the analytic continuation kernel for fermions, `LogisticKernel(80.0)`, defined by