migrate time lib detailed design to doxygen

[ryan-steel]

Description

Migrates the detailed design docs to doxygen to match process description guidelines which state that detailed design documentation belongs in code rather than separate design artifacts.

Moved examples usage patterns to the examples user manuals.

Related ticket

Part of #94

[github-actions]

License Check Results

🚀 The license check job ran with the Bazel command:

bazel run //:license-check

Status: ⚠️ Needs Review

Click to expand output

[License Check Output]
Extracting Bazel installation...
Starting local Bazel server (8.6.0) and connecting to it...
INFO: Invocation ID: 2af7d6a2-ab9c-4b0c-b9b3-d211915a46da
Computing main repo mapping: 
Computing main repo mapping: 
WARNING: For repository 'platforms', the root module requires module version platforms@1.0.0, but got platforms@1.1.0 in the resolved dependency graph. Please update the version in your MODULE.bazel or set --check_direct_dependencies=off
Computing main repo mapping: 
Computing main repo mapping: 
Computing main repo mapping: 
Loading: 
Loading: 3 packages loaded
Loading: 3 packages loaded
    currently loading: 
Loading: 3 packages loaded
    currently loading: 
Loading: 3 packages loaded
    currently loading: 
Loading: 3 packages loaded
    currently loading: 
Analyzing: target //:license-check (4 packages loaded, 0 targets configured)
Analyzing: target //:license-check (4 packages loaded, 0 targets configured)

Analyzing: target //:license-check (77 packages loaded, 10 targets configured)

Analyzing: target //:license-check (144 packages loaded, 958 targets configured)

Analyzing: target //:license-check (159 packages loaded, 4338 targets configured)

Analyzing: target //:license-check (169 packages loaded, 6296 targets configured)

Analyzing: target //:license-check (169 packages loaded, 6308 targets configured)

Analyzing: target //:license-check (169 packages loaded, 6308 targets configured)

Analyzing: target //:license-check (169 packages loaded, 6308 targets configured)

Analyzing: target //:license-check (172 packages loaded, 8195 targets configured)

Analyzing: target //:license-check (174 packages loaded, 10938 targets configured)

Analyzing: target //:license-check (176 packages loaded, 11429 targets configured)

Analyzing: target //:license-check (176 packages loaded, 11429 targets configured)

Analyzing: target //:license-check (176 packages loaded, 11429 targets configured)

Analyzing: target //:license-check (176 packages loaded, 11429 targets configured)

Analyzing: target //:license-check (176 packages loaded, 11429 targets configured)

INFO: Analyzed target //:license-check (177 packages loaded, 11555 targets configured).
INFO: From Generating Dash formatted dependency file ...:
INFO: Successfully converted 2 packages from Cargo.lock to bazel-out/k8-fastbuild/bin/formatted.txt
[14 / 16] [Prepa] JavaToolchainCompileBootClasspath external/rules_java+/toolchains/platformclasspath.jar
[15 / 16] Building license.check.license_check.jar (); 0s disk-cache, multiplex-worker
INFO: Found 1 target...
Target //:license.check.license_check up-to-date:
  bazel-bin/license.check.license_check
  bazel-bin/license.check.license_check.jar
INFO: Elapsed time: 32.720s, Critical Path: 2.50s
INFO: 16 processes: 12 internal, 3 processwrapper-sandbox, 1 worker.
INFO: Build completed successfully, 16 total actions
INFO: Running command line: bazel-bin/license.check.license_check ./formatted.txt <args omitted>
usage: org.eclipse.dash.licenses.cli.Main [-batch <int>] [-cd <url>]
       [-confidence <int>] [-ef <url>] [-excludeSources <sources>] [-help] [-lic
       <url>] [-project <shortname>] [-repo <url>] [-review] [-summary <file>]
       [-timeout <seconds>] [-token <token>]