Minor changes to Readme.md (#315)

* Minor changes to Readme.md
* Update Readme.md

Readme.md

@@ -12,7 +12,7 @@ Optimization Algorithm on Riemannian Manifolds.
 For a function $f: ℳ → ℝ$  that maps from a [Riemannian manifold](https://en.wikipedia.org/wiki/Riemannian_manifold)
 ℳ to the real line, we aim to solve
 
-> Find the minimizer p on ℳ, i.e. the (or a) point where f attains its minimum.
+> Find the minimizer p on ℳ, that is, the (or a) point where f attains its minimum.
 
 `Manopt.jl` provides
 
@@ -39,9 +39,9 @@ a Riemannian manifold.
 
 The following packages are related to `Manopt.jl`
 
-* [`Manifolds.jl`](https://juliamanifolds.github.io/Manifolds.jl/stable/) – a library of manifolds implemented using [`ManifoldsBase.jl`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/) :octocat: [GitHub repository](https://github.com/JuliaManifolds/Manifolds.jl)
-* [`ManifoldsDiff.jl`](https://juliamanifolds.github.io/ManifoldDiff.jl/stable/) – a package to use (Euclidean) AD tools on manifolds, that also provides several differentials and gradients. :octocat: [GitHub repository](https://github.com/JuliaManifolds/ManifoldDiff.jl)
-* [`JuMP.jl`](https://jump.dev/) can be used as interface to solve an optimization problem with Manopt. See [usage examples](https://manoptjl.org/stable/extensions/). :octocat: [GitHub repository](https://github.com/jump-dev/JuMP.jl)
+* [`Manifolds.jl`](https://juliamanifolds.github.io/Manifolds.jl/stable/): a library of manifolds implemented using [`ManifoldsBase.jl`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/) :octocat: [GitHub repository](https://github.com/JuliaManifolds/Manifolds.jl)
+* [`ManifoldsDiff.jl`](https://juliamanifolds.github.io/ManifoldDiff.jl/stable/): a package to use (Euclidean) AD tools on manifolds, that also provides several differentials and gradients. :octocat: [GitHub repository](https://github.com/JuliaManifolds/ManifoldDiff.jl)
+* [`JuMP.jl`](https://jump.dev/): can be used as interface to solve an optimization problem with Manopt. See [usage examples](https://manoptjl.org/stable/extensions/). :octocat: [GitHub repository](https://github.com/jump-dev/JuMP.jl)
 
 ## Citation
 
@@ -98,16 +98,16 @@ Note that all citations are in [BibLaTeX](https://ctan.org/pkg/biblatex) format.
 
 `Manopt.jl` belongs to the Manopt family:
 
-*  [manopt.org](https://www.manopt.org) – The Matlab version of Manopt, see also their :octocat: [GitHub repository](https://github.com/NicolasBoumal/manopt)
-* [pymanopt.org](https://www.pymanopt.org/) – The Python version of Manopt – providing also several AD backends, see also their :octocat: [GitHub repository](https://github.com/pymanopt/pymanopt)
+* [www.manopt.org](https://www.manopt.org): the MATLAB version of Manopt, see also their :octocat: [GitHub repository](https://github.com/NicolasBoumal/manopt)
+* [www.pymanopt.org](https://www.pymanopt.org): the Python version of Manopt—providing also several AD backends, see also their :octocat: [GitHub repository](https://github.com/pymanopt/pymanopt)
 
 but there are also more packages providing tools on manifolds:
 
-* [Jax Geometry](https://bitbucket.org/stefansommer/jaxgeometry/src/main/) (Python/Jax) for differential geometry and stochastic dynamics with deep learning
-* [Geomstats](https://geomstats.github.io) (Python with several backends) focusing on statistics and machine learning :octocat: [GitHub repository](https://github.com/geomstats/geomstats)
-* [Geoopt](https://geoopt.readthedocs.io/en/latest/) (Python & PyTorch) – Riemannian ADAM & SGD. :octocat: [GitHub repository](https://github.com/geoopt/geoopt)
-* [McTorch](https://github.com/mctorch/mctorch) (Python & PyToch) – Riemannian SGD, Adagrad, ASA & CG.
-* [ROPTLIB](https://www.math.fsu.edu/~whuang2/papers/ROPTLIB.htm) (C++) a Riemannian OPTimization LIBrary :octocat: [GitHub repository](https://github.com/whuang08/ROPTLIB)
-* [TF Riemopt](https://github.com/master/tensorflow-riemopt) (Python & TensorFlow) Riemannian optimization using TensorFlow
+* [Jax Geometry](https://bitbucket.org/stefansommer/jaxgeometry/src/main/) (Python/Jax): differential geometry and stochastic dynamics with deep learning
+* [Geomstats](https://geomstats.github.io) (Python with several backends): focusing on statistics and machine learning :octocat: [GitHub repository](https://github.com/geomstats/geomstats)
+* [Geoopt](https://geoopt.readthedocs.io/en/latest/) (Python & PyTorch): Riemannian ADAM & SGD. :octocat: [GitHub repository](https://github.com/geoopt/geoopt)
+* [McTorch](https://github.com/mctorch/mctorch) (Python & PyToch): Riemannian SGD, Adagrad, ASA & CG.
+* [ROPTLIB](https://www.math.fsu.edu/~whuang2/papers/ROPTLIB.htm) (C++): a Riemannian OPTimization LIBrary :octocat: [GitHub repository](https://github.com/whuang08/ROPTLIB)
+* [TF Riemopt](https://github.com/master/tensorflow-riemopt) (Python & TensorFlow): Riemannian optimization using TensorFlow
 
-Did you use `Manopt.jl` somewhere? Let us know! We'd love to collect those here as well.
+Did you use `Manopt.jl` somewhere? Let us know! We'd love to collect those here as well.