"outward show" is a correct and usable phrase in written English.
It is used to describe something which appears to be true or the way someone appears to others, but may or may not be true in reality. For example, you might say "She may have an outward show of wealth, but she is actually quite poor."
This is the outward show of differ ences that are crucial and fundamental.
Perhaps all they want is the outward show of his love for them.
They work steadily and efficiently, with no outward show of awe, panic or haste.
The conservatives greeted the news of Clinton's taking over the White House with no outward show of horror.
She later recalled her parents' outward show of courage and gaiety and her own sullen pride in defying her humiliations.
Modern buildings have been designed with scant respect for the local environment and have been built for outward show.
The open spaces of Westminster are for display and outward shows of charm.
At first, the years vacillate inward and outward, showing that a clear warming signal had yet to emerge from the natural fluctuations that happen from year to year.
The increase in coarse/fine ratio from the centre outward showed that accumulation of calcite and sepiolite displaced the original sand matrix by a greater degree than the silica accumulation, consistent with the topographically raised surface in the centre.
Beneath the outward shows of frustration and rancor, Democrats said a deal could still be reached before hundreds of billions of dollars in automatic tax increases and spending cuts go into effect, threatening the fragile economy.
This is because the focus of Great Lent should not be on outward shows of piety, but rather accepting the love and generosity of others.
