Template:Math/testcases

This page is for testing in the Cologne Blue, Modern, Monobook and Vector skins. Sans-serif / serif scaling ratio is 118%.

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basic

{{Math|1={ ''z'' : ℐ<sub>''m''</sub> ''z'' > 0 } and ''u''(''t'') = ℛ<sub>''e''</sub> ''f'' ( ''t'' + 0·''i'' ), then  ℐ<sub>''m''</sub> ''f'' ( ''t'' + 0·''i'' ) = ''H''(''u'')(''t'')}}

{{Math}}

{ z : ℐ_m z > 0 } and u(t) = ℛ_e f ( t + 0·i ), then ℐ_m f ( t + 0·i ) = H(u)(t)

{{Math/sandbox}}

{ z : ℐ_m z > 0 } and u(t) = ℛ_e f ( t + 0·i ), then ℐ_m f ( t + 0·i ) = H(u)(t) Y

The =-sign

{{Math|1+2=3}}

{{Math}}

{{{1}}}

{{Math/sandbox}}

{{{1}}} N

{{=}}

{{Math|1= 1+2=3 }}

{{Math}}

1+2=3

{{Math/sandbox}}

1+2=3 Y

Using unnamed parameter 1

{{Math|1+2=3}}

{{Math}}

{{{1}}}

{{Math/sandbox}}

{{{1}}}N

{{Math|1=1+2=3}}

{{Math}}

1+2=3

{{Math/sandbox}}

1+2=3Y

The |-sign (pipe)

{{Math|a abs: | a | }}

{{Math}}

a abs:

{{Math/sandbox}}

a abs: N

{{!}}

{{Math|a abs: | a |}}

{{Math}}

a abs: | a |

{{Math/sandbox}}

a abs: | a |Y

blank positional

{{Math|a abs: | a | is a abs | }}

{{Math}}

a abs:

{{Math/sandbox}}

a abs: N

using {{!}}

{{Math|a abs: | a | is a abs | }}

{{Math}}

a abs: | a | is a abs |

{{Math/sandbox}}

a abs: | a | is a abs | Y

Times New Roman (current template)

(font-family: 'Times New Roman', 'Nimbus Roman No9 L', Times, serif;)

A compact way of rephrasing the point that the base-b logarithm of y is the solution x to the equation f(x) = b^x = y is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line x = y, as shown at the right: a point (t, u = b^t) on the graph of the exponential function yields a point (u, t = log_bu) on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function f(x) = b^x is continuous and differentiable, so is its inverse function, log_b(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Computer Modern Unicode, Times New Roman (/sandbox1)

(font-family: 'CMU Serif', 'Times New Roman', 'Nimbus Roman No9 L', Times, serif;)

A compact way of rephrasing the point that the base-b logarithm of y is the solution x to the equation f(x) = b^x = y is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line x = y, as shown at the right: a point (t, u = b^t) on the graph of the exponential function yields a point (u, t = log_bu) on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function f(x) = b^x is continuous and differentiable, so is its inverse function, log_b(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Palatino Linotype (/sandbox2)

(font-family: 'Palatino Linotype', 'URW Palladio L', Palatino, serif;)

A compact way of rephrasing the point that the base-b logarithm of y is the solution x to the equation f(x) = b^x = y is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line x = y, as shown at the right: a point (t, u = b^t) on the graph of the exponential function yields a point (u, t = log_bu) on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function f(x) = b^x is continuous and differentiable, so is its inverse function, log_b(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Century Schoolbook (/sandbox3)

(font-family: 'Century Schoolbook', 'Century Schoolbook L', serif;)

A compact way of rephrasing the point that the base-b logarithm of y is the solution x to the equation f(x) = b^x = y is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line x = y, as shown at the right: a point (t, u = b^t) on the graph of the exponential function yields a point (u, t = log_bu) on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function f(x) = b^x is continuous and differentiable, so is its inverse function, log_b(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Cambria (/sandbox4)

(font-family: Cambria, serif;)

A compact way of rephrasing the point that the base-b logarithm of y is the solution x to the equation f(x) = b^x = y is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line x = y, as shown at the right: a point (t, u = b^t) on the graph of the exponential function yields a point (u, t = log_bu) on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function f(x) = b^x is continuous and differentiable, so is its inverse function, log_b(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".

Constantia (/sandbox5)

(font-family: Constantia, serif)

A compact way of rephrasing the point that the base-b logarithm of y is the solution x to the equation f(x) = b^x = y is to say that the logarithm function is the inverse function of the exponential function. Inverse functions are closely related to the original functions: the graphs of the two correspond to each other upon reflecting them at the diagonal line x = y, as shown at the right: a point (t, u = b^t) on the graph of the exponential function yields a point (u, t = log_bu) on the graph of the logarithm and vice versa. Moreover, analytic properties of the function pass to its inverse function. Thus, as the exponential function f(x) = b^x is continuous and differentiable, so is its inverse function, log_b(x). Roughly speaking, a differentiable function is one whose graph has no sharp "corners".